You work at a coffee house. Roasted beans retain approximately 3/5 of their weight of their initial weight approximately what percent of their initial weight do they retain?

Answers

Answer 1

Answer:

60 percent

Step-by-.step explanation:

You need to convert 3/5 to a percentage.

This is 3*100 / 5

= 300 / 5

= 60 per cent

Answer 2

Final answer:

Roasted beans retain 3/5 of their initial weight, which is equivalent to 60% when converted to a percent.

Explanation:

To convert this fraction to a percentage, we follow the steps outlined in the explanation: dividing the numerator by the denominator to get a decimal value, and then multiplying by 100 to express it as a percentage. In this case, 3 divided by 5 equals 0.60, which when multiplied by 100 gives 60%.

The roasted beans retain approximately 3/5 of their initial weight after roasting. To determine what percentage of their initial weight they retain, we convert the fraction 3/5 to a percent. To do this:

Divide the numerator of the fraction by the denominator: 3 ÷ 5 = 0.60.Multiply the resulting decimal by 100 to convert it to a percentage: 0.60 × 100 = 60%.

Therefore, roasted beans retain 60% of their initial weight.


Related Questions

Hasan plans to choose a book from a section of the store where everything is 25% 25 % off. He writes the expression d?0.25d d - 0 . 25 d to find the sale price of the book if the original price is d d dollars. Bella correctly writes another expression, 0.75d 0 . 75 d , that will also find the sale price of the book if the original price is d dollars. Use the drop-down menus to explain what each part of Hasan's and Bella's expressions mean.

Answers

Answer:

Both are correct. See below.

Step-by-step explanation:

Hasan's expression 0.25d will find the amount of the discount in $$$ for a 25% discount. By writing d-0.25d he will also find the sale price by subtracting the original by the discount in $$$.

Bella's expression 0.75d finds the sale price for a 25% discount. If you receive 25% off then you pay 75%. Bella also wrote d-0.75d which gives the amount in dollars of the discount. By subtracting the sale price from the original, we find the deduction the sale gives.

Answer:

Step-by-step explanation:

If G(x) = 3x + 1, then G -1(1) is
4
1/3
0

Answers

Answer:

0


Step-by-step explanation:

[tex]g(x) = 3x + 1 \\\ y = 3x + 1[/tex]


Changing x to y and y to x:


[tex]x = 3y + 1 \\\ 3y = x - 1 \\\ y = \frac{x - 1}{3} \\\ g^{-1}(x) = \frac{x - 1}{3} \\\ g^{- 1} (1) = \frac{1 - 1}{3} \\\ g^{- 1} (1) = 0[/tex]


I hope I helped you.

Answer:

0

Step-by-step explanation:

Hope this helps.

Help fast
given V=IWH which shows an equation showing H

1 H=V/IW

2 H=IW/V

3 H=VI/W

4 H=VIW

Answers

Answer:

h = 3V / lw <===ANSWER

Step-by-step explanation:

V = 1/3 lwh (multiply both sides by 3)

3V = lwh (divide both sides by lw)

3V / lw = h

Let $f(x) = x^{10}-8x^8-8x^3+12x^2-5x-5$. Without using long division (which would be horribly nasty!), find the remainder when $f(x)$ is divided by $x^2-1$.

Answers

Final answer:

To find the remainder when dividing the polynomial f(x) = x^10-8x^8-8x^3+12x^2-5x-5 by x^2-1, we can use synthetic division. Carrying out the synthetic division process, the remainder is -10x + 7.

Explanation:

To find the remainder when dividing the polynomial f(x) = x^{10}-8x^8-8x^3+12x^2-5x-5 by x^2-1, we can use polynomial long division. However, since we want to avoid this method, we can use synthetic division instead.

Write the divisor in its factored form: x^2 - 1 = (x-1)(x+1).Perform synthetic division using the factored form of the divisor. Start by writing the coefficients of the dividend in descending order: 1, 0, -8, 0, -8, 12, -5, 0, 0, -5.Carry out the synthetic division process, dividing by the 1st factor (x-1), then by the 2nd factor (x+1). The final remainder is the result of the division.

After performing synthetic division, we find that the remainder is -10x + 7. Therefore, the remainder when dividing f(x) by x^2 - 1 is -10x + 7.

