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Anna35 [415]
3 years ago
13

Evaluate the expression when x = 6 3x - 1

Mathematics
1 answer:
kari74 [83]3 years ago
7 0

Answer:

17

Step-by-step explanation:

3x - 1; x = 6

3x - 1

3(6) - 1

18 - 1 = 17

<u>-TheUnknown</u><u>S</u><u>cientist</u>

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The combined area of a square and a rectangle is 225 square yards. the length of the rectangle is 8 times the width of the recta
snow_lady [41]

Answer:

The rectangle:  <u>L = 40 yards.   W = 5 yards</u>

The square: The length and width are both <u>5 yards</u>.

Step-by-step explanation:

<u>Let L and W be the length and width of the rectangle. </u>

<u>Let l and w be the length and width of the square.</u>

Area for each is:

Rectangle:  L*W

Square:       l*w

We are told that <u>L*W + l*w = 225 yards^2</u>

We are also told that

<u>L = 8W </u>

and that

<u>l = W</u>

Since the sides of a square are all equal, w is also W:  <u>w=W</u>

Summarizing and substituting:

L*W + l*w = 225 yards^2

(8W)*W + W*W = 225 yards^2

8W^2 + W^2 = 225 yards^2

9W^2  = 225 yards^2

W^2 = 25

W = 5 feet

---------------------

Therefore, since L = 8W <u>,</u> <u>L = 40 yards.   W = 5 yards</u> for the rectangle.

The square:  l=W, so <u>l = 5 yards, and thus w=5 yards</u>

--------------------------

Check:

Do a rectangle of 40' x 5' plus a square of 5' x 5' have a total combined area of 225 yards^2?

40yd x 5yd + 5yd x 5yd = 225 yards^2?

200 yd^2 + 25 yd^2 = 225 yards^2?

YES

5 0
2 years ago
5. <br> 56°<br> 94°<br> 4.5%<br> 1.5x
dedylja [7]

Answer:

Step-by-step explanation:

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8 0
3 years ago
Could someone explain why (-4)² is equal to 16 but -4² is equal to -16​
erica [24]

Answer:

It's all about the brackets.

Step-by-step explanation:

If we do (-4)^2, the brackets make it -4 x -4 and the two negatives make a positive of 16.

If we do -4^2, that means that the 4 is squared before putting the minus sign there so you have 4x4 = 16 then put the minus to get -16.

Hope this helps!

treviglaslibrary

8 0
3 years ago
Read 2 more answers
On Tuesday Emily bought nine hats. on Wednesday half of all the hats that she had were destroyed. on Thursday there were only 24
umka21 [38]

Answer:

33 i think

Step-by-step explanation:

sorry im not that smart but i did the math so it should be 33

3 0
3 years ago
What is the answer to 16x8
Karolina [17]

Answer is: 16x8 = 128

6 0
3 years ago
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