The van traveled 120 miles in 7 hours. How long would it take to travel 1400 miles at the same speed? (A) 5/3 hrs (B) 81 2/3 hrs (C) 49/6 hrs (D)24000 hr

Answers

Answer 1

Answer:

[tex]81\frac{2}{3}[/tex] hours

Step-by-step explanation:

Hi there!

1) Create a proportion

The van traveled 120 miles in 7 hoursThe van travels 1400 miles in x hours

[tex]\frac{7h}{120mi}=\frac{x}{1400 mi}[/tex]

[tex]\frac{7}{120}=\frac{x}{1400}[/tex]

2) Solve for x

[tex]\frac{7}{120}=\frac{x}{1400}[/tex]

Multiply both sides by 1400

[tex]\frac{7}{120}*1400=\frac{x}{1400}*1400[/tex]

[tex]\frac{245}{3} =x[/tex]

[tex]\frac{245}{3} =x[/tex]

[tex]81\frac{2}{3} =x[/tex]

Therefore, it would take the van [tex]81\frac{2}{3}[/tex] hours to travel 1400 miles at the same speed.

I hope this helps!


Related Questions

The image of a point k(-3,4) under a translation 5/2 is

Answers

Answer:

try to use automath, it really helps

Explain how you would solve the problem below.



20% of 60

Answers

20% of 60 is

20 / 100 * 60

= 1200 / 100

= 12
Hope this helps

Topic 1: Translate

The sum of twice a number and 9 is -25."

Answers

Answer:

2n + 9 = - 25

Step-by-step explanation:

let the number be n then twice the number is 2n

The sum of 2n and 9 is 2n + 9

the result is - 25 , that is

2n + 9 = - 25

Answer:

x=-17

Step-by-step explanation:

The sum of twice a number and 9 is -25."

2x + 9 = -25

2x = -34

x = -17

-----------------------------------------

check

2 * (-17) + 9 = -25

-25 = -25

the answer is good

Asha bought 60 fruit baskets. 25% of the fruit baskets have 12 pieces of fruit in each basket. The remaining 75% of the baskets have 15 pieces of fruits in each basket. Complete the model. ​

Answers

Answer:

Number of baskets with 12 pieces of fruit: 15

Number of baskets with 15 pieces of fruit: 45

Step-by-step explanation:

25% x 60 = 0.25 x 60 = 15

75% x 60 = 0.75 x 60 = 45

The complete model for the given question is;

Number of fruit baskets that contain 12 fruits = 15 baskets

Number of fruit baskets that contain 15 fruits = 45 baskets

We are told that he bought 60 fruit baskets.

Percentage of the fruit baskets that have 12 pieces of fruit = 25%

Percentage of the fruit baskets that have 15 pieces of fruit = 75%

Thus;

Number of fruit baskets that contain 12 pieces of fruit = 25% × 60 = 15 baskets

Number of fruit baskets that contain 15 pieces of fruit = 75% × 60 = 45 baskets

Read more about percentages at; https://brainly.com/question/11865045

Don’t understand this math question

Answers

Answer: the answer is 5^6

Step-by-step explanation:

When you are multiplying exponents with the same base you add the exponents so 3+3=6

Un padre preocupado por motivar a su hijo en Matemáticas, se compromete a darle 1 euro por problema bien hecho, mientras que, si esta mal, el hijo le devolverá 0,5 euros. Después de realizar 60 problemas, el hijo ganó 30 euros. ¿Cuántos problemas resolvió correctamente?

Answers

Answer:

good morning I have any questions or need anything from the answer to the answer to the answer to the answer to the answer to the answer to the answer to the answer to the answer to the answer to the answer to the answer to the answer to the answer to the answer to the answer

The son solved 40 problems correctly out of the 60 problems he attempted.

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

Let's denote the number of problems the son solved correctly by "x".

According to the problem, for each correct problem, the son earns 1 euro, and for each incorrect problem, he loses 0.5 euros.

Now,

Total earnings = 1 euro (x) - 0.5 euros (60 - x)

Simplifying this expression.

Total earnings = 1.5x - 30

We are given that the son won 30 euros in total, so we can set up the equation:

30 = 1.5x - 30

Solving for x.

1.5x = 60

x = 40

Therefore,

The son solved 40 problems correctly out of the 60 problems he attempted.

Learn more about expressions here:

https://brainly.com/question/3118662


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The complete question.

A father concerned about motivating his son in Mathematics agrees to give him 1 euro for a problem well done, while if it is wrong, the son will return 0.5 euros. After doing 60 problems, the son won 30 euros. How many problems did you solve correctly?

Dr. W Sweet Rides Car Rental charges a flat fee of $24 and an additional $0.35 for every mile the car is driven. Which function models the total cost, C(x), of renting a car for x miles?

