A type of electric car can travel 5 on 1 kilowatt hour of electricity. How many kilowatt hours of electricity would it take Helen to drive her electric car to her aunts house and​ back? Helen lives 70 miles from her aunt.

Answers

Answer 1

Answer:

28 kwh

Step-by-step explanation:

given that the care can travel 5 miles on 1 kwh, i.e

5 miles travelled -----> uses 1 kwh

hence to find the unit rate:

1 mile travelled ----> Uses 1 kwh ÷ 5 = 1/5 kwh

We are also given that Helen lives 70 miles away from her aunt.

Hence a return trip (i.e "to aunts house and back"), will be 70 x 2 = 140 miles

using the unit rate that we found above, we can find the number of kwh that is used to travel 140 miles

140 miles = 140 miles x unit rate

= 140 x 1/5

= 28 kwh


Related Questions

Two pairs of socks and a pair of slippers cost $30. Five pairs of socks and a pair of slippers cost $42. Let u

represent the cost of a pair of socks and let y represent the cost of a pair of slippers.

Identify the system of equations that represents the situation and identify the solution to the system of equation.

Answers

Answer: See explanation

Step-by-step explanation:

The information given in the question can be turned into an equation as:

2u + y = 30 ........ i

5u + y = 42 ........ ii

Subtract i from ii

3u = 12

u = 12/3 = 4

A pair of socks cost $4

Since 2u + y = 30

2(4) + y = 30

8 + y = 30

y = 30 - 8 = 22

A pair of slippers cost $22

How many mathematicians discovered the Law of Sines?

Answers

If two sides and a angle are given, then this can be used to find a second angle. With being given the measurements of two sides and an angle, this could result in one or two triangles. Johannes von Muller was the one who was discovered the Law of Sines

I need help please and thank you​

Answers

Answer: The answer is D because all the other statements are false but DAB is equal to BCD

What is the measure of angle P?

Answers

Answer:

60

Step-by-step explanation:

step 1: 180°-130°= 50

step 2: 180-110= 70

step 3: 70+50= 120

step 4: 180°-120°= 60

What is the value of ?
86°
84°
?
360
Helpppo !

Answers

All angles in a triangle measures 180 degrees

Add all the angles in triangle 2

84 + 36 = 120

The angle that is divided between triangle 1 and 2 measures 90 degrees so we are gonna add it to the total of triangle 2

120 + 90 = 210

Because no angles in a triangle measures 210 we are gonna subtract 180 from .

210 - 180 = 30

The missing angle in the second triangle is;

180 - 120 = 60 degrees

The total we got after subtracting 180 from 210 is the missing angle for the divided side of triangle 1.

Now that we have 2 angles we can now find “?”

To find “?” we are gonna add the two angles we have and subtract it from 180.

86 + 30 = 116

180 - 116 = 64

Therefore “?” is equal to 64 degrees.

What is the value of x and y?

Answers

Answer:

8x, 5y

Step-by-step explanation:

a dunno if thats wha ya meant but theres already an answer filled in there a think

If 4 cooks can prepare a buffet in 15 mins how long would it take 6 cooks

Answers

Answer:

it will probably take the same amount of time since they are cooking the same amount and the food doesn't take any less to cook if there's more people but they could tidy and bring the food out faster but the time to cook the food will remain the same.

Which of the following are valid names for the triangle below? Check all that
apply.

A. A MODE
1 B. ARM
C. ASEM
DD. AMRD
E. ARMO
F. ADMR

Answers

The answer would be c ASEM

Plz help !!!
I’ll give crown you

Answers

Answer:

n(a): 6

n(a b): 4

n(a c) : 10

n (a b c): 8

n (a b c): 8

n (a b c): 8

Hope it helps :) Brainliest pls

Order the following ratios from least to greatest: 3/4,2:3,5 to 6

Answers

Answer:

2:3; 3/4; 5 to 6

Step-by-step explanation:

✩brainliest appreciated✩

What is the value of y=5x+3 when x = 3

Answers

Answer:

y = 5(3)+3

= 15 +3

= 18

y = 18

hope it's helpful ❤❤❤❤

THANK YOU.

IF ANSWER IS RIGHT I WILL MARK BRAINLIEST The length of one side, s, of a shipping box is s ( x ) =cube root of 2x , where x is the volume of the box in cubic inches. A manufacturer needs the volume of the box to be between 108 in.3 and 256 in.3. What are the minimum and maximum possible lengths of s?

