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bagirrra123 [75]
3 years ago
9

Solve the equation and justify the steps used to solve. 4+q=17

Mathematics
1 answer:
frez [133]3 years ago
8 0
The answer is 13 … just minus 17-4 and it will equal 13
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Find the values of x (there are two) when the ratio of the area of the shaded portion of the figure to the total area of the fig
Arada [10]

The values of x are x = -0.77 and x = 3.27

<h3>How to determine the value of x?</h3>

To calculate the value of x. we start by using the following equivalent ratio

2x : (3.5 + x + 1.5) = x + 0.5 : x + 1.5

Evaluate the like terms

2x : (5 + x) = x + 0.5 : x + 1.5

Express the ratio as a fraction

2x/5 + x = x + 0.5/x + 1.5

Cross multiply

2x(x + 1.5) = (5 + x)(x + 0.5)

Open the brackets

2x^2 + 3x = 5x + 2.5 + x^2 + 0.5x

Evaluate the like terms

x^2 - 2.5x - 2.5 = 0

Using a graphing calculator, we have

x = -0.77 and x = 3.27

Hence, the values of x are x = -0.77 and x = 3.27

Read more about triangles at:

brainly.com/question/17335144

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6 0
1 year ago
Find the dimensions of a rectangle with perimeter 68 m whose area is as large as possible. (If both values are the same number,
Lina20 [59]

Answer:

<h2>Length is 17m and Breadth is also 17m</h2>

Step-by-step explanation:

The perimeter of a rectangle is expressed as 2(L+B) where;

L is the length and B is the breadth of the triangle.

P = 2(L+B)

68 = 2(L+B)

L+B = 68/2

L+B = 34

L = 34 - B ... 1

Area of the rectangle A = LB... 2

Substituting equation 1 into 2 will give;

A = (34-B)B

A = 34B-B²

To maximize the area of the triangle, dA/dB must be equal to zero i.e

dA/dB = 0

dA/dB = 34 - 2B = 0

34-2B = 0

2B = 34

Dividing both sides of the equation by 2 we will have;

B = 34/2

B = 17

Substituting B = 17 into equation 1 to get the length L

L = 34-17

L = 17m

This shows that the rectangle with maximum area is a square since L = B = 17m

The dimension of the rectangle is Length = 17m and Breadth = 17m

8 0
3 years ago
Kendall ran 3 ¼ of a mile on Saturday. She ran five times as much on Sunday. How much did Kendall run on over the weekend?
Degger [83]

Answer:

19 1/2 miles

Step-by-step explanation:

6 0
2 years ago
What's the area of a rectangle measuring 13in × 12in
slamgirl [31]
Hey there
Your answer is 156 hope it helps:)
- Maddie
5 0
3 years ago
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What is the probability of choosing a burrito with cheese and a taco or a wrap with salsa?
neonofarm [45]
7:2
Step-by-step explanation:
Step one is to think about how often tacos are made. Tacos are made often. Now think about how often Wraps are made, not very often. After some research, the ratio is 7 burritos to 2 wraps. This would make the answer 7:2. Unfortunately tacos are more loved than Wraps.
3 0
3 years ago
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