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3 years ago

Kayla drives 15 miles in 20 minutes. If she drove one hour in total at the same rate,

Mathematics

1 answer:

Rudik [331]3 years ago

3 0

Answer:

45 miles

Step-by-step explanation:

first divide miles/minutes: 15 / 20 = 0.75

then multiply: 0.75 x 60 = 45

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At a bake sale, as student spent $11.00 buying 3 brownies and 5 cookies. His friend spent $3.95 buying 1 brownie and 2 cookies.

riadik2000 [5.3K]

Answer:

$ $$2.25$

Step-by-step explanation:

Let $b =$ the cost of one brownie, $c =$ cost of one cookie

$3b + 5c = 11$

$b+2c = 3.95$

Times $3$ on both sides on the second equation above to get the following:

$3b + 6c = 11.85$

$3b+6c - (3b+5c) = 11.85-11$

$3b+6c-3b-5c = 0.85$

$c = 0.85$

To find the value of $b$ , use substitution:

$b+2c = 3.95$

$b = 3.95-2c$

$= 3.95 - 2\times0.85$

$= 2.25$

$\therefore$ the cost of a brownie is $ $$2.25$

Hope this helps :)

4 0

3 years ago

13p + 5p - 9p -2p=7 what is p

Law Incorporation [45]

Answer:

p=1

Step-by-step explanation:

18p-9p=9p

9p-2p=7p

7p=7

6 0

3 years ago

Find the length of the leg.

g100num [7]

The length of the leg is 5

5 0

3 years ago

I dont under stand these?

Alexeev081 [22]

The first one means what is the smallest number that goes into 12 which would be 4. The second one mean what does not go into 4 and 6 so that would be 8 because 6 is not a multiple of 8.The third one is either 1 or 2 not sure. And the 4th one is little complicated you might want to look up video on prime factorization that can really help you .

8 0

3 years ago

In its Fuel Economy Guide for 2016 model vehicles, the Environmental Protection Agency gives data on 1170 vehicles. There are a

Nady [450]

Answer:

a. 19.68 miles per gallon.

b. 26.32 miles per gallon.

Step-by-step explanation:

Mean gas mileage (μ) = 23.0 mpg

Standard deviation (σ) = 4.9 mpg

In a normal distribution, for any length X, the z-score is determined by the following expression:

$z=\frac{X-\mu}{\sigma}$

In a normal distribution, the 25th percentile (first quartile) of a normal distribution has a corresponding z-score of z = -0.677 and the 75th percentile has a corresponding z-score of z = 0.677

a. The first quartile of the distribution of gas mileage is

$-0.677=\frac{X_{25}-23}{4.9}\\X_{25}=19.68\ mpg$

19.68 miles per gallon.

b. The third quartile of the distribution of gas mileage is

$0.677=\frac{X_{25}-23}{4.9}\\X_{25}=26.32\ mpg$

26.32 miles per gallon.

5 0

3 years ago