Answers

Answer:

6 in and 8 in

Step-by-step explanation:

Given

The length of the side:

s = ∛2x

Volume of the box:

x

The volume is between 108 in³ and 256 in³:

∛(2*108) ≤ s ≤ ∛(2*256)∛216 ≤ s ≤ ∛5126 ≤ s ≤ 8

As above, the minimum length is 6 in and maximum length 8 in

Questions 5-8 I'm very confused on this Determine which tables are linear and tell me the slope for each

Answers

What’s the question?? Than I can help you

Apply the Pythagorean Theorem to find the distance between points A and C.
A)
129 units
B)
V40 units
C)
158 units
D)
V116 units

Answers

Answer:

a

Step-by-step explanation:

PLS HELP ME ASAP I DONT HAVE TIME. IT ALSO DETECTS IF ITs RIGHT OR WRONG.

Answers

Answer:

It should be C because of the given information is just (any) x 2

Step-by-step explanation:

Write the equation of the line that is parallel to y+2=5(x-1) and passes through the point (-1, 0)

Answers

Answer:

Step-by-step explanation:

slope of required line=5

point is (-1,0)

reqd. eq. of line is

y-0=5(x-(-1))

y=5(x+1)

y=5x+5

In ΔKLM, l = 2.4 inches, m = 4.2 inches and ∠K=159°. Find the length of k, to the nearest 10th of an inch.

Answers

Answer: 6.5

Step-by-step explanation: just trust me

The length of side k is approximately 6.56 inches.

What is Law of Cosines?

A planar triangle's side's square is equal to the sum of the squares of the other sides minus the product of those sides and the cosine of the angle between them, divided by two.

We can use the Law of Cosines to find the length of side k:

k² = l² + m² - 2lm cos(K)

where K is the angle opposite side k.

In this case, we have l = 2.4 inches, m = 4.2 inches, and K = 159°. Substituting these values into the formula, we get:

k² = (2.4)² + (4.2)² - 2(2.4)(4.2)cos(159°)

Using a calculator to evaluate the cosine, we get:

k² = 5.76 + 17.64 - 19.96(-0.987688)

k² ≈ 43.11

Taking the square root of both sides (and rounding to the nearest tenth), we get:

k ≈ 6.56 inches

Therefore, the length of side k is approximately 6.56 inches.

To learn more about the law of cosines;

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Damell had 27 coins in his pocket. He lost some. Write an expression that shows how many coins Darell lost.
A.27 -
B. n - 27
C. 27+n
D.n+27

Answers

Answer:

esl b comafio   qe vasu  slair beniaen

Step-by-step explanation:

The area of a triangle is formed by points of intersection of parabola y=a(x-3)(x+2) with the coordinate axes is 10. Find A if it is known that parabola opens upwards

Answers

Answer:

2/3

Step-by-step explanation:

Answer:

a=2/3

Step-by-step explanation:

1. y=a(x-x1)(x-x2) is a formula for a parabola, x1 and x2 being points where y=0 so in the equation y=a(x-3)(x+2), you know

x1=3, x2=-2

2. Find distance between 3 and -2, which is 5

3. bh/2=A --> 5h/2=10 --> h=4  (h is height)

4. when x=0, y=-6a, y=a(0-3)(0+2)

5. because parabola opens upward, the point of the vertex must be (_, -4)

6. -6a= -4

     a=2/3

The graph represents the amount of money Sal earns for babysitting.

Graph where the x- axis gives time in hours and runs from zero to three and beyond. The y- axis gives earnings in dollars and runs from zero to twenty four and beyond. A straight line intersects the axes at (0, 0). Its coordinates are (5, 4), (1, 8), (1.5, 12), (2, 16), and (2.5, 20)

Part A
What does the ordered pair (2.5, 20) represent in the situation?
A. $2.50 for 20 hours
B. $1 for 0.125 hours
C. $0.125 for 1 hour
D. $20 for 2.5 hours
Part B
Does the graph represent a proportional relationship? Explain.
A.
Yes. The line passes through the origin.
B.
Yes. The line has a variable rate of change.
C.
No. The slope is not constant.
D.
No. The line has a y-intercept greater than 0.
Part C
What is the linear equation represented by the graph?
A. y = 20x + 2.5
B. y = 2.5x + 20
C. y = 8x
D. y = 0.125x

Answers

Answer: d, a, and c

Step-by-step explanation:

Part(A)

The ordered pair (2.5, 20) represents $2.50 for 20 hours. the correct option is A.

