A family has two cars. The first car has a fuel efficiency of 40 miles per gallon of gas and the second has a fuel efficiency of 15 miles per gallon of gas. During
one particular week, the two cars went a combined total of 1625 miles, for a total gas consumption of 50 gallons. How many gallons were consumed by each of
the two cars that week?

Answers

Answer 1

Answer:

first car = 35, second car= 15

Step-by-step explanation:

40x+15y=1625

x+y=50

multiplying the 2nd by -15 and add the 2 equations, we get x= 35 and by substituting on second equation we get y= 15


Related Questions

//5. Use substitution to solve the system of equations
3x - y = 4
2x - 3y = 9
Solution: (
)

Answers

Answer: (3,5)

Step-by-step explanation:

y=3x-4

2x-3y=-9

2x-3(3x-4)=-9

2x-9x+12=-9

7x=21

x=3

y=3(3)-4

y=5

A standardized test is designed so that scores have a mean of 50 and a standard deviation of 4.
What percent of scores are between 46 and 54?

Answers

Answer:

68.3%

Step-by-step explanation:

Using the relation :

Zscore = (x - Mean) / standard deviation

For, x between 46 and 54

Zscore = ((54 - 50) / 4) - ((46 - 50) / 4)

P(Z < 4/4) - P(Z < -4/4)

P(Z < 1) - P(Z <-1)

0.84134 - 0.15866

= 0.68268

= 0.68268 * 100%

= 68.3%

Answer:

A standardized test is designed so that scores have a mean of 50 and a standard deviation of 4. What percent of scores are between 42 and 58?

Step-by-step explanation:

about 95.4%

Kirti bookstore sold books worth Rs.285891 in the first week of june and books worth Rs.400768 in the second week of the month .How much was the sale for two weeks together ? In which week was the sale greater and by how much?

Answers

Answer: A)Sale for two weeks =Rs. 686,659.  b)\Kriti books had greater sales in the second week than the first by Rs.114877

Step-by-step explanation:

Price of books sold in the first week=Rs.285891

Price of books sold in the second  week=Rs.400768

Total Amount of books sold in the two weeks=Rs.285891 +Rs.400768 =

Rs. 686,659.

Fro the question, we can see that Kriti books store has more sales in the second week.

Which is greater than in the first week by Rs.114877

Rs.400768 -Rs.285891 =Rs.114,877

solve for x. round your answer to the nearest tenth
Trigonometry ​

Answers

Answer:

63.5°

Step-by-step explanation:

Reference angle = x°

Opposite = 17

Hypotenuse = 19

Apply the trigonometric function, SOH:

[tex] sin(x) = \frac{Opp}{Hyp} [/tex]

Substitute

[tex] sin(x) = \frac{17}{19} [/tex]

[tex] x = sin^{-1}(\frac{17}{19}) [/tex]

x = 63.474648° ≈ 63.5° (nearest tenth)

Please help! I really don't understand...

Answers

it would be 3 feet but i would say i would only agree if it was rounded up to the nearest tenth place

Find the area, use 3.14 for pi

Answers

Answer:

113.04

Step-by-step explanation:

The formula for the area of a circle is A=(pie)r²

So the equation is 3.14 x 6² = 113.04


Find the area of an equilateral triangle with perimeter 18.

Answers

Answer:

15.59 un²

Step-by-step explanation:

18 ÷ 3 = 6

15.59 un²

Freddy pays $840 per year in
insurance.
How much should he budget
monthly for it?
A) $70
B) $92
C) $140
D) $142

Answers

A)70
Because in 1 year we have 12 months so we divide 840 with 12 we get 70

CAN SOMEONE HELP ME PLS TELL ME THE LETTER ANSWER CHOICE!!!!!!!!!!!!!!!!!!!1;))))))))))))))))))))))

Answers

Answer:

C

Step-by-step explanation:

27÷12=2.25

Each gallon costed 2.25$

Please help me I’ll mark brainliesttt

Answers

Answer:[tex]\sqrt{93}[/tex]

Step-by-step explanation:

Pythagoeraen theorm. 14^2+x^2=17^2

Answer:9.64 is the correct answer

Step-by-step explanation:

By Phythagorean theorem

hypotenuse^2=base^2+altitude^2

(17)^2=(14)^2+(x)^2

289=196+x^2

289-196=x^2

93 =x^2

taking square root on both sides

x=9.64

Plzzz helpppp
Terry has 15 candles. She needs at least 100 candles. The candles she wants are sold in boxes of 8.


What is the least number of boxes of 8 candles that Terry needs to buy?

Answers

Answer:

11 boxes of candles

Step-by-step explanation:

first, set it up as an equation. let x stand for the amount of boxes she needs.

100=8x+15

next, subtract 15 from both sides of the equation.

