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ella [17]
3 years ago
11

Can someone help me with this question please!!!!!

Mathematics
1 answer:
faltersainse [42]3 years ago
6 0
From the equation, it looks like we can set up a triangle like this.  One side is x and the other is x + 20 because the northbound car traveled 20 miles farther.  The hypotenuse is 100 because they were 100 miles apart.

Next, we can use the Pythagorean Theorem to solve for x:

a² + b² = c²
x² + (x + 20)² = 100²

This simplifies to:

x² + x² + 40x + 400 = 10000
2x² + 40x = 9600
2x² + 40x - 9600 = 0

After that, we can divided each side by 2:

x² + 20x - 4800 = 0

Next, we have to factor:

(x - 60)(x + 80) = 0
x = 60, -80

Since we know that distance can't be negative, 60 is the valid answer in this case.

x = 60
x + 20 = 80

Using this information, we know that the westbound car traveled 60 miles and the northbound car traveled 80 miles.

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A salesperson sells $2100 in merchandise and earns a commission of $273, What is the commission rate?
larisa86 [58]

if we take 2100 to be the 100%, what is 273 off of it in percentage?

\begin{array}{ccll} amount&\%\\ \cline{1-2} 2100 & 100\\ 273& x \end{array} \implies \cfrac{2100}{273}=\cfrac{100}{x}\implies \cfrac{100}{13}=\cfrac{100}{x} \\\\\\ 100x=1300\implies x=\cfrac{1300}{100}\implies x=13

3 0
2 years ago
United States facing a budget deficit of 1.5 billion, population was 3.9 million how much would each person have to contribute t
Diano4ka-milaya [45]

Answer:

Each person would have to contribute to contribute $385 to pay a 1.5 deficit.

Step-by-step explanation:

To determine:

How much would each person have to contribute to pay a 1.5 deficit if United States facing a budget deficit of 1.5 billion and 3.9 million population?

Fetching Information and Solution Steps:

  • United States facing a budget deficit of 1.5 billion
  • Population = 3.9 million

We have to determine how much would each person have to contribute to pay a 1.5 deficit.

Just dividing 1500 millions (1.5 billion) by 3.9 million as:

\frac{1500}{3.9} =384.6153

which is rounded to $385.

Therefore, each person would have to contribute to contribute $385 to pay a 1.5 deficit.

Keywords: deficit

Learn more about deficit from brainly.com/question/3638352

#learnwithBrainly

4 0
3 years ago
What is the value of this expression when c = -4 and d = 10?
lianna [129]

The complete question is

"What is the value of this expression when c= -4 and d= 10?

1/4 (c^3+d²)

A.2

B.9

C.21

D.41"

The value of this expression when c = -4 and d = 10 will be option B 9.

<h3>What is a simplification of an expression?</h3>

Usually, simplification involves proceeding with the pending operations in the expression.

Simplification usually involves making the expression simple and easy to use later.

The given expression is

1/4 (c^3+d^2)\\\\1/4 ((-4)^3+(10)^2)\\\\1/4 ( -64 + 100)\\\\1/4 (36)\\\\9

Hence, the value of this expression when c = -4 and d = 10 will be option B 9.

Learn more about an expression here:

brainly.com/question/1249625

#SPJ1

6 0
2 years ago
A regular octagon has a radius of 6 ft and a side length of
Svetlanka [38]

Answer:

<h2>Area of the regular octagon is approximately 102ft²</h2>

Step-by-step explanation:

Given the radius and length of a side of regular octagon as shown;

radius = 6ft and length of side = 4.6ft

Area of a regular octagon is expressed as A = 2(1+\sqrt{2} )a^{2} where a is the length of one side. Given a = 4.6ft

Area = A = 2(1+\sqrt{2} )(4.6)^{2}\\

= 2(1+\sqrt{2} )*21.16\\= (2+2\sqrt{2})*21.16\\ = 4.83*21.16\\= 102.20ft^{2} \\

Area of the regular octagon is approximately 102ft²

3 0
3 years ago
Use the numbers 3 and 4 to make a fraction that is greater than 1 and a fraction less than 1. Explain how you made your fraction
Lana71 [14]

Answer:

4/3

Step-by-step explanation:

put one number on the top and one on the bottom. trial and error...

3 0
3 years ago
Read 2 more answers
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