The Jacksons and the Simpsons were competing in the final leg of the Amazing Race, which was 240240240 kilometers long. In their race to the finish, the Jacksons immediately took off traveling at an average speed of vvv kilometers per hour. The Simpsons' start was delayed by an hour. When they eventually took off, they traveled at an average speed that was 404040 kilometers per hour faster than the Jacksons' speed. Sadly for them, that didn't help, and the Jacksons won. Write an inequality in terms of vvv that models the situation.

Answers

Answer 1

Answer:

240/(v+40) + 1 > 240/v

Step-by-step explanation:

Both parties traveled a distance of 240 km.

Simpsons took off at average speed of 40 km/h & 1 hour later: 240/(v+40) + 1

Jacksons took off at average speed of v km/h:  240/v

Answer 2

An inequality in terms of v that models the situation is; [240/(v + 40)] + 1 > 240/v

How to write an inequality?

We are told that distance travelled by both Jackson and Simpson is 240 km each.

Jacksons took off at average speed of v km/h. Thus, their time taken is 240/v

The Simpsons took off at an average speed of 40 km/h faster than Jacksons Speed. Since their start was delayed by an hour, then;

Time taken = [240/(v + 40)] + 1

Thus, the inequality that models the situation is; [240/(v + 40)] + 1> 240/v

Read more about Inequality at; https://brainly.com/question/25275758

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Related Questions

1/2 plus 1/8 equals.

Answers

Answer:

5/8

Step-by-step explanation:

hiii

5/8 you’re welcomeee

Mr. Jackson has just finished building his treehouse and still needs to buy a ladder to be attached to the ledge of the treehouse and anchored at a point on the ground, as modeled below. Mr. Jackson is standing 1.3 meters from the stilt supporting the treehouse. This is the point on the ground where he has decided to anchor the ladder. The angle of elevation from his eye level to the bottom of the treehouse is 56 degrees. Mr. Jackson's eye level is 1.5 meters above the ground. Determine and state the minimum length of a ladder, to the nearest tenth of a meter, that Mr. Jackson will need to buy for his treehouse. (do not round until the very end)

Answers

Answer:

The length of the ladder Mr. Jackson will need to buy for his treehouse is approximately 3.7 meters

Step-by-step explanation:

The parameters given in the question are;

The horizontal distance from the point Mr. Jackson has decided to anchor the ladder to the the stilt supporting the tree house = 1.3 meters

The angle of elevation from Mr. Jackson's eye level to the bottom of the treehouse = 56°

The height of Mr. Jackson's eye level from the ground = 1.5 meters

From the question, we can draw the geometry of the ladder attached to the treehouse using Microsoft Visio as shown in the attached diagram

From the diagram, by trigonometric ratios, we have;

tan(56°) = a/1.3

∴ a = 1.3 × tan(56°) ≈ 1.927

By Pythagoras' theorem, we have;

The length of the ladder = √((a + b)² + 1.3²)

From the drawing, b = 1.5 m

Therefore, we have

The length of the ladder = √((1.927 + 1.5)² + 1.3²) ≈ 3.6653

The length of the ladder without rounding = √((1.3 × tan(56°)  + 1.5)² + 1.3²) = 3.66559488352

∴ The length of the ladder given to the nearest tenth of a meter ≈ 3.7 m

The length of the ladder Mr. Jackson will need to buy for his treehouse ≈ 3.7 m.

Describe a real-world object that would be measured using square units and another that would be measured using cubic units. Explain.

Answers

Answer:

Volume or amount to f water in a jug

The size of a plot of land.

Step-by-step explanation:

The volume of capacity which a certain container can hold such as ; The amount water which can be filled into a cylindrical jug will be measured in cubic units as it requires the multiplication of 3 measured sides of the container ; for a cylinder, radius is squared and multiplied by height. (radius * radius * height).

The size or area of rectangular garden is measured using in square units as it only takes into consideration 2 of the measured parts of a shape.

use the substitution method to solve
3x + 2y=12
y=2x -1​

Answers

Answer:

1. y=2

2. y= - 2

Step-by-step explanation:

Thats my answer hope it helps

Answer:

the solution is : (2 , 3)

Step-by-step explanation:

hello :  here is an solution

3x + 2y=12.....(*)

y=2x -1​.....(**)

put the value for y  in (*) :

3x + 2(2x-1)=12

3x+4x-2 = 12

7x =14

so : x =2

but : y=2x -1

y =2(2)-1 = 3

the solution is : (2 , 3)

What’s the answer???

