All categories

3 years ago

Which expressions are equivalent to 7 (negative three-fourths x minus 3)? Select two options.

Mathematics

2 answers:

polet [3.4K]3 years ago

7 0

The equivalent expressions are:

$7(-\frac{3}{4}x - 3) = (7 \times \frac{-3}{4}x) + (7 \times -3)\\\\7(-\frac{3}{4}x - 3) = \frac{-21x}{4} - 21$

Solution:

Given expression is:

$7(-\frac{3}{4}x - 3)$

We have to find the equivalent expressions

By distributive property,

a(b + c) = ab + ac

Therefore,

$7(-\frac{3}{4}x - 3) = (7 \times \frac{-3}{4}x) + (7 \times -3)\\\\7(-\frac{3}{4}x - 3) = \frac{-21x}{4} - 21$

Thus equivalent expressions are found

Elan Coil [88]3 years ago

7 0

Answer:

Im pretty sure its a and e

Step-by-step explanation:

lmk if im wrong or right

You might be interested in

It takes 2 minutes to fill a rectangular aquarium 8 inches long, 9 inches wide, 13 inches tall. How long will it take the same h

spin [16.1K]

Answer:

46.74 minutes

4 0

3 years ago

suppose a stock is selling on a stock exchange for 4 3/4 dollars per share. if the price increases 1/2 dollar per share, what is

Luba_88 [7]

The price of the new stock would $5.25 because you have to add the $4.75 and $0.50 to find the new price

7 0

3 years ago

A spotlight on the ground shines on a wall 12 m away. If a man 2 m tall walks along the x-axis from the spotlight toward the bui

Sedbober [7]

Answer:

0.675 m/s

Step-by-step explanation:

Let height of shadow= y,CD=x

Height of man=2 m

Speed of man= $\frac{dx}{dt}=1. 8 m/s$

$\triangle ABD\sim\triangle ECD$

Therefore, $\frac{AB}{EC}=\frac{BD}{CD}$

$\frac{y}{2}=\frac{12}{x}$

$xy=24$

Differentiate w.r.t t

$x\frac{dy}{dt}+y\frac{dx}{dt}=0$

$x\frac{dy}{dt}=-y\frac{dx}{dt}$

$\frac{dy}{dt}=-\frac{y}{x}\frac{dx}{dt}$

When the man is 4 m from the building

Then, we have x=12-4=8 m

$\frac{dx}{dt}=1.8 m/s$

Substitute the values in above equation then, we get

$8y=24$

$y=\frac{24}{8}=3$

Substitute the values then we get

$\frac{dy}{dt}=-\frac{3}{8}\times 1.8=-0.675 m/s$

Hence, the length of his shadow on the building decreasing at the rate 0.675 m/s.

8 0

3 years ago

Which side lengths form a right triangle.

belka [17]

Answer: B

Explanation:

Use Pythagorean’s theorem to find it out:

A^2 + B^2 = C^2

8^2 + 15^2 = 17^2

64 + 225 = 289

289 = 289

So these side lengths create a right triangle

3 0

3 years ago

How do you dilate a quadrilateral abcd with the origin as the center of dilation and a scale factor of 2.5?

Ksenya-84 [330]

You do that dilation by multiplying every x- and y-coordinate value by 2.5.

8 0

3 years ago