best rentals charges a daily fee plus a mileage fee for renting its cars. barney was charged $159 for 3 days and 300 miles, while mary was charged $289 for 5 days and 600 miles. what does best rental charge per day and per mile?

Answers

Answer 1
Answer:

Answer:

Let charge per day be $x  and charge per mile be $y  

then:

as per the given condition we have;

3x + 300y =159          .....[1]

5x + 600y = 289       .....[2]

Multiply equation [1] both sides by 5 we get;

5(3x+300y) = 5 \cdot 159

Using distributive property: a \cdot(b+c) = a\cdot b+ a\cdot c

15x+1500y = 795                 .....[3]

Multiply equation [2] by 3 both sides we get;

3(5x+600y) = 3 \cdot 289

Using distributive property: a \cdot(b+c) = a\cdot b+ a\cdot c

15x+1800y = 867                    .....[4]

Subtract equation [3] from [4] to eliminate x and solve for y;

15x+1800y-15x-1500y = 867 -795

Combined like terms;

300y = 72

Divide both sides by 300 we get;

y = (72)/(300)=0.24

⇒  y =$0.24 per mile.

Now substitute this value y in equation [1] to solve for x;

3x + 300(0.24) =159

3x + 72 =159

Subtract 72 both sides we get;

3x + 72 -72 = 159 -72

Simplify:

3x = 87

Divide both sides by 3 we get;

x = (87)/(3) = 29

Therefore, the best rental charges per day is, $ 29 and the charges per mile is, $0.24






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A jar contains 6 red, 8 blue, one white, 7 black, and twoyellow marbles
Use this information to determine the probability of
selecting
1) a white marble
2) a red marble
3) a yellow marble
4) a purple marble
5) a black marble

Answers

Answer:

1) 1/23  2) 6/23  3) 2/23  4) 0/23  5) 7/23

Step-by-step explanation:

There are 23 marbles in total.

1) 1/23    There is 1 white marble.

2) 6/23   There are 6 red marbles.

3) 2/23    There are 2 yellow marbles.

4) 0/23   There are 0 purple marbles.

5) 7/23    There are 7 black marbles.

Help! please i’m stuck

Answers

ABC is an isosceles triangle.
AB = BC = 8
Therefore Angle B = 30 degrees
So, Angle A = 180 -30 -30
Angle A = equals 120 degrees
answer is B



The answer is B, 120.

you have a coupon for an additional 25% off the price of any sale item at store. the store has put a robotics kit on sale for 15% off the original price of $40. what is the price of the robotics kits after both discounts?

Answers

The price of the robotics kits after both discounts is $25.5

What is a discount price?

The price at which something is sold, after reducing some amount from the regular price, is called discount price.

Given that, you have a coupon for an additional 25% off the price of any sale item at the store. the store has put a robotics kit on sale for 15% off the original price of $40.

Here, two discounts are given, at 25% and at 15%

Therefore, the selling price (price after the discounts) = 40x(100-25)/100x(100-15)/100

= 40x75/100x85/100

= 51/2

= 25.5

Hence, the price after the discounts is $25.5

For more references on discount price, click;

brainly.com/question/3541148

#SPJ1

Firstly we need to count how much is 15% from $40:

40 * 15% =
= 40 * 15/100 =
= 40 * 3/20 =
= 2 * 3/1 =
= 2 * 3 =
= 6 [dollars]

So the kit costed $40 - $6 = $34 after the first general discount. Now the question is if the coupon relates to the original price or to the lowered price. We'll do both:

If it relates to the original price, we need to find how much is 25% of $40. We can do it in mind - it's $10. So with two discounts the price would be $40 - $6 - $10 = $24.

However, if it relates to the lowered price, we need to find how much is 25% from $34:

34 * 25% =
= 34 * 25/100 =
= 34 * 1/4 =
= 8.5 [dollars]

So the final price in such a situation would be $40 - $6 - $8.5 = $25.5.

A cube has a surface area of 294 square cm. Find the length of one side.

Answers

Surface area of cube = 6s²

Where s is the length of the side of the cube.

6s² = 294

s² = 294/6

s² = 49

√s² = √49

s = 7

Length of one side = 7 cm.

I hope this helps.
A cube has a surface area of 294cm2 (294cm squared). What are the formulas to find both dimension and volume? Thank you!
SURFACE AREA OF CUBE = A = 6*S^2.......WHERE S= SIDE OF THE CUBE
VOLUME OF CUBE = V = S^3

6S^2=294 SQ.CM.
S^2=294/6 = 49 = 7*7
S=7
V = 7^3 = 343 CU.CM.


               --hope this helps.

A baseball player won 80% of the games he pitched. if he pitched 35 ballgames, how many games did he win?

Answers

80% of 35 is what?
1. Multiply the opposites80 x 35 = 2800
2. Divide by the remaining number.
100√2800 =28
28 games.

√= i used this to make division bar thing
Multiply 35 by 80 and divide by 100 and get an answer of 28.

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Answers

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