When Mr. Johnson drives from Cambridge to Newton it takes
him 15 minutes travelling at a speed of 80 miles per hour. Mrs.
Johnson drives from Cambridge to Newton and leaves 10
minutes after Mr. Johnson but travels at a speed of 100 miles per
hour. Who will arrive first? By how many minutes?

Answers

Answer 1

Answer:

Mr. Johnson completed his travel in 15 minutes. But Mrs. Johnson leaves 10 minutes after he does. And to add her 12 minutes travel time, that means Mrs. Johnson will arrive in 22minutes.

Step-by-step explanation:

First, we need to find the distance (d) that Mr. Johnson traveled to be able to compute Mrs. Johnson's travel time.

To be able to do that, use the formula d = (s)(t).

d = (80miles/hr)(15mins)

d = (80miles/hr)(0.25hr)

d = 20 miles

Now that we know the distance from Cambridge to Newton, we can use this value to calculate the time Mrs. Johnson needs to complete her travel.

Using the formula t = (d)/(s);

t = (20miles)/(100miles/hr); we get:

t = 0.2hr or 12minutes


Related Questions

Carly placed 50 marbles in a bag. Fifteen of the marbles are pink, 8 marbles are black,

2 marbles are green, 18 marbles are clear, and 7 marbles are striped. Click and drag

the letters onto the probability scale to order the likelihood that the event will happen.

Answers

When you go into this problem, you want to figure out your marble ammount to 50 so in this case we will say C for color and 50 for the total ammount of marbles.

We know 15 are pink, 8 are black, 2 are green, 18 are clear, and 7 are striped

15P/50

8B/50

2G/50

18C/50

7S/50 for a total of 50 marbles

Now we use the chart to decide our awnsers  

A. We know our propability of drawing a green and clear is 20/50 which if we simplify is a 2/5 ratio. If We put this in perspective 2/5 is rare and is unlikley to even.

B. We know a striped marble is 18/50 or 1.8/5 ratio which is mainly unlikely

C. We have 23/50 marbles that are black and pink, our propability is about 2.3/5 and gives us an even chance to get one of these

D. We know we have 33/50 marbles that are pink and clear and gives us a 3.3/5 chance of getting one of  these and gives us an even to likely chance of getting one of these.

E. If we have a total of 17 marbles in these 3 colors, we have a 1.7/5 chance of getting one of these and is probably impossible to unlikey.

The cost of attending a state university is $21,300 for the first year. Tom's grandparents have agreed to pay half of this cost. Additionally, John has been awarded a one-year academic scholarship for maintaining a 4.0 gpa for his entire 4 years of high school. The scholarship is $6,000. Which amount is closest to the minimum that Tom will need to save every month in order to pay the remaining cost of his first year at the end of 12 months?

Answers

The exact answer I got was $387.50

does 8 cm, 12 cm, 15 cm make a right triangle

Answers

Answer:

No

Step-by-step explanation:

a² + b² = c²

8² + 12² = 15²

64 + 144 ≠ 225

Answer:

Yes, it does!

Step-by-step explanation:

I've had this question before, please mark brainliest if this helped!

Help? Me? Anyone? A poor desperate soul?
What is the height of the square pyramid? Show work for full credit
A) 4

B) 8

C) 12

D) 16

Answers

Answer:

B

Step-by-step explanation:

Because the pythagorean theorem we know that s2 = r2 + h2, since r = a/2s2 = (1/4)a2 + h2, and s = √(h2 + (1/4)a2)

This is also the height of a triangle side

WIll give brainlist to the best answer if possible!! pls help
Solve the system of equations by substitution

Answers

Answer:

Step-by-step explanation:

y=8

x=-4

Answer pls and ill give you brainlliest

Answers

Wouldn’t this be a 2/4 chance that it would land on an even number since there are only 4 answers so it gives a 50/50 chance.
the probability would be 2/4 which is a 50% chance of if landing on a even number

