A family has two cars. The first car has a fuel efficiency of 30 miles per gallon of gas and the second car has a fuel efficiency of 15 miles per gallon of gas. During one particular week, the two cars went a combined total of 825 miles, for total gas cumsumption of 40 gallons. How many gallons were consumed by each car

Answers

Answer 1

Answer:

Number of gallons consumed by first car = 15 gallons

Number of gallons consumed by second car = 25 gallons

Step-by-step explanation:

Given that:

Fuel efficiency of first car = 30 miles per gallon

Fuel efficiency of second car = 15 miles per gallon

Total distance traveled = 825 miles

Total gas consumption = 40 gallons

To find:

Number of gallons consumed by each car = ?

Solution:

Let the number of gallons consumed by first car = [tex]x[/tex] gallons

As per question statement, number of gallons consumed by second car:

[tex]40-x[/tex]

Number of miles covered by a car = Fuel efficiency [tex]\times[/tex] Number of gallons consumed

Number of miles covered by first car = 30 [tex]\times[/tex] [tex]x[/tex]

Number of miles covered by second car = 15 [tex]\times[/tex] ([tex]40-x[/tex])

Using the given statement:

[tex]30x+15(40-x)=825\\\Rightarrow 30x+600-15x=825\\\Rightarrow 15x=225\\\Rightarrow x =15\ gallons[/tex]

Therefore, Number of gallons consumed by first car = 15 gallons

Number of gallons consumed by second car = 40 - 15 = 25 gallons


Related Questions

Solve -103 = 6x + 17.

Answers

Answer: x=-20

-103= 6x + 17

-120=6x

-20=x

I need help with this ​

Answers

12
y=27
p=5
a=28
r=32
c=4
q=11
u=5
w=30
z=1
sorry if these are wrong or mixed up

4r + 8 + 5 = -15 - 3r solve for r

Answers

the answer to this equation is purple.

I need help! 6th grade math! ASAP! Only 1 and 3. 10 Points each!

Answers

Answer:

1. (0,5) (16,21) (20,25) (36,41) (55,60)

Step-by-step explanation:

Hope this helped you!! Give brainliest

Answer:

nnrrharthtghgdzhgdhth

Step-by-step explanation:

help lol I'm so unsmart​

Answers

Answer:

0.5

Step-by-step explanation:

5/3 divided by 10/3=5/3*3/10

=1/2=0.5

it should be 0.5 maybe try that lol

Which division problem does the model show? 3 fraction bars. The bars are labeled 1 and each has 3 boxes underneath labeled one-third. 3 divided by one-third = 9 3 divided by two-thirds = 9 9 divided by one-third = 3 9 divided by two-thirds = 3

Answers

Complete Question

Which division problem does the model show? 3 fraction bars. The bars are labeled 1 and each has 3 boxes underneath labeled one-third.

a) 3 divided by one-third = 9

b)3 divided by two-thirds = 9

c) 9 divided by one-third = 3

d) 9 divided by two-thirds = 3

Answer:

a) 3 divided by one-third = 9

Step-by-step explanation:

We are told in the question that:

3 fraction bars. The bars are labeled 1 and each has 3 boxes underneath labeled one-third.

The division problem does the model shows from the description above is calculated as:

3 fraction bars ÷ 1/3

= 3 ÷ 1/3

= 3 × 3

= 9

Hence:

Option a) 3 divided by one-third = 9 is the correct option.

Answer:

3rd one is correct

Step-by-step explanation:

Hdjdndbeiekenen ANSWERRRRREEEEEEEEEEEEEEE

Answers

Answer:

It stays open because |-45.50| > 30

Step-by-step explanation:

Given that :

Balance in Linda's account = - 45.50

If she owes more than $30, her account gets closed

The absolute value of any number returns a positive value of that same number :

Hence,

|-45.50| = 45.50

Comparing the options :

|-45.50| > 30

Once, the account does not fall below - $30, Lindsay's account stays open.