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An elevator can carry 800 pounds of weight. A student weighing 95 pounds gets on the elevator. Write and solve an inequality to represent the remaining weight that can be added.

Answers

It would be 95x less than or equal to sign 800
Final answer:

To represent the remaining weight that can be added to the elevator, write and solve the inequality 800 - 95 ≥ x. The remaining weight is 705 pounds or less.

Explanation:

To represent the remaining weight that can be added to the elevator, we can use an inequality. Let's assume that the remaining weight is represented by 'x' pounds. The total weight the elevator can carry is 800 pounds. So, the inequality can be written as:

800 - 95 ≥ x

To solve the inequality, we subtract 95 from both sides:

x ≤ 800 - 95

x ≤ 705

Therefore, the remaining weight that can be added to the elevator is 705 pounds or less.

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what is the solution to the system of equations?

2x-3y+z=-19
5x+y-z=-7
-x+6y-z=35

A. (2,-6,-11)
B. (-2,6,3)
C. (6,2,-25)
D. (-2,6,9)

Answers

that answer is B because first u have to solve for Z in 2x-3y+Z=19

Z will be Z=-19-2x+3y


Answer:

B. (-2,6,3)

Step-by-step explanation:

First we will cancel the z-variable in the first two equations.  We will do this by adding the second equation to the first:

[tex]\left \{ {{2x-3y+z=-19} \atop {+(5x+y-z=-7)}} \right. \\\\7x-2y=-26[/tex]

Next we cancel the z-variable in the bottom two equations.  We will do this by subtracting the bottom equation from the middle one:

[tex]\left \{ {{5x+y-z=-7} \atop {-(-x+6y-z=35)}} \right. \\\\6x-5y=-42[/tex]

We can now take these equations without z as a system:

[tex]\left \{ {{7x-2y=-26} \atop {6x-5y=-42}} \right.[/tex]

We will make the coefficients of y the same by multiplying the top equation by 5 and the bottom by 2:

[tex]\left \{ {{5(7x-2y=-26)} \atop {2(6x-5y=-42)}} \right. \\\\\left \{ {{35x-10y=-130} \atop {12x-10y=-84}} \right.[/tex]

Next we subtract the bottom equation from the top:

[tex]\left \{ {{35x-10y=-130} \atop {-(12x-10y=-84)}} \right. \\\\23x=-46[/tex]

Divide both sides by 23:

23x/23 = -46/23

x = -2

Substitute this into the first equation without z:

7(-2)-2y = -26

-14-2y = -26

Add 14 to each side:

-14-2y+14 = -26+14

-2y = -12

Divide both sides by -2:

-2y/-2 = -12/-2

y = 6

Substitute both x and y into our first original equation:

2(-2)-3(6)+z = -19

-4-18+z = -19

-22+z = -19

Add 22 to each side:

-22+z+22 = -19+22

z = 3

Hair color is an inherited trait. In Marci's family, her mother has brown hair. Her father has blonde hair. The family has 6 children in all. Of the children 6 children,1/3 of them have blonde hair,1/6 of them have red hair, and 1/2 of them have brown hair. In simplest form, what fraction of the children has red or brown hair?

Answers

Answer:

the number of children has red or brown hair is [tex]\frac{2}{3}[/tex].

Step-by-step explanation:

We have  been  given that in Marci's family there are total 6 children.

Out of 6 children

Number of children have blonde hair = [tex]\frac{1}{3}[/tex]

Number of children have red hair = [tex]\frac{1}{6}[/tex]

Number of children have brown hair = [tex]\frac{1}{2}[/tex]

Since, we have to find the fraction of children has red or brown hair=[tex]\frac{1}{6}+\frac{1}{2}=\frac{4}{6}=\frac{2}{3}[/tex]

Hence, the number of children has red or brown hair is [tex]\frac{2}{3}[/tex]

Final answer:

The fraction of children with red or brown hair in Marci's family is 2/3.

