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2 years ago

A car uses 1 1/8 gallons of gas to go 13 1/2 miles. What is the rate of miles per gallon?

Mathematics

1 answer:

IceJOKER [234]2 years ago

7 0

Answer:

1 1/8 ga / 13.5 mi = .0833 ga / mi

1 / .0833 ga/mi = 12 mi / ga

or .0833 ga/mi * 13.5 mi = 1.25 ga

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In class of 30 students 14 are boys. If 2 boys drop out of the class and 2 girls are added what fraction of the class will be bo

Alecsey [184]

30 students.....14 are boys...that means (30 - 14) = 16 are girls

if 2 boys are dropped......14 - 2 = 12 boys
and 2 girls are added......16 + 2 = 18 girls

fraction of the class that are boys is : 12/30 which reduces to 2/5 <==

5 0

3 years ago

Read 2 more answers

2 (Picture) CONVERGENT AND DIVERGENT SERIES PLEASE HELP!!

Ivanshal [37]

Answer:

This series is divergent

Step-by-step explanation:

we are given a series

Firstly, we will find nth term

Numerator:

3, 4, 5,...

so, nth term will be

$a_n=n+3$

Denominator:

4,5,6,....

so, nth term will be

$b_n=n+4$

so, we can find it's nth term as

$c_n=\frac{n+3}{n+4}$

we can use divergent test

$\lim_{n \to \infty} c_n=\lim_{n \to \infty} \frac{n+3}{n+4}$

we can divide top and bottom by n

$\lim_{n \to \infty} c_n= \lim_{n \to \infty} \frac{n/n+3/n}{n/n+4/n}$

$\lim_{n \to \infty} c_n= \lim_{n \to \infty} \frac{1+3/n}{1+4/n}$

now, we can plug n=inf

$\lim_{n \to \infty} c_n= \frac{1+0}{1+0}$

$\lim_{n \to \infty} c_n=1$

Since, it is non-zero value

so, this series is divergent

8 0

3 years ago

2gallon container of window cleaner costs $15.04. What is the price per cup?

jeyben [28]

Answer:0.47 cents per cup

Step-by-step explanation:

Since they’re are 32 cups in 2 gallons, we can divide $15.04 by 32 and get the answer

5 0

3 years ago

PLEASE HELP. What are some facts about the number 99 that would make you like it as your favorite number? Thank you in advance.

GalinKa [24]

1: That if you divide it by 3 you can get 33.
2. It's one away from 100.
3. Some factors are 1, 3, 9, and 11.

5 0

2 years ago

A random sample of 121 automobiles traveling on an interstate showed an average speed of 65 mph. From past information, it is kn

loris [4]

Answer:

95 percent confidence interval for μ is determined by

(60.688 , 69.312)

a) be the same

Step-by-step explanation:

Step (i):-

Given data a random sample of 121 automobiles traveling on an interstate showed an average speed of 65 mph.

The sample size is n= 121

The mean of the sample x⁻ = 65mph.

The standard deviation of the population is 22 mph

σ = 22mph

Step (ii) :-

Given The 95 percent confidence interval for μ is determined as

(61.08, 68.92)

we are to reduce the sample size to 100 (other factors remain unchanged) so

given The sample size is n= 100

The mean of the sample x⁻ = 65mph.

The standard deviation of the population is 22 mph

σ = 22mph

Step (iii):-

95 percent confidence interval for μ is determined by

$(x^{-} - 1.96\frac{S.D}{\sqrt{n} } , x^{-} + 1.96 \frac{S.D}{\sqrt{n} } )$

$(65 - 1.96\frac{22}{\sqrt{100} } , 65 + 1.96 \frac{22}{\sqrt{100} } )$

(65 - 4.312 ,65 +4.312)

(60.688 , 69.312) ≅(61 ,69)

This is similar to (61.08, 68.92) ≅(61 ,69)

Conclusion:-

it become same as (61.08, 68.92)

4 0

3 years ago