Candice leaves on a trip driving at 25 miles per hour. Four hours later, her sister Liz starts from the same location driving at 50 miles per hour. How long after Liz leaves home will she catch up to Candice?


9 hours

4 hours

7 hours

8 hours

Answers

Answer 1

Answer:

The time that Liz will take to catch up with Candice after Liz starts is:

4 hours.

Step-by-step explanation:

We're gonna use the formula:

Distance = Speed * Time

And we'll give a variable for each driven distance:

C= Candice's driven distance. L= Liz's driven distance.

Now, Liz begins when four hours had passed, then, from the beginning of this exercise Candice's distance is:

25 miles / hour * 4 hours = 100 miles

Candice had a 100 miles lead when Liz started, so, the distances 1 hour after Liz began were:

C= 25 miles / hour * 1 hour + 100 miles = 125 miles. L= 50 miles / hour * 1 hour = 50 miles.

When two hours have passed:

C= 25 miles / hour * 2 hour + 100 miles = 150 miles. L= 50 miles / hour * 2 hour = 100 miles.

When three hours have passed:

C= 25 miles / hour * 3 hour + 100 miles = 175 miles. L= 50 miles / hour * 3 hour = 150 miles.

And, when four hours have passed:

C= 25 miles / hour * 4 hour + 100 miles = 200 miles. L= 50 miles / hour * 4 hour = 200 miles.

Then, Liz will catch up with Candice 4 hours after she leaves because after that time the distance traveled is the same for them.


Related Questions

A car dealership sold 236 car in 4 months. At what rate did the dealership sell cars in per month ?

Answers

If you divide 236 by 4 you will get 59. So the answer is 59 cars are sold in a month, on average

state whether the following statement is true or false: y= -x2 + 6x - 10 does not intersect the x-axis.​

Answers

Answer:

True

Step-by-step explanation:

Here, we want to check if the given equation does not intersect the x-axis

if it does not, then it has no real root

If the discriminant is less than zero, then it has no real roots and does not intersect the x-axis

The formula for the discriminant is;

D = b^2-4ac

In the question;

a = -1 , b = 6 , c = 10

so;

D = 6^2-4(-1)(10)

D = 36-40

D = -4

Since discriminant is less than zero, then there is no real root and the graph does not cross the x-axis

I need help with both of these

Answers

Answer:

13x² - 19x + 23-16x +17

Step-by-step explanation:

1 . (4x² - 9x + 16) + (7 + 9x² - 10x)

4x² - 9x + 16 + 7 + 9x² - 10x

13x² - 19x + 23

2 . (-2x + 6) - (14x - 11)

-2x + 6 - 14x + 11

-16x +17

Solve for J MUST SHOW WORK
j/-2 + 7 = -12

thx!!

Answers

Answer:

j=38

Step-by-step explanation:

j/-2 +7=-12,  subtract 7 from both sides of the equation and you get j/-2 = -19, then you multiply j/-2 by -2/1  and multiply -19 by -2/1 to get j= 38

Which expression is best for finding the area of the polygon?

Answers

I hope it helps you to find what u got

Simply -3x - 4 = -16

Answers

Answer:

x= 4

Step-by-step explanation:

[tex]-3x-4=-16\\\\-(-3x-4)=-(-16)\\\\-(-3x)-(-4)=16\\\\3x+4=16\\\\3x=16-4\\\\3x=12\\\\\frac{1}{3}(3x)=\frac{1}{3}(12)\\\\x=4[/tex]

Answer:

3x = 12

Step-by-step explanation:

-3x -4 = -16

     +4 = +4

-3x + 0 = -12

       -3x = -12

     -3x/- = -12/-

         3x = 12

       

will someone please tell me what I got correct and what I got incorrect

Answers

Answer:

all correct

Step-by-step explanation:

Answer:

What you got right:

0.5 - Possible

48 - Possible

-6 - Not possible

0 - Not possible

BUT....

3 is possible

Step-by-step explanation:

When we want to know the side lengths of a rectangle and we have possible choices, we want to look at if it's in the realm of possibility. That is, if it's physically possible. You have 5/6 correct, so I think you've done a good job so far. But what you got wrong was the statement that 3 is not possible.

3 is possible, because 24 is divisible by 3. The length would then be 8. So, what you should have put is that 3 is Possible.

