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3 years ago

6. use the distributive property to simplify. -3(x - 10) + x

Mathematics

1 answer:

Roman55 [17]3 years ago

4 0

Answer:

for 6: -2x+30

I dont know for # 8

Step-by-step explanation:

to distribute, you have to multiply -3 by x and -10.

-3(x) - -3(10) + x =

-3x + 30 + x:

then you have to add common terms

-3x + x = -2x

then replace that in your equation to get:

-2x +30

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A 40-foot ladder is leaning against a building and forms a 29.32° angle with the ground. how far away from the building is the b

zaharov [31]

The distance between the building and the ladder is 34.876 foot.

<h3>What is a Right Triangle?</h3>

A triangle in which one of the angle measure is equal to 90 degree is called a right triangle.

The ladder forms a right triangle with the building and the ground,

The length of the triangle is 40 foot

The angle made by the ladder is 29.32 degree

By using Trigonometric Ratios

cos 29.32 = Base / Hypotenuse

cos 29.32 = Base / 40

0.8718 × 40 = Base

Base = 34.876 foot

Base is the distance between the building and the ladder.

Base of the ladder = 34.876 foot

To learn more about trigonometric functions from the given link

brainly.com/question/24336684

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8 0

2 years ago

A state is considering license plates that have two digits followed by four letters. Assuming no combinations are excluded, how

love history [14]

Answer:

32,292,000

Step-by-step explanation:

In your question, it asks how many license plate combinations we could make WITHOUT repeats.

We need some prior knowledge to answer this question.

We know that:

There are 26 letters in the alphabet
We can make 10 digits (0 - 9)

With the information we know above, we can solve the question.

Since we CAN'T have repeats, we would be excluding a letter or number for each license plate.

We're going to need to multiply each "section" in order to find how many combinations of license plates we can make.

We decrease by one letter and one number in each section since we can't have repeats.

Now, we can solve.

Work:

$26*25*24*23*10*9 = 32,292,000$

When you're done multiplying, you should get 32,292,000.

This means that there could be 32,292,000 different combinations of license plates.

<h3>I hope this helps you out.</h3><h3>Good luck on your academics.</h3><h3>Have a fantastic day!</h3>

8 0

3 years ago

Read 2 more answers

Please help! <br> Express 35 marks out of 40 as a percentage.

Blizzard [7]

Answer:

$\huge\boxed{\sf 87.5 \ \%}$

Step-by-step explanation:

35 marks out of 40<u> as a fraction:</u>

35 / 40

<u>As a percentage:</u>

<u></u> $\sf \frac{35}{40} * 100 \ \%\\\\0.875 * 100 \ \%\\\\87.5 \ \%\\\\\rule[225]{225}{2}$

Hope this helped!

7 0

3 years ago

What type of function is represented in the table?

Fynjy0 [20]

I am pretty sure it linear

6 0

2 years ago

Jason purchased 12 shirts for the members of a school club. Each shirt cost $5.50. Jason

Alex Ar [27]

Answer:

52 dollars and 47 cents, or 52.47

Step-by-step explanation:

First, multiply 12 and 5.50, then you should get 66.00. Then, take the 25% discount, and divide it by a hundred, you should get 0.25, now multiply 0.25 and 66.00. You should get 16.50, thats your discount, so subtract 16.50 from 66.00, you should get 49.50. Now for the sales tax, divide 6.0 by 100, you should get 0.06. Now multiply 0.06 and 49.50, you should get 2.97, thats your tax, add it to 49.50, and you get 52.47 so BOOM, thats your answer, your welcome

5 0

3 years ago