John left the museum and drove south at a rate of 55 mph. Sally left four hours later driving 10 mph faster than John in an effort to catch up to him. How
long did Sally have to drive to catch up with John?
28 hours
22 hours
20 hours
18 hours

Answers

Answer 1

Answer:

22 hours (B)

Step-by-step explanation:

John's velocity = 55mph

Sally's velocity = 65mph

John's time taken = x

Sally's time taken = x - 4

since they must cover the same distance.

and, distance = vel × time

Sally's vel × time = John's vel × time

55x = 65(x-4)

55x = 65x - 220

-10x = -220

x = 22 hours.

Therefore, Sally catches up after 22 hours


Related Questions

The graph of y>1/2x-2 is shown. Which sweet contains only points that satisfy the equality

Answers

Answer:

hi I dont think I can help I am only 9 year old and am in grade 5 so

Mike buys a pack of markers for $2.85. He uses a 20% off coupon, what is the price of the markers with the coupon?

A $2.28
B $3.42
C .57
D $2.53

Answers

The answer would be C

Answer:

c.57

Step-by-step explanation:

Darrin orders 24.5 square feet of granite countertop for his kitchen.
If hepays $428.75 for the granite, what is the cost per square foot?

Answers

Answer:

37.9

Step-by-step explanation:

Jasmin can walk 1/4 mile every 1/5 hour. At this rate, how far can Jasmin
walk in one hour?

Answers

Answer:

hope this helps :)

Step-by-step explanation:

Since we know how far she can walk in 1/5 (one fifth) of an hour, if we multiply this distance by 5, we will find out how far she can walking in 5/5 (five fifths) of an hour, or to be clear: in one hour.

So, 5 x 1/4 miles = 5/4 or 1.25 miles per hour

Jazmeen can walk 1.25 miles in one hour.

simplify [tex]x^2+6x+4/x+3[/tex]

Answers

Answer:

(x^3 + 6 x^2 + 3 x + 4)/x

Step-by-step explanation:

Simplify the following:

x^2 + 6 x + 3 + 4/x

Put each term in x^2 + 6 x + 3 + 4/x over the common denominator x: x^2 + 6 x + 3 + 4/x = x^3/x + (6 x^2)/x + (3 x)/x + 4/x:

x^3/x + (6 x^2)/x + (3 x)/x + 4/x

x^3/x + (6 x^2)/x + (3 x)/x + 4/x = (x^3 + 6 x^2 + 3 x + 4)/x:

Answer: (x^3 + 6 x^2 + 3 x + 4)/x

Helpppp will give brainlist !!!!!!

Answers

Answer:

8. The coordinates (0,0) represent the fact that when 0 minutes has passed, the horses have gone 0 miles because they hadn't started yet.

9. From the graph, it looks like horse A takes 4 minutes and horse B takes 2.5 minutes (aka 2 minutes and 30 seconds) to travel 1 mile.

10. For A: y = (1/4)x

For B: y = (2/5)x

11. For A: 3 miles

For B: (24/5) miles, or 4 and (4/5) miles.

12. Can't see the entire problem sorry.

Step-by-step explanation:

9. You find this by going to y=1 and look towards the right till you find the point the line intersects with y=1. Then find the x value by finding the corresponding number on the x axis.

10. A linear function will look something like this: y = mx+b, where y is the y value, x is the x value, m is the slope, and b is the y-intercept. Since both lines start from 0, you don't have to write the y-intercept since there's no point in writing +0. To find slope, you find delta y over delta x. Basically just find the difference of two y values and the difference of two x values from the same coordinate in the same order. I know that sounds really confusing but your teacher will probably teach this later on.

11. x represents the time, so just substitute x as 12 in the equation.

Estimate. Tell whether the estimate is greater than or less than the actual product.
52 x 11

Answers

Answer:

D

Step-by-step explanation:

because the estimate of 52 is 50 and the estimate of 11 is 10 so there.