Explanation:

To determine the fraction of children that have red or brown hair, we can add the fractions of children that have red hair and brown hair. From the given information, we know that 1/6 of the children have red hair and 1/2 of the children have brown hair. To find a common denominator, we can multiply the fractions by the same number. Multiplying 1/6 by 3, we get 3/18. Multiplying 1/2 by 9, we get 9/18. Adding the two fractions together, we get a total of 12/18. However, we can simplify this fraction by dividing both the numerator and denominator by their greatest common divisor, which is 6. After simplifying, we find that the fraction of children with red or brown hair is 2/3.

Annabelle apanhou o Polar Express até o Pólo Norte! O Polar Express tem 100 metros de comprimento e leva 30 segundos para atravessar a ponte de gelo de 400 metros do Papai Noel. Qual a velocidade do trem?

Answers

Answer:

Speed of train = 16.67 m/s

Step-by-step explanation:

The translated question is

Annabelle took the Polar Express to the North Pole! The Polar Express is 100 meters long and takes 30 seconds to cross the Santa Fe 400 meter ice bridge. How fast is the train?

Total distance traveled by train to cross the bridge = Length of bridge + Length of train

 Total distance traveled by train to cross the bridge = 400 + 100 = 500 meter.

Time taken for this = 30 seconds.

Speed = Distance / Time = 500/30=16.67 m/s        

Answer:

Speed of train = 16.67 m/s

Step-by-step explanation:

Please give Brainliest

What is the value of [tex]a[/tex] ?

Answers

Answer:

hello :

the graph passes by ( 3; -1/3)  : f(3) = -1/3

a/ (3)^3 = -1/3

a / 27 = -1/3

a/9 = - 1

a = - 9



We have the point:

[tex]\left(3,\ -\dfrac{1}{3}\right)[/tex]

Put the coordinates of the point to the equation of the function f:

[tex]f(x)=\dfrac{a}{x^3}\to y=\dfrac{a}{x^3}\\\\\left(3,\ -\dfrac{1}{3}\right)\to x=3,\ y=-\dfrac{1}{3}\\\\\dfrac{a}{3^3}=-\dfrac{1}{3}\\\\\dfrac{a}{27}=-\dfrac{1}{3}\qquad\text{multiply both sides by 27}\\\\a=-\dfrac{1}{3}\cdot27\\\\\boxed{a=-9}[/tex]

Which of the following equations represents the greatest value of x?

1: x2 = 24
2: x3 = 64
3: x2 = 28
4: x3 = 125

Equation 1
Equation 2
Equation 3
Equation 4

Answers

Answer:

Equation 4

Step-by-step explanation:

Equation 1 : 2x = 24

                   x = 12

Equation 2: 3x = 64

                   x = 21

Equation 3 : 2x = 28

                    x = 14

Equation 4 : 3x = 125

                    x = 41 (Highest value for x)

Answer:

D, Equation 4.

Step-by-step explanation:

You would divide 24 by 2, = 12

You would divide 64 by 3, = 21.3

You would divide 28 by 2, = 14

You would divide 125 by 3, = 41.6

Therefore D equation 4.

I took test and got it correct. Brainliest!?

How many solutions does the graphed system of equations have:

Answers

Answer:

since the lines don't intersect there is no solution.


Solve for x given BD = 4x+3 and AE = 4x+8. Assume B is the midpoint of segment AC and D is the midpoint of segment CE.

Answers

Answer: The fraction x = 1/2 or its equivalent decimal form x = 0.5

================================================

Work Shown:

AE = 2*(BD)

4x+8 = 2*(4x+3)

4x+8 = 8x+6

8-6 = 8x-4x

2 = 4x

4x = 2

x = 2/4

x = 1/2

x = 0.5

note: the first equation is set up basically saying that AE is twice that of BD; put another way, BD is half as long as AE. This is one property of midsegments. Another property is that AE and BD are parallel.

another note: if x = 0.5, then AE = 4*x+8 = 4*0.5+8 = 10 while BD = 4*x+3 = 4*0.5+3 = 5, showing that AE is indeed two times longer than BD.

Final answer:

If B and D are midpoints and BD = AE, the lengths BD and AE can be equated. Simplifying the derived equation seems to show a discrepancy suggesting a typo or a misinterpretation in the question.

Explanation:

The problem you're trying to solve involves geometric principles related to midpoints and algebraic concepts. Given that B is the midpoint of segment AC and D is the midpoint of segment CE, we know that BD = AE. Therefore, we can equate the expressions for these segment lengths. This gives us the equation 4x+3 = 4x+8.

