Answer:
B. 7/18
Step-by-step explanation:
(-1/6)/(-3/7)
= -1/6 * -7/3
= -1*-7/6*3
= 7/18
(pls give brainliest)
For this case we must find the quotient of the following expression:
[tex]\frac {\frac {-1} {6}} {\frac {-3} {7}} =[/tex]
Applying double C we have:
[tex]\frac {-1 * 7} {6 * -3} =[/tex]
We have by law of signs of multiplication that:
[tex]- * + = -[/tex]
So:
[tex]\frac {-7} {- 18} =\\\frac {7} {18}[/tex]
Answer:
Option B
HELP ASAP PLZ MARKIN BRAINIEST!!!!
Answer:
Step-by-step explanation:
In the equation given, y = 51.20x + 32.96, x is the number of hours worked. The number of hours worked is multiplied by the rate the plumber charges per hour. So the choice in the left hand column is "the amount the charges increase for each additional hour off work". In other words, if he works only 1 hour, x = 1, then the charge for his labor is 51.20(1) = 51.20. If he works 2 hours, the charge for his labor is 51.20(2) = 102.40.
The 32.96 is fixed as the average cost of the parts. The choice in the right-hand column is "average cost of parts for each visit".
PLEASE HELP! The students at Jefferson Middle School are raising money for a charity by selling T-shirts and hats. The number of T-shirts sold was 3 times the number of hats. The profit was $5 for each T-shirt sold and $2.50 for each hat sold. The students raised $840 for the charity. They used the system below to analyze their success and found the solution to be (144, 48).
5x+2.50y=840
x=3y
How much did they earn from T-shirt sales?
They earned $128 from the T-shirts.
They earned $144 from the T-shirts.
They earned $360 from the T-shirts.
They earned $720 from the T-shirts.
Answer: They earned $720 from the T-shirts.
Step-by-step explanation:
Given : The number of T-shirts sold was 3 times the number of hats.
The profit was $5 for each T-shirt sold and $2.50 for each hat sold.
The students raised $840 for the charity.
Let x denotes the number of T-shirts sold and y denotes the number of hats sold.
then, we will have the given system :-
[tex]5x+2.50y=840\\x=3y[/tex]
It is also given that they used the system below to analyze their success and found the solution to be (144, 48).
It means x= 144
It means the number of t-shirt sold = 144
The amount they earn from t-shirt = [tex]144\times5=\$720[/tex]
Hence, they earn $720 from the T-shirts.
Answer:
this is just proof of verification if you don't believe the guy above me
Step-by-step explanation:
Josephine earned a 15% return on her investments last year. If the inflation rate that year was 4%, what is her real rate of return?
A. 4%
B. 11%
C.15%
D.19%
Answer:
B. 11%
Step-by-step explanation:
Using the formula
Real rate of return = nominal rate - inflation rate
Note that the nominal rate of a business is the return on investment in a particular year.
Therefore if Josephine earned a 15% return on her investments last year, her nominal rate is also 15%
Since the inflation rate is 4%
Rate of return = 15%-4%
Rate of return = 11%
The rectangle has one side 8 cm and a diagonal that is 4 cm longer than the unknown side. Write an equation to solve for the missing side. What is the length of the diagonal?
Answer:
Step-by-step explanation:
you will have to divide them then you will be able to find the missing side
What are the minimum, first quartile, median, third quartile and maximum of the data set 3,5,7,8,12,13,14,18,21
Answer:
3, 7, 12, 14, 21
Step-by-step explanation:
3 is the minimum value of the data set.
The median is 12. (it is in the middle of 3 and 12 if you look at the question)
The first quartile is 7 (if you count, it is equidistant from either end)
the third quartile is 14. (it is in the middle of 12 and 21 if you look at the question)
21 is the maximum value of the data set.
Answer: 3 is minimum, 7 is first quartile, 12 is median, 14 is third quartile, and 21 is maximum.
Grace is a 70-year old woman who paid the utility bill online for the first time. She called her bank's customer service center to make sure she had done the transaction successfully. But the voice recording repeatedly played a message that all representatives were busy, which irked Grace. Which factor would make Grace not recommend the bank to others?
