Answer:
EACH TIE COSTS 7.43
Step-by-step explanation:
If 13.35x13=173.55 then that means the ties total is 189.46 now devide that by 22 it equals 13.35
The cost calculation of a tie can be done by subtracting the total cost of the shirts from the total cost. The remainder is then divided by the number of ties bought, resulting in the price of a tie, about $7.43.
Explanation:To find the cost of a tie, we'll first determine the total cost of the shirts and then subtract this from the total spent. Firstly, we need to calculate the total cost of the shirts by multiplying the cost of one shirt by the number of shirts purchased. That is 13 shirts * $15.35/shirt = $199.55.
Next, we subtract the total cost of the shirts from the total spent to find out how much was spent on ties: $363.01 (total spent) - $199.55 (total spent on shirts) = $163.46 (total spent on ties).
Now, to find the cost of one tie, we divide the total spent on ties by the number of ties purchased. That is: $163.46/22 ties = $7.43/tie. Therefore, each tie costs approximately $7.43.
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factor the expression using GCF 16p - 8
Answer:
8(2p-1)
Step-by-step explanation:
To factor the expression, we need to factor the terms
16p = 8*2*p
8 = 8*1
We can factor out an 8, leaving what remains inside the parentheses
16p-8
8(2p-1)
In simplest form
2/5 x 3/7
Answers
A. 14/15
B.5/12
C. 6/35
D. 1/5
9/10x5/7
Answers
A. 1 13/50
B. 9/14
C. 14/17
D.4/7
Jennys lawn is 1/3 of an acre. After mowing 1/2 of the lawn, how much of an acre has she mowed?
Answers
A. 1/5
B. 1/6
C. 1/2
D. 2/5
A leaking bucket is filled to 3/4 capacity. After some time, 1/2 of the water has leaked out. What fraction of the water has leaked out of the bucket?
Answers
A. 1/4
B.2/3
C. 3/8
D. 3/16
Mike plans to run 7/8 mile. He begins running, but 2/3 of the way he pulls a hamstring muscle. What fraction of a mile did he run?
Answers
A. 7/12
B. 14/25
C. 10/11
D. 7/11
Answer:
1. C
2. B
3. B
4. C
5. A
Step-by-step explanation:
1. 2/5 times 3/7 equals 6/35 and cannot be simplified
2. 9/10 times 5/7 equals 45/70 or 9/14
3. 1/3 times 1/2 equals 1/6
4. 3/4 times 1/2 equals 3/8
5. 2/3 of 7/8 equals 7/12
Drag each expression to show whether it is equivalent to 8(t+8),8t +8, or neither
Answer:
Box-1:
Neither
Box-2:
[tex]8(t+8)[/tex]
Box-3:
[tex]8(t+8)[/tex]
Box-4:
[tex]8t+8[/tex]
Box-5:
Neither
Box-6:
[tex]8t+8[/tex]
Step-by-step explanation:
We can verify each box
Box-1:
[tex](8+t)+(8+8)[/tex]
we can simplify it by combining like terms
[tex]=8+t+8+8[/tex]
[tex]=8+t+16[/tex]
[tex]=t+24[/tex]
none of them matches
so, Neither
Box-2:
[tex]8t+64[/tex]
we can write as
[tex]8\times t+8\times 8[/tex]
now, we can factor out 8
[tex]8(t+8)[/tex]
Box-3:
[tex]8\cdot t+8\cdot 8[/tex]
we can factor out 8
[tex]8(t+8)[/tex]
Box-4:
[tex]4t+8+4t[/tex]
we can combine like terms
[tex]4t+4t+8[/tex]
[tex]8t+8[/tex]
Box-5:
[tex]8t+16[/tex]
we can factor common term
[tex]8\times t+8\times 2[/tex]
now, we can factor out 8
[tex]8(t+2)[/tex]
so, we can see that none are matching
so, Neither
Box-6:
[tex]4(2t+2)[/tex]
we can distribute 4
[tex]4\times 2t+4\times 2[/tex]
we can simplify it
[tex]8t+8[/tex]
simple answer
8(t+8):
(8 • t) + (8 • 8)
8t + 64.
8t + 8:
4t + 8 + 4t
4(2t + 2)
Neither:
(8 + t) + (8 + 8)
8t + 16
pls mark brainlist
What are the slope and y-intercept of the graph of y=−13x+1 ? A. slope: −13; y-intercept: 1 B. slope: 13; y-intercept: −1 C. slope: 1; y-intercept: −13 D. slope: 13; y-intercept: 1
Answer:
The correct answer is A) slope: -13 Intercept: 1
Step-by-step explanation:
When you have something in slope-intercept form, the slope is always the coefficient of x, which in this case is -13.