Answers

Answer:

[tex]c = 0.35 x + 24[/tex]

Step-by-step explanation:

First, let's go over the information we have. We know that no matter what, Dr. W Sweet will charge a base fee of $24, and that for each additional mile, he will charge 35¢. Now let's make an equation reflecting this information:

cost = 35¢ (number of miles) + $24 (starting fee)

We can also write this like this:

[tex]c = 0.35x + 24[/tex]

If you want to test this equation, put in a value for the x variable, like so:

Value: 25 miles

[tex]c = 0.35(25) + 24 \\ c = 8.75 + 24 \\ c = 32.75[/tex]

For this situation, the cost will be $32.75. I hope this helps! If you have questions, comment on this response, I should write back reasonably quickly.

Someone please help me with this

Answers

Answer:

0.55=c

Step-by-step explanation:

0.55(2)=c

1.10=c

The total cost is $1.10

Barron's car dealership sold only trucks and vans this week. When Baron looks at the inventory left, he noticed he sold 80 vehicles but only 10 trucks. Select all the statements that are true A This week, the ratio of trucks to vans sold was 1:7. B This week, the ratio of trucks to vans sold was 7:1. C This means for every 7 vans sold, there was 1 truck sold. D This means for every van sold, there were 7 trucks sold. E This means for every 8 vehicles sold, 1 truck was sold.​

Answers

The correct statement is  for every 8 vehicles sold, 1 truck was sold.​

Ratio expresses the relationship between two variables. It expresses the number of times one value is contained within another variable.

In this question, the ratio of trucks to vans is 10 : 80. This means that for every 10 trucks that is sold, 80 cars are sold. The given values can be expressed in its simplest form. To do this divide the numbers by 10. This gives the ratio 1 : 8. This means that for every  8 cars sold 1 truck are sold.

A similar question was answered here: brainly.com/question/411732

Sports Warehouse had a sale on two models of baseball gloves. Model A sold for $30.00, and model B sold for $45.25. A total of 52 gloves was sold. The total amount of sales earned on the gloves, excluding tax, was $2,078.50. How many model B baseball gloves were sold?

Answers

Answer:

34 Model B gloves were sold

Step-by-step explanation:

2. Use the Distributive Property to simplify the expression (1 point)
4(2x - 4)
8x + 4
8x - 4
8x - 16
4x – 16

Answers

Answer:

  (c)  8x -16

Step-by-step explanation:

The outside factor multiplies each of the terms inside parentheses.

  4(2x -4) = 4(2x) +4(-4) = 8x -16

_____

Additional comment

You can think of parentheses as a "bag". The factor outside tells you how many bags you have. When you dump that many bags (eliminate parentheses), you find that the number of each of the kinds of contents is the number in one bag, multiplied by the number of bags.

If you have 4 bags that each have 2 apples and 4 oranges, your total is 8 apples and 16 oranges.

What is the value of x?​

Answers

Answer:

Option D is correct.

Step-by-step explanation:

We can tell that

[tex]4x + \frac{x}{2} + 2 + \frac{3x-4}{2} = 180[/tex]

Now, let's simplify.

=> [tex]4x + 2 + \frac{4x-4}{2} = 180[/tex]

=> [tex]4x + 2 + 2x-2 = 180[/tex]

=> [tex]4x + 2x = 180[/tex]

=> [tex]6x = 180[/tex]

=> [tex]x = 30[/tex]

Therefore, Option D is correct.

Hoped this helped.


Shape 1 and shape 2 are plotted on a coordinate plané. Which statement about the shapes is true?

Answers

Answer:

We need to see all of the choices, but they are congruent and reflected and rotated.

Step-by-step explanation:

Find the unit rate. 400 cupcakes in 8 hours​

Answers

Answer:

50 per hour

Step-by-step explanation:

Hannah completed 40 problems in 32 minutes.
I have to put it in a unit rate pls help

Answers

Answer: 1.25 problems/min

32 minutes --> 40 problems

1 minute --> 40/32

                --> 1.25

Q.21 Tom borrowed a sum of Rs. 1200 at 12% per annum for 3years. Find the interest and amount to be paid by Tom after stipulated time. ​

Answers

The interest and amount to be paid by Tom after stipulated time is 432; 1632.

Principal=Rs1200

Rate=12%

Time=3year

Interest:

Interest=  Principal ×Rate ×Time/100

Interest=  1200×12×3/100

Interest​=Rs432

Amount:

Amount=1200+432

Amount=1632

Inconclusion the interest and amount to be paid by Tom after stipulated time is 432; 1632.

Learn more about interest here:https://brainly.com/question/25545513

We need a minimum of 30 book sales by today. If 10 books were sold yesterday, what are the possible numbers for sales today
A.b> 20
B. b> 10
C.b> 30
D.b> 20

Answers

I mean it would be A and D because I don't know why they are both the same answer. If 10 books were sold yesterday, at LEAST 20 are needed to make the goal.

Help plz, no links.