(my comment on someone else's answer is incorrect, you only got one wrong, my bad)

1.
What type of polynomial is this?
- 3x3 - x2 - 10x + 12
O a) Monomial
c) Trinomial
O b) Binomial
d) Polynomial

Answers

Answer:

monomial

Step-by-step explanation:

A I think hope this helps

You have a spinner and a dice. What is the probability of spinning a 3 and rolling an even number?
1. 1/8
2. 1/4
3. 3/16
4. 5/12

Answers

The answer should be 3/16

Using a starting position p, a speed s, and a time t, write two expressions for an ending position. One expression should show the result of moving right, and one expression should show the result of moving left.

going right:

going left:

Answers

Answer:

Step-by-step explanation:

We can use signed numbers to represent the position of an object along a line. We pick a point to be the reference point, and call it zero. Positions to the right of zero are positive. Positions to the left of zero are negative.

When we combine speed with direction indicated by the sign of the number, it is called velocity. For example, if you are moving 5 meters per second to the right, then your velocity is +5 meters per second. If you are moving 5 meters per second to the left, then your velocity is -5 meters per second.

If you start at zero and move 5 meters per second for 10 seconds, you will be  5⋅10=50  meters to the right of zero. In other words,  5⋅10=50 .

If you start at zero and move -5 meters per second for 10 seconds, you will be  5⋅10=50  meters to the left of zero. In other words,

−5⋅10=−50

In general, a negative number times a positive number is a negative number.

Which algebraic expression is equivalent to the expression below?
9x + 15y

Answers

The answer is 15y + 9x

Write the correct way that you should read 10.8

Answers

Answer:

ten and eight tenths

Hope I helped! :)

Step-by-step explanation:

Ten and 8 tenths, always say and after a decimal

What is the slope? What is the Y- intercept? And what is the Equation

Answers

Answer:

Step-by-step explanation:

y-intercept⇒(0,4)

slope⇒ 2 over 1

equation⇒ y=2x+4

When thinking of Y-intercept always look at the point of where your line hits the y-axis so for this equation it is 4. Your slope is your raise over run, so for your graph it’s going from -2 and up to 4. The raise up two and the run is 1. For your equation it should be y=2x+4.

[100 points if correct]
PLEASE HELP WITH ANY 3 OF THE ABOVE QUESTIONS!!!​

Answers

Answer:

(BEFORE YOU SUBMIT IT, PLEASE READ THE WARNING)

QUESTION EIGHT: 2690

QUESTION NINE: 120

QUESTION ELEVEN: 12.5

QUESTION FOURTEEN: 24

Step-by-step explanation:

WARNING!! FOR QUESTIONS WITH INTEREST: I do not know if interest is good or bad (if you get money, or if you lose money. I counted interest as making money, but if you are sure it's not, contact me in the comments and I will solve it again! :)

8.

may 3rd -> july 15th = 73 days

500*0.06 = 30

30 = how much he makes in one day (so he has 530 after 1 day)

30*73 = 2190

500 + 2190 = 2690

9.

210/7 = 30

1% for 3 years = 30

1% for 1 year = 10

100% for 1 year = 1000

2000*0.06 = 120

11.

54,000*0.08 = 4320

54,000/4320 = 12.5

14.

5000*6.26% = 312.5

7500/312.5 = 24

Hope this helps... T-T

14) P=₹5000
A= ₹7500
SI=7500-5000=2500
R=6.25%=25/4

SI= P ×R ×T/100
2500=5000 ×25 ×T/4 ×100
2500=25 ×25 ×T/2
2500 ×2/625=T
5000/625=T
8yrs=T

4
For each equation, find a value for x that makes the equation true.
a.
x = 3 = 12
b.
2x + 3 = 20
c.
d
- 4x =-24
2(x-4) = 10
e
-0.5x +1.1 =-2.9

Answers

For question 4.a), I think you meant x + 3 = 12.

4.a) x + 3 = 12

         - 3    -3

           x = 9

b.) 2x + 3 = 20

         - 3     -3

    2x = 17

     2     2

            x = 8.5

c.) -4x = -24

     -4      -4

    x = 6

d.) 2(x-4) = 10

    2x - 4 = 10

         + 4   +4

    2x = 14

     2     2

      x = 7

e.) -0.5x + 1.1 = -3.9

              - 1.1    -1.1

    -0.5x = -5

    -0.5     -0.5

         x = 10

Solve the system by graphing:
y2 - 2 - 44 = 0
x - 2y = 4
Enter the coordinate with the least x-value first.​

Answers

Answer:

Step-by-step explanation:

its c

35% of the students at charles drew middle school are 6th graders if there are 84 sixth graders what is the total number of students in the school

Answers

Answer:

240 students

Step-by-step explanation:

If 84 represents 35% then 100%=(84/35)(100)

240 students

What is the measure of each angle in a regular nonagon?