The intercept is always the constant at the end of the equation, which in this case is 1.
Answer:
a)
Step-by-step explanation:
Write the equation in logarithmic form. N^4/3=m. Please show all your steps!!
Answer:
[tex]log_n(m)= \frac{4}{3}[/tex]
Step-by-step explanation:
N^4/3=m
[tex]n^{4/3}=m[/tex]
We need to write the equation in logarithmic form
we take log on both sides
[tex]log(n^{4/3})=log(m)[/tex]
We apply log property to remove the exponent 4/3
As per log property we can move exponent before log
log(a^m) = m log (a)
So our equation becomes
[tex]\frac{4}{3}log(n)=log(m)[/tex]
Now we divide both sides by log(n)
[tex]\frac{4}{3} =\frac{log(m)}{log(n)}[/tex]
Now we apply change of base formula
log(a)/ log(b)= log_b(a)
[tex]\frac{4}{3} =log_n(m)[/tex]
So log form is
[tex]log_n(m)= \frac{4}{3}[/tex]
To convert [tex]N^{4/3}[/tex] = m to logarithmic form, identify the base (N), the exponent (4/3), and the result (m). The logarithmic form is [tex]log_N(m)[/tex] = 4/3.
To convert the given equation [tex]N^{4/3}[/tex] = m into logarithmic form, we'll follow these steps:
Identify the base, which is N in this case.The exponent in the equation is 4/3.The result is m.The general logarithmic form of the equation aᵇ = c is [tex]log_a(c)[/tex] = b.
Applying this to our equation:
The base a is N.The result c is m.The exponent b is 4/3.Hence, the logarithmic form of the equation [tex]N^{4/3}[/tex] = m is:
[tex]log_N(m)[/tex] = 4/3what is the unit rate of 90 miles in 1.7
Answer:
52.94 miles per unit
Step-by-step explanation:
The unit rate is found by dividing miles per time
90 miles /1.7 unit
52.94117647 miles per unit
a man purchased 100 oranges at 800$ and sold each of them at 10$. What is his percentage profit
Answer:25%
Step-by-step explanation:
fomula => percantange profit = Profit/buying price x 100% we find profit by taking money sold for each orange multiplied by total numbers of orangessubtracted my inital buying price of oranges(10 x 100) - 800= 200
200/800 x 100
percantage profit= 25%
Answer:
80%
Step-by-step explanation:
800 ÷ 100 = 8$ → purchased each
8$ to 10$ = 80%
use the distributive property to find the missing numbers 4 x (3 + 7) = (4 x ?) + (4 x ?)
Answer:
4 x (3+7) = (4 x 5) + (4 x 5) => 40= 20+20
Step-by-step explanation:
12+28=>40=(4 x 5) + (4 x 5)
a corn vendor at a farmers market was selling a bag of 8 eara of corn for $2.56. Another vendor was selling a bag of 12 for 4.32. Wuch bag is the better deal?
Answer: The first vendor AKA the 8 ears for $2.56
Step-by-step explanation:
You have to take the 8 and figure out how much you are being charged for each 2.56 divided by 8 is .32, so each ear is .32 cents per ear, and the second vendor is 4.32 divided by 12 which is .36, so each ear is .36 cents. so technically the first vendor has cheaper corn.
The doctor orders2cc of 2% lidocaine to be use as a loca anesthetic how many milliliter s will you draw
one may note that 1 CC, Cubic Centimeter, or 1 cm³, is actually equivalent to 1 mL, milliliter.
so 2 cc = 2 mL.
Answer:
2 mL
Step-by-step explanation:
Here cm³ and mL are units of volume i.e., the three dimensional space enclosed by plane surfaces. m³ is the SI unit of volume. Liter (L) is also an accepted unit where
1 L = 0.001 m³
So 1 ml = 0.001 × 10⁻³ m³
1 mL³ = 10⁻⁶ m³ (1)
1 m³ = 10⁶ cm³
1 cm³ = 10⁻⁶ m³ (2)
From equation 1 and 2
1 mL = 1 cm³
1 mL = 1 cc
2 cc = 2 Cubic centimeter = 2 cm³
1 cc = 1 mL
So,
2 cc = 2 mL
solve the system by the elimination method
Answer:
x=2, y=2
(2,2)
Step-by-step explanation:
To solve by elimination, we need to have on variable an its coefficient be the opposite of the other
I will multiply the second equation by 2 to make 2x become 4x to eliminate the x variable
2(2x+4y) = 12*2
4x+8y = 24
Now add the first equation with the modified second equation
-4x - 2y = -12
4x +8y =24
-------------------
6y = 12
Divide each side by 6
6y/6 = 12/6
y =2
Now we need to find x
2x+4y = 12
Substitute in y=2
2*x + 4*2 = 12
2x+8 = 12
Subtract 8 from each side
2x +8-8 = 12-8
2x=4
Divide each side by 2
2x/2 =4/2
x=2
For three consecutive years, Sam invested some money at the start of the year. The first year, he invested x dollars. The second year, he invested $2,000 less than 5/2 times the amount he invested the first year. The third year, he invested $1,000 more than 1/5 of the amount he invested the first year.
