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


Related Questions

Magnesium has a charge of +2, and chlorine has a charge of –1. To form a chemical bond, how many magnesium ion(s) would the compound have?

A) 0
B) 1
C) 2
D) 3

Answers

In a chemical bond, the charges are balanced - neutral. This means that if we have a charge of +2 we will need a charge of -2 to cancel it out.

This means we need 1 magnesium ion and 2 chlorine ions.

Answer: B) 1

Hope this helps!

HELP ME
WHATS THE PERIMETER

Answers

Answer:

12

Step-by-step explanation:

divid half of line

Answer:

Perimeter = 60

Step-by-step explanation:

In order to find the perimeter of the given triangle, we must first determine the value of the missing side. We can use the Pythagorean Theorem to find the missing side of the given right triangle.

According to the Pythagorean Theorem: c² = a² + b², where c is the hypotenuse (the side that is opposite of the right angle, 90°), and a and b represent the legs of the triangle. Use the formula to solve for the missing side. Rearrang the formula to isolate the variable, a:

a² + b²  =  c²

Subtract b² from both sides:

a² + b² - b² =  c² - b²

a² =  c² - b²

Next, substitute the given values into the formula:

c (hypotenuse) = 26

b (leg) = 24

a² =  c² - b²

a² =  (26)² - (24)²

a² = 676 - 576

a² = 100

[tex]\sqrt{(a)^{2}} = \sqrt{100}[/tex]

a = 10

The value of the missing side is 10.

Now, we can solve for the perimeter of the triangle:

P = a + b + c

P = 10 + 24 + 26

P = 60

Therefore, the perimeter of the given right triangle is 60.

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

−8x−2y=18x−2y=5


2x+y=103x+2y=5


5x−2y=32x+2y=1


−3x+2y=93x−5y=4

Answers

Answer:

simultaneous equation

(10 points!!!) AND I’LL GIVE YOU BRAINLIEST IF CORRECT


I ALREADY KNOW THE ANSWER I JUST WANT THE EXPLANATION!!

The answer is ( Jose, $901.31 more)

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?

Use the table to answer:

Answers

Answer:

2%

Step-by-step explanation:

itements are true.
Choose all answers that apply:
The equation represents a proportional relationship.
B
The unit rate of change of y with respect to z is 1.4.
o
5
The slope of the line is
7
50
A change of 2 units in I results in a change of 2.8 units in y.
-pts
A change of 3 units in a results in a change of 1.2 units in y.

Answers

All the statements that are true as regards the proportional relationship of the graph are;

A. The equation represents a proportional relationship

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

C.  The slope of the line is 7/5

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

What is the proportional relationship of the graph?

The slope intercept form of the equation of a straight line is;

y = mx + b

where;

m is the slope.

b is the y-intercept.

Since the equation is given as y = 1.4x, then the slope is 1.4 and the y-intercept is 0.

A. The equation represents a proportional relationship;

This is true since the equation because y is always 1.4 times as large as x from the given equation relationship.

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

This is true because when we divide both sides by 1.4, we will get;

y/x = 1.4

C.  The slope of the line is 7/5;

This means that the slope is 7/5 = 1.4. This is same as the slope given and it is true.

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

This means that the slope is 2.8/2 = 1.4. This is same as the slope given and it is true.

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

#SPJ1

Plss answer I give you branlistb​

Answers

1) 30
2) 132
3) 1
4) 4
5) 12

if 50% of a number is 170 and 20% of the same number is 68, find 70% of that number.

Answers

Yes it’s accurate 70% and 20% you would just multiply
If 50% of a number is 170, that means the number must be double 170 (170 times 2)

And 170 multiplied by 2 is 340.

Therefore, the number is 340. Now we have to find 70% of 340.

We can do that by: taking 340 times 0.70

So 340 times 0.70 is..

238

Hope that helped!

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

Answers

Answer:

pls ask the question in english pls i don't understand it

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

after that sub the value of k and p to find q

Convert 244 16 to decimal:

Answers

Answer:

15.25 is your answer

Step-by-step explanation:

Answer:

I know it’s already been answered but I got 15.25

Step-by-step explanation:

Which expression represents Sushmila's total cost for the supplies 3p-5+2s
3p+2(s-5)
3(p-5+2s)
3(p-5)+2s

Answers

Answer: its a

Step-by-step explanation: its the same answer

Answer: the answer is 3(p - 5) + 2s

Step-by-step explanation:

its the only answer there that makes since and hope this helps im kinda bad at algebra but this was easy

Fill in the blank with a number to make the expression a perfect square.

y^2 + 6y + ?

Answers

Answer:

(y+3)^2 - 9

Step-by-step explanation:

James made $85.00 in 2 weeks mowing yards. He spent 20% of that buying new tools. How much did he spend on tools? *
10 points
A $15
B $20
C $17
D $14
Answer asap please!

