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4 years ago

How do you change 44/15 into a mixed number

1 answer:

5 0

First you can divide 44 into 15, which is two with a remainder of 14 so that means the mixed number would be 2 and 14/15

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The perimeter of a rectangle is equal to 163 yard. The width is 8 more than twice the length. Find the length and width.

Sedaia [141]

Answer:

l = 29.4 yards

w = 66.8 yards

General Formulas and Concepts:

Order of Operations: BPEMDAS
Perimeter of a Rectangle: P = 2w + 2l

Step-by-step explanation:

Step 1: Define

P = 163 yards

w = 2l + 8

l = l

Step 2: Set up equation

P = 2w + 2l

163 = 2(2l + 8) + l

Step 3: Solve for l

Distribute 2: 163 = 4l + 16 + l
Combine like terms: 163 = 5l + 16
Subtract 16 on both sides: 147 = 5l
Divide both sides by 5: 147/5 = l
Rewrite: l = 147/5
Evaluate: l = 29.4 yards

Step 4: Find w

Define: w = 2l + 8
Substitute: w = 2(29.4) + 8
Multiply: w = 58.8 + 8
Add: w = 66.8 yards

4 0

3 years ago

H(n) - 4n - 4; Find h(0)

9966 [12]

4h hi fing h0 9 p h)n 0

6 0

3 years ago

A right prism has height 7½ and triangular bases with sides of length 5, 12, and 13 What is the: Total Surface Area of the Prism

sdas [7]

Given:

A right prism has height 7½ and triangular bases with sides of length 5, 12, and 13.

To find:

The total surface area of the prism.

Solution:

We have,

Height of prism = 7½ = 7.5

Sides of triangular base are 5, 12, 13. These sides of Pythagorean triplets because

$5^2+12^2=13^2$

$25+144=169$

$169=169$

So, the base of the prism is a right triangle.

Area of a triangle is

$Area=\dfrac{1}{2}\times base \times height$

$A_1=\dfrac{1}{2}\times 5\times 12$

$A_1=30$

The area of the base is equal to the area of the top, i.e., $A_2=30$ sq units.

Perimeter of the base is

$P=5+12+13$

$P=30$

The curved surface area of the prism is

$CSA=\text{Perimeter of the base}\times \text{Height of the prism}$

$CSA=30\times 7.5$

$CSA=225$

Now, the total area of the prism is

$A=A_1+A_2+CSA$

$A=30+30+225$

$A=285$

Therefore, the total surface area of the triangular prism is 285 square units.

5 0

3 years ago

There are 25 bananas that will be cut and divided evenly between 4 loaves of bread. How many bananas go into each loaf? Choose t

Paul [167]

Answer: 6 1/4

Step-by-step explanation: 25 divided by 4 = 6 1/4

4 0

3 years ago

Someone help me . what’s the infinite solution or just what it says help please make sure right .

Gala2k [10]

Answer:

yes it is right

Step-by-step explanation:

3 0

3 years ago