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Answer:

Fuel efficiency of first car = 30 miles/gallon

Fuel efficiency of second car = 25 miles/gallon

Step-by-step explanation:

Given that:

Fuel consumed by first car = 40 gallons

Fuel consumed by second car = 15 gallons

Total distance drove by the two cars combined = 1575 miles

Sum of their fuel efficiencies = 55 miles/gallon

To find:

The fuel efficiencies of each of the cars = ?

Solution:

Fuel efficiency of a car is defined as the ratio of distance traveled in miles to the number of gallons used by the car.

Let the distance traveled by first car = [tex]x[/tex] miles

So, the distance traveled by other car = (1575 - [tex]x[/tex]) miles

Fuel efficiency of first car = [tex]\frac{x}{40}[/tex] miles/gallon

Fuel efficiency of second car = [tex]\frac{1575-x}{15}[/tex] miles/gallon

As per given question statement:

[tex]\frac{x}{40}+\frac{1575-x}{15}=55\\\Rightarrow 15x+1575\times 40-40x=55\times 40 \times 15\\\Rightarrow 25x=30000\\\Rightarrow x =1200\ miles[/tex]

Distance traveled by first car = 1200 miles

Fuel used by first car = 40 gallons

So, fuel efficiency of first car = [tex]\frac{1200}{40} = \bold{30\ miles/gallon}[/tex]

Distance traveled by second car = 1575 - 1200 = 375 miles

Fuel used by second car = 15 gallons

So, fuel efficiency of second car = [tex]\frac{375}{15} = \bold{25\ miles/gallon}[/tex]

Answer:

They are right! Great job!!

Answer:

what grade are you in

Step-by-step explanation:

Answer:

h(7+h)

Step-by-step explanation:

You would need to factor the h out of ([tex]7h+h^{2}[/tex])

116=$0.05

hope this helps

The total cost of chocolate sprinkles is $800

This is an implementation of the numeral system that shows the value of each digit in a number using their positions

Given that, Chocolate sprinkles cost as much per pound as sugar.

From the complete question, we have the following parameters:

Unit rate = $8.00

Total pounds = 100

Total cost of chocolate sprinkles

So, the total cost of chocolate sprinkles is calculated using the following formula;

Unit = Total / Pounds

This gives

$8.00 = Total / 100

Total = $800

Hence, the total cost of chocolate sprinkles is $800

Read more about place value charts at:

brainly.com/question/12386995

#SPJ5

Answer:

2n+2*3-6n

(-2*-3)+4n-(4n*2)

Answer:

All are in the picture

Step-by-step explanation:

lmk if you'd like me to explain more on any of them :)

Answer:

(0, - 7 )

Step-by-step explanation:

Under a reflection in the x- axis

a point (x, y ) → (x, - y ), thus

(0, 7 ) → (0, - 7 )

Answer:

The ration of the number of gallons of green paint to the number of  tan paint Collins used is 1 is to 2

Step-by-step explanation:

The given parameters are;

The number of gallons of tan paint = 2 gallons

The number of gallons of blue paint = 5 gallons

The number of gallons of green paint = 1 gallons

Therefore, the ration of the number of gallons of green paint to the number of  tan paint Collins used = (The number of gallons of green paint Collins used):(The number of  tan paint Collins used) = 1 gallons:(2 gallons) = 1:2

The ration of the number of gallons of green paint to the number of  tan paint Collins used = 1 is to 2.

Answer:

2 - n

Step-by-step explanation:

I hope this helps!

Answer:

Step-by-step explanation:

175 ÷ 5 = 35

$35 per ticket

Answer:

35

Step-by-step explanation:

It's cuz you want to know how much one ticket costs right?

Sp do 175 divded by 5

You should get 35 as the answer!

Answer:

y = x - 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 1 , thus

y = x + c ← is the partial equation

To find c substitute (1, 0) into the partial equation

0 = 1 + c ⇒ c = 0 - 1 = - 1

y = x - 1 ← equation of line

Answer:

rewrite what as the unit rate?

Step-by-step explanation:

What is the question

Answer:

7.0 m/s

Step-by-step explanation:

Use the formula vf^2 = vo^2 + 2*a*d

since the rock is dropped, its initial velocity is zero:

vf^2 = 2*9.8*2.5 = 49

vf = 7.0 m/s

B. 7.0 m/s

notice how they tried to trick you with E.