A.
absence of technology
B.
lack of accessibility
C.
lack of financial products
D.
poor reputation
Answer:
D. poor reputation
Step-by-step explanation:
Choose an equivalent system of equations to the following system:
Fx + Gy = H
Qx + Ry = S
A.6Fx + Gy = 6H
Qx + 6Ry = S
B.6Fx + 6Gy = 6H
Qx + Ry = S
C.Fx + 6Gy = 6H
Qx + Ry = S
D.6Fx + 6Gy = 6H
Qx − Ry = S
Answer:
B. 6Fx + 6Gy = 6H
Qx + Ry = S
Step-by-step explanation:
Equivalent equations can be created many ways. One of the simplest is to multiply both sides of the equation by the same number. In the answer above, the first equation has been multiplied by 6. Nothing has been done to the second equation.
_____
Comments on other choices
A: some terms have been multiplied by 6. This changes the equation(s) so they are no longer equivalent to the ones you started with.
B: the correct choice
C: see A.
D: the first equation has been multiplied by 6, so that is equivalent to the original. The second equation has the sign of one of the terms changed, so it is now a different equation.
Answer: B. 6Fx + 6Gy = 6H
Qx + Ry = S
Solve the equation by graphing.
m^2 + 2m =3
Answer:
Step-by-step explanation:
The point A (3, 4) is reflected over the line x = 2, and then is reflected over the line x = -4. What are the coordinates of A'? (1, 2) (9, 4) (-9, 4) (1, 4)
Answer:
The coordinates of A' are (-9,4)
Step-by-step explanation:
we know that
Each point of the original figure and its image are the same distance away from the line of reflection
so
step 1
reflected the point A(3,4) over the line x=2
The distance of the point to the line of reflection is 3-2=1 units
therefore
The coordinate of the reflected point is (2-1,4) ----> (1,4)
step 2
reflected the point (1,4) over the line x=-4
The distance of the point to the line of reflection is 1-(-4)=5 units
therefore
The coordinate of the reflected point is (-4-5,4) ----> (-9,4)
Answer: is c (-9,4) the guy had it right but wrong letter
Step-by-step explanation:
Which of the following parabolas opens down?
ANSWER
The correct answer is C.
EXPLANATION
The directrix of the parabolas are parallel to the x-axis. This means that, the orientation of the parabola is parallel to the y-axis. We compare the focus and the directrix to determine whether the parabola opens downwards or upwards.If the directrix is above the focus, then the parabola opens downwards.On the other hand if the directrix is below the focus , then the parabola must open upwards.If you look at option C, y=-2 isthe directrix. The focus is (3,-5). Since the the y-value of the focus , -5 is less than y=-2 which is the directrix, this parabola must open down.The correct answer is C.
A toy factor paints all of its rubber balls with 2 coats of of latex for durability. How many square centimeters of latex are needed to cover a rubber ball with a circumference of 16π cm?
Answer:
1 coat: 256π cm² ≈ 804.25 cm²2 coats: 512π cm² ≈ 1608.50 cm² (rounds to 1608 cm²)Step-by-step explanation:
The radius of the ball is ...
r = C/(2π) = (16π cm)/(2π) = 8 cm
The formula for the area of a sphere is ...
A = 4πr²
Filling in the value of the radius, we find the area of the ball to be ...
A = 4π(8 cm)² = 256π cm² ≈ 804.25 cm²
Then 256π or 804.25 is the number of square centimeters needed to cover the given ball with one coat of latex.
If the ball is only considered to be covered when it has two coats of latex, then twice that amount, 512π or 1608.50 square centimeters of latex are required.
The amount of latex needed to cover a rubber ball with two coats, when the circumference of the ball is 16π cm, is 512π cm².
Explanation:To calculate the amount of latex needed to paint a rubber ball, we first need to calculate the surface area of the ball. The formula for the surface area of a sphere is 4πr², where r is the radius of the sphere. Given that the circumference of the sphere (rubber ball) is 16π cm, we can substitute this into the formula 2πr to find the radius, which equals 8 cm.
Substituting the radius into the surface area formula, we get 4π(8 cm)² = 4π(64 cm²) = 256π cm². This is the surface area for one layer of latex. But as the toy factory paints their balls with two coats of latex, we need to double this surface area, which gives us 512π cm² as the total area to be covered with latex.
