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Hitman42 [59]
3 years ago
11

Solve the given inequality. Describe the solution set using the set-builder or interval notation. Then, graph the solution set o

n a number line 10(10m+6)<12

Mathematics
2 answers:
OLga [1]3 years ago
8 0

Answer: The answer is at least option a or b

Korolek [52]3 years ago
6 0

Answer:

B

Step-by-step explanation:

10(10m+6)<=12        

100m+60<=12       Distributive Property

100m     <=12-60

100m    <=-48

     m    <=-48/100

     m    <=-.48

This says values for m that are less than or equal to -.48

-.48 is between -1 and 0 so the answer is B

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One number is eight less than three times another number. If the sum of the numbers is 20, find the numbers.
mamaluj [8]

Answer:

7 & 13

Step-by-step explanation:

Let the first number be x

2nd number = 8 less than 3 times the other

2nd number = 3x - 8

Their sum = 20

X + 3x - 8 = 20

4x -8 = 20

Collect like terms

4x = 20+8

4x = 28

Divide both sides by 4

4x/4 = 28/4

X = 7

First number = 7

2nd number = 3x - 8

= 3(7) - 8

= 21 -8

= 13.

Therefore the numbers are 7 and 13

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Sarah took the advertising deparſment from her company on a round trip to meet with a potential client. Including Sarah a total
wlad13 [49]

Answer:

Sarah bought 7 coach tickets and 4 first class tickets.

Step-by-step explanation:

From the information provided, you can write the following equations:

x+y=11 (1)

240x+1100y=6080 (2), where:

x is the number of coach tickets

y is the number of first class tickets

In order to find the value of x and y, first you have to solve for x in (1):

x=11-y (3)

Now, you have to replace (3) in (2) and solve for y:

240(11-y)+1100y=6080

2640-240y+1100y=6080

860y=6080-2640

860y=3440

y=3440/860

y=4

Finally, you can replace the value of y in (3) to find the value of x:

x=11-y

x=11-4

x=7

According to this, the answer is that Sarah bought 7 coach tickets and 4 first class tickets.

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