During the same three years, Sally also invested some money at the start of every year. The first year, she invested $1,000 less than 3/2 times the amount Sam invested the first year. The second year, she invested $1,500 less than 2 times the amount Sam invested the first year. The third year, she invested $1,400 more than 1/4 of the amount Sam invested the first year.
If Sam and Sally invested the same total amount at the end of three years, the amount Sam invested the first year is $ ???, and the amount Sally invested the last year is $ ???
Answer:
The first year Sam invested $2,000. The third year sally invested $1,900.
Step-by-step explanation:
Let $x be the amount of money Sam invested the first year. The second year, he invested $2,000 less than 5/2 times the amount he invested the first year, then the second year he invested
[tex]\$\left(\dfrac{5}{2}x-2,000\right).[/tex]
The third year, he invested $1,000 more than 1/5 of the amount he invested the first year, then the third year he invested
[tex]\$\left(\dfrac{1}{5}x+1,000\right).[/tex]
During three years Sam invested
[tex]\$\left(x+\dfrac{5}{2}x-2,000+\dfrac{1}{5}x+1,000\right)=\$\left(\dfrac{37}{10}x-1,000\right).[/tex]
The first year, Sally invested $1,000 less than 3/2 times the amount Sam invested the first year, then the first year she invested
[tex]\$\left(\dfrac{3}{2}x-1,000\right).[/tex]
The second year, she invested $1,500 less than 2 times the amount Sam invested the first year, then the second year she invested
[tex]\$(2x-1,500).[/tex]
The third year, she invested $1,400 more than 1/4 of the amount Sam invested the first year, then the third year she invested
[tex]\$\left(\dfrac{1}{4}x+1,400\right).[/tex]
During three years Sally invested
[tex]\$\left(\dfrac{3}{2}x-1,000+2x-1,500+\dfrac{1}{4}x+1,400\right)=\$\left(\dfrac{15}{4}x-1,100\right).[/tex]
If Sam and Sally invested the same total amount at the end of three years, then
[tex]\dfrac{37}{10}x-1,000=\dfrac{15}{4}x-1,100,\\ \\\dfrac{37}{10}x-\dfrac{15}{4}x=1,000-1,100,\\ \\-\dfrac{1}{20}x=-100,\\ \\x=\$2,000.[/tex]
Thus,
[tex]\$\left(\dfrac{1}{4}\cdot 2,000+1,400\right)=\$1,900.[/tex]
Find the value of y when x = 4 in the equation y - x = 1/3(x + 14) Show your work help
What is the value of f(3) when f(x) =4x+1
Answer: 13
Step-by-step explanation:
f(x) = 4x + 1
f(3) = 4(3) + 1
= 12 + 1
= 13
What is the value of the fifth term?
Answer:
a(5) = 7
Step-by-step explanation:
Look at 5 on the n line, the horizontal line look up to the dot on that line. Whats it value on the vertical line a(n)? 7 so a(5) = 7
Which situation is best represented by the following equation? 40w + 12.50 = 492.50
Answer:
Step-by-step explanation:
She paid $40 each week, hence the "w" next to 40. She then paid $12.50 so both $40w and $12.50 would equal to $492.50. So she paid $492.50 in all for the class.
Now the w would equal, 12. Multiply 40 x 12 and it'd equal 480.
Then you add the additional $12.50 she paid for the registration & it'd equal to $492.50.
Hope That Helps!
To solve for w in the equation 40w + 12.50 = 492.50, subtract 12.50 from both sides of the equation and then divide both sides by 40.
Explanation:To solve for w, we need to isolate it on one side of the equation. We can do this by subtracting 12.50 from both sides of the equation:
40w + 12.50 - 12.50 = 492.50 - 12.50
This simplifies to:
40w = 480
Next, divide both sides of the equation by 40:
w = 480 / 40
w = 12
Therefore, the equation represents a situation where w is equal to 12.