Therefore,

The true statement is ;

It stays open because ;

|-45.50| > 30

plz help me asap i need help plz i will mark you as brainlist

Answers

Answer:

the third one

Please help me with this I’ll give you brainliest points and likes

Answers

Answer:

help with what

Step-by-step explanation:

Mr. Cox owns a seafood market. His shrimp are on sale 3 pounds for $6.00. If Karen buts 10 pounds how much will she pay?
A. $30.00
B. $60.00
C. $20.00
D. $10.00

Answers

Answer:

C. $20.00

Step-by-step explanation:

First, you need to calculate the unit price (per pound). $6.00/3lbs = $2.00/lb. Now, you multiply the unit price by the new amount.  $2.00x10lbs = $20.00

Answer:

it is c  i think

Step-by-step explanation:

The graph for the equation y = 2 x minus 2 is shown below. On a coordinate plane, a line goes through points (0, negative 2) and (1, 0). If another equation is graphed so that the system has one solution, which equation could that be? y = 2 (x + 1) y = 2 (x minus 1) y = 2 (x minus 2) y = negative 2 (x + 1)
THIS IS TIMED

Answers

Answer:

i think it is b correct me if i am rong

Step-by-step explanation:

The correct equation for the solution to be one will be y = 2(x -1) hence, the correct option is (B).

What is a graph?

The link between lines and points is described by a graph, which is a diagrammatic representation of a network. A graph is made up of some points and the distance between two. It doesn't matter how much time the lines are or where the points are located. A node is a name for each constituent in a graph.

For example to draw the equation y = 2x +9 this will draw a straight line in the coordinate geometry.

Given that an equation y = 2x - 2 now another equation draw which should intersect with the line y = 2x - 2 at a single point only so that the system has only one solution.

so the y = 2x - 2 should be matched with any one option.

By cross-checking the option it will be (B) with equation y = 2(x -1).

For more details about the graph

https://brainly.com/question/16608196

#SPJ2

Suppose 56 gallons of water came out of a pipe In 7 minutes.
What was the rate in gallons per minute?

Answers

56/7 = 8
8 gallons per minute

Answer:

8

Step-by-step explanation:

7 x 8 = 56

56 divided by 7 is 8

pls help i need to get a good grade on this final so I can get my pc Best awnser gets brainliest

Answers

Answer:

d

Step-by-step explanation:

hope this helps

Calculate simple interest : $125. 4 years, at 10% interest ..(how much is the interest alone?)

Answers

Answer :$50 is the simple InterestExplaination :

Here we have been clearly given with Principal, time period and rate of interest.

Principal (P) = $125Rate (R) = 10%Time (T) = 4 years

We have to calculate the simple Interest.

As we know that simple Interest is calculated by the formula :

[tex]\pink{\boxed{\sf{S.I. \: = \: \dfrac{P \times R \times T}{100}}}} \: \bigstar[/tex]

Where,

S.I. is simple Interest R is rate of interest T is time

Putting the values :

[tex]: \: \implies \: \sf{S.I. \: = \: \dfrac{125 \times 10 \times 4}{100}} \\ \\ : \: \implies \: \sf{S.I. \: = \: \dfrac{125 \times \cancel{10} \times 4}{ \cancel{100}}} \\ \\ : \: \implies \: \sf{S.I. \: = \: \dfrac{125 \times 1 \times 4}{10}} \\ \\ : \: \implies \: \sf{S.I. \: = \: \dfrac{125 \times 4}{10}} \\ \\ : \: \implies \: \sf{S.I. \: = \: \dfrac{ \cancel{125} \times 4}{ \cancel{10}}} \\ \\ : \: \implies \: \sf{S.I. \: = \: \dfrac{{25} \times 4}{ 2}} \\ \\ : \: \implies \: \sf{S.I. \: = \: \dfrac{{25} \times \cancel{4}}{ \cancel2}} \\ \\ : \: \implies \: \sf{S.I. \: = \: \dfrac{{25} \times 2}{1}} \\ \\ : \: \implies \: \sf{S.I. \: = \: 25 \times 2} \\ \\ : \: \implies \: \red{\bf{S.I. \: = \: 50}} [/tex]

Visit more :

https://brainly.com/question/26734922

how to find radius of the base examples​

Answers

Answer:

r=[tex]\frac{c}{2\pi }[/tex]

Step-by-step explanation:

What is an equation of the line that passes through the points (4, -2) and (8, – 7)?
Put your answer in fully reduced form.