To solve for x, we can begin by cancelling out the common terms on both sides, in this case 4x. This simplifies the equation to 3 = 8, which doesn't make sense. This might be an indication of either a typo in the original problem or misinterpretation of the question.

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Please help me
thanks

Answers

Problem 1

Answer: choice D) 84% of the wage earners earn less than $14,000 each

------------

The empirical rule states that 95% of the area under a normal curve is within 2 standard deviations (approximately), so 100-95 = 5% is found in the two tails combined, leaving 5/2 = 2.5% in each tail. Because the top 2.5% earns $18000 or more, this means 18000 is roughly 2 standard deviations above the mean, so z = 2

If z = 2 corresponds to with x = 18000, with mean mu = 10000, then the standard deviation sigma is...

z = (x-mu)/sigma

2 = (18000 - 10000)/sigma

2 = 8000/sigma

2sigma = 8000

sigma = 8000/2

sigma = 4000

So mu+sigma = 10000+4000 = 14000 is the cutoff mark for the earners 1 standard deviation above the mean.

Check out the attached image figue 1 for the diagram for the empirical rule. Add up the values that are to the left of z = 1, so 2.35+13.5+34+34 = 83.85 which rounds to 84

===============================================

Problem 2

Answer: choice D) 2.5%

-----------

x = 250, mu = 190 and sigma = 30

z = (x-mu)/sigma

z = (250-190)/30

z = 60/30

z = 2

According to the emprical rule, roughly 95% of the distribution is within 2 standard deviations. So 100-95 = 5% is in the combined tails leaving 5/2 = 2.5% is in the upper tail.

===============================================

Problem 3

Answer: Choice D) 4,4,4,5,5,6,7,7,8,8,8

------------

Plot each of the values on a dot plot. See the attached image figure 2 for each dotplot. Notice how plot D is bimodal with two hill features, so this distribution is non-normal. Normal distributions only have one mode (one hill).


I need help with 2,3, and 4.
Explain the answers too thx

Answers

Answer:

2. G

3. Plane AGH

4. Four planes

Step-by-step explanation:

2. G is the correct answer. Planes ABC and ABI cross intersect at line AB

3. Plane AGH is parallel to the plane containing line EF

4. There are 4 planes perpendicular. Planes DCJ, DCB, BIH, and JIH are all connected to the front plane and are all parallel.

I WILL MARK YOU BRAINLYEST if you answer all of my problems !!!!!!!!!!!


1# how many candy bars can you buy with $5.10 if one candy bar cost $0.85?


2# a number n minus 3 is greater than or equal to 12


solve for the variable


7# x-7=12


8# y/8=7


9# 10-4x=6x

Answers

1) you can buy 6 candy bars because $5.10 / $0.85 =
6.
To check: 6*0.85=5.10

2) you can find the answer by adding 3 to 12. 3+12=15 n=15 and it said n can be greater than or equal so
N(greater than or equal to sign) 15.
To check: 15-3=12
12=12
16-3>12
13>12

7) x-7=12
+7 +7
X=19
To check: 19-7=12
12=12

8) y/8=7
*8 *8
Y= 56
To check: 56/8=7
7=7

9) 10-4x=6x
+4x +4x
10=10x
/10 /10
X=1
To check: 10-4(1)=6(1)
10-4=6
6=6


Hope this helped!

A survey of professional soccer players found that 306 of the 450 players surveyed began playing soccer before the age of 10. What percent of those surveyed began playing soccer before the age of 10?

Answers

Answer:

A Surveyed began playing soccer before the age of 10 is 68%

Step-by-step explanation:

Given the statement: A survey of professional soccer players found that 306 of the 450 players surveyed began playing soccer before the age of 10.

we have to find the percent of those surveyed began playing soccer before the age of 10.

Total number of soccer player  = 450 players.

Number of player began playing soccer before age of 10 = 306

Percent states that it is a number or ratio expressed as a fraction of 100.

Percent = [tex]\frac{306}{405} \times 100[/tex]

               = 68%.

Therefore, 68% of those surveyed began playing soccer before the age of 10.

