Three posters cost $9.60. At that rate, how many posters can you buy for $48?

Answers

Answer 1

Answer: 9.60 divided by 3 gives you 3.20 so the posters are $3.20 each.
48 divided by 3.20 equals 15.
You can purchase 15 posters with $48.

Answer 2

Answer:

Final answer:

To find out how many posters you can buy for $48 given that three posters cost $9.60, you can set up a proportion and solve for x.

Explanation:

To find out how many posters you can buy for $48 given that three posters cost $9.60, you can set up a proportion.

First, find the price per poster: $9.60 ÷ 3 = $3.20 per poster.

Next, set up the proportion: $3.20 is to 1 poster as $48 is to x posters.

Cross multiply: $3.20x = $48.

Divide both sides by $3.20 to solve for x: x = 15.

Therefore, you can buy 15 posters for $48 at that rate.

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I need help with finding the answer of 21 laps in 7 minutes

Answers

I'm not sure if that's what you mean, but I assume you might want to know how long did it take to make one lap if someone did 21 laps in 7 minutes.

If so, just divide 7 by 21:

7 ÷ 21 = 0.3333333... (repeating decimal) or 1/3 as a fraction.

It means that one lap took 1/3 of a minute (20 seconds).

If that's not what you meant, please specify the question :)

What is the simplified form of the expression 3[14/(4^2 - 3^2) - 5]

a. -9
b. 27
c. 21
d. 6

Answers

ANSWER

A.
$- 9$

EXPLANATION

The given expression is

$3( \frac{14}{ {4}^(2) - {3}^(2) } - 5)$

Recall that,

${a}^(2) - {b}^(2) = (a - b)(a + b)$

We apply the difference of two squares formula to factor the numerator to obtain,

$= 3( (14)/( (4 - 3)(4 + 3) ) - 5)$
We simplify the factors in the denominator to get,

$= 3( (14)/( (1)(7) ) - 5)$
Let us cancel out the common factors now to get,

$= 3( 2 - 5)$

This will give us,

$= 3( - 3) = - 9$

The correct answer is A.

I`m not sure of the answer but if you look up Math Way it might be able to help.

Find the y-intercept of f(x)=2x^2-2x+1

Answers

The y-intercept of the function f(x) = 2x^2 - 2x + 1 is (y = 1), as determined by substituting (x = 0) into the function, resulting in (f(0) = 1). This point represents the value of the function when it intersects the y-axis.

To find the y-intercept of the quadratic function f(x) = 2x^2 - 2x + 1, we need to determine the value of f(x) when x is equal to 0. The y-intercept occurs when x = 0 because it represents the point where the graph of the function intersects the y-axis.
So, substitute x = 0 into the function:
f(0) = 2(0)^2 - 2(0) + 1
f(0) = 0 - 0 + 1
f(0) = 1
Therefore, when x = 0, the value of the function f(x) is 1. This is the y-coordinate of the y-intercept. The point representing the y-intercept is (0, 1).
So, the y-intercept of the function f(x) = 2x^2 - 2x + 1 is 1. This means that the graph of the function intersects the y-axis at the point (0, 1).

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Answer:

Step-by-step explanation:

Maria works 24.5 hours each week at a bookstore . she earns 8.76 per hour . How much does she earn each week

Answers

Since Maria works 24.5 hours a week and 8.76 per hour, you find the total amount by multiplying 24.5 (hours) by 8.76 (amount per hour)

That gets you $214.62.

She earns 24.5 x 8.76 = 214.62

Write an equation for the situation.Jolene bought three blouses at one price and 2
Blouses priced $3 below the oothers. The total
Cost was $91.50 . Find the price of the blouses

Answers

The cost of the three blouses will be $28.5 while the total cost is $91.50.

How to form an equation?

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

In other words, an equation is a set of variables that are constrained through a situation or case.

Let's say the cost of the first three blouses is x dollars.

Then.

Total cost = 3x + 2(3)

3x + 6 = 91.50

3x = 85.5

x = 28.5

Hence "The cost of the three blouses will be $28.5 while the total cost is $91.50".

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Here is the answer:
Let x equal the price of 1 regular priced shirt
3x+(2(x-3))=91.50

Write 3.48 repeating as a fraction and write 1.07 repeating as a fraction

Answers

For the number 3.48 we have:

We multiply and divide the number by 100:

$3.48 * ((100)/(100)) =(348)/(100)$

We simplify the fraction obtained.

$(348)/(100) =(87)/(25)$

Answer:

3.48 repeating as a fraction is:

$3.48 = (87)/(25)$

For the number 1.07 we have:

We multiply and divide the number by 100:

$1.07 * ((100)/(100)) =(107)/(100)$

The fraction obtained can not be simplified because we do not have multiples of the numerator and denominator equal.

Answer:

1.07 repeating as a fraction is:

$1.07 = (107)/(100)$

$x=3.\overline{48}\n100x=348.\overline{48}\n100x-x=348.\overline{48}-3.\overline{48}\n99x=345\nx=(345)/(99)=(115)/(33)\n\nx=1.\overline{07}\n100x=107.\overline{07}\n100x-x=107.\overline{07}-1.\overline{07}\n99x=106\nx=(106)/(99)$

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