Answers

Answer:

y= -5x/4 + 3

Step-by-step explanation:

To find slope, use the equation [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], so m(the slope) = (-7+2)/(8-4) = -5/4.

Now let us use (4,-2) in the equation [tex]y-y_1=m(x-x_1)[/tex].

So y - (-2) = (-5/4)(x - 4) (equation of the line)

y + 2 = -5/4(x - 4)

y + 2 = -5x/4 + 5

y= -5x/4 + 3 (slope-intercept form, also known as fully reduced form)

You could also use (8,-7) instead of (4,-2).

who wants to help me I need someone. who has a model test can text
me the tests by taking a picture and I will send my phone number please help me I will help u too​ please helpppppppppppppppppp​

Answers

Answer:

fake

Step-by-step explanation:

Answer:

I can help give me your number

Step-by-step explanation:

IM RUNNING OUT OF TIME AND I ONLY HAVE A FEW MINUTES LEFT PLEASE HELP ME!!! IM GIVING 15 POINTS

Answers

Answer:

what is l and multiply l by 4 my guy

Step-by-step explanation:

Answer:

x = 25

<HKL  = 102

Step-by-step explanation:

<LKH + <HKJ = 180 since the two angles form a straight line

<LKH + <HKJ = 180

4x+2 + 78 = 180

Combine like terms

4x+80 =180

Subtract 80 from each side

4x+80-80=180-80

4x= 100

Divide by 4

4x/4 = 100/4

x = 25

<LKH  = 4x+2 = 4*25 +2 = 100+2 = 102

The ratio of plastic bags to paper bags in a grocery store was 5/7. There were 276 bags. How many were plastic bags?

Answers

Answer: 115 bags

Step-by-step explanation: 115/161 eqauls 5/7

Write the equation of the line parallel to the line 3x + 5y = 7 and passes through the point (-1, 3) in standard form.

Answers

5y = -3x + 7
y = -3/5x + 7/5
Parallel = same slope
y = -3/5x + b
3 = -3/5 + b, b = 18/5
Standard form: Ax + By = C
y = -3/5x + 18/5
-3/5x - y = -18/5
Multiply by -5
Solution: 3x + 5y = 18

The Johnson's went to dinner at the local family restaurant. The family meal totaled $45.29. The family left the waitress a standard 15% tip for good service. How much was the tip? Round the answer to the nearest cent. $6.79 ***In the previous problem, if Mr. Johnson just had dollars and quarters to leave for a tip, how many dollars and how many quarters should he leave as a tip?

Answers

Given :

The Johnson's went to dinner at the local family restaurant. The family meal totaled $45.29. The family left the waitress a standard 15% tip for good service.

To Find :

How much was the tip?

If Mr. Johnson just had dollars and quarters to leave for a tip, how many dollars and how many quarters should he leave as a tip?

Solution :

Amount of tip, A = $(45.29×0.15)

A = $6.79.

Number of dollar required is 6.

Number of quarter required is 3.

Hence, this is the required solution.

what do yall want for christmas​

Answers

Answer:

A week of laying in bed eating hot cheetos and watch anime

Step-by-step explanation:

PLS HELP

Channel 9 is wondering if its viewers watch more live TV shows than taped TV shows. They selected all elderly viewers who watched last night's live TV show. Channel 9 conducting this interview would be an example of a _____.

Answers

Answer:

Channel 9 conducting this interview would be an example of a convenience sample.

Step-by-step explanation:

Convenience sampling is a kind of non-probability sampling (i.e. all items does not have an equivalent chance of being selected), which does not comprises of random collection of items.

