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frutty [35]
3 years ago
15

Write a real-world problem that could be represented by the following inequality. 70 + 5x < 30 + 15x

Mathematics
1 answer:
kondaur [170]3 years ago
4 0

Justin wants to paint his room. So he put together some quotations from two different painters. The first painter's total charge was based on the number of hours (denoted as x) worked was modeled as f( x ) = 70 + 5 x, while that of the second painter was g( x ) = 30 + 15 x. Justin knows that it will take more than 4 hours to decorate the house so he was certain to go with the first painter whose cost is low-priced when the number of hours is above 4 hours.

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schepotkina [342]

each term is negative and 1/4 of previous term so the nth term is the n-1 term times -1/4 so f(n)= -1/4 f(n-1)


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3 years ago
Miranda found 4 pieces of an ancient ceramic bowl.
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4 0
3 years ago
What is the difference between the number of solutions for a two-step equation and for a two-step inequality
Sophie [7]

Answer:

A two-step equation is something like:

A*X + B = C

In this case, like in a linear equation, we have only one solution that can be found as:

A*X = C - B

X = (C - B)/A

In the case of a two-step inequality, we have something like:

A*X + B > C

Solving this we get;

A*X >  C - B

X > (C - B)/A

In this case, any value of X that is larger than  (C - B)/A is a solution, so in this case, we have infinite solutions.

That is the difference between the number of solutions for each case, in a two-step equation we have only one, while in the case of the inequality we have infinite.

7 0
2 years ago
The width of a rectangle is 32 inches. The width of the rectangle decreased by 8 inches and its length also changed. The area of
tekilochka [14]

Answer:

60 in

Step-by-step explanation:

Area = length x width

Area is constant at 1440 in^2

For first rectangle: W1 and L1

For second rectangle: W2 and L2

W1 = 32 in

W2 = W1 - 8 in = 24 in

1440 in^2 = L1 x 32 in = L2 x 24 in

L1 = 45 in

L2 = 60 in

4 0
3 years ago
I need help I will give brainliest
Sav [38]

Answer:

#5a: After 3 weeks, they will have a total score of 415 points.

#5b: (Full work below) Kris' score: 520 ; Justin's score: 450

Step-by-step explanation:

Kris: y=370+15x\\Justin: y=400+5x

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

#5b FULL WORK BELOW

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

x=number of weeks: 10

y= total score

Use your equations.

y=370+15x\\y=370+15(10)\\y=370+150\\y=520

Kris will have 520 points.

y=400+5x\\y=400+5(10)\\y=400+50\\y=450

Justin will have 450 points.

6 0
3 years ago
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