Answer:

B. 7.0

Step-by-step explanation:

i got it right on my test

Answer:

i know i stole im trying to level up sorry

Step-by-step explanation:

Answer:

Step-by-step explanation:

iuef ousdfsbhhdfsd

Answer:

9

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

AnswerX=9

Step-by-step explanation:

6x-42=39-3x

Answer:

A

Step-by-step explanation:

The coordinate is in the form (x,y) so the x-coordinate would be 6

Answer:

Step-by-step explanation:

its 9

Answer:

AC ≈ 7.6 cm

Step-by-step explanation:

I've attached a drawing of this problem below as a visual aid.

We know that this is a right triangle (one of the angles is 90°), one of the other angles (mA) is 33°, and the hypotenuse (AB) is 14 cm. We need to calculate the length of one of the other sides. We can use sine, cosine, or tangent.

Remember SOHCAHTOA?

→ soh (Sine = Opposite / Hypotenuse)

→ cah (Cosine = Adjacent / Hypotenuse)

→ toa (Tangent = Opposite / Adjacent)

The side we want to calculate happens to be adjacent to the angle mA (33°). So, we use cosine. We put in the values we know and solve for x, the missing side:

→ sin(33°) = [tex]\frac{x}{14}[/tex]

→ x = sin(33°) × 14

→ x ≈ 7.6

The length of AC is 7.6 centimeters.

Answer:

Option 3

Step-by-step explanation:

3/2 times x - 3 = y can also be:

y=3/2 times x-3

-3 is the y-intercept. This is one of the points, (0,-3).

Now, you need to solve for x. Say y equals 0.

3/2 times x-3 will equal 0.

3/2 times 2 = 6/2 which equals 3. You can solve the equation now.

3/2 times 2 - 3 = 0

2 is the x-intercept. This is the other point in the line, (2,0).

So the answer is Option 3

Answer:

$0.8

Step-by-step explanation:

dozen=12

$3.60=12 donuts

$3.60/12= 0.8

$0.8

Answer:

19

Step-by-step explanation:

1. Subtract and divide. 9 - 3 is 6, and 6 divided by 1/3 is 18, because whenever you divide by a fraction, you multiply by the reciprocal.

2. Add. 18 + 1 is 19.

Answer:

1/8

Step-by-step explanation:

Rate is the change of a quantity per unit time

We are told Sarge completed 1/10 of his report in 4/5 of an hour.

We are going to equate the rate at 4/5hour to that of 1hour to get how much of the report Sarge will complete in 1 hour

(1/10)/x=(4/5)/1

0.10/x=0.8

Make x subject of the formula we have

X=1/8

Hence 1/8 of the report needed to be completed

[tex]\Large{\boxed{\tt{600 \: Students}}}[/tex]

best of luck! ^_^

Answer:

a. is equal.

Step-by-step explanation:

18+18 is 36 and 1+1 is 2. the other questions are not equal.

Hope this helps!

Answer

18/36 = 1/2

13/5 > 7/10

3/5 > 5/9

3/8 < 10/16

Answer:

7.5 miles per gallon

Step-by-step explanation:

Given that:

8 gallons of gasoline traveled 340 miles

After being worked on by the mechanic :

7 gallons travels 350 miles

How many more miles per gallon did Darnell's car travel after the mechanic worked on it?

Obtain the unit mile traveled per gallon before and after the mechanic worked on the car :

Miles per gallon before being worked on by mechanic :

340 miles / 8 gallons = 42.5 miles per gallon

Miles per gallon after being worked on by mechanic :

350 miles / 7 gallons = 50 miles per gallon

(50 - 42.5) = 7.5 miles per gallon

Hence, vehicle moved 7.5 more miles per gallon after bwing worked on by mechanic.

Answer:

I think its is the 3 one if multiple choice then 3 and 4

Answer: The dollar value of the raffle prize = 300

Step-by-step explanation:

Given: The equation T - 6P = 100 describes this relationship, where T is the expected number of tickets sold, and P is the dollar value of the raffle prize.

If T =1900

Then,

[tex]1900-6P=100[/tex]  [Put T=1900 in given equation]

[tex]\Rightarrow\ 6P=1900-100\\\\\Rightarrow\ 6P= 1800\\\\\Rightarrow P=\dfrac{1800}{6}\\\\\Rightarrow\ P=300[/tex]

Hence, the dollar value of the raffle prize = 300