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olganol [36]
2 years ago
9

A woman is considering two companies from which to rent a truck. triangle truck rental charges ​$20 per day and 35 cents a mile.

circle​ rent-a-truck charges ​$35 a day and 15 cents a mile. how far would sheshe need to drive in one day for the both companies to have the same total​ cost?
Mathematics
1 answer:
Nikitich [7]2 years ago
7 0

You can solve this question using two different methods. One is obviously a hit and trial method in which you keep guessing a number which gives the same amount of total cost. Second is forming two different equations and then solving them using simultaneous methods learnt.

The correct answer is 75 miles. I used the hit and trial method. You can see 20 + 75 * 0.35 = 46.25 and similarly 35 + 75 * 0.15 = 46.25. Hence the same cost.

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Phantasy [73]

Answer:

x = -2 and 1

Step-by-step explanation:

Given :

f(x) = x+2

g(x) = -x²+4

The solution to the equation f(x) = g(x)

=> x+2 = -x²+4

=> x²+x = 4-2

=> x²+x -2 = 0

By factorisation

=> x²+2x-x -2 = 0

=> x(x+2) -1(x+2)

=> (x+2) (x-1)

x = -2 and 1

4 0
2 years ago
Niko bought 4 stamps each week for 3 weeks. He wants to put 6 stamps on each page of his album. How many pages will niko use?
astraxan [27]
You multiply 4 by 3 because he got 4 stamps each week for 3 weeks. That leads to it being 12 stamps in total. 
He wants 6 stamps out of 12 on each page of his album, so you divide 12 by 6 and get two. 
He will use 2 pages.
The tools used were mathematical reasoning, multiplication and division. 
8 0
3 years ago
A boat is heading towards a lighthouse, whose beacon-light is 126 feet above the water. From point AA, the boat’s crew measures
vredina [299]

Using the slope concept, it is found that the distance from point A to point B is of 887 feet.

<h3>What is a slope?</h3>

The slope is given by the <u>vertical change divided by the horizontal change</u>.

It's also the tangent of the angle of depression.

In this problem, the vertical change is of 126 feet.

At point A, the angle is of 6º, while the horizontal position is of x_A, hence:

\tan{6^\circ} = \frac{126}{x_A}

x_A = \frac{126}{\tan{6^\circ}}

x_A = 1198.8

At point B, the angle is of 22º, while the horizontal position is of x_B, hence:

\tan{22^\circ} = \frac{126}{x_B}

x_B = \frac{126}{\tan{22^\circ}}

x_B = 311.9

Hence, the distance in feet is of:

d = x_A - x_B = 1198.8 - 311.9 \approx 887

More can be learned about the slope concept at brainly.com/question/18090623

6 0
1 year ago
Answer for 2,3,4 help pls thanks
Lemur [1.5K]

(90 \times 15) \div 9 =  \: is \: your \: answer

Step-by-step explanation:

1. B is true

2 . I don't know

3.

4 0
3 years ago
Suppose we want to choose 2 letters, without replacement, from the 4 letters A, B, C, and D.
Amiraneli [1.4K]

Answer:

Letters can be chosen in 12 different ways, if order matters, or 6 different ways, if order doesn't matter.

Step-by-step explanation:

Since we want to choose 2 letters, without replacement, from the 4 letters A, B, C, and D, to determine in how many ways can this be done, if the order of the choices matters, and in how many ways can this be done, if the order of the choices does not matter, the following calculations must be performed:

If order matters =

 

(4 x 3 x 2 x 1) / 2 = X

24/2 = X

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If the order doesn't matter =

12/2 = X

6 = X

Therefore, letters can be chosen in 12 different ways, if order matters, or 6 different ways, if order doesn't matter.

3 0
2 years ago
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