Convenience sampling is where we take in items which are easy to reach.

For instance, gathering information on customer satisfaction by interviewing 6 randomly selected customers from a local store is an illustration of convenience sampling.

In this case Channel 9 selected a very easily available sample. Since, the elderly viewers are usually retired and can be reached easily either at home or on the phone, the sampling method used is convenience sample.

The expression below represents Brianna’s age in
terms of m, Molly’s age.
3m − 5
Which of the following statements must be true?
A Brianna’s age is 3 less than 5 times Molly’s
age.
B Brianna’s age is 5 less than 3 times Molly’s
age.
C Molly’s age is 3 less than 5 times Brianna’s
age.
D Molly’s age is 5 less than 3 times Brianna’s
age.

Answers

Answer: B. Brianna’s age is 5 less than 3 times Molly age.

Step-by-step explanation:

We are informed that the expression below represents Brianna’s age in

terms of m, Molly’s age.

3m − 5.

This shows that 3m simply means that 3 times of Molly's age while the -5 represent less than 5. This will now be:

Brianna’s age is 5 less than 3 times Molly age.

I need help plz I can't seem to solve this ​

Answers

I would be 1
Because
1 1/3= 4/3
So that leaves you with 4/3 * 3*1/4 which you reduce it so
1/3*3=1*1=1

just get 10 points get some points have fun use them wizely

Answers

Answer:

thank you

Step-by-step explanation:

A hockey player has a total record of 90 points earned based on goals and assists. If his ratio of goals to assists is 7:3, how many goals did he get?

Answers

Answer:

[tex]63[/tex] goals

Step-by-step explanation:

Given information:

Total points earned from goals and assists = [tex]90[/tex]

Goals : assists = [tex]7:3[/tex]

Finding the number of goals:

Goals  [tex]=\frac{7}{3+7}\times90[/tex]

[tex]=\frac{7}{10}\times90[/tex]

[tex]=63[/tex]

∴ The hockey player earned [tex]63[/tex] goals.

Hope this helps :)

The answer: 63 goals

Reason: because it is

Please help really quick, I'll give Brainliest. You only have to do Q1, but more is welcome.

Answers

Answer:

1) 90+30+x=180

x= 60

2) 2x+90=180

x= 45

3) angle SPQ

90+55+ SPQ=180

SPQ= 35

Therefore as op=os=radii= isosceles triangle

angles OPS=OSP

SPQ +QPO=OSP

35 + x = 55

x=20

4)110+ 90+90 +x=360

x=70

5)90 +90 +45+x=360

x=135

hope it helped.

please does anyone know the correct answer choice!?!?

Answers

Answer:

I believe the answer would be b

Step-by-step explanation:

Solve equation 1 for the variable  y  

y = -5x  

 Plug this in for variable  y  in equation

4•(-5x) + 12x = 16

- 8x = 16

Solve equation 2 for the variable  x  

8x = - 16  

x = - 2  

so far we know this

y = -5x

x = -2

Use the  x  value to solve for  y  

 y = -5(-2) = 10

which would give us the answer B

Emma is 10 years old. She asked her father how old he was. Her father answered: "When you will be my age, I will be 70." How old is Emma's father?

Answers

Answer:

Emmas father would be 40 years old

Step-by-step explanation:

if the father is 40 years old right now emma will be his age in 30 years.

in 30 years emma will be as old as he was when she was ten (10+30=40)

after the 30 years emmas father who was once 40 years when she asked how old he was would be 70 years old (30+40=70)

He is 40 years old.

Equation: (f+e)/2 = father's age. Here f=70 and e=10.

So, (70+10)/2 = 80/2 = 40.

