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Karo-lina-s [1.5K]
3 years ago
9

Kurt's truck uses 8 gallons of gas to travel 112 miles. He has 4 gallons in the tank. How much more gas will he need to drive 26

6 miles?
A.
19 gallons
B.
14 gallons
C.
16 gallons
D.
15 gallons
Mathematics
1 answer:
Novosadov [1.4K]3 years ago
7 0

Answer: the correct option is D.

Step-by-step explanation:

Kurt's truck uses 8 gallons of gas to travel 112 miles. This means that the number of miles that his truck travels with one gallon of gas would be 112/8 = 14 miles per gallon.

He has 4 gallons in the tank. The number of miles that the 4 gallons would cover is

4 × 14 = 56 miles

If he needs to drive 266 miles, the number of miles left would be

266 - 56 = 210 miles

The number of gallons of gas that would cover 210 miles is

210/14 = 15 gallons

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Lolita deposited 500 in her savings account that earns 5% intrest compounded anually. She forgot about it until now, 15 years la
Sonja [21]

Answer:

P = 1039.5

Step-by-step explanation:

Given:-

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Find:-

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Solution:-

- We see that the principal amount increases every year and no transactions have been made in the course of 15 years.

The total amount left in her savings account would be given by the following formula:

                         P = Po * ( 1 + I/100 )^n

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                        P = 500 * ( 1 + 5/100 )^15

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6 0
3 years ago
This robotic arm is made up of two cylinders with equal volume and two triangular prism hands. The volume of each hand is
BaLLatris [955]

Answer:

\frac{r}{3\pi h+r}

Step-by-step explanation:

Since the height isn't given, we assume it to be "h" (of cylinders). And the answer will be in terms of "r" and "h".

The area of 1 arm is given, so the area of 2 arms would be:

A_{arm}=2*(\frac{1}{2}r*\frac{1}{3}r*2r)=\frac{2r^3}{3}

Now, area of 2 cylinders would be the formula:

A_{cyl}=2*(\pi r^2 h)=2\pi r^2 h

So, total area is A_arm PLUS A_cyl. The fractional area the arms are would be gotten by taking expression A_arm  divided  by A_total.

Shown below:

\frac{A_{arm}}{A_{total}}=\frac{\frac{2r^3}{3}}{2\pi r^2 h + \frac{2r^3}{3}}

We simplify further:

\frac{\frac{2r^3}{3}}{2\pi r^2 h + \frac{2r^3}{3}}\\=\frac{\frac{2r^3}{3}}{2r^2(\pi h + \frac{r}{3})}\\=\frac{r}{3(\pi h + \frac{r}{3})}\\=\frac{r}{3\pi h+r}

THis is the answer.

6 0
3 years ago
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Trava [24]
Answer:
3/10 or 0.3
step-by-step explanation:
2/5 x 3/4
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4 x 5
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7 0
3 years ago
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How do you do this?<br> Please help, I’ve been staring at this for like 10 min :)
damaskus [11]

Answer & Step-by-step explanation:

The formula is given in the middle. You are supposed to insert the value of x into this formula to find the value of y (like in the first given example):

x=-2\\y=2(-2)+5\\y=-4+5\\y=1

------

x=-1\\y=2(-1)+5\\y=-2+5\\y=3

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x=0\\y=2(0)+5\\y=0+5\\y=5

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x=1\\y=2(1)+5\\y=2+5\\y=7

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3 years ago
Please help with this question!!
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3 years ago
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