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Select the correct answer. A company employs 48 people in various departments. The average annual salary of each employee is $25,000 with a maximum variance of $3,000. What is the range of the total salary that the company pays to its employees annually? A. $1,056,000 ≤ x ≤ $1,344,000 B. $264,000 ≤ x ≤ $336,000 C. $88,000 ≤ x ≤ $112,000 D. $22,000 ≤ x ≤ $28,000
Answer:
A. $1,056,000 ≤ x ≤ $1,344,000
Step-by-step explanation:
The average annual salary of each of the 48 employees is given as;
$25,000
The total salary that the company pays to its employees annually is thus;
$25,000 * 48 = $1,200,000
Now, the total annual maximum variance of the employees salaries would be;
$3,000 * 48 = $144,000
The lower limit of the total salary that the company pays to its employees annually is calculated as;
$1,200,000 - $144,000 = $1056000
The upper limit of the total salary that the company pays to its employees annually is calculated as;
$1,200,000 + $144,000 = $1344000
Therefore, the range of the total salary that the company pays to its employees annually is;
$1,056,000 ≤ x ≤ $1,344,000
The total annual salary range for a company with 48 employees, where each earns an average of $25,000 with a maximum variance of $3,000, is calculated by multiplying the number of employees by the minimum and maximum salaries. The range is from $1,056,000 to $1,344,000 (Option A).
Explanation:The goal is to find the range of the total annual salary that the company pays to its employees. The average annual salary for each of the 48 employees is $25,000, with a possible variance of $3,000 either way. This means that the lowest possible salary could be $22,000 ($25,000 - $3,000) and the highest possible salary could be $28,000 ($25,000 + $3,000).
To find the range of the total salary that the company pays annually, we multiply the number of employees by the minimum and maximum possible salaries.
Multiply the number of employees (48) by the minimum possible salary ($22,000) to get the minimum total salary.Therefore, the range of the total salary that the company pays to its employees annually is from $1,056,000 to $1,344,000. The correct answer to the question is A. $1,056,000 ≤ x ≤ $1,344,000.
The ratio of a to b is 2 to 3, where a and b are positive. If x equals a increased by 50% of a and y equals b decreased by 50% of b, what is the value of x/y?
Answer:
3/1.5
x=3
y=1.5
x÷y= 2
I hope this helps. Question was worded odd.
If x equals a increased by 50% of a and y equals b decreased by 50% of b, the value of x/y is:
[tex]\frac{x}{y} =2[/tex]
Concept of Ratio
The ratio of a to b is 2 to 3
This can be written as:
[tex]a:b=2:3[/tex]
This can also be re-written as:
[tex]\frac{a}{b}=\frac{2}{3}[/tex]
x equals a increased by 50% of a
x = 1.5a
x = 1.5(2)
x = 3
y equals b decreased by 50% of b
y = 0.5b
y = 0.5(3)
y = 1.5
Therefore, the ratio x/y will be:
[tex]\frac{x}{y} =\frac{3}{1.5} \\\\\\\frac{x}{y} =2[/tex]
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The revenue each season from tickets at the theme part is represented by t(x) = 3x. The cost to pay the employees each season is represented by r(x) = (1.25)x. Examine the graph of the combined function for total profit and estimate the profit after five seasons.
Answer:
240
Step-by-step explanation:
Profit = revenue - cost
p(x) = 3^x - 1.25^x
5 seasons would be x = 5
p(5) = 3^5-1.25^5
p(5) = 239.948
It would be around 240
Answer: The profit after 5 seasons is $239.94.
Step-by-step explanation:
Since we have given that
Revenue function is given by
[tex]t(x)=3^x[/tex]
Cost function is given by
[tex]r(x)=1.25^x[/tex]
So, We need to find the total profit:
As we know the formula for profit:
Profit = Revenue - Cost
[tex]P(x)=t(x)-r(x)\\\\P(x)=3^x-1.25^x[/tex]
We need to evaluate the profit after five seasons:
[tex]P(5)=3^5-1.25^5\\\\P(5)=\$239.94[/tex]
Hence, the profit after 5 seasons is $239.94.
PLS HELP SHOW ALL YOUR WORKING OUT AND BRAINLIEST WILL BE AWARDED
Answer:
5.97 cm to 3 significant figures.
