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KiRa [710]
3 years ago
13

Catherine is a sixth grader at her school. The sixth graders are collecting food items to donate to the local shelter. Their goa

l is for each sixth grader to collect at least 512 pounds of food. Catherine has already collected 134 pounds of food. If she collects 114 pounds of food each day, how many days will it be till she has at least 512 pounds of food?
Mathematics
1 answer:
Goryan [66]3 years ago
3 0

Answer:A= 7

Step-by-step explanation:

y=mx+b

512=114x+134

subtract 134 from both sides of the equation,

378=114x

Divide 144 from both sides of the equation to get x by itself

x=6.25

you'll round up because you can't really have a quarter day.

A= 7

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Vedmedyk [2.9K]
Set up a system of equations:

2x+3y=6
x-3y=9

You can solve this with elimination by adding the two equations together:

3x+0y = 15
3x=15
x=5

Then, plug this value back into either of the original equations to find the y value:

5-3y=9
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y= -4/3

The point of intersection is (5,-4/3)
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3 years ago
Why is 1/3 bigger than 4/5
UkoKoshka [18]
1/3 is in fact NOT larger than 4/5. 4/5 is larger than 1/3.
4 0
3 years ago
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What is the pattern in the values as the exponents increase?
nirvana33 [79]

Answer:

"Multiply the previous value by 2"

Step-by-step explanation:

Let's check the first 2 terms for all the answer choices.

1. Add \frac{1}{16} to the previous value:

\frac{1}{32}+\frac{1}{16}=\frac{3}{32}

Doesn't match.

2. Subtract \frac{1}{16} from the previous value:

\frac{1}{32}-\frac{1}{16}=-\frac{1}{32}

Doesn't match.

3. Divide the previous value by 2:

\frac{\frac{1}{32}}{2}\\=\frac{1}{32}*\frac{1}{2}=\frac{1}{64}

Doesn't match.

4. Multiply the previous value by 2:

\frac{1}{32}*2=\frac{2}{32}=\frac{1}{16}

DOES WORK!

Also, doing the same thing with all the other values would give us matching answer. So this choice is right.

7 0
2 years ago
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aliina [53]

Answer:

29.42 units

Step-by-step explanation:

<u>1) Find the perimeter around the semi-circle</u>

To do this, we find the circumference of the circle using the given diameter:

C=\pi d where d is the diameter

Plug in 6 as the diameter

C=\pi (6)\\C=6\pi

Divide the circumference by 2

\frac{6\pi }{2} \\= 3\pi

Therefore, the perimeter around the semi-circle is 3π units.

<u>2) Find the perimeter around the rest of the shape</u>

Although it's impossible to determine the lengths of the varied sides on the right side of the shape, we know that all of those <em>vertical</em> sides facing the right add up to 6. We also know that all of those <em>horizontal </em>sides facing up add up to 7. Please refer to the attached images.

Therefore, we add the following:

7+6+7

= 20

Therefore, the perimeter around that area of the shape is 20 units.

<u>3) Add the perimeter around the semi-circle and the perimeter around the rest of the shape</u>

20+3\pi \\= 20+9.42\\= 29.42

Therefore, the perimeter of the shape is approximately 29.42 units.

I hope this helps!

3 0
2 years ago
What is the simplest form of x²+5x-6/x²+9x+18
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Answer:

(x - 1) / (x + 3).

Step-by-step explanation:

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Factoring top and bottom:

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= (x - 1) / (x + 3) (answer).

4 0
2 years ago
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