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Colt1911 [192]
2 years ago
8

Samantha had $15.She spends $2.25 on admission to the ice skating rink, $2.15 to rent ice skates and $1.35 each for 2 hot chocol

ates.How much money does she have left?
Mathematics
1 answer:
jolli1 [7]2 years ago
7 0

Answer: $7.90

Step-by-step explanation:

When we see how much she spent on the total cost of renting skates, getting in, and getting hot chocolate, we can see that she is going to subtract all of that from the total cost.

$15.00 - 2.25 = 12.75

12.75 - 2.15 = 10.60

10.60 - 1.35 = 9.25

9.25 - 1.35 = 7.90 remaining

We know that she payed 2.25 to get in, 2.15 for skate rental, and 1.35 for each hot chocolate she purchased which in this case is 2. We need to subtract all of this from 15 and get the final answer

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line AB has endpoints A (-3, 1) and B (4, 5), find the coordinates of point p on directed line segment AB that partitions AB in
Margarita [4]
<h3>Given</h3>

A(-3, 1), B(4, 5)

<h3>Find</h3>

coordinates of P on AB such that AP/PB = 5/2

<h3>Solution</h3>

AP/PB = 5/2 . . . . . desired result

2AP = 5PB . . . . . . multiply by 2PB

2(P-A) = 5(B-P) . . . meaning of the above

2P -2A = 5B -5P . . eliminate parentheses

7P = 2A +5B . . . . . collect P terms

P = (2A +5B)/7 . . . .divide by the coefficient of P

P = (2(-3, 1) +5(4, 5))/7 . . . . substitute the given points

P = (-6+20, 2+25)/7 . . . . . . simplify

P = (2, 3 6/7)

8 0
3 years ago
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What value of x satisfies this equation (5x + 20) = 2
FrozenT [24]

Answer:

x equals -3.6

Step-by-step explanation:

5 something +20 is supposed to be 2, so you take the two off of the 20 and get 18, then divide the 18 by 5 and you'll get 3,6 and logically since it needs to be negative you need the minus before it.

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2 years ago
A rectangle has a height of k2 + 3 and a width of k2 + 7.
ElenaW [278]

Answer:

The area of the rectangle in polynomial form is k^4 +10 k^2 + 21

Step-by-step explanation:

Given

Shape: Rectangle

Height: k^2 + 3

Width: k^2 + 7

Required

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The area of a rectangle is calculated as thus;

Area = Length * Width

By substituting k^2 + 3 for height and k^2 + 7 for width; This gives

Area = (k^2 + 3)(k^2 + 7)

Expand the bracket

Area = k^2(k^2 + 7) + 3(k^2 + 7)

Open each bracket

Area = k^2*k^2 + k^2*7 + 3*k^2 + 3*7

Area = k^4 +7 k^2 + 3k^2 + 21

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Remember however that our problem is

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So we need to write 0.9 as a percent and we can do

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So 0.9 becomes 90%.

So when a number changes from 2,000 to 200,

it has decreased by 90%.

8 0
3 years ago
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