Solution can be wrong. But answer is right. Answer is definitely 40 years old

Other Questions
Many things can alter your heart rate including: exercise, diet, nutrition, sugar, and caffeineTrue or false help pls my math teacher is rude In the accompanying diagram of ABC, AB = 6, BC = 8, and AC = 12. Points X, Y, and Z are midpoints of AB, BC, and AC, respectively. Find the perimeter of quadrilateral XYCZ. Question 8 of 15Which of the following distinguishes electromagnetic waves from mechanicalwaves?A. They carry energy.B. They have frequencies.C. They have wavelengths.D. They don't require a medium to travel through. What does a host cell provide for a virus? *O A source of thermal energy.O Protection from the environment.O Mechanisms for genetic replication.O Large molecules as a food source. What did Alexander the Great do once he became king?A. He took control of India.B. He unified the Greek city-states.C. He conquered the Persian Empire.D. He destroyed Macedonias military. Sophia spent $75.00 of her $225.00 paycheck on new shoes. What percent of her paycheck did she spend on the new pair of shoes?Your answer:if you do solve please make an explanation :) Anyone taking Midterms today? :( Jaguar Plastics Company has been operating for three years. At December 31 of last year, the accounting records reflected the following: Cash 23000 Accounts payable 21000 Investments (short-term) 34000 Notes receivable (long-term) 36000Accounts receivable 4200 Accrued liabilities payable 5300 Inventory 26000 Additional paid-in capital 90900 Equipment 49000 Retained earnings 33900Factory building 101000 Notes payable (current) 48,000Intangibles 4100 During the current year, the company had the following summarized activities: a. Purchased short-term investments for $8,400 cash. b. Lent $5,600 to a supplier who signed a two-year note. c. Purchased equipment that cost $23,000; paid $5,600 cash and signed a one-year note for the balance. d. Hired a new president at the end of the year. The contract was for $87,000 per year plus options to purchase company stock at a set price based on company performance. The new president begins her position on January 1 of next year. e. Issued an additional 1,400 shares of $0.50 par value common stock for $11,000 cash. f. Borrowed $16,000 cash from a local bank, payable in three months. g. Purchased a patent (an intangible asset) for $1,900 cash. h. Built an addition to the factory for $30,000; paid $8,100 in cash and signed a three-year note for the balance. i. Returned defective equipment to the manufacturer, receiving a cash refund of $3,100. Required: Post the current year transactions to T-accounts for each of the accounts on the balance sheet. 6th grade math i mark as brainliest Y en pasado igual por fa The benefits of good nutrition include which of the following?A) All of the above.B) Give you energy to keep going.C) Give your body food for growth.D) Keep you healthy. l __un cuento ayer.O A. leerO B. leiO C. leasO D. ley NEED HELP NOW!!!!!!!!!!!!!!!!!!!!!!!!!!WILL AWARD BRAINEST!!!!!!!!!!!!!!!!!!!!!!On a coordinate plane, 2 straight lines are shown. The first solid line has a negative slope and goes through (negative 2, 3) and (0, negative 1). Everything to the left of the line is shaded. The second dashed line has a negative slope and goes through (0, 2) and (1, 0). Everything to the right of the line is shaded.Which inequality pairs with y2x1 to complete the system of linear inequalities represented by the graph?y 2x+2y 2x2 How does Lin-Manuel Miranda inaccurately portray history in the musical? HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!Which event represents the climax of "The Tell-Tale Heart"?Select one:a. The narrator begins to believe that his victim is still alive under the floor.b. The police show up to ask questions about sounds heard by the neighbors.c. The narrator sees the milky blue eye staring at him from the bed night after night.d. The main character sneaks into the old man's room and kills him. 4x + y = 0y-interceptSubmit can you show me how to work out the problem Last year's cost, c, of a water park season pass increased 35%. The expression C+0.35c can be used to represent the increased price of a season pass. What is another expression that can be used to find the the new cost of a season pass? For a scene in a movie, a stunt driver drives a 1700 kg pickup truck with a length of 4.45 m around a circular curve with a radius 0f 0.355 km. The truck is to complete a semicircle, jump across a gully, and land on the other side 3.00 m below and 10.5 m away. What is the minimum centripetal acceleration the truck must have going around the circular curve so that the entire truck will clear the gully and land on the other side