Do linear relationships have a constant rate of change ​

Answers

Answer 1
Answer:

Answer:

Yes my son they do so yeah

Step-by-step explanation:

Cuz I know


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A piece of ribbon that is 8 and 1/3 yards long will be cut into 5 equal pieces to make bows. How much ribbon will be used foe each bow?

Answers

Answer:

yes

Step-by-step explanation:

Answer: 1 2/3 yards for each bow

Step-by-step explanation:

8 1/3 divided by 5 = 25/3 * 1/5 = 5/3

paul paints a room in 6 hours. joel paints the room in 3 hours. how long will it take them to paint togather?

Answers

Paul paints 1/6 of the room each hour.
Joel paints 1/3 of the room each hour.

Working together, they paint (1/6 + 1/3) of the room each hour.

In order to add the fractions, you need a common denominator.
6 will work:

(1/6 + 1/3) = (1/6 + 2/6) = 3/6 = 1/2

Together, they can paint at the rate of 1/2 room/hour .

This rate of work produces 2 hour/room.
(1)/(6)+(1)/(3)=(1)/(x)\n (1)/(6)+(2)/(6)=(1)/(x)\n (3)/(6)=(1)/(x)\n (1)/(2)=(1)/(x)\n x=2

2 hours

Lea walked 12 mile in 13 hour. HELP ASAP!!!How long will it take Lea to walk 214 miles?

Enter your answer as a mixed number in simplest form in the box.

hours

Answers

Takes her 20 minutes to walk 1/2 a mile
2 miles=80 minutes
1/4= 10 minutes i think
so 80+10=1 1/2

Answer:

1 1/2 hours

Step-by-step explanation:I took the test

2x^2+7x-15=0If r and s are two solutions of the equation above and r > s, which of the following is the value of r-s?

Answers

Final answer:

As per the equation, the value of r - s is 13/2.

Explanation:

A mathematical equation is a statement asserting the equality of two mathematical expressions, typically involving variables, constants, and operations. Equations help solve problems and represent relationships in various mathematical disciplines. For example, "2x + 5 = 11" is a simple linear equation.

To find the values of r and s, we need to solve the quadratic equation 2x^2 + 7x - 15 = 0.

We can factor the equation as (2x - 3)(x + 5) = 0. This gives us two possible solutions: x = 3/2 and x = -5.

Since r > s, the larger solution is r = 3/2 and the smaller solution is s = -5. The difference between r and s is therefore r - s = 3/2 - (-5) = 3/2 + 5 = 13/2.

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Final answer:

The solution to the quadratic equation 2x² + 7x - 15 = 0 are x = 5 and x = -1.5. If we define r as the larger solution and s as the smaller one, then r = 5 and s = -1.5. The difference r - s would then be 5 - (-1.5) = 6.5.

Explanation:

The given equation is a quadratic equation, which can be written in the standard form ax² + bx + c = 0. The direct solutions to this equation are given by the quadratic formula: x = [-b ± √(b² - 4ac)] / 2a.

For the given equation 2x² + 7x - 15 = 0, a = 2, b = 7, and c = -15. Plugging these values into the quadratic formula, you get the solutions x = [-7 ± √(49 - 4 × 2 × (-15))] / 4. Calculating further, you get the values x = [-7 ± √(49 + 120)] / 4 = [-7 ± √(169)] / 4. So the solutions are x₁ = 5 and x₂ = -1.5.

If we define r as the larger solution and s the smaller one, then r = 5 and s = -1.5. The difference r - s then becomes 5 - (-1.5) = 6.5.

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Five times the sum of a number and one is 115. What is the number? Use x as your variable.

Answers

The initial equation is:
5(x+1)=115

Let's transform it for x:
5x+5=115

... distract 5:
5x=110

... divide both sides by 5:
x=22
Write the follow equation accordin the text of the task:

5(x+1)=115

Solve the equation:

5(x+1)=115\n \n 5x+5=115\n \n 5x=115-5\n \n 5x=110\n \n x=(110)/(5)\n \n x=22

10. Susan wants to buy a paddle boat for $840. She will pay 20% down and pay the rest in six monthly installments. What will be the amount of each monthly payment?A. $140
B. $28
C. $168
D. $112

11. A certain alloy contains 14.25% nickel. How much nickel is there in a piece weighing 375 pounds? Round your answer to the nearest hundredth.
A. 112.49 pounds
B. 12.24 pounds
C. 53.44 pounds
D. 78.92 pounds

Answers

1. Find the 20% of 840$ : 840 x 0,2 = 168$ (She will pay 168$)
2.840-168=672$
3.672 divided by 6 = 112$ per month

Which means , d) .