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3 years ago

Which of the following statements are true?

Mathematics

1 answer:

olchik [2.2K]3 years ago

4 0

Answer:

A. C.

Step-by-step explanation:

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Factor 60x−84x using the gcf

ozzi

-24x
thatll be the answer for gcf

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3 years ago

The length of a rectangle is three inches more than the width. the area of the rectangle is 180 inches. find the width of the re

ch4aika [34]

We have a rectangle with length L that is 3 inches more than the width W. Then we can write this as:

$L=W+3$

The area of the rectangle is 180 square inches.

We have to find the width W.

As the area is equal to the product of the length and the width, we can write this equation and solve for W as:

$\begin{gathered} A=180 \\ L\cdot W=180 \\ (W+3)\cdot W=180 \\ W^2+3W=180 \\ W^2+3W-180=0 \end{gathered}$

We have a quadratic equation. The roots of this equation will be the mathematical solutions.

We can find the roots using the quadratic formula:

$\begin{gathered} W=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a} \\ W=\frac{-3\pm\sqrt[]{3^2-4\cdot1\cdot(-180)}}{2\cdot1} \\ W=\frac{-3\pm\sqrt[]{9+720}}{2} \\ W=\frac{-3\pm\sqrt[]{729}}{2} \\ W=\frac{-3\pm27}{2} \\ W_1=\frac{-3-27}{2}=-\frac{30}{2}=-15 \\ W_2=\frac{-3+27}{2}=\frac{24}{2}=12 \end{gathered}$

The solutions are W = -15 and W = 12.

The first one is not valid, as W has to be greater than 0.

Then, the solution to our problem is W = 12 in.

Answer: the width is W = 12 inches.

6 0

1 year ago

A collector has 100 movie posters and 80 band posters. She wants to sell 30 movie posters but still have her poster collection m

umka2103 [35]

Answer: 24 band posters should be sold

Step-by-step explanation:

First take the expression down to its simplest form;

= 5:4

Assume she sells 30 movie posters, her movies posters drop to;

= 100 - 30

= 70 movie posters

We need a number of band posters remaining that will give a ratio of 5:4 with movie posters.

In fraction form, the number of movie posters is;

= 5/9 because 9 would be the total number of both movie posters and band posters.

Create an expression to find the total number of posters if 70 are movie posters;

5/9x = 70

x = 70 ÷ 5/9

x = 126 posters

Number of band posters that should be left are;

= 126 - 70

= 56

Number of band posters that should be sold;

= 80 - 56

= 24 posters

<em>The new ratio would be 70:56.</em>

5 0

3 years ago

Which of the following shows 9x^2y - 4x + 3y^3x - 2y^2 written in standard form? A. 9x2y - 4x + 3y3x - 2y2 B. 3y3x - 2y2 + 9x2y

nlexa [21]

D. $3 y^{3}x+9 x^{2} y-2 y^{2} -4x$

Take each term and find the degree of the term and then put them in order from highest to lowest:
$y^{3}x=3+1=4$
$x^{2} y=2+1=3$
$y^{2}=2$
x=1

Remember a letter without an exponent is assumed to be a 1.

Hope that helps.

6 0

3 years ago

Natalie can bike 10 kilometers per hour faster than Aaron. By the time

V125BC [204]

The speed is 99 kilometers. U welcome

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3 years ago