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kherson [118]
2 years ago
6

you are on a 750 mile trip by car . ur car used seven gallons of gas to travel the first 210 miles of the trip. how much more ga

s will u need to make it the rest of the way at the same rate ? show work
Mathematics
1 answer:
stepan [7]2 years ago
6 0

Answer:

A total of 18 gallons of more gas

Step-by-step explanation:

7 gallons = 210 miles

750-210= 540

210*2 =420 miles       7*2=14 gallons

210/2= 105                  7/2=3.5 gallons

525 miles                       17.5 miles

210/14= 15                      7/14=.5 gallons

540 miles                    18 gallons

You might be interested in
How do I apply the distributive property to create an equivalent expression for 4(6 + 6y)
tia_tia [17]

Answer:

24y+24

Step-by-step explanation:

You multiply the number on the outside of the parenthesis with both the numbers on the inside of the parenthesis. The + stays the same.

4*6y=24y

4*6=24

Hope this helps!

4 0
2 years ago
A batch of 40 semiconductor chips is inspected by choosing a sample of 5 chips. Assume 10 of the chips do not conform to custome
butalik [34]

Answer:

a) 658008 samples

b) 274050 samples

c) 515502 samples

Step-by-step explanation:

a) How many ways sample of 5 each can be selected from 40 is just a combination problem since the order of selection isn't important.

So, the number of samples = ⁴⁰C₅ = 658008 samples

b) How many samples of 5 contain exactly one nonconforming chip?

There are 10 nonconforming chips in the batch, and 1 nonconforming chip for the sample of 5 be picked from ten in the following number of ways

¹⁰C₁ = 10 ways

then the remaining 4 conforming chips in a sample of 5 can be picked from the remaining 30 total conforming chips in the following number of ways

³⁰C₄ = 27405 ways

So, total number of samples containing exactly 1 nonconforming chip in a sample of 5 = 10 × 27405 = 274050 samples

c) How many samples of 5 contain at least one nonconforming chip?

The number of samples of 5 that contain at least one nonconforming chip = (Total number of samples) - (Number of samples with no nonconforming chip in them)

Number of samples with no nonconforming chip in them = ³⁰C₅ = 142506 samples

Total number of samples = 658008

The number of samples of 5 that contain at least one nonconforming chip = 658008 - 142506 = 515502 samples

6 0
2 years ago
HELP ME ASAP FOR BRANETEST I MEAN IT >_
Julli [10]

Answer:1 1/6

Step-by-step explanation:

7 0
2 years ago
Help please, will give lots of points!
Troyanec [42]

Step-by-step explanation:

roots as exponents are fractions

if there is no root number next to the radical sign its assumed that its 1/2

3√2 is 2^(1/3)

√3 is 3^(1/2)

4√3 is 3^(1/4)

5√2 is 2^(1/5)

8 0
2 years ago
There are 100 bacteria in a jar. Every day, the number of bacteria increases 25%. In approximately how many days will there be 5
algol [13]

Use compound interest formula

\\ \rm\Rrightarrow P(1+r/100)^t=500

\\ \rm\Rrightarrow 100(1+0.25)^t=500

\\ \rm\Rrightarrow (1.25)^t=5

\\ \rm\Rrightarrow log(1.25)^t=log5

\\ \rm\Rrightarrow tlog1.25=log5

\\ \rm\Rrightarrow t(0.097)=0.3

\\ \rm\Rrightarrow t=3.3\approx 3

Option A

5 0
2 years ago
Read 2 more answers
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