Step-by-step explanation:
The diameter of the circle will be equal to the length of the diagonal of the square.
Area = 56 = πr^2
r^2 = 56 / π
r = √(56 / π) = 4.222 cm
So the diameter = 8.444 cm.
This is = diagonal of the square so, by The Pythagoras Theorem:
x^2 + x^2 = 8.444^2 where x is the side of the square.
x^2 = (8.444)^2 / 2
x^2 = 35.651
x = 5.971 cm
Trace a pattern block divided into two equal parts and write a unit fraction to describe the area of each part
Answer:
1/2
Step-by-step explanation:
The unit fraction for an area (or anything, for that matter) divided into n equal parts is 1/n. For 2 equal parts, it is 1/2.
find the solution of this system of equations -7x+y=-20 9x-3y=36
Final answer:
To find the solution of the system of equations -7x+y=-20 and 9x-3y=36, we can use the method of substitution. The solution is x = 2 and y = 6.
Explanation:
To find the solution of the system of equations -7x+y=-20 and 9x-3y=36, we can use the method of substitution or elimination. Let's use the method of substitution:
Step 1: Solve one equation for one variable in terms of the other variable. From the first equation, we have y = 7x - 20.
Step 2: Substitute this expression for y in the second equation. Substitute the value of y from Step 1 into the second equation: 9x - 3(7x - 20) = 36.
Step 3: Simplify and solve for x. Distribute the -3 to both terms inside the parentheses: 9x - 21x + 60 = 36.
Step 4: Combine like terms: -12x + 60 = 36.
Step 5: Subtract 60 from both sides of the equation: -12x = -24.
Step 6: Divide both sides of the equation by -12: x = 2.
Step 7: Substitute the value of x back into one of the original equations to find y. Using the first equation, we have -7(2) + y = -20. Simplifying, we get y = 6.
Therefore, the solution to the system of equations is x = 2 and y = 6.
a box without a top is made from a rectangular piece of cardboard with dimensions 12 cm by 10 cm, by cutting out square corners with side length x.
what x-value gives the greatest volume?
use technology to estimate your answer to the nearest tenth.
Answer:
x ≈ 1.8 cm gives the greatest volume
Step-by-step explanation:
After cutting x cm from each corner in each direction, the cardboard can be folded up to make a box that is x cm deep and (12 -2x) by (10 -2x) in length and width. Clearly, values of x are limited to 5 or less, since cutting 5 cm from each side would leave a width of zero. Then the volume is given by ...
V = x(12 -2x)(10 -2x)
The plot below shows the value of this cubic equation for volume, and identifies the peak as (x, V) ≈ (1.8, 96.8). That is, a cut of 1.8 cm will result in a box of approximate volume 96.8 cm³.
*The sum of two numbers is 400. If the first number is decreased by 20% and the second number is decreased by 15%, then the sum would be 68 less. Find the numbers after the decrease.
Answer:
The two numbers are .8*160=128 and .85*240=204
Step-by-step explanation:
First sentence: x+y=400
Second sentence .8x+.85y=400-68
Solve y in the first sentence: y=400-x
Plug first into second: .8x+.85(400-x)=332
Distribute: .8x+.85(400)-.85x=332
Combine like terms: -.05x+.85(400)=332
Simplify(multiply): -.05x+ 340=332
Subtract 340 on both sides: -.05x =332-340
Simplify(subtract): -.05x =-8
Divide both sides by -.05: x =-8/-.05
Simplify (division): x = 160
So y=400-x=400-160=240
Answer:
128 and 204. your welcome.
Step-by-step explanation:
Let x = the first number
Let y = the second number
So we can set up two equations:
x+y = 400
.8x + .85y = 400-68
Use substitution:
y = 400 - x
.8x + (.85)*(400-x) = 332
.8x + 340 -.85x = 332
8 = .05x
x = 160
So that makes y = 240
We want the decreased values so:
160*.8 = 128
240*.85 = 204
So the answers are 128 and 204
HELP ME PLEASE ITS IMPORTANT !!!