Find the missing measurement of the triangle.
[tex]A=\frac{1}{2}bh[/tex]

[tex]A=100yd^{2}\\b=25yd\\h=______[/tex]

Answers

answer: 8yd

explanation:

using the equation provided, plug in all the know values

this would make the equation the following:

100 = 1/2 (25) h

first, multiple 1/2 by 25 to get 12.5

the equation should now look like this:

100=12.5h

since we are looking for what h is, we must isolate h by dividing both sides of the equation by 12.5

now the equation should look like this:

8=h

the answer is 8 yds

hope this helped!!
If base is 25 then what is 25 of a half is 12.5 know the area is 100 know you want to do is divided 100 by 12.5 is equal to 8 height= 8

The graph below shows the numbers of orders received by a company for five months.

Answers

Answer:

A: 1950 B: November to December

Step-by-step explanation:

In november to december the amount decrease and is the less amount in the graph

A:1950
B. November to December

Please helps and say which question you were answering 20+ brainlest to who whoever answers first and right! Thanks

Answers

Answer:

Step-by-step explanation:

the volume of the aquarium is V= Lx wx H

it is already given that V=11.18 cubic feet, so 11.18=LxWxH

H height and it is the aquarium's depth

H=11.18 / L xW= 11.18/2.7x1.6= 2.58 feet

2.58 is the answer I did this already

For which distributions is the median the best measure of center?



Select each correct answer.

Answers

Answer:

I think it is the bottom right answer.

Step-by-step explanation:

Pls help!!

Which of the statements below is false?

A
Slope is represented by the letter/variable "m".
B
The slope of a line can never be written as a fraction.
C
Slope describes the steepness of a line.
D
You can find slope using two ordered pairs or by looking at a line on a graph.

Answers

b bc rise and run works
B because they can always be put into any type of fraction

What is the value of x?

Answers

Value of x is used to consider unknown value. The letter “x” is commonly used in algebra to indicate an unknown value. It is referred to as a “variable” or, in some cases, a “unknown.” In x + 2 = 7, x is a variable

Answer:

A triangle is 180 degrees and you have a 30 and 50 angle so the third angle should equal 100. so the answer should be 45 and here's why

Step-by-step explanation:

Subtract 10 from both sides

2x+10=100

2x+10-10=100-10

Simplify

Subtract the numbers

2x=90

Divide both sides by the same factor

2x=90

2x/2 = 90/2

Simplify

Cancel terms that are in both the numerator and denominator

Divide the numbers

x=45

Solution

45

ineedhelps!!! ( Once again )

Answers

Answer:

D) 31

Step-by-step explanation:

I just divided and got that ! pls mark me brainlest

31 i don’t think is right cause 377 divided by 12 is 31.411 etc. and it don’t divide equally. i’m not sure the answer but maybe try it but i don’t think it’s 31

Walter is rolling a number cube. What is the probability that the result on his next roll will be less than 2?

A.
0 out of 6

B.
1 out of 6

C.
2 out of 6

D.
3 out of 6

Answers

Answer:

B. 1 out 6

Step-by-step explanation:

There is only one number on a six sided die that has a number less than 2, so it would be 1/6.

B. the answer is 1 out of 6

Solve the expression 6 x one sixth + 11 x 2

Answers

Step-by-step explanation:

6 x 1/6= 1

11 x 2= 22

22+1= 23

6 x 1/6 + 11 x 2

Since multiplication comes before addition in PEMDAS, you’ll need to do multiplication first. The first multiplication in this expression is 6 x 1/6 which can also be written as 6/1 x 1/6

6/1 x 1/6 = 1

The second multiplication in this equation is 11 x 2

11 x 2 = 22

Now you can add both of the numbers and you’d get 23 :)

1 + 22 = 23

Give your answer in hours and minutes.

Answers

Answer:

1h 34min

Step-by-step explanation:

7: 09 AM to 8: 42 AM is 1h 34min because if you add an hour to 7: 09 AM it will be 8: 09 AM then add 34 to 9 and it will be 42.

