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makvit [3.9K]
3 years ago
5

A truck can be rented from Company A for $100 a day plus $0.40 per mile. Company B charges $20dayplus $0.90 per mile to rent the

same truck. How many miles must be driven in a day to make the rental cost for Company A less than the rental cost of Company B?
Mathematics
1 answer:
dangina [55]3 years ago
6 0

Answer:

the number of miles is 160

Step-by-step explanation:

The computation is given below:

Let us assume the miles be x

For company A

y = $100 + $0.40x

And, for company B

y = $20 + $0.90x

In order to find out the number of miles, the rental cost of the company A should be less than the company B rental cost

SO,

$20 + $0.90x > $100 + $0.40x

Subtract $20 from both sides

0.90x > 80 + 0.40x

Now subtract 0.40x from both sides

0.50x >80

x>160

So the number of miles is 160

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16 to 52

Step-by-step explanation:

7 0
2 years ago
Which of the following is an equivalent equation obtained by completing the square of the expression below? x^2+6x−8=0 A (x+3)^2
valentina_108 [34]

Answer:

Solving the equation x^2+6x-8=0 by completing the square method we get \mathbf{(x+3)^2=17}

Option B is correct option.

Step-by-step explanation:

We need to solve the equation x^2+6x-8=0 by completing the square method.

For completing the square method: we need to follow: a^2+2ab+b^2=(a+b)^2

We are given:

x^2+6x-8=0

Solving by completing the square

x^2+2(x)(?)+(?)^2-8=0

We need to find ? in our case ? is 3 because 2*3= 6 and our middle term is 6x i,e 2(x)(3)=6x.

So, adding and subtracting (3)^2

x^2+2(x)(3)+(3)^2-8-(3)^2=0\\(x+3)^2-8-9=0\\(x+3)^2-17=0\\(x+3)^2=17

So, solving the equation x^2+6x-8=0 by completing the square method we get \mathbf{(x+3)^2=17}

Option B is correct option.

7 0
2 years ago
On the distant plant, Mathology, a sports area covers 7400 yodels2. How many square deckles would this be if 1 deckle = 75.9 yod
STatiana [176]

Answer:

It would be <u>97.50</u> square deckles.

Step-by-step explanation:

Given:

On the distant plant, Mathology, a sports area covers 7400 yodels².

1 deckle = 75.9 yodels.

Now, to get the square deckles.

As given, 1 deckle = 75.9 yodels.

So, to get the square deckles by using conversion factor:

<em>75.9 yodels = 1 deckle.</em>

7400 yodels² = 7400\div 75.9

                       = 97.50\ deckels ^2.

Therefore, it would be 97.50 square deckles.

8 0
3 years ago
Find the Diameter of the Circle with the following equation. Round to the nearest tenth.
Radda [10]

The diameter of the circle is 11.8 units

<h3>How to determine the diameter of the circle?</h3>

The circle equation is given as:

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A circle equation is represented as:

(x - a)^2 + (y - b)^2 = r^2

Where

Diameter = 2r

By comparing both equations, we have

r^2 = 35

Take the square root of both sides

r = 5.9

Multiply by 2

2r = 11.8

Hence, the diameter of the circle is 11.8 units

Read more about circle equation at:

brainly.com/question/10618691

#SPJ1

3 0
2 years ago
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Shkiper50 [21]

Answer:

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Step-by-step explanation:

you can't measure a mile per mile (/=per)

6 0
2 years ago
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