Solve the problem.
Two cars leave a city and head in the same direction. After 5 hours, the faster car is 40 miles ahead
of the slower car. The slower car has traveled 275 miles. Find the speeds of the two cars.
(A) 55 mph and 63 mph
B) 80 mph and 88 mph
C 57 mph and 65 mph
D) 47 mph and 55 mph

Answers

Answer 1

Answer:

A

Step-by-step explanation:

Let x = speed of the faster car, y = speed of the slower car

after t = 5 hours, distance of slower car = 275 = 5 * y, so y = 275/5 = 55 mph

distance of faster car = 275 + 40 = 315 miles

then x = 315/5 = 63 mph

Answer: A


Related Questions

Jamie’s father has asked him to paint the fence around their home. If the fence is 119.5 years long, and Jamie can paint an average of 4.78 yards of the fence per hour, how many hours will it take for Jamie to finish painting the fence?

Answers

Answer:

25 hours

Step-by-step explanation:

119.5 yards divided by 4.78 yards per hour = 25 hours

Please help
Me with this!

Answers

Answer:

  22

Step-by-step explanation:

Let x represent the number of houses on each street. Normally, Jake delivers 7x papers, and Ryan delivers 3x papers. On the day when Ryan delivered 45 of Jake's papers, we have ...

  (3x +45) > (7x -45)

  90 > 4x . . . . . . . . . . . add 45 -3x to both sides

  22.5 > x . . . . . . . . . . divide by 4

The number of houses on each street will be an integer, so the maximum number of houses on each street is 22.

_____

Additional comment

If Jake normally delivers more than 45 papers, then we must also have ...

  7x > 45

  x > 6 3/7

There must be at least 7 houses on each street.

100 points!!!
Find the domain and range of the relation show on the graph

Answers

Answer:

The domain of the relation is 0 ≤ x ≤ 4

The range of the relation is all real numbers  (-∞, ∞)

Step-by-step explanation:

Domain : the set of possible x-values (the "input" values)

Range : the set of y-values (the "output" values)

The domain of the relation is 0 ≤ x ≤ 4

The range of the relation is all real numbers (-∞, ∞)

How to identify domain and range from coordinate pairs?

If x,y is a pair then x is domain and y is range.

Here

Domain is [0,4]

Here range is

(-oo,oo)

What is the next number in the sequence?
6,12,24,48

A 72
B 96
C 108
D112
E 124

Answers

Answer: B) 96

Each number is multiplied by 2, 48x2=96
B.96

It is Geometrics sequence with ratio = 2
Means next term is two times term before
So the next number is 48×2=96

PLS ANSWER !!! TYYYYY

Answers

3a+7b=I really don’t know my guy

Answer:

[tex]-\left(x+a+7\right)\left(x+a-7\right)[/tex]

Step-by-step explanation:

→ [tex]49-2ax-a^2-x^2[/tex]

→ [tex]-(x^2+a^2+2ax-49)[/tex]

→ [tex]-\left(\left(2xa-49\right)+\left(x^2+a^2\right)\right)[/tex]

→ [tex]-\left(2xa-49+x^2+a^2\right)[/tex]

→ [tex]-\left(x+a+7\right)\left(x+a-7\right)[/tex]

→  [tex]-\left(x+a+7\right)\left(x+a-7\right)[/tex]

The diagonal of a rectangle is 2under root 13cm.If its length and breadth are in the ratio 3:2, then find its area.​

Answers

Answer:

Given :

The diagonal of a rectangle is 2 ✓13 cm.

The length and breadth are in the ratio

3:2.

To find :

The Area of the rectangle.

