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3 years ago

If your car used 19.2 gallons of gas to go 1293.6 miles, how many miles per gallon (mpg) did the car get?

1 answer:

5 0

G=m/x
G-gallons
m-miles
x-miles per gallon
19.2= 1293.6/x
x=1293.6/19.2
x= 67.375mpg
Therefore, the vehicle traveled 67.375 miles to 1 gallon

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Find z if X=27, μ=20, and α=3.4. Round to the nearest hundredth if necessary.

Scrat [10]

Answer:

A. $Z=2.06$

Step-by-step explanation:

We want to find the Z-score of $X=27$ if the population mean is $\mu=20$ ,and the population standard deviation is $\sigma=3.4$ .

We use the formula:

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

We substitute the values to obtain:

$Z=\frac{27-20}{3.4}$

$Z=\frac{7}{3.4}$

$Z=2.06$

The correct answer is A.

7 0

3 years ago

you take a group of 20 people going to the movies. kids’ tickets cost $4 each, and adults tickets $6 each. your total cost is $9

brilliants [131]

The number of kids in your group is 12.

Step-by-step explanation:

Given,

Number of people = 20

Cost of each kid ticket = $4

Cost of each adult ticket = $6

Total spent = $96

Let,

x be the number of kids ticket

y be the number of adult ticket

According to given statement;

x+y=20 Eqn 1

4x+6y=96 Eqn 2

Multiplying Eqn 1 by 4

$4(x+y=20)\\4x+4y=80\ \ \ Eqn\ 3$

Subtracting Eqn 3 from Eqn 2

$(4x+6y)-(4x+4y)=96-80\\4x+6y-4x-4y=16\\2y=16$

Dividing both sides by 2

$\frac{2y}{2}=\frac{16}{2}\\y=8$

Putting y=8 in Eqn 1

$x+8=20\\x=20-8\\x=12$

The number of kids in your group is 12.

Keywords: linear equation, elimination method

Learn more about elimination method at:

#LearnwithBrainly

5 0

3 years ago

When the same whole number is added to both the numerator and denominator of $\frac{2}{5}$, the value of the new fraction is $\f

AVprozaik [17]

Answer:

Correct answer: x = 4

Step-by-step explanation:

If I saw your fractions right it's like this:

(2 + x) / (5 + x) = 2 / 3 => 3 (2 + x) = 2 (5 + x) => 6 + 3 x = 10 + 2 x

3 x - 2 x = 10 - 6 => x = 4

We will check

2 + 4 / 5+ 4 = 6 / 9

When we divide both numerator and denominator

with 3 we get 2/3

God is with you!!!

3 0

3 years ago

Yesterday between nooN And midnight the temperature dropped by 29.6 if the temperature was-5.4 at midnight what was it at noon

Deffense [45]

Answer:

24.2

Step-by-step explanation:

3 0

2 years ago

The area of a rectangular painting is 8613 cm?.

andreyandreev [35.5K]

Answer:

The width is 87 cm

Step-by-step explanation:

The area of a rectangle is given by

A = l*w

8613 = 99 * w

Divide each side by 99

8613 / 99 = 99 w /99

87 = w

The width is 87 cm

3 0

3 years ago

Read 2 more answers