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dexar [7]
3 years ago
13

100 POINTS!!!!! HELP ME PLEASE DONT HAVE A LOT OF TIME!!!!! HELP!!!!!

Mathematics
2 answers:
astra-53 [7]3 years ago
6 0

Answer:

$1500

Step-by-step explanation:

You can divide this figure into 2 rectangle with dimensions:

1) 70 × 20

2) 20 × (50-20: 20 × 30

Area:

(70×20) + (20×30)

1400 + 600

2000 in²

Cost per in²: 0.75

2000in² cost:

2000 × 0.75

$1500

aleksandrvk [35]3 years ago
3 0

Answer:

A. $1500

Step-by-step explanation:

We need to find the countertop area, so let's calculate the areas of the rectangles that the problem broke the countertop into:

1. "1 rectangle has a base of 70 inches and height of 20 inches"

The area of a rectangle is denoted by: A = bh, where b is the base and h is the height. Here, b = 70 and h = 20, so the area is: A = 70 * 20 = 1400 inches squared

2. "The other rectangle has a base of 20 inches and height of 30 inches"

Again, use A = bh: b = 20 and h = 30, so A = 20 * 30 = 600 inches squared

Add up these two areas: 1400 + 600 = 2000 inches squared.

The problem says that the cost is $0.75 per square inch, so multiply this by 2000 to get the total cost of 2000 square inches:

2000 * 0.75 = $1500

Thus, the answer is A.

Hope this helps!

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Solve for x: 6x + 1 over 4 (4x + 8) > 12
sukhopar [10]

Answer:

A. x>\frac{10}{7}.

Step-by-step explanation:

We have been given an inequality 6x+\frac{1}{4}(4x+8)>12. We are asked to solve the given inequality for x.

Using distributive property, we will get:

6x+\frac{1}{4}*4x+\frac{1}{4}*8>12

6x+x+2>12

7x+2>12

Subtract 2 from both sides:

7x+2-2>12-2

7x>10

Divide both sides by 7:

\frac{7x}{7}>\frac{10}{7}

x>\frac{10}{7}

Therefore, option A is the correct choice.

3 0
3 years ago
Jane bought 4 books, 3 cups, and 7 rungs. She paid $4 per book, $5 per cup, and $10 per ring. Estimate her change from $50 bill
vlada-n [284]

Hello!

Let's multiply each thing here.

4(4)=16

3(5)=15

15=16=31

50-31=29

Therefore, her change is $29.

I hope this helps!

8 0
3 years ago
Read 2 more answers
10. Write in slope-intercept form:<br> -3x + 4y = 12
Anastasy [175]

Answer:

Step-by-step explanation:

Write in slope-intercept form:

-3x + 4y = 12 is

 Slope = 1.500/2.000 = 0.750

 x-intercept = 12/-3 = 4/-1 = -4.00000

 y-intercept = 12/4 = 3

7 0
3 years ago
A swimming pool has a length of 25 ft, a width of 15 fr, and a depth of 4 ft. What is the volume of the water in this pool when
timofeeve [1]

Answer:

1312.5 cubic feet

Step-by-step explanation:

Let the swimming pool be a rectangular prism

The volume of a rectangular prism is:

Volume = length * width * depth

Length = 25 (given)

Width = 15 (given)

The depth is 4ft, but they want the volume when water is 6 inches FROM THE TOP, that is, out of 4 feet, 6 inches (1/2 feet) IS NOT FILLED. So the depth of water is

4 - 1/2 = 3.5 feet

So, we can say

Depth = 3.5 (found)

Hence, the volume would be:

Volume = 25 * 15 * 3.5 = 1312.5 cubic feet

8 0
3 years ago
Please show me how to do this, I need to show work
Marrrta [24]

Answer:

x ≈ 11.68 ( to 2 dec. places )

Step-by-step explanation:

Given

6^{(x-8)} = 730 ( take log of both sides )

log 6^{(x-8)} = log730

(x - 8)log6 = log730 ( divide both sides by log6 )

x - 8 = \frac{log730}{log6} ≈ 3.68 ( add 8 to both sides )

x ≈ 11.68 ( to 2 dec. places )

5 0
3 years ago
Read 2 more answers
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