Solution :

Given that

The ratio of the length and breadth of a rectangle = 3:2

Let they be 3X cm and 2X cm

We know that

The diagonal of a rectangle = √(1²+b³)

units

The diagonal of the rectangle

= √[(3X)³+(2X)³] cm

= √(9x³+4x²) cm

=> √(13X²) cm

=> √13 X cm

According to the given problem

The diagonal of the rectangle = 2√13 cm

=> ✓13 X = 2 √13

=> X = 2√13/√13

=> X = 2 cm

If X = 2 cm then 3X=3(2) = 6 cm

If X = 2 cm then 2X = 2(2)=4 cm

Length = 6 cm

Breadth = 4 cm

We know that

Area of a rectangle = length breadth sq.units

Area of the given rectangle = 6 cm x 4 cm

= 24 cm²

directions write s if the set is similar fraction and d if the set is dissimilar fraction​

Answers

Answer:

Similar (Like) fractions are fractions with same denominators. On the other hand, dissimilar (Unlike) fractions are fractions with different denominators.

Step-by-step explanation:

hope it helps you

Which equation represents the number of crops in row n?

Answers

Answer:

9n=3(4)n  

Step-by-step explanation:

The farmer has a very insufficient way of farming he is a fake farmer if he only plants 3 crops a row and than 12 in the next he most likely has no pattern but if we do trigonometrically mitochondria math we can figure out that his patter does exist but only to him. since the farmer goes but he goes up by four cuz 3 x 4 is a number 12 and than 12 x 4 is 48 which the farmers produce will all die on his crusty land.  

If (x) = 3x - 2 and g(x) = 2x + 1, find (1-7)(x).
A. X-3
B. 5x - 3
C. 3- x
D. 5x - 1

Answers

Answer:

A

Step-by-step explanation:

f - g = (3x - 2) - (2x + 1) = x - 3

A

This is urgent 1. In a picture, there are 40 monkeys, and 60% of the monkeys are in the trees.
How many monkeys are in the trees? Use a 10-squares model to explain your answer.
please answer

Answers

Answer:

30 Monkeys 50 trees

explanation:

Your welcome

The number of monkeys in the trees is 24.

What are percentages?

Percentage is the fraction out of an amount that is usually expressed as a number out of hundred. The sign used to represent percentages is %.

The number of monkeys in the trees = 60% x 40

= 0.6 x 40 = 24

To learn more about percentages, please check: https://brainly.com/question/25764815

How much water should be added to 3 gallons of pure alcohol in order to obtain a solution that is 50% alcohol?

Answers

Answer: 3 gallons of water

Step-by-step explanation:

3 gallons of alcohol +3 gallons of water = 6 gallons total

alcohol = 3/6 = 50%

Let x=amount of water added.

let 3+x=amount of alcohol and water in 15% solution.

Let 3 gallons of alcohol=percentage of alcohol*volume of solution

3=0.15*(3 + x)

3=0.45 + 0.15x

2.55=0.15x

2.55/0.15=x or 17 gallons of water added=x

Use the given point on the circle to find the value of cosine. Recall r=sqrt x^2+y^2 and cos 0=x/y

Answers

Answer:

cosine=-1/2

Step-by-step explanation:

what is ...(minus the given fractions and answer the answer as a fraction)

1/10 - 1/100

3/4 - 3/8

Answers

Answer:

−9583333/10000000

Step-by-step explanation:


Keyla has one pizza. She wants to share her pizza
with her 5 tiends (and herself) How much pizza will
each person receive!

Answers

5+1= 6

1/6=1/6 or 0,17 of the pizza

Answer:

1/6 or 16.7%

Step-by-step explanation:

1 (herself)

5 (her friends)

1 + 5 = 6

1/6 ≃ 0.167 ≃16.7%

Hope this helps!

find the value of a and b when x=10

Answers

Answer:

Step-by-step explanation:

a = [tex]\frac{5*10^2}{2}[/tex] = 250

b = [tex]\frac{2*10^2 (10-5)}{10*10}[/tex] = 10

Answer:

A = 500

[tex]b = 2 {x}^{3} - \frac {{x}^{2} }{10} [/tex]

Need help with this, its important.

Answers

Proper latex may not appear in website then see attached picture!