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for his phone service John pays a monthly fee of $13 and he pays an additional $0.06 per minute of use the least he has been charged in a month is $73.96
what are the possible numbers of minutes he has used his phone in a month. Use M for the number of minutes and solve your inequality for M
Answer:
m ≥ 1016
Step-by-step explanation:
13+0.06M≥73.96
0.06M ≥ 60.96
m ≥ 1016
what is 20 multiplied by 3 1/5
Answer:
64
Step-by-step explanation:
20 x 3.2=64
16/5=3.2
replacing the 3 1/5 with 3.2 making it easier to do the math
Answer:
The answer is 64
Step-by-step explanation:
What to do is this.
Turn 3 1/5 into a improper fraction and it will look like this 16/5
Now do 20/1 times 16/5 and you will get 64
Would a horizontal line, a straight slanted line, a curve, or a jagged curve best represent the calories you burn during the day?
Answer:
A jagged curve
Step-by-step explanation:
Your always going to burn calories but the rate will always change and how many based on what you do will always change so it is never a constant slope.
Answer:
a jagged curve
Step-by-step explanation:
The number of calories you burn varies throughout the day, increasing and decreasing. A jagged curve represents increases and decreases over time.
Need help quickly! Must be correct. Thanks!
Because AC lies opposite the angle of the smaller measure than the angle opposite FH. The sides at these angles have the same length.
I need help with this PLEASE SHOW WORK
Answer:
RM ≈ 6.08 ( to 2 dec. places )
Step-by-step explanation:
to calculate the distance use the distance formula
• d = √(x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = R(- 2, 3) and (x₂, y₂ ) = M(4, 2)
d = [tex]\sqrt{(4+2)^2+(2-3)^2}[/tex] = [tex]\sqrt{36+1}[/tex] = [tex]\sqrt{37}[/tex] ≈ 6.08
What are the quotient and remainder of (3x^4-2x^3+7x-4)/(x-3)
Answer: Remainder: 206
Quotient: 3x³+7x²+21x+70 + [tex]\frac{206}{x-6}[/tex]
Step-by-step explanation: You can either use long division or synthetic division. I will use synthetic division: 3 | 3 -2 0 7 -4... the remainder is 206 and the quotient is 3x³+7x²+21x+70 + 206/x-6
The remainder is 206 and the quotient is ([tex]3x^{4} - 2x^{3} + 7x -4[/tex] -206) /(x - 3)
What is quotient in a division?A result obtained by dividing one quantity by another is called a quotient.
What is remainder in a division?Remainder is the value left after the division.
How to find the quotient and remainder of the division?We know that, if (x - h) divides a function f(x) then f(h) is the remainder.∴ Here the remainder will be putting x = 3 in the dividend.
So, remainder = [tex]3(3)^{4} - 2(3)^{3} + 7(3) - 4[/tex] = 206
We can get the quotient by the quotient remainder rule which saysin a division, dividend is equal to divisor multiplied by quotient plus remainder.
Let the quotient be Q(x)
Here, we can write,
[tex]3x^{4} - 2x^{3} + 7x -4[/tex] = (x - 3)Q(x) + 206
⇒ Q(x) = ([tex]3x^{4} - 2x^{3} + 7x -4[/tex] -206) / (x - 3)
So, the required quotient is ([tex]3x^{4} - 2x^{3} + 7x -4[/tex] -206) / (x - 3)
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Jason spent $20.00 for school lunches.if each lunch cost 2.50,how much lunches did he buy
Answer: 8
Step-by-step explanation:
Ginger you has a principal of $900 in her savings account. It earns 6% interest compounded quarterly. What is the amount in the account at the end of the third quarter?
A: $935.67
B: $941.11
C: $945.22
D: $987.33
Answer:
B.$941.11
Hope this helped
Step-by-step explanation:
In geometry vertical angles are congruent, meaning they have the same degree measure. You see these when two straight lines form and X shape. Angles that are opposite one another are called vertical angles. If two of these congruent angles have the same degree measure and angle 1 is (3x+10) degrees and angle 2 is (5x-4) degrees, set the expressions equal to one another and find the degree measure. Hint: Don't just solve for the variable X, you have to solve for degree measure by substitution. Do so in both expressions as a way to check your work. The degree measures should be the same if you solved for the variable correctly
Answer:
The two angles are each 31 degrees.
