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astraxan [27]
3 years ago
10

Solve for x −7x > 10

Mathematics
1 answer:
swat323 years ago
3 0

Answer:

x <  -  \frac{5}{3}

Step-by-step explanation:

x - 7x > 10 \\ subtract \: x \: to \: 7x \\  \\  - 6x > 10 \\ divide \: both \: sides \: by \:  - 6 \\  \\ x <  -  \frac{5}{3}

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A 24 inch board is cut into 3 pieces so that the second piece is twice as long as the first and the third is 3 times as long as
Lady_Fox [76]

Answer:

The answer to your question is:  first piece = 4 in, second piece = 8 in, third piece = 12 in

Step-by-step explanation:

Data

total length = 24 inches

first piece = x in

second piece = 2x

third piece = 3x

Equation

               x + 2x + 3x = 24

               6x = 24

               x = 24/6

               x = 4               length of the first piece

second piece = 2(4) = 8 inches

third piece = 3(4) = 12 inches

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2 years ago
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A married couple had a combined annual income of 63,000. The wife made 7,000 more than her husband. What was each of their incom
Alchen [17]
The wife made 33,500 and the husband made 29,500
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3 years ago
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Trong has 12% of each paycheck automatically deposited to his savings account. His last paycheck was for $2,165. How much money
Dovator [93]
18041.66 dollars to Trongs savings account
7 0
3 years ago
See pictures attached below. Will give Brainliest!
Phoenix [80]

Question 1 Answer:

Aunt 1 and Grandma 1 would fill gift bags.

Mom and Aunt 2 would make centerpieces.

You and Grandma 2 would blow up balloons.

Since you are pairing up to complete the tasks, these pairs each have the shortest times in their respective categories and therefore are the most logical pairing to complete tasks.

Question 2 Answer:

We use algebra and our previous pairings to determine the length of each task.

<u>Gifts Bags --> 6/7 hours</u>

x = time together

\frac{1}{x} = rate of completion

Aunt 1 = \frac{1}{1.5} Grandma 1 = \frac{1}{2}

\frac{2}{3} +\frac{1}{2} = \frac{1}{x}

\frac{7}{6} = \frac{1}{x}

x = \frac{6}{7}

<u>Centerpieces --> 7/4 hours</u>

x = time together    \frac{1}{x} = rate of completion

Mom = \frac{1}{3.5} Aunt 2 = \frac{1}{3.5}

\frac{2}{7} + \frac{2}{7}  = \frac{1}{x}

\frac{4}{7} = \frac{1}{x}

x = \frac{7}{4}

<u>Balloons --> 15/16 hours</u>

x = time together    \frac{1}{x} = rate of completion

You = \frac{1}{1.5} Grandma 2 = \frac{1}{2.5}

\frac{2}{3} + \frac{2}{5}  = \frac{1}{x}

\frac{16}{15} = \frac{1}{x}

x = \frac{15}{16}

Shortest amount of time to complete all tasks is:

\frac{6}{7} + \frac{7}{4} + \frac{15}{16} = \frac{397}{112}  ≈ 3.54 hours

Converting hours to hours and minutes --> 3 hours 32 minutes

Therefore they must arrive by 5:28pm to complete the tasks in time to leave at 9:00pm.

8 0
2 years ago
Mick is planning a party. He wants to serve pizza, chips, and soda. Mick discovers that he can purchase one pizza for $11.80, on
Temka [501]

Answer:

Mick will spend $191.55

Step-by-step explanation

$11.80 times 12 is 141.6- Pizza

$1.59 times 15 is 23.85- Chips

$1.74 times 15 is 26.1- soda

141.6+23.85+26.1=191.55

Hope this helps ;)

3 0
3 years ago
Read 2 more answers
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