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spin [16.1K]
2 years ago
8

Karl drove 617.3 miles. For each gallon of gas the car can travel 41 miles.Select a reasonable estimate of the number of gallons

of gas karl used.
Mathematics
1 answer:
zaharov [31]2 years ago
5 0
Time for fractions!!!

I’m going to set a rate of miles per gallon and then cross multiply to get me answer.

41miles/gallon = 617.3/xgallons

617.3 multiplied by 1 and then divided by 41 = about 15.05 gallons

A reasonable estimate then is 15 and a half gallons, because rather than measuring down to the hundredths, the next closest and reasonable measurement is 15 and a half or under.

Comment if you don’t understand and I’ll try to help.

You might be interested in
Suppose 40% of all college students have a computer at home and a sample of 100 is taken. what is the probability that more than
scoundrel [369]
unlikely   roughtly 40% have computers you cant make up for that other 10 percent
4 0
2 years ago
Two bonds are available on the market as follows: Bond 1: Face value $250, 5 years to maturity at a (simple) interest rate of 5%
tester [92]

The value of r is 5.95%

Step-by-step explanation:

The formula of the simple interest is I = P r t, where

  • P is the initial amount of money
  • r is the interest rate in decimal
  • t is the time

Bond 1:

∵ The face value is $250

∴ P = 250

∵ The value is in the bond for 5 years

∴ t = 5

∵ The simple interest rate is 5%

∴ r = 5% = 5 ÷ 100 = 0.05

∵ I = P r t

- Substitute the values of P, r and t in the rule

∴ I = (250)(0.05)(5) = 62.5

∴ The interest of Bond 1 is $62.5

Bond 2:

∵ The face value is $350

∴ P = 350

∵ The value is in the bond for 3 years

∴ t = 3

∵ The simple interest rate is r

∵ I = P r t

- Substitute the values of P and t in the rule

∴ I = (350)(r)(3) = 1050 r

∴ The interest of Bond 2 is 1050 r

∵ The both bonds yield the same interest to maturity

- Equate the interests of bonds 1 and 2

∵ 1050 r = 62.5

- Divide both sides by 1050

∴ r = 0.0595

- Multiply it by 100% to change it to percentage

∵ r = 0.0595 × 100% = 5.95%

∴ r = 5.95%

The value of r is 5.95%

Learn more:

You can learn more about interest in brainly.com/question/11149751

#LearnwithBrainly

3 0
2 years ago
A delegation of 3 is selected from a city council made up of 4 liberals and 5 conservatives. What is the expected number of libe
miskamm [114]

Answer:

Expected Value = 0.9206

so expected value we expect 1 liberal to be chose

Step-by-step explanation:

given data

delegation = 3 selected

liberals = 4

conservatives = 5

solution

we know that Delegates total 4 liberals 5 conservatives.

so here Probability of getting a liberal is

Probability of getting a liberal = \frac{4}{9}

and

Expected Value will be here

Expected Value = \frac{4}{9}1 + \frac{4}{9} \frac{3}{8}  +\frac{4}{9} \frac{3}{8}  \frac{2}{7} 3

Expected Value = 0.4444 + 0.3333 + 0.1428

Expected Value = 0.9206

so expected value we expect 1 liberal to be chose

3 0
2 years ago
Alfie sells flooring for playgrounds.
dexar [7]

area of playground= 9×15= 135m^2

area of lawn= 3×4=12m^2

total flooring area= 135-12= 123m^2

cost=36×123=$4428

6 0
2 years ago
Solve.<br><br> Round to the nearest hundredth.<br><br> 29.3 = 1.7y
Elena-2011 [213]

Steps to Solve:

29.3 = 1.7y

29.3/1.7 = 1.7y/1.7

y = 17.2352941176

In this case, we round up the hundredths place because the number in the thousandths place is 5 or higher.

y = 17.24

Hope this helps!! :)

7 0
2 years ago
Read 2 more answers
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