Part(B),

Yes. the line passes through the origin. The correct option is A.

Part(C),

The linear equation represented by the graph is y = 8x. The correct option is C.

What is an equation of the line?

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line:-

y = mx + c

m = slope

c = y-intercept

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given that coordinates are (0.5, 4), (1, 8), (1.5, 12), (2, 16), and (2.5, 20).

Part(A),

The ordered pair (2.5,20) represents that the earning is $20 for the work of 2.5 hours.

Part(B),

The slope of the line will be calculated as,

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Slope = ( 8 - 4 ) / ( 1 - 0.5 )

Slope = 4 / 0.5

Slope = 40 / 5

Slope = 8 hours

The y-intercept is calculated as,

y = mx + c

16 = ( 2 x 8 ) + c

c = 16 - 16

c = 0

Hence, the line passes through the origin.

Part(C),

The equation of the line will be written as,

y = mx + c

y = 8x + 0
y = 8x

To know more about an equation of the line follow

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The Pythagorean Theorem Homework What is the side length of the triangle? 10 cm. 26 cm.​

Answers

A^2 + B^2 = C^2
(10)^2 + (26)^2 = C^2
100 + 676 = 776
Square root of 776cm = 28.86cm rounded

help anyone?
i will give brainliest

Answers

They are exactly the same just on different Quadrants.

Answer:

Use desomos i can drop a link for you that will help all your graphing problems

Step-by-step explanation:

Go to desmos . com  slash calculator!

Please help!! I don’t understand how to solve this

Answers

Answer:it is c

Step-by-step explanation:

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Explain why you cannot factor the trinomial x2 – 15x + 3

A. There are no factors of 3 that add up to -15

B. It can be factored

C. There are no factors of -15 that add up to 3.

Answers

Answer:

there are no factors of -15 that add up to 3

Answer:

It is A trust me

Step-by-step explanation:

how do you even do this???

Answers

Tell whether the product of Prxs and Q5x3 is defined. If so, give the dimensions of PQ.

undefined
defined; 7 x3
defined; 3 x 7
defined; 5 x 5

Dell Tim and tommy ordered a pizza that was cut into 12 pieces dell had one piece Tim had 3 pieces and tommy had 4 pieces how much of the pizza did they eat

Answers

Answer: they had 7/12 or 7 slices out of 12 slices

Step-by-step explanation:

7 is a prime number so you can't a simplify the fraction and the denominator is 12 and 3 plus 4 is 7 which is the numerator

Alana is buying bottled water for a class trip. She has 16 bottles left over from the last trip. She buys bottles by the case to get a good price. Each case holds 24 bottles. How many cases will she have to buy if she wants to have a total of 160 bottles of water?

Answers

160/24= 6.6
24x6= 144
144+16= 160
She will need 6 cases of water

please help I'm so confused pls look at picture ​

Answers

Answer and Step-by-step explanation:

Hello!

You are told to round the number to the nearest whole number.

That means if the decimal is lower than 5 in the tenths place, the number would round down, and if the decimal is equal to or higher than 5 in the tenths place, the number would round up.

[tex]5\frac{5}{6}[/tex] is equal to 5.833. The number 8 is greater than 5, so the number rounds up to 6.

[tex]6\frac{1}{9}[/tex] is equal to 6.111. The number 1 is less than 5, so the number rounds down to 6.

Now we have the equation n - 6 = 6.

We solve for n.

Add 6 to both sides.

n  =  12

n is equal to 12.

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Maria calculate that she could make 18,000 over the summer instead she ended up making 15,000 what is the percentage difference? round your answer to the nearest percent

Answers

Answer:

20%

Step-by-step explanation:

Maria calculate that she could make 18,000 over the summer instead she ended up making 15,000 what is the percentage difference? round your answer to the nearest percent

The formula for Percent difference =

Difference/ Original value × 100

Difference is calculated as:

18000 - 15000 = 3000

Original value = 15000

Hence:

3000/15000 × 100

= 20%

Percent difference = 20%

35/16 as a percentage to the nearest 10th

Answers

Answer:

35/16 × 100= 875/4% = 218.75 %

Decimal form ≈ 2.2

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