Answers

a nonagon is which all sides are equal and all angles are equal is a regular nonagon. each angle of a regular nonagon is of 140 degrees.

I need help with this math

Answers

Answer:

question? haven't learn this yet but try asking desmos that app helps me a lot!

Does the equation 1/2(2x + 4) = x + 3 have infinitely many solutions? Does it have exactly one solution?

Answers

Answer:

it doesnt have solution

Step-by-step explanation:

1/2(2x + 4) = x + 3

x+2=x+3

x-x=3-2

0≠1

plzzzz helppp..will give brainliest.
9x + 15 = 3x + 15 x=

Answers

18x is the answer because you just need to add them

Answer:

x=3

Step-by-step explanation:

9x+15=3x+15

subtract 15 from both sides

9x=3x

divide by 3 from both sides

x=3

George recorded the temperature of a liquid during science class.



Recorded temperatures (° Celsius):37 comma 37 comma 42 comma 42 comma 42

Question
Which measure of center ,begin emphasis,best,end emphasis, summarizes the temperatures and what is the value of this chosen measure?



Move a word and a value to complete the sentences.

Response area with 2 blank spaces
The best measure of center for this data is the
Blank space 1 empty
.


The value of this measure of center is
Blank space 2 empty
.

Answer options with 6 options.


Answers

Answer:

Step-by-step explanation:

The best measure of the center for this data is the __Median___

The value of this measure of center is _42_

Pls help me with this question I will mark brainiest.

Answers

Answer:

where is the question

Step-by-step explanation:

Answer:

Just wondering, where is the question?

Step-by-step explanation:

Select the ordered pair that is a solution of the system of liner equations ​

Answers

Answer:

i think it's (2, 1)

Step-by-step explanation:

gabe goes to the mall. if k is the number of items he bought, the expression 17.55k+27 gives the amount he spent in dollars at one store. then he spent 24 dollars at another store. find the expression which represents the amount gabe spent at the mall. then estimate how much gabe spent if he bought 4 items.​

Answers

Answer:

68.55

Step-by-step explanation:

Find the nth term of -5,-2,3,10,19

Answers

Answer:

PLace them one by one from big number to small and the middle number is the answer.

Step-by-step explanation:

pretty please help me

Answers

Answer:

A

Step-by-step explanation:

find there common denominator which is 40

multiply 3 by 8 and 7 by 5 to get 24 and 35

35-24=11

11/40

18-7=11

11 11/40

Show that the quadrilateral is a parallelogram.

Answers

9514 1404 393

Answer:

  opposite sides have the same slope, so it is a parallelogram

Step-by-step explanation:

A parallelogram has opposite sides that are parallel. Here, one pair of opposite sides consists of horizontal lines. Both have zero slope, so are parallel.

The other pair of lines each has a "rise" of 3 units for each "run" of 2 units, so the lines have a slope of 3/2. Both lines have the same slope, so are parallel.

Since opposite sides are parallel, the figure is a parallelogram.

Estimate, and then find the quotient. Use your estimate to check for reasonableness. 9,157÷32

Answers

Answer:

9,157 divided by 32=286.15625

9,157 rounded is 9.000

32 rounded is 30

9,000 divided by 30 equals the quotient of 300

our original answer 286, would round up to 300

Step-by-step explanation:

Hope this helped

You're going on a 1211-mile trip, and your car gets about 29 miles per gallon. Gas prices along your route average $3.40. Estimate the cost of gasoline for this trip by rounding the distance to 1200 miles, the mileage to 30 miles per gallon, and the cost of gas to $3.00 per gallon. Calculate the answer without using estimate and compare the two results. (Round your answers to the nearest cent.)

Answers

Answer:

Using the estimate:

The car has to go for 1,200 miles but it consumes a gallon of gasoline for every 30 miles. The number of gallons it will need is therefore:

= 1,200 / 30

= 40 gallons

Each gallon costs $3.00 so the total cost is:

= 40 * 3

= $120

Without using the estimate:

The car has to go for 1,211 miles but it consumes a gallon of gasoline for every 29 miles. The number of gallons it will need is therefore:

= 1,211 / 29

= 41.76 gallons

Each gallon costs $3.40 so the total cost is:

= 41.76 * 3.40

= $‭141.98

Using the estimate provides a lower cost of gasoline for the trip.

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