Answers

Answer:

The answer will be A

As 75 - 12 should be equal to 9x

So answer is "A"

What’s the answer????

Answers

Answer:

X = 9

Step-by-step explanation:

A circular region with a 6 mile radius has a population density of 50 people per square mile. Find the number of people that live in the region

Answers

Answer:

population = 5652 people

Step-by-step explanation:

area = πr² = (3.14)(6²) = 113.04 mi²

at 50 people/mi², then 113.04 x 50 = 5652 people

What is the probability the spinner will land on pink or an even number?

Answers

Answer:

Step-by-step explanation:

he probability of the spinner landing on an even number  is 1/6.

Give me the answers for these and i’ll paypal you 5$

Answers

Answer:

Its 27

Step-by-step explanation:

Trust me i am Albert Einstein  and I dont need Paypal Money.

Two points on a linear graph are as follows: (-2, 3) & (4, 7). What is the slope of this line?

Answers

Answer:

slope is   10

Step-by-step explanation:

i graphed it using demos calculator

Can y’all please help me

Answers

Answer:

its 3

Step-by-step explanation:

how many solutions will this quadratic equation x^2+8x+16 has?

Answers

hii i think it’s 3 i’m not sure tho bestue

Answer:

one solution

Step-by-step explanation:

to find out how many solutions a quadratic equation (with the equation ax²+bx+c) will have, we need to find the discriminant, which is b²-4ac

first, we can label the coefficients as a, b, and c

a=1 (1 is in front of x²)

b=8

c=16

now substitute into the formula

D=(8)²-4(1*16)

D=64-64

D=0

the discriminant is 0

when the discriminant is 0, that means the quadratic equation only has one solution.

Hope this helps!

FINDING THE AREA OF A NONRIGHT TRIANGLE USING THE BOX METHOD.

Answers

Answer:

Step-by-step explanation:

thank you so much. thank you.

A full tub of water weighs 3 1/8 pounds. If the tub is filled up only 1/7 full how much would it weigh?

Answers

Answer:

[tex]\frac{25}{56}[/tex] pounds

Step-by-step explanation:

By using unitary method,

∵ 1 full tub of water weighs = [tex]3\frac{1}{8}[/tex] pounds

∴ [tex]\frac{1}{7}[/tex] of a water tub will weigh = [tex]3\frac{1}{8}\times \frac{1}{7}[/tex]

                                               = [tex]\frac{(24+1)}{8}\times \frac{1}{7}[/tex]

                                               = [tex]\frac{25}{56}[/tex] pounds

Therefore, water filled in [tex]\frac{1}{7}[/tex]th part of the tub will weigh [tex]\frac{25}{56}[/tex] pounds.

The weight of the tub if filled up to 1/7 full is 25/56 pounds

How to find product of fraction

Given:

Full weight of tub = 31/8 pounds

If filled halfway:

= 1/7 × 3 1/8

= 1/7 × 25/8

= (1 × 25) / (7 × 8)

= 25/56 pounds

Therefore, the weight of the tub if filled to 1/7 of the capacity is 25/56 pounds

Learn more about fraction:

https://brainly.com/question/11562149

//5. Use substitution to solve the system of equations
3x - y = 4
2x - 3y = 9
Solution: (
)

Answers

Answer: (3,5)

Step-by-step explanation:

y=3x-4

2x-3y=-9

2x-3(3x-4)=-9

2x-9x+12=-9

7x=21

x=3

y=3(3)-4

y=5

I dont know if i did this right i wanted to know if someone could check for me

Answers

Answer:

I think 5 is wrong but 1 and 4 are right

I think the answer would be 5 and the reason why is because

A pet supply company makes a 5-gallon aquarium with a 10 inch by 10 inch base and a height of 14 inches. A museum wants to special-order a 135-gallon aquarium with the same shape. Find the new dimensions (length, width and height) of the new aquarium. Show or explain your work.​

Answers

New dimensions: 72 in for the length, 18 in for the width and 24 in for the height the volume in liters for these dimensions is-509.....but in gallons it’s 135

Hope this helps

GUYSSS PLS IM RUNNING OUT OF TIME ANY HELPPPP

Answers

Answer:

Welp, good luck the answer is c

Step-by-step explanation:

good luck but i don’t know the answer

If you answer all 4 i will give you brainliest please answer ASAP

Answers

Answer:

9. The graph will shift down 2 units

10. The graph will be moved right by 4 units

11.  The graph will be vertically stretched by 2 units

Step-by-step explanation:

PLEASE MARK AS BRAINLIEST! HOPE THIS HELPS! :)

How do I do this problem?

