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3 years ago

What is the solution to the equation 2/3x-5/6=-5/12x+1/4

Mathematics

1 answer:

vlabodo [156]3 years ago

5 0

Answer: X=13/3

Step-by-step explanation:

1. Multiply Both sides by 12

8x-10=5x+3

2. Collect the like terms, calculate the sum

8x-5x=3+10

3.Divide both sides by 3

3x=13

Answer X=13/3

Alternative Form,

X= 4 1/3, X=4.3

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The area of a cross section perpendicular to the base of a rectangular prism is 45 square inches. If the length and width of the

Naily [24]

The height of the prism is $2.25 \ in$

Explanation:

It is given that the area of the cross section of the rectangular prism is 45 square inches.

Length of the rectangular prism is $5 \ in$

Width of the rectangular prism is $5 \ in$

To determine the height of the prism, let us substitute these values in the formula $SA=(2l+2w)h$ , we get,

$45=(2(5)+2(5))h$

Multiplying the terms within the bracket, we get,

$45=(10+10)h$

Adding the terms within the bracket, we have,

$45=20h$

Dividing both sides by 20, we get,

$2.25=h$

Thus, the height of the rectangular prism is $2.25 \ in$

4 0

3 years ago

Andrea made a replica of the Empire State Building. The surface area of the model is 45 ft2. What is the surface area of the act

melamori03 [73]

Answer:

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Surface area of the Empire State building replica = 45 square feet

Scale factor = 44

2. What is the surface area of the actual Empire State Building in square feet?

For answering the question, we will make the following calculations:

45 square feet = 9 feet * 5 feet or,

45 square feet = 10 feet * 4.5 feet, or,

45 square feet = 20 feet * 2.25 feet.

Now, let's apply the scale factor to all of these probable lengths of the sides of the surface area of the replica, as follows:

(9 *44) * (5 * 44) = 396 * 220 = 87,120 ft²

(10 * 44) * (4.5 * 44) = 440 * 198 = 87,120 ft²

(20 * 44) * (2.25 * 44) = 880 * 99 = 87,120 ft²

<u>As we proved, no matter what are the lengths of the sides of the surface area of the replica. after applying the scale factor, the result is the same: 87,120 ft²</u>

6 0

3 years ago

I don't know what is 4309/73

Alisiya [41]

Step-by-step explanation:

59 2/73

or 59.02 as the answer

4 0

2 years ago

Read 2 more answers

Can anybody help me on this please

kaheart [24]

Answer: I would say Side-Angle-Side

Step-by-step explanation:

5 0

3 years ago

What is the standard form of the following equation?

scZoUnD [109]

y = 2(x - 1)² + 4

y = 2(x² - 2x + 1) + 4

y = 2x² - 4x + 2 + 4

y = 2x² - 4x + 6

7 0

2 years ago