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Rufina [12.5K]
3 years ago
10

Alice needs to rent a car while on vacation. The rental company charges $17.95, plus 15 cents for each mile driven. If Alice onl

y has $40 to spend on the car rental, what is the maximum number of miles she can drive?
Mathematics
1 answer:
Readme [11.4K]3 years ago
7 0

Answer:

Alice can drive 147 miles

Step-by-step explanation:

At first you subtract $17.95 from $40.

Then you are left with $22.05

Finally, you divide $22.05 by $0.15

And you get 147, so she can drive 147 miles without going over her limit.

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Lean wants to giftwrap a present she got for her little brother. how many square inches of giftwrap will be needed to cover a bo
Natalka [10]
Check the picture below.

so.. notice, the box for the gift is really just a rectangular prism, which is really just 6 rectangles stacked up to each other at the edges.

the front and back are two 5x3 rectangles

the left and right are just two 3x7 rectangles

and the top and bottom are just two 5x7 rectangles

so, just get the area of each, sum them up, and that's the area of the rectangular prism and thus of the box, and that's how many in² she will need.

4 0
3 years ago
Wendy and Joyce had the same amount of money. Wendy spent $960 while Joyce spent $2,500. In the end, Wendy had 3 times as much m
julia-pushkina [17]
Each of them started with $4620 at first
7 0
3 years ago
James bought a plant that was 3 inches tall. Each week the plant
sattari [20]

Answer:

1.5 inches/ week

Step-by-step explanation

Given

Height of he plant = 3in

If the plant grows by 2in every week

The rate of change = Height of plant/weekly increase

The rate of change = 3/2 = 1.5 inches/ week

6 0
3 years ago
Find the values of x and y
zhuklara [117]

You can use a tangent:

tangent=\dfrac{opposite}{adjacent}

We have opposite = 17 and adjacent = x.

\tan30^o=\dfrac{\sqrt3}{3}

substitute:

\dfrac{17}{x}=\dfrac{\sqrt3}{3}       cross multiply

x\sqrt3=(3)(17)     multiply both sides by √3

x(\sqrt3)(\sqrt3)=51\sqrt3

3x=51\sqrt3      divide both sides by 3

x=17\sqrt3

Use the Pythagorean theorem:

y^2=(17\sqrt3)^2+17^2\\\\y^2=289(\sqrt3)^2+289\\\\y^2=289\cdot3+289\\\\y^2=867+289\\\\y^2=1156\to y=\sqrt{1156}\\\\y=34

-------------------------------------------------------------------------------------------------

Other method.

30^o-60^o-90^o triangle.

The sides are in the ratio 1:2:\sqrt3\to17:y:x

Therefore

17:(2\cdot17):(17\sqrt3)\to17:34:17\sqrt3\to x=34,\ y=17\sqrt3

 


4 0
3 years ago
Please help ASAP! i will mark brainliest
Kitty [74]

Use two pints on the graph to find the slope:

(0,0) and (5,1)

Slope = Change in Y over the change in x.

Slope = (1-0) / (5-0) = 1/5 = 0.20

The slope of the given equation is 0.25 which is greater than 0.20.

The unit rate is greater in the equation.

8 0
3 years ago
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