Answers

Answer: calculate x e it says and it = 6

Step-by-step explanation:  hope this helps pls give me brainly

Does anyone know 12 x 25 in distributive property?

Answers

Answer:

5(2.4*5)

Step-by-step explanation:

You can divide each of those numbers by any numbers then put it outside the parenthesis

HELP ASAP
Find the percent change to the nearest whole percent.
From 45 feet to 95 feet . A. 53% decrease
B. 53% increase
C. 111% decrease
D. 111% increases

Answers

The percentage change is B. 53% increase

What is the value of a missing angle

Answers

Answer:

63°

Step-by-step explanation:

First, by looking at the angle we see that the overall angle is a right angle. This means that the total will add up to 90°.

Knowing this we can then subtract

90° - 27° = 63°

Answer:

63

Step-by-step explanation:

The measure of a right angle is always 90 so

90-27=63

Jean can pack 5 cartons in 15 minutes. Which expression can be used to show the number of cartons Jean can pack in x hours? Group of answer choices

Answers

Answer: 20x

Step-by-step explanation:

First we should note that 60 minutes = 1 hour. Therefore, 15 minutes = 15/60 = 1/4 hour

Since Jean can pack 5 cartons in 1/4 hours, the number of carton that he can pack in one hour will be:

= 5 ÷ 1/4

= 5 × 4

= 20 cartons.

Therefore, to get the number of cartons that Jean can pack in x hours, we will multiply 20 by x. This will be:

= 20 × x

= 20x

Original price of concert tickets: $100.00 Discount: 21% - What is the sale price
of the ticket? *

Answers

Answer:

The sale price is 79 dollars :P

Step-by-step explanation:

uhhh just subract 100 - 21 and yea you should get 79. :)

Which expression is equivalent to the series shown?
125
Σ
n=17
45n

Answers

Answer: it’s b on edg

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

The area is approximately ___ square units.

Use 3.14 for π.

Answers

Answer:

A = 914 units

Step-by-step explanation:

The figure consists of a rectangle and a circle.

The sides of rectangle are 30 units and 20 units

The diameter of circle is 20 unit

Radius = 10 units

Required area = area of rectangle + area of circle

[tex]=l\times b+\pi r^2\\\\=30\times 20+3.14\times 10^2\\\\=914\ units[/tex]

So, the area of the figure is equal to 914 units.

Help just do number 7 please

Answers

Inches more: 19.1

Days more: 39

Step by step: 47.71 - 28.61 = 19.1

Step by step 2: 124 - 85 = 39

Answer:

asheville go 19.1 more inches of rain than wichita.

it rained 39 more days in asheville than Wichita.

Step-by-step explanation:

47.71 inches - 28.61 inches = 19.1 inches

124 days - 85 days = 39 days

Hope this helps❤

What is the area of the figure? Please help, will give brainliest

Answers

Answer:

4

Step-by-step explanation:

I require help with this problem.
Part A
Storage locker A is 6 feet wide, 6 feet deep, and has a height of 9 feet. Storage locker B has a volume of 306 cubic feet. Which storage locker is bigger? Enter the volumes to explain your answer.

Locker ___ is bigger. Locker A has a volume of ___ cubic feet, while Locker B has a volume of 306 cubic feet.

Part B
The monthly rent for Locker A is $0.35 per cubic foot. The monthly rent for Locker B is $0.40 per cubic foot. How much does it cost to rent the largest locker each month?
___$

Answers

Answer:

a.) Locker A is bigger. Locker A has a volume of 324 cubic feet, while Locker B has a volume of 306 cubic feet.

b.) it cost $113.40 per month

Step-by-step explanation:

a.) 6x6x9= 324ft3 and thats larger than 306 cubic feet

b.)324*0.35=113.4

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