100-15=8x+15-15

85=8x

then, you need to get x by itself. to do this, divide 8 from both sides of the equation.

85/8=8x/8

x=10.62, but you can't buy half a box, so you have to round up.

so, she needs to buy 11 boxes of candles.

At Nivea's Newsstand, 6 magazines cost $18.00. How many magazines could you buy with $9.00?

Answers

Answer:

3 magazines

Step-by-step explanation:

We will use ratios for this equation:

[tex]\frac{6}{18} =\frac{x}{9} \\\\18x=54\\x=3[/tex]

The number magazines you can buy with $9.00 is 3.

What is the unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given that, at Nivea's Newsstand, 6 magazines cost $18.00.

Cost of 1 magazine is 18/6

=$3

Number of magazine with $9 is 9/3

= 3

Therefore, the number magazines you can buy with $9.00 is 3.

To learn more about the unitary method visit:

brainly.com/question/22056199.

#SPJ2

Simplify this to the lowest form: 2c^2 - 6 + c^2 - 3 + 3c^3

Answers

Answer:

7c^2 - 9

Step-by-step explanation:

2c^2 - 6 + c^2 - 3 + 3c^3

7c^2 - 9

PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!

Answers

Answer:

x = 10, y ≈ 11.2

Step-by-step explanation:

Hi there,

We can find the length x first since we are given the lengths of the other two sides of the bottom right triangle. In order to find the length of x, it is important to know the Pythagorean Theorem and the fact that x is the hypotenuse.

[tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]   ← Pythagorean Theorem

To find x:

[tex]6^{2}[/tex] + [tex]8^{2}[/tex] = [tex]c^{2}[/tex]

100 = [tex]c^{2}[/tex]

c = 10

Therefore, the value of x is 10.

To find y:

We now know the length of two sides of the upper right triangle. The value of y can be found by using the theorem again.

[tex]a^{2}[/tex] + [tex]10^{2}[/tex] = [tex]15^{2}[/tex]

[tex]a^{2}[/tex]  + 100 = 225

[tex]a^{2}[/tex] = 125

a = [tex]\sqrt{125}[/tex]

a = 11.2 when rounded to the nearest tenth.

Therefore, the value of y is approximately 11.2.

Hope this explanation is useful. Cheers.

A hose dispenses 1,413 cm³ of water every minute into a cone with a radius of 60 cm and a height of 150 cm.

How long will it take to fill the cone?

Use 3.14 to approximate pi.

Enter your answer in the box.

min

Answers

Answer: If 1413 cm^3 of water goes every minute into the cone, we have to divide the volume by 1413: 565,200 : 1413 = 400. Answer: It will take 400 minutes.

Step-by-step explanation:

Answer:

400 min

Step-by-step explanation:

Took the quiz

Do you know the answer toPart A: 25% of 50 = Part B: 25% of 60 = Part C: 50% of 60 = Part D: 75% of 60 = Part E: 75% of 30 = Part F: 100% of 22.5 = Part G: 10% of 22.5 = Part H: 50% of 45.7 =

Answers

Answer:

Part A: 25% of 50 = 12.5

Part B: 25% of 60 = 15

Part C: 50% of 60 = 30

Part D: 75% of 60 = 45

Part E: 75% of 30 = 22.5

Part F: 100% of 22.5 = 22.5

Part G: 10% of 22.5 = 2.25

Part H: 50% of 45.7 = 22.85

Step-by-step explanation:

To find - Do you know the answer to

              Part A: 25% of 50 =

              Part B: 25% of 60 =

              Part C: 50% of 60 =

              Part D: 75% of 60 =

              Part E: 75% of 30 =

              Part F: 100% of 22.5 =

              Part G: 10% of 22.5 =

              Part H: 50% of 45.7 =

Proof -

Part A :

25% of 50 =  [tex]\frac{25}{100} *50[/tex] = [tex]\frac{1}{4}*50[/tex] = 12.5

⇒25% of 50 = 12.5

Part B :

25% of 60 =  [tex]\frac{25}{100} *60[/tex] = [tex]\frac{1}{4}*60[/tex] = 15

⇒25% of 60 = 15

Part C :

50% of 60 =  [tex]\frac{50}{100} *60[/tex] = [tex]\frac{1}{2}*60[/tex] = 30

⇒50% of 60 = 30

Part D :

75% of 60 = [tex]\frac{75}{100} *60[/tex] = [tex]\frac{75}{10}*6[/tex] = 45

⇒75% of 60 = 45

Part E :

75% of 30 = [tex]\frac{75}{100} *30[/tex] = [tex]\frac{75}{10}*3[/tex] = 22.5

⇒75% of 30 = 22.5

Part F :

