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JulijaS [17]
2 years ago
11

Eliza brought 3 pans of homemade fruit bars to school. Her classmates ate 7/12 of each pan. Eliza gave 1 whole pan of the leftov

er fruit bars to the school's secretaries and took the rest home. Explain how to find how much of a pan of fruit bars Eliza took home.
Mathematics
1 answer:
-BARSIC- [3]2 years ago
3 0
To solve this, you have to take 7/12 out of each pan first, so how to do that is to divide each pan into 1/12. So you did that, and all three pans equal 36/12. Great. Eliza has 36/12 fruit bars. 
Now, you see that the classmates at 7/12 out of EACH. To find that out, you just multiply 7/12 by 3 which is 21/12. Subtract 21/12 from 36/12 since the classmates ate 21/12 out of the total and you get 15/12.
Now she gave 1 pan to the secretaries, which is 12/12, so you subtract that from the 15/12 you have left over. That's 3/12.

And she brought 3/12 home. You can simplify that into 1/4.
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Complete the equation describing how x and y are related. Help please!!!
Ivahew [28]

Answer:

-4

Step-by-step explanation:

Y = -4x+-2

Not quite sure how to explain it on here but substitute it and it works. :)

5 0
2 years ago
Mike has $25.00 to rent paddleboards for himself and a friend for 3 hours. Each paddleboard rental costs $3.75 per hour. Use the
avanturin [10]
<h3>It costs $ 22.5 for mike and his friend to rent paddle board for 3 hours</h3><h3>Mike has $ 2.5 remaining after rental</h3>

<em><u>Solution:</u></em>

Given that,

Mike has $25.00 to rent paddleboards for himself and a friend for 3 hours

Each paddleboard rental costs $3.75 per hour

So there are two persons = mike and his friend

1 hour = $ 3.75

Therefore, for 3 hours:

3 \times 3.75 = 11.25

<em><u>Thus for two person:</u></em>

11.25 + 11.25 = 22.5

Thus it costs $ 22.5 for mike and his friend to rent paddle board for 3 hours

Remaining amount = 25 - 22.5 = 2.5

Thus Mike has $ 2.5 remaining after rental

4 0
2 years ago
Arthur is conducting a study on the preferred study options of students from East County College. He randomly selected 32 studen
maksim [4K]
The sample size of the confidence interval test of a proportion is considered appropriately large if np and n(1 - p) > 5.

<span>Given that Arthur is conducting a study on the preferred study options of students from East County College and that 25% of those surveyed preferred studying abroad. Thus, p = 25% = 0.25 and 1 - 0.25 = 0.75

np = 32(0.25) = 8

n(1 - p) = 32(0.75) = 24

Thus, the sample size is appropriately large.

The margin of error is given by:

</span>\pm z_{ \alpha /2} \sqrt{ \frac{p(1-p)}{n} }
<span>
The </span>z_{ \alpha /2} for 95% confidence interval is 1.96

Thus, the margin of error is given by:

\pm1.96 \sqrt{ \frac{0.25(1-0.25)}{32} } =\pm1.96 \sqrt{\frac{0.25(0.75)}{32}}  \\  \\ =\pm1.96 \sqrt{ \frac{0.1875}{32} } =\pm1.96 \sqrt{0.005859375}  \\  \\ =\pm1.96(0.0765)=\pm0.15

Therefore, the statement that holds true is "a<span>s the sample size is appropriately large, the margin of error is ±0.15".</span>
8 0
2 years ago
The closest distance between Earth and Mars is approximately 3.39 × 10^7 miles. The fastest rocker leaving Eartg travels at an a
Diano4ka-milaya [45]

The expression for number of hours is: C. (3.39 × 10^7) ÷ (3.6 × 10^4)

The equations with no solutions are : A,B and C.

Step-by-step explanation:

The formula for time is distance divided by speed.

The distance given is 3.39 × 10⁷ miles.

The speed given is 3.6 × 10⁴ miles/hour

The time in hours will be = (3.39 × 10⁷ ÷3.6 × 10⁴) =941.67 hours

B.

Test to see if the equations have solutions;

(3x+4y=5)--------multiply by 6

(6x+8y=10 )-------multiply by 3

18x+24y=30

18x+24y=30 --------performing subtraction will give a zero on both sides. No  solution.

The same to option B,and C.

For option D;

3x+6y=1

x+y=0 -------this can be written as x= -y

Sustitute x=-y in the first equation

3(-y) +6y =1

-3y+6y=1

3y=1

y=1/3

But x+y=0

Hence;

x+1/3=0

x=-1/3

solution ( -1/3, 1/3)

Lean More

Formula for speed:brainly.com/question/8311838

Solving inequalities:brainly.com/question/11213549

Keywords: distance, average speed, time, equations, solutions

#LearnwithBrainly

5 0
2 years ago
to estimate the number of bison in the area, researchers put marks on 160 bison later on a flight over the area the researchers
Dvinal [7]
Its either -126 or 160
5 0
2 years ago
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