Answers

Answer:

1) g = -8 (one solution)

2) b = 0 (infinitely many solutions)

3) w = 5/6 (one solution)

4) c = 0 (infinitely many solutions)

Step-by-step explanation:

1) 1/2g -4 = 2g - 1/2g + 4

1/2g -2g +1/2 g = 8

-g = 8

2) 5.3-5.3 = 2.1b + b - 3.1b

0=0

3) 3/4w+ 3/4w = 10/4 - 5/4

3/2w = 5/4

w = (5/4) / (3/2)

w = 5/6

4) 5.7c + 3.2c - 7.8c - 1.1c = 1.5 - 1.5

0 = 0

-9y + 4x - 20 = 0
-7y + 16 - 80

Answers

Answer:

Step-by-step explanation:

Answer: y = 2 x + 22

What value of x would make △PQR~△MNL?

Answers

Answer:

The answer would be 16 bc 12/18=0.6 and 16/24=0.6 so divide 10/0.6 and it gives you 16

Step-by-step explanation:

help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
(ASAP)

Answers

Answer:

85°+8x-1+11x+1=180°(being sum of all angle in a

triangle)

or,85°-1+1+8x+11x=180°

or,84+1+19x=180°

or,85+19x=180°

or,19x=180-85

or,19x=95

or,x=95/19

x=5

The cost in dollars for a group to attend a play is represented by 72p + 250. where p is the number of people attending what is the cost for 36 people.

A. 286
B. 358
C. 2,342
D. 2,842

Answers

Based on the equation that is given, the total cost for the group to attend a play will be 2842.

From the information given, the cost in dollars for a group to attend a play is represented by 72p + 250.

Therefore, when the number of people are 36, the cost will be:

= 72p + 250

= 72(36) + 250

= 2592 + 250

= 2842

Learn more about equations on:

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solve for y
3 (3y - 5) = 34
Simplify as much as possible


:)) thxx

Answers

Answer:

y=49/9

Step-by-step explanation:

Distribute 3 with 3y and -5

3 times 3y is 9y

3 times -5 is -15

So the equation now looks like this:

9y-15=34

Add 15 on both sides:

9y=49

Divide 9 on both sides

So y=49/9

Since there is no common value to divide by y is 49/9

If you want the decimal version it is 5.44=> (=> meaning continuing forever)

Hope this helps!

-3(-3x-7)=48 please show work

Answers

Answer:

x = 3

Step-by-step explanation:

-3(-3x - 7) = 48=> 9x + 21 = 48=> 9x = 48 - 21=> 9x = 27=> x = 3

Conclusion:

Therefore, the answer is 'x = 3'.

Hoped this helped

[tex]BrainiacUser1357[/tex]

Answer:

−3(−3x−7)=48

Divide both sides by −3.

−3x−7=   48

​ Divide 48 by −3 to get −16.

−3x−7=−16

Add 7 to both sides.

−3x=−16+7

Add −16 and 7 to get −9.

−3x=−9

Divide both sides by −3.

x=  −3 −9

​ Divide −9 by −3 to get 3.

x=3

Step-by-step explanation:

2. Let f(x) = 4x + 12 and g(x) = 4x2 – 12.

(a) What is the inverse of function f?

(b) Is f an inverse of g? Show your work algebraically and explain your answer

Answer:​

Answers

Answer:

  (a) f^-1(x) = 1/4x -3

  (b) f is not the inverse of g

Step-by-step explanation:

(a)

The inverse of function f can be found by solving ...

  x = f(y)

  x = 4y +12

  x -12 = 4y

  x/4 -3 = y

The inverse of function f is ...

  f^-1(x) = 1/4x -3

__

(b)

g(x) ≠ f^-1(x), so g^-1(x) ≠ f(x). Function f is not an inverse of g.

_____

Additional comment

Function g is a quadratic, so it doesn't have an inverse function, except on a restricted domain.

Because g is 2nd degree, any inverse relation will involve a 1/2 power (square root). Both f and its inverse are linear functions, so cannot be inverses of g.

i will give you brainliest or whatever it’s called just pls answer within 45 minutes !!

Answers

Answer:

x = y1 x x1/ y2 x2

Step-by-step explanation:

ms. cox and her three friends are dining at a restaurant. the food they order cost %80. the bill includes an additional 15% service charge. how much does each person pay if they share the bill equally

Answers

did i hear help i will help you soooooooo oooooooooo

Explain what similarity means in terms of congruence and proportionality. ​

Answers

Answer:  Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion . In other words, similar triangles are the same shape, but not necessarily the same size.

Step-by-step explanation: pls give brainlist

Josiah, Nathaniel and Walden work 7,5, and 3 days respectively on a particular job. If the payment for the job is $216.00, how much did Josiah receive?
$100.80
$72.00
$43.20
$23.20

Answers

100.80 that’s how much he received

Simplify 3x + 5y + 2x – 4y

Answers

Answer:

5x + y

Step-by-step explanation:

3x + 5y + 2x – 4y=> 5x + y

Conclusion:

Therefore:

5x + y

Hoped this helped.

[tex]GeniusUser[/tex]

The simplified form of the given expression is 7x+y.

The given expression is 3x+5y+2x-4y.

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

Group the like terms and simplify, we get

(3x+2x)+(5y-4y)

= 7x+y

Therefore, the simplified form of the given expression is 7x+y.

To learn more about an expression visit;

https://brainly.com/question/28170201.

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