Answer:

Number of professional soccer players under consideration in a survey [tex]=450[/tex]

Number of professional soccer players who began playing soccer before the age of 10 [tex]= 306[/tex]

We have to find the percent of those surveyed who began playing soccer before the age of 10.

Therefore, the percentage of those surveyed who began playing soccer before the age of 10 is:

[tex]\frac{306}{450} \times 100[/tex]

[tex]0.68 \times 100[/tex]

[tex]68\%[/tex]

Hence, 68% of those surveyed began playing soccer before the age of 10.


Which key features of the function representing the nail’s travel can be used to determine the amount of time it takes for the nail to reach the same orientation it had when it entered the tire? period minimum maximum amplitude

Answers

Answer:

period

Step-by-step explanation:


Answer:

the answer is A

Step-by-step explanation:


Brad had a small gathering at a local steakhouse. The steakhouse offers three dinner platters which vary by size and price. They ordered 4 of the 6-ounce platters, 2 of the 8-ounce platters, and 2 of the 11-ounce platters. Steak Platter Prices • 6-ounce $9.95 • 8-ounce $12.95 • 11-ounce $15.95 If a gratuity of 18% was added to the bill, which of the following is closest to the total of the steak platters and gratuity, ignoring sales tax?

Answers

Final answer:

To find the total cost of the steak platters and gratuity, we add up the costs of each platter and then calculate the gratuity as a percentage of the total cost. Adding up the costs of the platters, we get $97.60. Then, multiplying the total cost by 18% as a decimal, we find the gratuity to be $17.57. Adding the total cost of the platters and the gratuity, we get a total of $115.17.

Explanation:

To find the total cost of the steak platters and gratuity, we need to calculate the cost of each platter and then add them up. The 6-ounce platter costs $9.95, so 4 of them would cost 4 times $9.95, which is $39.80. The 8-ounce platter costs $12.95, so 2 of them would cost 2 times $12.95, which is $25.90. The 11-ounce platter costs $15.95, so 2 of them would cost 2 times $15.95, which is $31.90. Adding up these costs, we get $39.80 + $25.90 + $31.90 = $97.60.

Next, we need to calculate the gratuity. The gratuity is 18% of the total cost of the steak platters, which is 18% of $97.60. To find the gratuity, we multiply $97.60 by 18% as a decimal, which is 0.18. So, the gratuity is $97.60 * 0.18 = $17.57.

Finally, to find the total cost of the steak platters and gratuity, we add the total cost of the steak platters and the gratuity together: $97.60 + $17.57 = $115.17.

Which equation represents the general form a circle with a center at (–2, –3) and a diameter of 8 units?

Answers

Answer:

(x+2)^2+ (y+3)^2= 16

Step-by-step explanation:

Given

Centre(h,k)=(-2,-3)

h= -2

k= -3

Diameter=8 units

To find radius,

r=diameter/2

r=  8/2

r=4 units

The equation for a circle with center at (h,k) and radius r is:

(x-h)^2+ (y-k)^2= r^2

Putting in the values of h,k and r

(x-(-2))^2+ (y-(-3))^2= (4)^2

(x+2)^2+ (y+3)^2= 16

100 POINT QUESTION, WILL MARK BRAINLIEST IF YOU SOLVE THIS.

Answers

Using the equations provided in the answers.

The correct answer is C:

7! / (7-2)!2! =

7 * 6*5*4*3*2*1  / 5*4*3*2*1 * 2 *2 =

5040 / 240 = 21

Answer:

C. 7C2 = 7!/(7-2)!2! = 21

Step-by-step explanation:

its a Pascal triangle showing the combination series

the coefficient in question, 21 is the 2nd term (1 doesnt count) on the 7th row

so 7C2 = 7!/(7-2)!2! = 21

ans is C

A pair of shoes you want to purchase is on sale for 40% off the original price. If you paid $36 for the shoes, what was the original price?

Answers

Answer:

$50.40

Step-by-step explanation:

you just add 40% to $36


The lengths of two sides of a triangle are 3 inches in 8 inches find the range of possible links for the third side S

Answers

If a, b and c are the lengths of the sides of a triangle then

if a ≤ b ≤ c, then a + b > c.

