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kolbaska11 [484]
3 years ago
15

What two numbers add to the sum of 126 but multiply to make 3024?

Mathematics
1 answer:
melomori [17]3 years ago
6 0

Answer:

I think it's 24, but if it's not then I'm really sorry.

Step-by-step explanation:

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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
3 years ago
One of the radioactive isotopes used in chemical and medical research is iodine-125, which has a half-life of 61 days. how long
Oksana_A [137]

Answer:122 days

Step-by-step explanation:

5 0
1 year ago
A stamp club president equally distrubutes two different sets of stamps among club memebers. One set contains 18 stamps. The oth
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Lalalalakalalatralalalalalaltralalalalala
7 0
3 years ago
A line passes through the points (-3, 14) and (-1, 16). What is its equation in slope-intercept form?​
timurjin [86]

Answer:

y = 6x + 22

General Formulas and Concepts:

<u>Pre-Alg</u>

  • Order of Operations: BPEMDAS

<u>Algebra I</u>

Slope Formula: m=\frac{y_2-y_1}{x_2-x_1}

Slope-Intercept Form: y = mx + b

  • m - slope
  • b - y-intercept

Step-by-step explanation:

<u>Step 1: Define</u>

Point (-3, 14)

Point (-1, 16)

<u>Step 2: Find slope </u><em><u>m</u></em>

  1. Substitute:                    m=\frac{16-14}{-1+3}
  2. Subtract/Add:               m=\frac{12}{2}
  3. Divide:                           m=6

<u>Step 3: Find y-intercept </u><em><u>b</u></em>

  1. Define:                    y = 6x + b
  2. Substitute:              16 = 6(-1) + b
  3. Multiply:                  16 = -6 + b
  4. Isolate <em>b</em>:                 22 = b
  5. Rewrite:                   b = 22

<u>Step 4: Write linear equation</u>

y = 6x + 22

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3 years ago
How can you solve x-8y=40?
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Simplifying&#10;x + -8y = 40&#10;&#10;Solving&#10;x + -8y = 40&#10;&#10;Solving for variable 'x'.&#10;&#10;Move all terms containing x to the left, all other terms to the right.&#10;&#10;Add '8y' to each side of the equation.&#10;x + -8y + 8y = 40 + 8y&#10;&#10;Combine like terms: -8y + 8y = 0&#10;x + 0 = 40 + 8y&#10;x = 40 + 8y&#10;&#10;Simplifying&#10;x = 40 + 8y
8 0
3 years ago
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