Its 1hr and 33mins
Because from 7:09 to 8:00 is 51 mins and then you add the 42 mins after 8 o’clock.

Help 50 points (please have a real answer)

Answers

Answer:

The center of the circle is the point in the center.

The radius of the circle is the line segment from the center of the circle to the circumference of the circle.

The diameter is the widest part of the circle. It is a straight line that touches two points on the circumference and passes through the center point.

Question 1

Center = R

Radius = RS and RP and RQ

Diameter = PRQ

Question 2

Center = C

Radius = CD and CA and CB

Diameter = ACB

Question 3

Center = L

Radius = LK and LJ

Diameter = JLK

1) center R
Radius RS
Diameter. PQ

2) center C
Radius CD
Diameter. AB

3) center L
Radius JL
Diameter JK

Find the area of the following figure. get brainliest if correct<3


312 cm2

252 cm2

300 cm2

400 cm2

Answers

Answer:

312

Step-by-step explanation:

because when you add the triangles and rectangles together you get 312

6 x 10=60
60x 2 = 120
120+(16 x12)
120+ 192= 312cm^2

How many yards and feet are equivalent to 10,000 feet? (1 yard = 3 feet)

Answers

Download air math and scan problem for the answer
10,000 feet is equal to 3333.333 yards

what are three ratios that are equivalent to 4:3.

Answers

Answer:

8:6 , 12:9 , 16:12

Step-by-step explanation:

To find equivalent ratios is like finding equivalent fractions :

We simply multiply both numbers of the ratio by the same number.

You can also do the reverse to simplify a ratio.

4:3 × 2 = (4×2):(3×2) = 8:6

4:3 × 3 = (4×3):(3×3) = 12:9

4:3 × 4 = (4×4):(3×4) = 16:12

Therefore 3 ratios that are equivalent to 4:3 are :

8:6 , 12:9 , 16:12

Hope this helped and brainliest please

Answer:

8:6 and 12:9

Step-by-step explanation:

Miguel draws a square on a coordinate plane. One vertex is located at (5,4). The length of each side is 3 units. Circle the letter by all the ordered pairs that could be another vertex.
A. (5,1)
B. (5,7)
C. (7,8)
D. (2,6)
E. (2,1)

Answers

Answer:

A, B, and E.

Step-by-step explanation:

We know that one vertex is at (5, 4), and each side of our square is 3 units long.

Then the distance between the known vertex and another vertex is 3 units (if those vertexes are connected by a side of the square) or (√2)*3  units (if those vertexes are connected by the diagonal of the square).

Also remember that the distance between two points (a, b) and (b, c) is:

distance = √(  (a - c)^2 + (b - d)^2)

So we need to find the distance between our point and all the ones given in the options:

A) the distance between (5, 4) and (5, 1) is:

distance = √( (5 - 5)^2 + (4 - 1)^2) = 3

Then point (5, 1) can be a vertex.

B) The distance between (5, 4) and (5, 7) is:

distance = √( (5 - 5)^2 + (4 - 7)^2) = 3

Then (5, 7) can be a vertex.

C)  The distance between (5, 4) and (7, 8) is:

distance = √( (5 - 7)^2 + (4 - 8)^2) = √( 2^2 + 4^2) = √20

Point (7, 8) can not be a vertex.

D)  The distance between (5, 4) and (2, 6) is:

distance = √( (5 - 2)^2 + (4 - 6)^2) = √( 3^2 + 2^2) = √13

Point (2, 6) can not be a vertex.

E) The distance between (5, 4) and (2, 1) is:

distance = √( (5 - 2)^2 + (4 - 1)^2) = √( 3^2 + 3^2) = √18 = √(2*9) = √2*√9 = √2*3

Then point (2, 1) can be a vertex.