Marge runs an ice cream parlor. Her speciality is triple chocolate sundaes.She can prepare 1 sundae every 2 minutes, and she earns $1.20 for each sundae she makes . If she just makes sundaes for a single shift of at most 4 hours and at least 2 hours , which function relates her earnings to the number of minutes she works?
Answer:
4 hours = 4(60)=240min
2 hours = 2(60)=120min
120<=x<=240
f(x)=1.20||x/2||
So your answer is :
F(X)=1.20||x/2||, if 120<= x<= 240
What is the quotient of (4x2 − 15x + 9) ÷ (x − 3)?
Answer:
The quotient is 4x- 3.
Step-by-step explanation:
Use the image below and find x and y so that the quadrilateral is a parallelogram.
∠A=54, ∠B=12x+6, ∠C=6x+66, and ∠D=3y
Answer:
(x, y) = (10, 18)
Step-by-step explanation:
In a parallelogram, adjacent angles are supplementary, and opposite angles are congruent.
∠A = ∠D
54 = 3y
18 = y . . . . . divide by 3
___
∠B = ∠C
12x +6 = 6x +66
6x = 60 . . . . . . . . . subtract 6x+6
x = 10 . . . . . divide by 6
The values of x and y are 10 and 18, respectively.
A hat is marked down 45% and its new price is $69. What was the original price rounded to the nearest cent?
The original price rounded to the nearest cent was; $106.95
What is the fundamental principle of multiplication?Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.
We are given that hat is marked down 45% and its new price is $69.
45% = 0.45
Therefore, we have;
1.00 - 0.45 = 0.55
$69 x 0.55 = 37.95
Then the original price rounded to the nearest cent was;
$69 + 37.95 = $106.95
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Final answer:
To calculate the original price of the hat before a 45% discount resulted in a new price of $69, divide the new price by 0.55. This calculation gives an original price of approximately $125.45, which is the price before the markdown rounded to the nearest cent.
Explanation:
To determine the original price of the hat before the markdown, we start with the new price which is after a 45% reduction. Since 100% - 45% is 55%, the new price represents 55% of the original price. We use the equation new price = (original price) x (percentage after discount) to solve for the original price.
So we have $69 = (original price) x 0.55. To find the original price, we divide the new price by 0.55:
Original price = $69 / 0.55
Calculating this gives us an original price of approximately $125.45. However, we need to round to the nearest cent resulting in $125.45 as the original price of the hat.
PLEASE HELP ME ASAP WITH STEPS 27 POINTS AND BRAINLIEST! The area of a rectangle is given by the expression 8x 3 − 2x 2 − 11x + 15. If the width of the rectangle is 2x + 3, what is the expression that represents the length of the rectangle?
To find the length, divide the area by the width.
See the attached picture:
A paper company needs to ship paper to a large printing business. The paper will be shipped in small boxes and large boxes. Each small box of paper weighs 45 pounds and each large box of paper weighs 70 pounds. There were 6 more small boxes shipped than large boxes and the total weight of all boxes was 1305 pounds. Determine the number of small boxes shipped and the number of large boxes shipped.
Step-by-step explanation:
Let's say S is the number of small boxes and L is the number of large boxes.
There were 6 more small boxes than large boxes, so:
S = L + 6
Each small box weighs 45 pounds, and each large box weighs 70 pounds. The total weight was 1305 pounds, so:
45S + 70L = 1305
We can now solve the system of equations. Using substitution:
45(L + 6) + 70L = 1305
45L + 270 + 70L = 1305
115L = 1035
L = 9
S = 9 + 6
S = 15
There are 15 small boxes and 9 large boxes.
We are required to determine the number of small boxes shipped and the number of large boxes shipped.