[tex] \tt \looparrowright \: 2 {b}^{3} + 5 = 2 {(3)}^{3} + 5[/tex]

[tex] \\ \\ [/tex]

[tex] \tt \looparrowright \: 2 {b}^{3} \cancel{ + 5} = 2 {(3)}^{3} \cancel{ + 5}[/tex]

[tex] \\ \\ [/tex]

[tex] \tt \looparrowright \: 2 {b}^{3} = 2 {(3)}^{3} [/tex]

[tex] \\ \\ [/tex]

[tex] \tt \looparrowright \cancel 2 {b}^{3} = \cancel 2 {(3)}^{3} [/tex]

[tex] \\ \\ [/tex]

[tex] \tt \looparrowright {b}^{3} = {(3)}^{3} [/tex]

[tex] \\ \\ [/tex]

[tex] \tt \looparrowright {b} = 3[/tex]

3 cubed times 2 + 5
27times2 +5
54+5
59

During, an Experiment, The temperature of a solution changes from 9 4/5 F to 17 1/4 F.
What is the percent of increase in the temperature of the solution?
Enter your answer in the box as a percent rounded to the nearest hundredth

Answers

Using improper fractions, it is found that the percent of increase in the temperature of the solution was of 76.08%.

How to convert improper fractions to standard fractions?

The conversion is made according to the following formula:

[tex]a\frac{b}{c} = a + \frac{b}{c} = \frac{ac + b}{c}[/tex]

In this problem, the initial temperature was given by:

[tex]9\frac{4}{5} = 9 + \frac{4}{5} = 9.8[/tex]

The final temperature was given by:

[tex]17\frac{1}{4} = 17 + \frac{1}{4} = 17.25[/tex]

What is the percent change?

The percent change is given by the change divided by the initial temperature, and multiplied by 100%. Hence:

[tex]C = \frac{17.25 - 9.8}{9.8} \times 100\% = 76.02\%[/tex]

To learn more about improper fractions, you can take a look at https://brainly.com/question/24606703

(image is question) ................................

Answers

Answer:

2x^2

Step-by-step explanation:

If you're going to double x^2, you just need to multiply it by 2. You can just put the 2 in front of the x^2 because the order of operations says to do exponents before multiplication.

If (-3, y) lies on the graph of y = 3^x, then y =
-1
1/27
-27

Answers

Answer:

1/27

Step-by-step explanation:

If (-3, y) lies on the graph of y = 3^x, then we can find y by filling in the given x and calculating y

They gave us that x is -3 (the first number in an ordered pair is the x).

y = 3^x

y = 3^(-3)

y = 1/(3^3)

**You "fix" a negative exponent by pushing across a fraction bar; that changes the sign of an exponent**

y = 1/27

Because3^3 is 3×3×3 is 27

For the past two weeks, Benita has been recording the number of people
at Eastside Park at lunchtime. During that time, there were 50 or more
people at the park 9 out of 14 days.
What is the experimental probability that there will be 50 or more people at the park during lunchtime on the fifteenth day?

Answers

Answer:

a)9/14

b)5/14

Step-by-step explanation:

For the past two weeks, Benita has been recording the number of people at Eastside Park at lunchtime

Ok ease
Please please help me

Answers

Answer:

1 / 5^7 the last one is correct

Answer:

I checked and the person above is correct

PLEASE HELP ME QUICKKK, FIRST CORRECT PERSON GETS BRAINLIEST​

Answers

A b and d hope it helps
C,D
that is just how because you do 50% of the original and if it’s less then it’s greater

(5a2 + 4ab – 3b2) – (–5ab + 4b2 + 3a2) =

Answers

Answer:

See below.

Step-by-step explanation:

(5a^2 + 4ab – 3b^2) – (–5ab + 4b^2 + 3a^2)

5a^2+4ab-3b^2+5ab-4b^2-3a^2

(5a^2-3a^2)+(4ab+5ab)+(-4b^2-3b^2)

2a^2+9ab-7b^2

-hope it helps

Answer:

You can answer this with modern calculators very easily.

If correct Brainliest

Answers

Answer:

11y+22

Step-by-step explanation:

Answer and Step-by-step explanation:

For this equation, you need to use the distributive property. Before we can solve this, we need to know what the distributive property is. (Important:) The distribute property is where a number is directly outside the parenthesis and is multiplied to each number inside the parenthesis.

With that being said, let's rewrite this expression. Because 11 is outside the parenthesis, multiply it to each of the numbers inside the parenthesis. The numbers 11 x 2 = 22, so:

(y + 2)11 = 11y + 22.

