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2 years ago

If a car averages 22 miles per gallon, how many kilometers per liter is this?

Mathematics

1 answer:

kap26 [50]2 years ago

3 0

We have to convert the units. 1 mile = 1.60934km, 1 gallon = 3.78541km

Since it's mile per gallon, we divide the units mentioned above.

1 mile / 1 gallon = 1 km / 1 gallon = 1.60934 / 3.78541 = 0.4251

Now multiply this result as a factor to 22

That is 22 * 0.4251 = 9.3522

So the answer is 9.3522

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6/8 divide by 8/12 A. 9/2 B. 8/9 C. 9/8 D. 9/32

Musya8 [376]

Answer:

C. 9/8

Step-by-step explanation:

$\frac{6}{8} \div \frac{8}{12}$

Use KCF which means Keep the first fraction, Change the second fraction by flipping it and change the division sign to a multiplication symbol:

$\frac{6}{8} \times \frac{12}{8}$

multiply the numerator together:

6 × 12 = 72

multiply the denominator together:

8 × 8 = 64

now the fraction is:

$\frac{72}{64}$

simplify further by dividing both numbers by 8:

72 ÷ 8 = 9

64 ÷ 8 = 8

so the fraction is 9/8

3 0

2 years ago

Suppose you have a mean standardized score of 1100 points with a standard deviation of 100 points. This data is normally distrib

dolphi86 [110]

Using the formula Z = (X - μ) / σ, X being 900, μ being 1100, and σ being 100, we can get the Z-score of -2.

4 0

3 years ago

What is 0.66666666666 as a fraction

stellarik [79]

To turn $0.(6)=0.6666...$ into a fraction you should do such steps:

1 step. Set up an equation by representing the repeating decimal with a variable. Using your example, you will let x represent the repeating decimal 0.(6), so you have x=0.666... .

2 step. Identify how many digits are in the repeating pattern, or n digits. Multiply both sides of the equation from Step 1 by $10^n$ to create a new equation. Again, using your example, you see that the repeating pattern consists of just one digit: 6. Now multiply both sides of the equation by $10^1 = 10$ . Thus, you have $10x = 10 \cdot 0.666...$ or $10x = 6.666....$ .

3 step. Subtract the equation in Step 1 from the equation in Step 2. Notice that when we subtract these equations, our repeating pattern drops off. Therefore, $10x-x=6.666...-0.666...\\ 9x=6$ .

4 step. You now have an equation that you can solve for x and simplify as much as possible, using x as a fraction: $9x = 6$ . If you divide both sides by 9, you get $x=\dfrac{6}{9}$ . When simplified, you get that $x=\dfrac{2}{3}$ .

Answer: $0.(6)=0.666... =\dfrac{2}{3}$ .

8 0

3 years ago

Read 2 more answers

What is the remainder of 6099 divided by 7

tino4ka555 [31]

Remainder of 6099 Divided by 7? The quotient (integer division) of 6099/7 equals 871; the remainder (“left over”) is 2.

8 0

2 years ago

The stadium has 53,000 seats seats sell for $42 in section 8 $36 in section B $30 in section C the number of seats in this in se

Zielflug [23.3K]

Answer:

Section A = 26,500 seats

Section B = 14,900 seats

Section C = 11,600 seats

Step-by-step explanation:

Total seats = 53,000

Total revenue = 1,997,400

Section A seat = $42

Section B seat = $36

Section C seat = $30

The number of seats in this in section A equals the total number of seats in section BNC

A = B + C

A + B + C = 53,000 (1)

42A + 36B + 30C = 1,997,400 (2)

Substitute A = B + C into (1)

A + B + C = 53,000

B + C + B + C = 53,000

2B + 2C = 53,000

2(B + C ) = 53,000

B + C = 53,000 / 2

= 26,500

B + C = 26,500 (3)

Substitute B + C = 26,500 into (2)

42A + 36B + 30C = 1,997,400

Recall,

A = B + C

42( 26,500) + 36B + 30C = 1,997,400

1,113,000 + 36B + 30C = 1,997,400

36B + 30C = 1,997,400 - 1,113,000

36B + 30C = 884,400. (4)

Multiply (3) by 30

B + C = 26,500 × 30

30B + 30C = 795,000 (5)

36B + 30C = 884,400 (4)

Subtract (5) from (4) to eliminate C

36B - 30B = 884,400 - 795,000

6B = 89,400

B = 89,400/6

= 14,900

B = 14,900

From (3)

B + C = 26,500

C = 26,500 - B

= 26,500 - 14,900

= 11,600

A = B + C

= 14,900 + 11,600

= 26,500

Section A = 26,500 seats

Section B = 14,900 seats

Section C = 11,600 seats

8 0

2 years ago