let
x = number of small boxes shipped
y = number of large boxes shipped
Weight of small boxes = 45 pounds
Weight of large boxes = 70 pounds
Total weight of boxes = 1305 pounds
There were 6 more small boxes shipped than large boxes
x = y + 6 (1)
x = y + 6 (1)45x + 70y = 1305 (2)
substitute x = y + 6 into (2)
45x + 70y = 1305
45(y + 6) + 70y = 1305
45y + 270 + 70y = 1305
45y + 70y = 1305 - 270
115y = 1035
divide both sides by 115
y = 1035 / 115
y = 9
Recall,
x = y + 6
x = 9 + 6
x = 15
Therefore,
the number of small boxes shipped is 15 and the number of large boxes shipped is 9
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2 _
3 --- + 2.3=
3
giving 25 points for the right answer asap
[tex]
3 \frac{2}{3} + 2.3 \\
\implies 3 \frac{2}{3} + \frac{23}{10} \\
\implies \frac{11}{3} + \frac{23}{10} \\
\implies \frac{110+69}{30}
\implies \frac{179}{30}[/tex]
For this case we must indicate the value of the following expression:
[tex]3 \frac {2} {3} +2.3[/tex]
We have the following mixed number:
[tex]3 \frac {2} {3} = \frac {3 * 3 + 2} {3} = \frac {9 + 2} {3} = \frac {11} {3} = 3.6667[/tex]
So, we have:
[tex]\frac {11} {3} + \frac {23} {10} = \frac {10 * 11 + 3 * 23} {30} = \frac {110 + 69} {30} = \frac {179} { 30}[/tex]
In mixed number we have:
[tex]5 \frac {29} {30}[/tex]
ANswer:
[tex]5 \frac {29} {30}[/tex]
Maleek rested a 15.5-foot ladder against a building. The base of the ladder is 8.2 feet from the building. How far up the building does the ladder reach?
To the nearest tenth of a foot, about how far up the building does the ladder reach?
Here is the set up:
Use a^2 + b^2 = c^2
Let c = length of ladder
Let b = distance of ladder's base from the building.
We must find a.
(a)^2 + (8.2)^2 = (15.5)^2
a^2 = (15.5)^2 - (8.2)^2
a^2 = 173.01
Take the square root on both sides.
sqrt{a^2} = sqrt{173.01}
a = 13.1533265754
We now round off to the nearest tenth of a foot.
a = 13.2 feet
Did you follow?
The distance between the point of the base of the building to the point where the ladder touches it for this case is 13.14 ft approx.
What is Pythagoras Theorem?If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:
[tex]|AC|^2 = |AB|^2 + |BC|^2[/tex]
where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).
Consider the diagram attached below.
We've got:
|AC| = length of the ladder = 15.5 ft|BC| = distance of base of ladder from the base of building = 8.2 ft|AB| = length we needUsually buildings are vertical, so perpendicular to the ground.
Therefore, we can take ABC a right angled triangle, and therefore, use Pythagoras theorem here:
[tex]|AC|^2 = |AB|^2 + |BC|^2\\\\15.5^2 = |AB|^2 + 8.2^2\\|AB|^2= 240 - 67.24\\\\|AB| = \sqrt{172.76} \approx 13.14 \: \rm ft[/tex]
(took only positive root as length cannot be negative).
Thus, the distance between the point of the base of the building to the point where the ladder touches it for this case is 13.14 ft approx.
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Need help with a math question PLEASE HELP
Answer:
(-1, -3)
Step-by-step explanation:
We suppose your notation means you want to reflect given point P across the horizontal line y=1.
The x-coordinate will remain the same.
The new y-coordinate will be such that y=1 is the midpoint between the original and its reflection:
(5 + y)/2 = 1
5 + y = 2 . . . . multiply by 2
y = 2 -5 = -3 . . . subtract 5
The reflected point is (-1, -3).
___
The same sort of math applies whenever you have a midpoint and want to find the other end point. Double the midpoint value and subtract the end point you have in order to find the other end point.
The average house in a neighborhood measures 55 ft by 35 ft by 20 ft tall. What is the total outside surface area?
[tex]\bf \textit{surface area of a rectangular prism}\\\\ SA=2(Lh+Lw+wh)~~ \begin{cases} L=length\\ w=width\\ h=height\\ \cline{1-1} L=55\\ w=35\\ h=20 \end{cases} \\\\\\ SA=2[(55\cdot 20)+(55\cdot 35)+(35\cdot 20)]\implies SA=2[1100+1925+700] \\\\\\ SA=2(3725)\implies SA=7450[/tex]
Simplify (x^4y)^3.
A. x4y3
B. x7y3
C. x12y3
Answer:
The answer is C.
Step-by-step explanation:
[tex]{( {x}^{4} y)}^{3} = {x}^{4 \times 3} {y}^{3} = {x}^{12} {y}^{3} [/tex]