1. a ≤ 3 ≤ 8 then a + 3 > 8 → a > 8 - 3 → a > 5 FALSE, because a ≤ 3.

2. 3 ≤ a ≤ 8 then 3 + a > 8 → a > 5 therefore  5 < a ≤ 8

3. 3 ≤ 8 ≤ a then 3 + 8 > a → 11 > a → a < 11 therefore 8 ≤ a < 11.

Answer: 5 < a < 11 → S = (5, 11)

I NEED SERIOUS HELP!! SOMEONE PLEASE EXPLAIN THIS TO ME! The function P(t) = 145e-0.092t models a runner’s pulse, P(t), in beats per minute, t minutes after a race, where 0 ≤ t ≤15. Graph the function using a graphing utility. TRACE along the graph and determine after how many minutes the runner’s pulse will be 70 beats per minute. Round to the nearest tenth of a minute. Verify

Answers

Answer:

the runner’s pulse will be 70 beats per minute in 7.9 minutes

Step-by-step explanation:

[tex]P(t) = 145e^{-0.092t}[/tex]

Graph the function using a graphing utility.

Graph is attached below.

P(t) is beats per minute

Given P(t) is 70, so we plug in 70 for P(t) and solve for t

[tex]70= 145e^{-0.092t}[/tex]

Divide both sides by 145

[tex]\frac{70}{145} =e^{-0.092t}[/tex]

Now take ln on both sides

[tex]ln(\frac{70}{145})=ln(e^{-0.092t})[/tex]

[tex]ln(\frac{70}{145})=-0.092t[/tex]

Divide both sides by -0.092

So t≈7.91564

Round to nearest tenth t= 7.9

We can verify it from second graph



Final answer:

To find when the runner's pulse will be 70 beats per minute, you need to set the function P(t) = 145e-0.092t equal to 70 and solve for t. This requires knowledge of natural logarithms and exponent laws.

Explanation:

The question asks us to graph the function P(t) = 145e-0.092t which represents a runner’s pulse, P(t), in beats per minute, t minutes after a race where the restriction for the time t is 0 ≤ t ≤ 15. To determine after how many minutes the runner’s pulse will be 70, we can use the equation P(t) and then set P(t) equal to 70, which will look something like this: 70 =145e-0.092t. Solving this equation will therefore give us the time it takes for the runner's pulse to decrease to 70 beats per minute after a race. Solving this requires knowledge of natural log and exponent laws. The resulting value, rounded to the nearest tenth of a minute, should be the correct answer.

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What is the slope of a line perpendicular to a line with the equation y = 5x - 2 ?

Answers

Answer:

-1/5

Step-by-step explanation:

Perpendicular lines are lines which have a specific relationship. The slopes of the two lines are negative reciprocals of each other. We can find the slope easily in slope-intercept form, y=mx+b.

Since our equation is already in slope intercept form then y=5x-2 has a slope of 5.

The slope of the perpendicular line will be -1/5. This is the negative reciprocal of 5.

Answer:

The answer is A, -1/5!

Help me please 25 points.

Answers

The answer i got is VP<------------->

AKA the first option

i hope this is right  

Answer:

p by itself. B

Step-by-step explanation:

The other three have double arrows over the top of them which indicates you are dealing with lines. P is not very well marked so you could make a case for vp not being a line. But p by itself is just a point.


Football State University $150 for 7 games University of Football $200 for 8 games Gridiron University $175 for 6 games Sports University $125 for 4 games The chart shows the cost of buying season football tickets and how many games are included in the cost. Which university gives the best deal on football tickets? A) Football State University B) University of Football C) Gridiron University D) Sports University

Answers

Answer:

A

Step-by-step explanation:

We can find the cost per game to see which is the lowest. The lowest cost will be the best deal on football tickets.

Football State - $150/7= $21.43

University of Football - $200/8= $25

Gridiron - $175/6= $29.17

Sports - $125/4= $31.25

Football State University is the best deal.

Final answer:

By calculating the cost per game for each university, Football State University appears to provide the best deal since it has the lowest cost per game among the options.

