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Kamila [148]
3 years ago
11

Philip is going on a 4000-kilometer road trip with three friends. The car consumes 6 liters of gas per 100 kilometers, and gas c

osts $1.50 per liter.
If Philip and his friends want to split the cost of gas evenly, how much should they each pay?
Mathematics
1 answer:
Ghella [55]3 years ago
4 0
They would have to pay 120$ each.

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Marina spent $13.50 at the grocery store. She bought pears, kiwis, and pineapples. Pears cost $0.50 each, pineapples cost $1.50
MArishka [77]

Answer:

Number of pineapples= 10

number of pears = 19

number of kiwis = 10 -2 = 8

Step-by-step explanation:

Cost of a pear = $ 0.50

Cost of a pineapple = $ 1.5

cost of a kiwi = $ 0.3

Let the pineapples = p

Number of pears = 9 + p

Number of kiwis = p - 2

The cost is

0.15 p + 0.5 (9 + p) + 0.3 (p - 2) = 13.50

0.15 p + 4.5 + 0.5p + 0.3 p - 0.6 = 13.50

0.95 p = 9.6

p = 10

 

8 0
3 years ago
Read 2 more answers
Whats the inequality in the graph?
Kazeer [188]

Answer:

y=2x-5

Step-by-step explanation:

Slope is rise over run, or y/x

The points given were (0,-5) and (-1,-3)

Using y2-y1/x2-x1 we can find the slope.

-3-(-5)/-1-0 = 2/-1 = -2 = slope

Next, we have to find the y-intercept. The y-intercept is where the point on the line meets the y-axis.

This point is shown at -5.

Now, putting our information into y=mx+b (slope-intercept form)

y=2x-5

2 is our slope

-5 is our y intercept

6 0
3 years ago
8. H={all numbers of the form 3n+1, for n a natural number} under multiplication?
poizon [28]

Answer and Step-by-step explanation:

H= {all numbers of the form 3n+1, for n natural number} under multiplication:

Sol: all number of the form 3n+1, for n natural number so, put n=2, 3(2) +1 = 7, which is a natural number. A natural number under multiplication does not form a group because its inverse does not exist.

J= {all number of the form 3n+2, for n natural number} under multiplication:

Sol: all the number of the form 3n+2, n is the natural number does not form a group under multiplication because the identity element does not form in this set, and inverse does not exist.

K= {perfect squares of integers} under addition:

Sol: perfect square of integers under addition does not form a group because the inverse does not exist. For example, for any element x, inverse (-x) does not exist because of a square integer.

L= {perfect squares of integers} under multiplication:

Sol: a set of the perfect square of integers under multiplication is not a set, because it does not have the inverse property

M= {all numbers of the form 2, for n natural number} under addition:

Sol: natural number in the form of 2n, n is a natural number under addition is not a group as it does not have identity property. Identity property, under addition, is zero.

N= {all number of the form 2n, n is natural number} under multiplication:

All number of the form 2n, n is the natural number under multiplication is not a group. Because its inverse does not exist. For example, an element x belongs to a natural number; its inverse (1/x) does not exist in this set.

8 0
3 years ago
Suppose you invest $8,600 into a savings account with a 7.25% annual interest rate
Leto [7]

Answer:

16,507.38

Step-by-step explanation:

The equation for this would be 8600(1 + 0725/52)^52*9

9 is the years, 52 is the compounded weekly, and 8600 is the initial amount.

Solving the equation, we get:

16,507.38

4 0
3 years ago
You drop a stick from a height of 64 feet. At the same time, your friend
Schach [20]

Using a quadratic function, it is found that:

a) It hits the ground after 2 seconds.

b) Your friend's stick hits the ground 0.83 seconds later.

<h3>What is the quadratic function for the projectile's height?</h3>

It is given by:

s(t) = -16t^2 + v(0)t + h(0)

In which:

  • v(0) is the initial velocity.
  • h(0) is the initial height.

Item a:

Dropped at rest from a height of 64 feet, hence v(0) = 0, h(0) = 64, so the equation is:

s(t) = -16t^2 + 64

It hits the ground when s(t) = 0, hence:

-16t^2 + 64 = 0

t^2 = 4

t = 2.

It hits the ground after 2 seconds.

Item b:

For your friend, we have that h(0) = 144, hence:

-16t^2 + 144 = 0

t^2 = 8.

t = 2.83.

2.83 - 2 = 0.83.

Your friend's stick hits the ground 0.83 seconds later.

More can be learned about quadratic functions at brainly.com/question/24737967

5 0
2 years ago
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