We can remove the parenthesis now that the equation has changed. The reason why the 11 is in front of the y is because it is a coefficient. Coefficients always are written before a variable, which is the y in this case.

So, the answer is 11y + 22.

I hope that this helps.

write 34.24 as a mixed numbers ​

Answers

Answer:

34 6/25

Step-by-step explanation:

A mixed number is a whole number in front of a fraction. Keep 34 as the whole number. .24 is really 24/100, but you can simplify it to 6/25.

Explain how you can use fractions greater than 1 to subtract mixed numbers.

Answers

Hope this helps u !

The number of calories in a sample of hamburgers from six fast food restaurants are
360 310 280 330 310 340
What is the mean

Answers

Answer:

The mean is 321.67 which can be rounded to 321.7 or 322

Step-by-step explanation:

360+310+280+330+310+340 = 1930

1930 / 6 = 321.666666667

The mean is 321.67 which can be rounded to 321.7 or 322

Hope this helps!

what are the factors of -30 and the sum of 4?​

Answers

Answer:

Answer: 30 = 1 x 30, 2 x 15, 3 x 10, or 5 x 6. Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30. Prime factorization: 30 = 2 x 3 x 5.

Step-by-step explanation:

Still stuck? Get 1-on-1 help from an expert tutor now.

Answer: 30 = 1 x 30, 2 x 15, 3 x 10, or 5 x 6. Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30. Prime facto...... 30 = 2 x 3 x 5.

sorry if im  wrong and have a wonderful day!!!!!

Activity
In this activity, you will first find the cubes of positive and negative numbers and
then find whether the solution to an equation is a perfect cube.
Question 1
Part A
Complete the table by cubing each positive x-value.
PLS HELPPP???!!

Answers

Answer:

2 8

3 27

4 64

5 125

6 204

7 343

8 512

9 729

10 1000

GIVING BRAINIEST IF CORRECT!!!!


Kelsey and Jeffrey were deciding how best to factor the expression 4x^2 - 100. Kelsey said this is a GCF question, but Jeffrey said it is a DOTS question. Who is correct and why?

Answers

Answer:

4 ( x - 5 ) x ( x + 5 )

Step-by-step explanation:

1- Factor the expression

2- Factor the expression

Answer:

They are both correct because you should use both to solve the question. To solve it you will have to find the GCF first and then you find the difference of two squares.

Step-by-step explanation:

4x^2 -100

[tex]4(x ^{2} - 25)[/tex]

This would be finding the Greatest common factor

[tex]4(x - 5)(x + 5)[/tex]

This would be finding the difference of two squares

hopefully this is a good enough explanation

Other Questions
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Archibald Gracie, Hugh Woolner, other friends tried in vain to make her go. Then Woolner turned to Mr. Straus: Im sure nobody would object to an old gentleman like you getting in . . . I will not go before the other men, he said, and that was that. Then he and Mrs. Straus sat down together on a pair of deck chairs.A Night to Remember,Walter LordWhat do readers learn about Mr. Straus from this conversation?He wants the crewmen to let him on a lifeboat, because he is old.He is proud and does not let his age get in the way of what he thinks is right.He does not like being told what to do by other men.He lets his wife tell him what to do, even if the situation is unsafe. Samir is watching waves hit a beach. He notices that as the waves get closer to the shore (where the water is shallow), they change direction. Which type of wave effect is he seeing? Pardis recently deposited $5,000 in a savings account that pays a return of 2 percent per year. Explain why her investment will grow over the years. What opposing force will impact the value of her investment? 5227 grams of iron is how many moles? Where did Elizabeth Cady Stanton experience discrimination? A) an anti-slavery conference in LondonB) an anti-slavery conference in Seneca FallsC) a women's rights conference in LondonD) a women's rights conference in Seneca Falls PLEASE HELP ME OUT! I'll give brainliest!! 64x-16 I need 3 equivalent expressions Describe the relationship between Lords and kings feudal society What two other secrets does young Myers have? 6/91/2=please simplifyplease and thank you