What is the expression -7x2 + 32x + 240 in factored form?

a) (-7x – 60)(x + 4)

b) (7x + 60)(x + 4)

c) (-7x + 60)(x + 4)

d) (-7x + 60)(x – 4)

Answers

The answer is D: (-7x + 60)(x - 4)

Answer:

a) (-7x – 60)(x + 4)

Step-by-step explanation:

;)

The distance between New York and Philadelphia by railroad is 90 miles; the distance between them by river and ocean is 240 miles. What fraction of the second distance is the first one?

Answers

Answer:

3/8

Step-by-step explanation:

Well, just put the first one over the second one.

90/240

and simplify

=3/8

Answer:

3/8

Step-by-step explanation:

90/240 divided by 10 is 9/24

9/24 divided by 3 is 3/8

3/8 is the simplest form

hope this helps :3

if it did pls mark brainliest

what is 22.5%written as a fraction in simplest form ?​ plz help

Answers

Answer:

22 1/2 or 45/2

Step-by-step explanation:

Juan cuts a piece of rope that is 16 meter long into 2 equal pieces. What is the length of each shorter piece of rope?

Answers

Answer:

8 meters each

Step-by-step explanation:

there is not a shorter piece of rope because 16 divided my 2 is 8 so they would both be 8 meters

Mya is doing a 45-minute cardio workout. She has completed 4/5 of the workout. In how many minutes will her workout be done?

Answers

Answer:

9 minutes

Step-by-step explanation:

First, find 4/5 of 45 by multiplying 45 by 4/5:

(45)(4/5)

= 36

Then, to find how many more minutes she has left, subtract 36 from 45:

45 - 36

= 9

So, her workout will be done in 9 minutes

Answer:

9

Step-by-step explanation:

(45)/(4/5)=36

45-36 is 9

Evaluate the following rational equations below, and identify which rational equation is transformable to a quadratic equation. Cross-out the rational equation transformable to a quadratic equation.

m+7 18
___ = __
9 4m

Answers

Answer:

2m^2 + 14m - 81 = 0

Step-by-step explanation:

It looks like

(m + 7)/9 = 18/4m

Cross-multiplication:

4m(m+7) = 9*182m(m+7) = 9*92m^2 + 14m = 812m^2 + 14m - 81 = 0

Here is the quadratic equation

9 1/3 minus 3 1/4 as a mixed number

Answers

Answer: i got 6 83/1000

Step-by-step explanation:

2. Eldon helps people load their groceries into their cars at the
grocery store. The grocery store pays him $5.15 per hour. In one
week he worked 38 hours and earned $425.00 in tips. What was
his total income?

Answers

Answer:

$620.7

Step-by-step explanation:

$5.15 × 38 = $195.7

$195.7 + $425.00 = $620.7

HELP WILL MAKE BRAINLIST TO WHOEVER DID IN EXPLAINATION

Answers

Answer:

The scouts hiked up the mountain in 1 mile.

Step-by-step explanation:

Use substitution to solve the system.


X= 2y-5
4x+3y=-9

Answers

Step-by-step explanation:

x=2y-5 - equation 1

4x+3y=-9 -equation 2

Replace equation 1 in equation 2

4(2y-5)+3y=-9

8y-20+3y=-9

11y=-9+20

11y=11

y=11/11

y=1

If y=1, therefore x=2(1)-5=-3

x=-3,y=1

A class has 30 students. 18 are boys. what id the ratio of boys to girls? (you must simplify)​

Answers

Answer:

number of students =30

boys =18

girls =30-18=12

therefore,the ratio of boys :girls

=18:12

then simpilyfing, =3:2

The ratio of the number of boys to girls in the class is 3 : 2

Total number of students = 30

Number of boys = 18

Nunber of girls = 30 - 18 = 12

The ratio of boys to girls :

Number of boys : Number of girls 18 : 12

Simplify to lowest term :

Divide both sides by 63 : 2

Therefore, the ratio of boys to girls is 3 : 2

Learn more : https://brainly.com/question/13218948


5. Elena bought 8 tokens for $4.40.
b. How much does 19 tokens cost?

Answers

Answer:

8 = 4.40

9 = x

9(4.40)=39.6

39.6/8=4.95

So 19 tokens cost $4.95.

