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HACTEHA [7]
3 years ago
10

HOW DO YOU WRITE AN INEQUALITY IN THE QUESTION : THE TEMPERATURE WILL BE AT LEAST 10 DEGREE FARENHIET?

Mathematics
1 answer:
Hoochie [10]3 years ago
3 0
10<x but the less than sign has a line under it.
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|9x-7|=|6x+3| Solve the inequality
dexar [7]

Answer:

x = 4/15 and x= 10/3

Step-by-step explanation:

|9x-7|=|6x+3|

There are two solutions, one positive and one negative.

(9x-7)=6x+3                   - (9x-7)=6x+3

We will take the positive one first

(9x-7)=6x+3

Subtract 6x from each side

(9x-6x-7)=6x-6x+3

3x -7=3

Add 7 to each side

3x-7+7 = 3+7

3x = 10

Divide by 3x/3 = 10/3

x = 10/3


Now we will take the negative solution

- (9x-7)=6x+3

Distribute the negative sign

-9x+7 = 6x+3

Add 9x to each side

-9x+9x+7 = 6x+9x+3

7 = 15x+3

Subtract 3 from each side

7-3 = 15x +3-3

4 = 15x

Divide by 15 on each side

4/15 =15x/15

4/15 =x

8 0
3 years ago
A baker took 9 hours to bake 6 cakes how long does it take him to bake 1 cake?
AlexFokin [52]

Answer:

1.5 hours

Step-by-step explanation:

5 0
3 years ago
A rectangular basketball court has perimeter of 232 feet. The length of the court is 32 feet greater that the width. What is the
Leviafan [203]

Answer: width = 42, length = 74

Step-by-step explanation: 42 + 32 = 74

42 + 42 + 74 + 74 = 232

6 0
3 years ago
Stefan is making new cushion covers for a chair. There are three sizes of cushions on the chair. What is the surface area of the
Valentin [98]

Answer:

990 square inches:)!

Step-by-step explanation:

i took the test >:).

8 0
3 years ago
Mr. Capildeo's salary sfter a 5% increase was $6255 (a) calculage his salary if a 3% incrwae had been given instead (b) Calculat
n200080 [17]

Answer:

Original Salary: 5,957.14

Increase in 3%: 6,135.85

Step-by-step explanation:

So when something increases by x%, the new value is (100+x)% the original value. So 6255, is 105% the original value. This means to find the original value, we have to find the number that has 6255 as 105% of it's value. Whenever you try to find x% of a number, you multiply it by the decimal value of the percentage, which is found by dividing by 100. So to find x%, you do: o*\frac{x}{100} where o = original value, x=percent. In this case the percent is 105%, which when divided by 100 is 1.05. So this gives us the equation: o*1.05=6255 \implies o = \frac{6255}{1.05} = 5,957.14. This is his original salary. You need to do this process, do not make the mistake of subtracting 5% from 6255. This is because 5% of 6255 does not equal the 5% of the original value. 5% of 6255 should be greater than 5% of the original value, since the new value is an increase of 5%. So since we have his original salary, we can calculate the salary increase had it been 3%. to do this we multiply by 1.03 (103% divided by 100). This gives us the equation: 5,957.14*1.03=6,135.85

5 0
2 years ago
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