Please answer this math problem sceenshot below

Answers

Answer:

60

Step-by-step explanation:

Angle AFC is supplementary to angle CFE. Supplementary angles always equal 180 degrees. (180-120=60)

Answer:

1. 60

2. 120

3.30

Step-by-step explanation:

(Yes I know they aren't labeled one and two but I'll go in order from the questions)

1. It is 60, because it is an equilateral triangle so all angles are equal. 180/3=60.

2. There are two ways you can solve this problem. The first is using the vertical angle theorem. That makes it 120. Or, you can add all the angles you have already and remove it from 360.

360-120-60-60=120.

(you can tell it is not 60 because it is larger than a right angle in the picture)

3.x=30.The right angle is 90, and there is a 60 degree angle, so 90-60=30

Please HELP I WILL GIVE BRAINLYEST

Answers

Answer:

first one and  thrid one

Step-by-step explanation:

The 1st and 3rd one are right

In a bag, there are 100 same-sized chips labeled 1 through 100. If one chip is selected without looking, order the probabilities of the events below by placing the event with the greatest probability on top.

Answers

Answer:

a: 89/100

b: 19/100

c: 28/100

Step-by-step explanation:

for a, take every number greater than 10. there are 100 chips, so 89/100 chips are greater than 10. do this for each of the other questions.

The order for the probabilities of the events by placing the event with the greatest probability on top is

1. The label is a number between 30 and 60

2. The label is a number less than 20

3. The label is a number greater than 10

How did we arrive at this order?

Below are the correct order of the probabilities from greatest to least:

1. The label is a number between 30 and 60

2. The label is a number less than 20

3. The label is a number greater than 10

The reason for this order is that there are 31 chips with labels between 30 and 60, 19 chips with labels less than 20, and 90 chips with labels greater than 10.

Therefore, the correct answer is as given above.

learn more about probability: https://brainly.com/question/13604758

#SPJ2

Can someone help with this?

Answers

I think model 1 but I’m not confident with my answer
The answer is model 2

To find how many parts you have to split it into you divide 1/2 by 5 which equals 1/10 and in model 2 it shows 1/10 shades in blue meaning that is the answer.

What is the scale factor from figure A to figure B?

Answers

Answer:

1/3

Step-by-step explanation:

Figure A is

-the initial one and

-is bigger

so the scale factor is less then 1 and the figure A was shrunk to figure B

If we compare the sides of the triangles we see that the green triangle was shrunk by a k= 1/3 factor into the blue triangle.

Blue triangle is 3 times smaller than green triangle.

The side lengths from Figure A to Figure B grow by a factor of 1.5—each side length from A to B is 1.5 times as long. So, the scale factor from Figure A to Figure B is 1.5.

URGENT!!
Find the circumference of the wheel using the formula you found in part E. (C = 2πr)

Answers

Answer:

69.08

Step-by-step explanation:

first substitute the values of  pi 3.14  in the formula c and r 11 inches  = 2πr to find c =  2 × 3.14 × 11 inches = 69.08 inches. the circumference is

The radius of a cylinder is 3.5 ft The height is 14 ft. Find the surface area and volume of the cylinder to
the nearest tenth of a foot. Show your work

Answers

The formula to find surface area of a cylinder is A = 2(pi)rh + 2(pi)r^2
So :
A = 2 (3.14) (3.5ft)(14ft) + 2(3.14) (3.5ft)^2
A = 307.72 + 76.93
A = 384.65 ft^2
Rounded to the nearest tenth : 384.7 ft^2

Volume of a cylinder is : (pi)r^2h
V = (3.14)(3.5ft)^2 x (14ft)
V= 538.51 ft^3
Rounded to the nearest tenth: 538.5 ft^3

Answer:

385 ft²

Step-by-step explanation:

should be it i forgot how to round

Pls help me someone if you can tank you

Answers

Step-by-step explanation:

The answer should be february

Answer:

the answer is february

Step-by-step explanation:

Which statement must be true?

Answers

B
The lines are parallel to each other
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