100% of 22.5 = [tex]\frac{100}{100} *22.5[/tex] = 22.5

⇒ 100% of 22.5 = 22.5

Part G :

10% of 22.5 = [tex]\frac{10}{100} *22.5[/tex] = 2.25

⇒ 10% of 22.5 = 2.25

Part H :

50% of 45.7 =  [tex]\frac{50}{100} *45.7[/tex] = [tex]\frac{1}{2}*45.7[/tex] = 22.85

⇒50% of 45.7 = 22.85

The question: Solve This Question 00110001 00100000 01101101 01101001 01101110 01110101 01110100 01100101 00100000 01101001 01101110 01110100 01100101 01110010 01110110 01100001 01101100 01110011

Answers

Answer:

6

Step-by-step explanation:

it's 6 because I said it's 6

I don’t understand thiss

If you see someone who is injured at a workplace, the first thing you should do is _____.
A) call 9-1-1 or your local emergency number
B) begin to administer first aid
C) check the scene for danger
D) try to discover what is wrong with the person
{ The correct answer is C just took the quiz.}

Answers

C. You should never enter an area if it is not safe. If you end up getting hurt, you can’t help anyone else.

Answer:

c

Step-by-step explanation:

Find the new amount.

1. Increase 25 by 24%

2. Increase 120 by 75%

3. Decrease 35 by 60%

4. Decrease 72 by 65%

Answers

1.) 32.89
2.) 480
3.) 14
4.) 25.2

Hope this helps! Can I please have brainliest?

this is a trigonometry question
so SIN COSIN AND TANGENT​

Answers

Answer:

x = 6.71

Step-by-step explanation:

use Pythagoras.......

PLEASE HELP ASAP WILL GIVE BRAINLIST

Answers

Answer:

21 degrees

Step-by-step explanation:

The inscribed angle theorem states that when two cords (lines in a circle) make contact with the circumference of the circle (outer edge), and the two cords do not pass through the center of the circle, then the angle between the two cords is equal to half of the length of its surrounding arc. This means that the measure of arc (WV) is half of the measure of angle (WXV). Therefore, one can form an equation and solve for the length of the arc (WV).

2 (WV) = (m<WXV)

Substitute,

2 (WV) = (42)

Inverse operaitons,

2 (WV) = (42)

/2            /2

(WV) = 21

find the quotient
7 ($49.56

Answers

Answer: 7.08

Reasoning: 49.56 divided by 7 is 7.08

That the wrong answer

Answers

Answer:

what's your question?

Step-by-step explanation:


A (0,0) B(-6,0)
C (-6, 3)
(x,y) - (x + 6, y + 3)

Answers

Answer:

plz send full question

Step-by-step explanation:

according to your book

PLEASE HELP ASAPPP ILL MARK BRAINLY IF CORRECT

Answers

Answer:

I don't really understand this problem from the picture but here is some tips-

Step-by-step explanation:

Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x -axis. The range is the set of possible output values, which are shown on the y -axis.

Use the picture attached. Sorry for not answering the exact question!

Can I get brainliest?

Mrs. Kirsch went shopping at a department store. The store is having a sale, discounting all items by 30% off the marked price. She decides to buy an item originally marked $85.95. She also had to pay 6% sales tax. What is the sales tax on the item? What is the final cost (sale price plus tax) of her purchase?

Answers

Answer:

63.76

Step-by-step explanation:

85.95-30% 60.16

60.16+6% 63.76

what do ducks short necks help them to do? pls help :/

Answers

Answer:

In some circumstances these displays may allow the female to observe the performance of males and to evaluate them as potential mates. To elicit displays from a group of males, a female Mallard may swim with her neck outstretched and her head just above the water

Step-by-step explanation:

hope this helps

HELP ASAP!!!
What is the surface area of a number cube on which each edge has a length of 11 millimeters? (Hint: On a cube, the length, width, and height have the same measure.)

726 mm2
1331 mm2
242 mm2
132 mm2

Answers

Answer:

Its 726 mmSQ

Step-by-step explanation:

the first responce is just doing for points

What are the two types of observations?

Subjective Observation
Data Based Observation
Analysis Observation
Objective Observation

Answers

Answer:

data and analysis djdjdjhdhd

Which statement describes the graph of y + 2 ≥ –4(x – 3)2?
A- a parabola opening up, with shading above the vertex
B- a parabola opening up, with shading below the vertex
C- a parabola opening down, with shading above the vertex
D- a parabola opening down, with shading below the vertex

Its C

Answers

Answer:

c

Step-by-step explanation:

c

The graph of y + 2 ≥ –4(x – 3)² is a a parabola opening down, with shading above the vertex

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

The graph of y + 2 ≥ –4(x – 3)² is a a parabola opening down, with shading above the vertex

Find out more on equation at: https://brainly.com/question/2972832

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