Step-by-step explanation:

The 19 tokens cost $104.5.

What is Unitary method?

In order to solve a problem for two different values of a quantity, its unit value is first derived. This method is known as unitary method.

Given that,

The price of 8 tokens is $4.40.

In order to find the cost for 19 tokens the unitary method is used as,

The cost for 1 token = $4.40/8

                                 = $5.5

So, the cost for 19 tokens is 19 × 5.5 = $104.5

Hence, the cost for 19 tokens is $104.5.

To know more about unitary method click on,

https://brainly.com/question/28276953

#SPJ5

What is an equation of the line that passes through the point (- 1, 2) and is parallel to the line 3x + y = 3 ?

Answers

Answer:

y=-3x-1

Step-by-step explanation:

hope it helps.

express as a unit rate. $18.50 for 5 lbs​

Answers

Answer:

3.7 dollars per lb

Answer:

$3.70 per lb

Step-by-step explanation:

It's asking how much money for one pound. So, right now the equation is

18.5=5lbs

divide by 5 on both sides

3.7=1lb

so, $3.70 per lb

work out the area of the trapezium abde

Answers

Step-by-step explanation:

you need to attach a photo to show us what this looks like

What is the solution to the inequality 7<=-3x-4

Answers

Answer:

The nearest option is -3 (negative 3)

So, Option B is correct.

Step-by-step explanation:

We need to solve the inequality [tex]7 \leq -3x-4[/tex]

Solving:

Step 1: Switching sides of inequality and reversing the inequality

[tex]-3x-4\geq 7[/tex]

Step 2: Adding 4 on both sides

[tex]-3x-4+4\geq 7+4\\-3x\geq 11[/tex]

Step 3: Dividing both sides by -3 and reversing the inequality

[tex]\frac{-3x}{-3}\leq \frac{11}{-3} \\x\leq -3.6\\[/tex]

The nearest option is -3 (negative 3)

So, Option B is correct.

y = 8x- 18
y-intercept:

x-intercept
:

Answers

Answer:

the y-intercept is -18

Step-by-step explanation:

hope i couldve help :)

2. A jar contains 660 beans. Of them, 440 are kidney beans and the rest are cranberry
beans. What is the ratio of kidney beans to all the beans?

Please help y’all! I’m confused!

Answers

Answer:

2/3

Step-by-step explanation:

They didn't ask about the cranberries so just simplify 440/660 which is 2/3

440:1100 or you can say 440 to 1100

Which triangle is a 30°-60°-90° triangle?

Answers

Answer:

right triangle

Step-by-step explanation:

Answer:

A right triangle

Step-by-step explanation:

A 30-60-90 triangle is a special right triangle (a right triangle being any triangle that contains a 90 degree angle) that always has degree angles of 30 degrees, 60 degrees, and 90 degrees.

How many 1/6 hamburger patties can be made with 1/2 pound of hamburger meat

Answers

Answer:

3.

Step-by-step explanation:

please brainliest

Answer:

3 hamburger patties can be made

Step-by-step explanation:

If you do 1/6 + 1/6 + 1/6 it would be 3/6 which, when simplified, would be equivalent to 1/2

Hope this helps!

The equation r = 4sin(θ) represents a circle. What is the radius of the circle, and what is the symmetry of the graph?

Answers

Answer:

The radius is 2 units, and the graph is symmetric about the line Theta = StartFraction pi Over 2 EndFraction. Its A

Step-by-step explanation:

what is the slope of the line ​

Answers

the answer to you ? is = -3/4x

how to do this T-T?

The difference between 20th and 40th term is 40. Find the 100th term if the second
term is 2.​

Answers

Answer:

198

Step-by-step explanation:

t20=a+19d.......1

t40=a+39d.......2

t2=a+d=2.........3

According to ques,

t40-t20=a+39d-(a+19d)=40

or,20d=40

or,d=2

Now ,putting the value of d in equation 3,we get,

a=0

t100=a+99d

=0+99×2

=198

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