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2 years ago

What's the distributive property when solving the equation 7(x+5)-x=42

1 answer:

7 0

When you are doing distributive property, it can only happen if a number or exponent is before the bracket. From this equation, you can solve for x like so:

7(x+5)-x=42

7x+35-x=42 -Using distributive property (Multiplication)

6x=7 -Collecting like terms.

x= 7/6 -The answer.

Therefore x would equate to 7/6.

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What is the cosine of angle F A. 4/5 B. 3/4 C. 5/4 D. 3/5

saveliy_v [14]

Answer: option D

Step-by-step explanation:

Remember the cosine identity:

$cos\alpha=\frac{adjacent}{hypotenuse}$

Given the right triangle DFE shown in the image, you can identify that the adjacent side and the hypotenuse for the angle F of this triangle are:

$adjacent=15\\hypotenuse=25$

Now you can substitute values into $cos\alpha=\frac{adjacent}{hypotenuse}$ and then reduce the fraction.

THerefore you get: $cos(F)=\frac{15}{25}\\\\cos(F)=\frac{3}{5}$

6 0

2 years ago

Read 2 more answers

C Betty rearranged the movies on her shelving unit after a few days. She placed equal numbers of movies on the bottom 3 shelves,

mixas84 [53]

There are total 53 movies on the shelving unit

Step-by-step explanation:

DATA

Equal movies on the bottom 3 shelves: 3x

10 movies on each of the top 2 shelves = 2*10 = 20

Equation:

3x + 20

Question:

Number of movies on the shelving unit if 11 movies are on each bottom 3 shelves: x = 11

Solution:

3x + 20

3(11) + 20 = 33 + 20 = 53

Therefore, there are total 53 movies on the shelving unit; 20 on the top 2 shelves and 33 on the bottom 3 shelves altogether.

Keywords: equation

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5 0

2 years ago

Find the measurement of the arc

Lapatulllka [165]

Answer:

146°

Step-by-step explanation:

the measure of an arc that sees the core of the circle is equal to the angle its sees.

6 0

2 years ago

Evaluate the expression 7x to the power of 2y, when x = 5 and y = 3.

Stells [14]

The answer is 210 hope this helps

6 0

2 years ago

Urgent!!! Will give thanks and branliest!

agasfer [191]

Okay so, togo flies 30 miles in 3/5 of an hour with the wind.togo flies 30 miles in 5/6 of an hour against the wind. his rate of speed with the wind was 30 / (3/5) = 30*5/3 = 150/3 = 50 mph.his rate of speed against the wind was 30 / (5/6) = 30*6/5 = 6*6 = 36 mph.3/5 of an hour times 50 mph = 30 miles.
5/6 of an hour times 36 mph = 30 miles.mph looks good.
going he was with the wind.
his rate of speed then was the airplane speed plus the wind speed.coming back he was against the wind.his rate of speed then was the airplane speed minus the wind speed.-----50 mph = A + W36 mph = A - W-----looks like A + W - (A - W) should equal 50 - 36.removing parentheses, equation becomesA + W - A + W = 14.
combining like terms, the equation becomes2*W = 14.dividing both sides by 2, equation becomesW = 7.if W = 7, then A can be found as follows:50 = A + 7A = 43.likewise,36 = A - 7A = 43.since the airplane speed is the same, it looks like the answer is good.solving in the original equations, we get3/5 * (43 + 7) = 303/5 * 50- = 3030 = 30good.-----5/6 * (43 - 7) = 305/6 * 36 = 3030 = 30good.
answer is W = 7 and A = 43.

8 0

3 years ago