Explanation:

This is a mathematical problem and relates to the concept of unit price in economics. To answer, you must calculate the cost per game for each university, and the one with the lowest cost per game provides the best deal. For Football State University, you'd do $150 divided by 7, resulting to approximately $21.43. University of Football, $200 divided by 8, which equals to $25. Gridiron University, $175 divided by 6 equals approximately $29.17. Lastly, Sports University $125 divided by 4 gives us $31.25. Therefore, according to these calculations,

Football State University

offers the best deal on football tickets since its price per game is the least.

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Logan genetically engineered a new type of fir tree and a new type of pine tree. The combined height of one fir tree and one pine tree is 2121 meters. The height of 44 fir trees stacked on top of each other is 2424 meters taller than one pine tree. How tall are the types of trees that Logan genetically engineered? Each fir tree is meters tall and each pine tree is meters tall.

Answers

Answer:

Fir trees are 9 meters and the pine trees are 12 meters tall.

Step-by-step explanation:

Let the height of the fir tree = x and the height of the pine tree = y (in meters).

It is given that the combined height of both the trees is 21 meters.

That is, [tex]x+y=21[/tex]

Also, the height of 4 fir trees is 24 meters more than that of the pine tree.

That is, [tex]4x=y+24[/tex] i.e. [tex]4x-y=24[/tex]

So, we get the system of equations,

x+y=21

4x-y=24

Adding both the equations, gives us,

5x = 45 i.e. x=  9.

So, x+y=21 ⇒ y= 21 - x ⇒ y= 21 - 9 ⇒ y= 12.

Thus, the fir trees are 9 meters tall and the pine trees are 12 meters tall.

Answer fast please!
Which statement is true regarding the angles in the figure below?

A) Angle D is an exterior angle because it shares a side with the triangle.
B) Angle D is an exterior angle because it is not inside the triangle.
C) Angle D is an exterior angle because it is formed by one side of the triangle and by extending another side of the triangle.
D) Angle D is not an exterior angle.

Answers

answer is c is a exterior angel because
it is formed

Answer:

Option D) Angle D is not an exterior angle.

Step-by-step explanation:

An exterior angle of a triangle is formed between the extended line DF and line DE.

This means Exterior angle of a triangle is supplementary to the interior angle formed on the same line.

So, exterior angle D + ∠ EDF should be equal to  180° [ By definition ]

Therefore, angle D shown in the diagram is not the exterior angle.

Option D is the answer.

Please answer this question for 15 points and brainliest!

Answers

Look at the picture.

[tex]A_1=15\cdot6=90\ cm^2\\\\A_2=5\cdot5=25\ cm^2\\\\A_3=5\cdot4=20\ cm^2\\\\A_4=6\cdot8=48\ cm^2\\\\A_5=15\cdot2=30\ cm^2\\\\A_6=2\cdot2=4\ cm^2\\\\A_7=15\cdot8=120\ cm^2\\\\A_8=15\cdot6=90\ cm^2\\\\S.A.=A_1+2A_2+5A_3+2A_4+2A_5+2A_6+A_7+A_8\\\\S.A.=90+2\cdot25+5\cdot20+2\cdot48+2\cdot30+2\cdot4+120+90\\\\\boxed{S.A.=614}\ cm^2[/tex]

A clothing sells 26 shirts and 22 pairs of jeans. Each item of clothing costs $32. What is a reasonable estimate for the total cost of the clothing? What is the exact answer for the total cost of the clothing?

Answers

Answer:

$1500 is a reasonable estimate.

Exact total cost of the clothing is $1536.

Step-by-step explanation:

We have been given that a clothing sells 26 shirts and 22 pairs of jeans. Each item of clothing costs $32.

First of all, we will find the estimate of price of clothing by rounding to nearest tens as:

[tex]26\approx 30[/tex]

[tex]22\approx 20[/tex]

[tex]\$32\approx \$30[/tex]

Estimated number of clothing would be [tex]30+20=50[/tex]

Estimated cost would be [tex]\$30\times 50=\$1500[/tex]

Therefore, $1500 is a reasonable estimate for the total cost of the clothing.

Let us find exact total number of clothing by adding 26 and 22 as:

[tex]26+22=48[/tex]

Exact total cost of clothing would be [tex]\$32\times 48=\$1536[/tex]

Therefore, the exact total cost of the clothing is $1536.

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