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3241004551 [841]
3 years ago
6

Elliott is baking cookies. For one batch

Mathematics
1 answer:
Drupady [299]3 years ago
4 0

Answer:

2 cups of brown sugar and 2 cups of white sugar

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
Graph the equation y=147x+60
tiny-mole [99]
If you put the equation into graphing calculator online or manual, you can get the graph.

7 0
3 years ago
From 9:30 am to 5:45 pm, how many hours is that? Please show your work.
aalyn [17]
The answer is 8 1/4 hours
5 0
3 years ago
For the following right triangle, find the side length x. Round your answer to the nearest hundredth.
Pani-rosa [81]

Answer:

x = 14.25

Step-by-step explanation:

Start with a^2 + b^2 = c^2

a = 11

b = x

c = 18

plug in and solve

11^2 + x^2 = 18^2

121 + x^2 = 324 - Simplify

x^2 = 203 - subtract 121 from both sides

x = 14.247 rounds to 14.25 - square root on both sides

7 0
3 years ago
The perimeter of a bedroom is 88 feet. The ratio of the width to the length is 5:6. What are the dimensions of the bedroom?
Elza [17]

Answer:

20 feet wide, 24 feet long

Step-by-step explanation:

Let x - width, y - length.

The perimeter is given by the formula:

P = 2*(width + length) or using x, y

P = 2*(x + y) = 88

x + y = 44

And we know that the ratio between the sides is 5/6:

x/y = 5/6. x is on top because the length is bigger than the width

x = 5y/6

Plug this in the first expression:

y + 5y/6 = 44. Muliply by 6

6y + 5y = 264

11y = 264

y = 264/11 = 24.

So x = 5(24)/6  = 20

7 0
3 years ago
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