Answers

Answer: c 17

Step-by-step explanation:

Easy

Answer:

C. $17

Step-by-step explanation:

85 x (1/5) = 17

Can you help please?

Answers

Answer:

Step-by-step explanation:

A tank has a capacity of 10 gallons. When it’s full it contains 12% alcohol. How many gallons must be replaced by a 36% alcohol solution to give 10 gallons of 15% alcohol solution?

Answers

Answer:

Ie e did I

Step-by-step explanation:

djdusudusis

Helppppp Pleaseeeeeee

Answers

Answer:

what is the question

Step-by-step explanation:

A statue in a harbor is approximately 295 feet tall. If the angle of the elevation of a ship to the top of the statue is 21.7 degrees, how far is the ship from the statue’s base?

Answers

Answer:

741.3 feet if rounding to the nearest tenth

Step-by-step explanation:

You will do 295/tan21.7 which gives you approximately 741.3 feet

Pls Help! Worth 8 Points Will Give Brainlest ​

Answers

Answer:

D. x - 5

Step-by-step explanation:

The text said that Sienna's hight is LESS than her brothers hight and less = minus

Answer:D

Step-by-step explanation:hope i helped i love helping people like you. :)

What is an equation for the perpendicular bisector of the line segment joining (1,2) and (-5,12)? Write your equation in point-slope form, standard form, or slope-intercept form.

Answers

Answer:

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

In the expression 7x +8z + 10+ y

What is the coefficient of x?___

What is the coefficient of z? ___

What is the coefficient of y? ___

What is the constant? ____

Answers

Answer:

7

8

1

10

Step-by-step explanation:

the coefficient of x you look at x the number associated with x is the coefficient.same applies to z y and constant number independent of any letter

Please Help!!! I will try to give brainliest!!!

Answers

Answer:

I'm really sorry, but I only know that d=8

Solve each equation for the specified variable.

a. a-q=a+sx for x

b. kx-bf=fy/m for y

c. a-q=a+sx for q

d. kx-bf=fy/m for m

PLEASE HELP I WILL GIVE GREATEST ANSWER TO WHOEVER SOLVES ALL OF THEM THE BEST. THANK YOU SO MUCH

Answers

Answer:

a.

a - q = a + sx

a - a - q = a - a + sx

-q = sx

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

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

-q × (-1) = sx × (-1)

q = -sx

d.

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

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

m(kx - bf) = fy

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

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

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

ASAP!!! PLS

Answers

Answer:

22.5

Step-by-step explanation:

50%of5+20%=22.5

50/100×5=2.5

2.5+20=22.5%

Answer:

3 gallons

Step-by-step explanation:

10=100 percent

10/5 =2

5-2=3

3 gallons

15 mm 4 mm 3 mm what is the surface area of the prism

Answers

Answer:

234 millimeters^2 is the answer

Step-by-step explanation:

What is the scale factor for the dilation of triangle ABC
to produce triangle A'B'C'?
A. 0.25
B. 0.5
C. 2
D. 3

What is the scale factor for the dilation of triangle ABC
to produce triangle A"B"C?
A. 0.25
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'

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

point C (3, -1) (0.5) = (1.5, -0.5) B'

point A (-2, 2) (2) = (-4, 4) A'

point B (-2, -1) (2) = (-4, -2) B'

point C (3, -1) (2) = (6, -2) B'

What would you do if you found out that you wrote a cheque of $78 but it was recorded as $98 in check register?

Answers

Step-by-step explanation:

I'll go to the cashier and says it's wrong cheque

explain how to use a graph of the function f(x) to find f(3)

Answers

Answer:

See below

Step-by-step explanation:

What f(3) means is the value of f(x), or "y", when x=3. So, you would go 3 to the right on the x-axis, and then you would go up or down the y-axis until you touch the graph of the function. That will be where f(3) is.

Given a graph of the function f(x), find 3 on the X axis and then look directly up or down from there to find the Y coordinate of the function at that value of X.

f(3) is equal to Y at x=3.

Find the solution to the system of equations.
You can use the interactive graph below to find the solution
- 72 - 2y = 14
ALE
са
6x + 6y = 18
AS
y =
JO
y
7
AS
6
5
4
3
2
Со
+2
1 2 3 4 5 6 7
-7-6-5-4-3-2
SA
Pro
Do noble

Answers

9514 1404 393

Answer:

x = -4y = 7

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.

-7x -2y = 14

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

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

6x +6y = 18

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

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

__

The point of intersection of the two lines is the solution: (x, y) = (-4, 7).

A casserole recipes calls for 4 ounces of cheese. Emerson wants to use half of the amount of cheese in his casseroles. How many pounds of cheese will he need to make 28 casseroles with his revised recipe?

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

We need 7 pounds of cheese to make 28 dishes.

Is the following a reflection,
rotation or translation?

Answers

This is a translation
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