Step-by-step explanation:
Find x
3x + 10 = 5x - 4 Add 4 to both sides3x + 10 + 4 = 5x - 4 + 43x + 14 = 5x Subtract 3x from both sides.3x - 3x + 14 = 5x -3x14 = 2x Divide by 214/2 = 2x/2 7 = x Switch x = 73x + 10
3*7 + 1021 + 10 315x - 4
5(7) - 4 35 - 431By setting 3x+10 equal to 5x-4, we find x=7. Substituting this value back into the expressions for both angles 1 and 2, we find that both angles measure 31 degrees, confirming that our solution is correct.
Explanation:The question asks you to solve for the degree measure of both angles 1 and 2, which are represented by the expressions (3x+10)° and (5x-4)° respectively. Because these angles are vertical, we know that they are congruent, or equal in measure.
Therefore, we can form an equation by setting the two expressions equal to each other and then solving for x:
(3x+10) = (5x-4)
Subtracting 3x from both sides yields:
10 = 2x - 4
Then, adding 4 to both sides, we get 14 = 2x. Dividing both sides by 2, we find x = 7.
To check our work, we substitute x = 7 into the original equations for both angle 1 and angle 2:
Angle 1: 3(7) + 10 = 31°
Angle 2: 5(7) - 4 = 31°
As you can see, the degree measures are the same, which verifies that we solved for the variable correctly.
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You and three of your friends go out to dinner during the break.the check comes to 131.85$ you all decide to leave a 20% tip for the friendly server calculate the amount of tip
Answer:
$105.48
Step-by-step explanation:
Multiply 131.85 by 0.2 to get 20% of 131.85.
You will get 26.37.
Since it is 4 people, multiply by 4.
You will get $105.48.
Answer: $105.48
Step-by-step explanation: If the check is $131.85, all you have to do is multiply that by .2 and you get $26.37, but since there are four friends you would have to multiply that by 4 to get the result $105.48.
(In terms of pi )what's the surface area of a cylinder with a 14cm diameter and a heigth of 18cm.
ive done the math and got 1099 or something but that isnt one of the options on my assignment.
Answer:
= 1099 cm^2
Step-by-step explanation:
The surface area of a cylinder is found by using the formula
SA=2πrh+2πr^2
We know the diameter. To find the radius, we take the diameter and divide by 2.
r =d/2
r =14 cm/2 = 7 cm
h = 18 cm
Substituting what we know
SA = 2 * pi * 18 * 7 + 2 * pi * (7)^2
= 252 *pi + 2* pi *49
= 252 pi + 98 pi
= 350 * pi
Let pi be approximated by 3.14
SA = 350 * 3.14
= 1099 cm^2
I need help with this one if you answer it right I will follow you promise but first help me
write each fraction as a decimal. Use bar notation if necessary.
1. 5/8
Answer:
5/8=0.625
Step-by-step explanation:
11.REINFORCE The lengths of three sides of a triangle are 2x, 3x - 4, and x+4. Find a value of x that makes the triangle equilateral.
Answer:
x=4
Step-by-step explanation:
It suffices to equate any two sides and then check whether the solution is valid for the third side.
Taking 2x and 3x-4 and equating:
2x = 3x-4
x = 4
This means the sides are both of length 8. Now check whether for x=4 the third side is also of length 8:
x+4=4+4=8
which indeed works out confirming x=4 being a valid solution
Final answer:
To determine a value for x that results in an equilateral triangle with side lengths 2x, 3x - 4, and x + 4, we equate the three expressions and solve for x, finding that x = 4 satisfies the condition of equal side lengths.
Explanation:
To find a value of x that makes the triangle equilateral, we set all three sides equal to each other because an equilateral triangle has all sides of the same length. Given the side lengths as 2x, 3x - 4, and x + 4, we can set up two equations:
2x = 3x - 4
2x = x + 4
Solving the first equation for x gives us:
2x = 3x - 4
x = 4
Solving the second equation for x gives us:
2x = x + 4
x = 4
Both equations yield x = 4 as the solution. Therefore, if x is 4, the lengths of the sides of the triangle will be 8, 8, and 8 respectively, which satisfies the conditions of an equilateral triangle.
Simplify the expression below: − 4 − 5 y + 12 + 15 ( 7 + y )
We must first open the parenthesis. We get 15*7+15y, or 105+15y. We can now add 12 to 105 which would be 117. Now we have -4-5y+117+15y. With this we can move the -4 to 117 which is 113 and the -5y to 15y which is 10y. So we got 113+10y as our answer.
Hope this helps. <3