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2 years ago

5 times the sum of s and 7

Mathematics

1 answer:

EastWind [94]2 years ago

6 0

Answer:

5(s+7) or (s+7)*5

Step-by-step explanation:

Read the question carefully when trying to do these problems. Whenever it states "sum" then you should automatically put the terms behind it (s and 7) together to add them together. This would look like s+7.

Next it says 5 TIMES the sum of the terms therefore you should put s+7 together in parentheses and multiply them by 5 so that you first have the sum of s and 7 in parentheses. This would then look like 5(s+7) or (s+7)*5.

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A brand of clay brick tiles has the dimensions 3 5 8 by 7 5 8 by 1 2 inch. These thin bricks are commonly used for floors. Estim

raketka [301]

Answer: The cost to tile the floor is $318.24.

Step-by-step explanation:

Since we have given that

Dimensions of floor is 12 by 17 foot.

So, Area of floor would be

$12\times 17\\\\=204\ sq.\ foot$

As we know that 1 foot = 12 inch

So, Area of floor would be

$204\times (12)^2\\\\=204\times 144\\\\=29376\ sq.\ foot$

Dimension of brick tiles is given by

$3\dfrac{5}{8}\ by\ 7\dfrac{5}{8}\ by\ \dfrac{1}{2}$

So, Area of brick tiles is given by

$2(lb+bh+lh)\\\\=2(\dfrac{29}{8}\times \dfrac{61}{8}+\dfrac{61}{8}\times \dfrac{1}{2}+\dfrac{29}{8}\times \dfrac{1}{2})\\\\=2(\dfrac{1769}{64}+\dfrac{61}{16}+\dfrac{29}{16})\\\\=2\times \dfrac{1769+244+116}{64}\\\\=\dfrac{2129}{32}$

So, Number of clay brick would be

$29376\div \dfrac{2129}{32}\\\\=29376\times \dfrac{32}{2129}\\\\=\dfrac{29376\times 32}{2129}\\\\=441.53\\\\\approx 442$

cost of each clay brick = $0.72

So, Total cost of flooring would be

$442\times 0.72\\\\=\$318.24$

Hence, The cost to tile the floor is $318.24.

7 0

2 years ago

If rectangle ABCD is rotated counter clock wise 90º about the origin, what will be the coordinates of the vertex D'?

7nadin3 [17]

So, the best way to do this is translate it to clockwise. 90 degrees counterclockwise is equal to 270 degrees clockwise. So, basically, to rotate, you would follow the following format for each point-
(X,Y) -> (-Y,X)
Now, you do it for each of the points.
A= (-5,5), so A' would be (-5,-5)
B= (-1,5), so B' would be (-5,-1)
C= (-5,4), so C' would be (-4,-5)
D= (-1,4) so D' would be (-4,-1)
Notice, how all the points end up in the square below it. Each quadrant has a specific number. The top right is quadrant 1, the top left is quadrant 2, the bottom left is quadrant 3, and the bottom right is quadrant 4. If you are rotating 270 degrees clockwise, you move to the right, like a clock. That puts the new rectangle in quadrant 3. That is a way to check your work.
Now, just so you know for future reference, the following are also different formats for different problems--
A 90 degree Clockwise rotation about the origin will be (X,Y) -> (Y, -X) *Note, -x just stands for the opposite. Say your original x is a negative number. Then the prime (new) x will be positive.
A 180 degree Clockwise rotation about the origin would be (X,Y) -> (-X,-Y) *Note, -y also stands for the opposite.
A 270 degree clockwise rotation about the origin would be (X,Y) -> (-Y,X).
For translating---
90 degrees Clockwise = 270 degrees Counter
270 degrees Clockwise = 90 degrees Counter

Hope this helped!

4 0

2 years ago

(9q r+6qr +20g)+(-6qr -qr -11q-4q r)=

Arte-miy333 [17]

4qr+20g-11q hopefully this would help you

6 0

3 years ago

Solve the equation 4-2(x+7)=3(x+5) =

kumpel [21]

Hi there!

To solve this equation, I first would like to warn you about the long answer I am about to post for you. I'll be putting in very detailed steps for you, showing you how to simplify and distribute numbers, etc. :)

Let us solve your equation step-by-step.

Step 1) Simplify both sides of the equation.

To simplify this, we will...

4 + (-2) (x) + (-2) (7) = (3) (x) + (3) (5)

4 + - 2x + - 14 = 3x + 15

(-2x) + (4 + - 14) = 3x + 15

Now, we combine Like Terms...

-2x + - 10 = 3x + 15

-2x - 10 = 3x + 15

Fwew! That was probably going to be the longest step here!

Step 2) Subtract 3x from both sides.

- 2x - 10 - 3x = 3x + 15 - 3x

- 5x - 10 = 15

Step 3) Add 10 to both sides.

- 5x - 10 + 10 = 15 + 10

- 5x = 25

Step 4) Divide both sides by -5.

-5x/-5 = 25/-5

So, our final answer is x = -5.

Hope this helps!

Message me if you need anything else! I'd be happy to help! :D

8 0

2 years ago

Read 2 more answers

Find the surface area of the rectangular prism<br><br> 2mi 2mi<br> 4mi

skad [1K]

Answer:

the SA is 40

Step-by-step explanation:

the formula for SA of a rectangular prism is 2(lw + lh + wh)

so it would be: 2(2x2+2x2+4x2)

can i get brainliest please? i only need two more

4 0

3 years ago