A driver travels 120 miles, stops, and then travels ¼ of the distance she has already driven. After stopping again, the driver travels ⅔ of the distance she has already traveled. Now, the entire distance she has driven is 55 miles more than 1 ⅔ of the remaining trip. How many miles does the driver still have to travel?

Answers

Answer 1

Answer:

75 miles

Step-by-step explanation:

We know that she has driven 120 miles before the first stop.

Then she drives for 1/4 of the the distance she has already driven (120 miles). One fourth of 120 is 30.

So now, she's driven for 120 + 30 miles, or 150 miles.

She drives for another 2/3 of the distance she's traveled (150 miles). Two thirds of 150 is 100.

So now, she's driven for 150 + 100 miles, or 250 miles.

What we need to find out now is how much of the trip has she traveled.

We know that the entire distance she has driven is 55 miles more than 1 ⅔ of the remaining trip. So, in other words, the distance she has traveled minus 55 is equal to 1 2/3 of the trip.

To put this in an equation:

250 - 55 = 1 2/3t

t = the whole trip

Now, we solve for t.

250 - 55 = 195

1 2/3 = 5/3

so, 195 = 5/3t

t = 325

We subtract what she has already driven to the total to get the remaining distance.

325 - 250 = 75


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to produce triangle A'B'C'?
A. 0.25
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D. 3

What is the scale factor for the dilation of triangle ABC
to produce triangle A"B"C?
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B. 0.5
C. 2
D. 3

Answers

Answer:

1) B 0.5

2) C 2

Step-by-step explanation:

point A (-2, 2) (0.5) = (-1, 1) A'

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Answer:

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Step-by-step explanation:

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Answers

Answer:

Step-by-step

4 oz = 1/4 pound.

1 casserole requires 1/4 pound

28 casseroles require x

1/28 = 1/4 // x        For ease change 1/4 to a decimal

1/28 = 0.25 / x      Cross multiply

1*x = 28 * 0.25

x = 7

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This is a translation

If p and q vary inversely and p is 15 when q is 17, determine q when p is equal to 51

Answers

Step-by-step explanation:

q is inversely to p and we need to add k as the constant..

then find value of k by sub the value of p and q

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Find the solution to the system of equations.
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- 72 - 2y = 14
ALE
са
6x + 6y = 18
AS
y =
JO
y
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AS
6
5
4
3
2
Со
+2
1 2 3 4 5 6 7
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9514 1404 393

Answer:

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Step-by-step explanation:

It looks like your interactive graphing tool needs you to plot some points on each of the lines. For these lines, it is convenient to use the x- and y-intercepts. Each intercept can be found by dividing the constant by the coefficient of the variable.

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The y-intercept is 14/-2 = -7. Plot (0, -7) on the y-axis.

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The y-intercept is 18/6 = 3. Plot (0, 3) on the y-axis.

__

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Answer:

Step-by-step explanation:

Which expression represents Sushmila's total cost for the supplies 3p-5+2s
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elijan un lugar de su escuela o de su localidad y elaboren un croquis a escala muestren su trabajo a la clase e indiquen que escala utilizaron

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Answer:

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Answers

Yes it’s accurate 70% and 20% you would just multiply
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Answers

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Janell deposits $2,000 and for 5 years leaves it in an account earning 3% annual interest, compounded quarterly. For 5 years, José saves and deposits $150 per quarter in an account earning 3% interest compounded quarterly. Who will have more money in the account after 5 years? How much more?

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Answer:

2%

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how much water should be added to 5 gallons of 50% acid solution to get a 20% solution?

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3 gallons

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Answer:

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Step-by-step explanation:

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itements are true.
Choose all answers that apply:
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B
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o
5
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50
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-pts
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All the statements that are true as regards the proportional relationship of the graph are;

A. The equation represents a proportional relationship

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D. A change of 2 units in x results in a change of 2.8 units in y

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b is the y-intercept.

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B. The unit rate of change of y with respect to x is 1.4;

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y/x = 1.4

C.  The slope of the line is 7/5;

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D. A change of 2 units in x results in a change of 2.8 units in y;

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E.  A change of 3 units in a results in a change of 1.2 units in y;

This means that slope = 1.2/3

This is not equal to our given slope and so is not true.

Read more about Graph proportional relationship at; https://brainly.com/question/12242745

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The method of substitution is likely the best method for which system?

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Answers

Answer:

simultaneous equation

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Answers

Answer:

See below

Step-by-step explanation:

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c. a-q=a+sx for q

d. kx-bf=fy/m for m

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Answers

Answer:

a.

a - q = a + sx

a - a - q = a - a + sx

-q = sx

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x = [tex]\frac{-q}{s}[/tex]

b.

kx - bf = [tex]\frac{fy}{m}[/tex]

m(kx - bf) = m([tex]\frac{fy}{m}[/tex])

mkx - mbf = fy

[tex]\frac{mkx - mbf}{f}[/tex] = [tex]\frac{fy}{f}[/tex]

y = [tex]\frac{mkx - mbf}{f}[/tex]

y = [tex]\frac{mkx}{f}[/tex] - [tex]\frac{mbf}{f}[/tex]

y = [tex]\frac{mkx}{f}[/tex] - mb

c.

a - q = a + sx

a - a - q = a - a + sx

-q = sx

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q = -sx

d.

kx - bf = [tex]\frac{fy}{m}[/tex]

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m(kx - bf) = fy

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m = [tex]\frac{fy}{kx - bf}[/tex]

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Answers

Answer:

Step-by-step explanation:y = 0.6x + 8.2

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