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aleksandr82 [10.1K]
2 years ago
15

Owen and Bella shared a granola bar. Bella ate 14 of the granola bar. Owen ate 13 of the bar. How much of the granola bar did Ow

en and Bella leave uneaten? A. 57 B. 124 C. 38 D. 512
Mathematics
1 answer:
DanielleElmas [232]2 years ago
4 0

Answer: D. \dfrac5{12}

Step-by-step explanation:

Fraction of granola bar Owen ate = \dfrac13

Fraction of bar Bella ate = \dfrac14

Whole bar is considered as 1.

Part of bar left uneaten = 1-\dfrac13-\dfrac14=\dfrac{12-4-3}{12}

=\dfrac{5}{12}

Owen and Bella left \dfrac5{12} of the bar uneaten.

Hence, the correct option is D. \dfrac5{12}

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natka813 [3]
Children’s tickets are $4, adult tickets are $14




Explanation:

4a+6c=80

If they made $4 more dollars on the second day than the first by selling one extra child ticket then we know a child’s ticket is $4 per ticket.


4a+6*4=80
4a+24=80
4a=56
14=a

So each adult ticket costs $14.


You can check by filling in $14 and $4 for each equation.


4*14+6*4=80

4*14+7*4=84
3 0
3 years ago
Which of these correctly explains the solution of the system of equations shown
borishaifa [10]

The solution of the system of equations is the point (-6, 6), so the correct option is B.

<h3>Which statements are correct about the system of equations?</h3>

Here we have the system of equations:

2x + 3y = 6

x + 3y = 12

First, let's write these two lines in the slope-intercept form:

y = (6 - 2x)/3 = 2 - (2/3)*x

y = (12 - x)/3 = 4 - (1/3)*x

Now, because "y" is the represents the same variable in both equations, we can write:

2 - (2/3)*x = y = 4 - (1/3)*x

Now we can solve that for x.

2 - (2/3)*x =  4 - (1/3)*x

2 - 4 = (2/3)*x - (1/3)*x

-2 = (1/3)*x

3*(-2) = x = -6

Now, to get the y-value of the solution we can evaluate any of the two lines in x = -6, evaluating the first we get:

y =  4 - (1/3)*x = 4 - (1/3)*(-6) = 4 + 2 = 6

Then the solution of the system is the point (-6, 6). Then the correct statement is B:

"The values of x= -6 and y= 6 satisfy both the equations; therefore, (-6, 6) is the solution."

If you want to learn more about systems of equations:

brainly.com/question/13729904

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8 0
2 years ago
Which postulate or theorem proves that △ RNM and △ QNP are congruent?
Zigmanuir [339]
SAS since ∠RNM is congruent ∠PNQ by vertical angles which will give you the angle you need for SAS.
7 0
3 years ago
Read 2 more answers
What is the volume of a square pyramid with a base length of 6cm and a height of 9cm?
emmainna [20.7K]
Answer:
Volume = 108 cm ³

Explanation:
For a square pyramid, the volume can be calculated as follows:
Volume = \frac{1}{3} * area of base * height
Volume = \frac{1}{3} * side² * height
We have:
side length = 6 cm
height = 9 cm
Therefore:
Volume = \frac{1}{3} * 36 * 9 = 108 cm ³

Hope this helps :)
8 0
3 years ago
After Squints gets the team banned from the pool, the guys from the Sandlot decide they need to build their own pool. They decid
pishuonlain [190]

Answer:

525 truckloads

Step-by-step explanation:

First we need to find the volume of the pool. This lets us know how much dirt must be moved.

25*19*5 = 2,375 cubic feet total.

Divide that by 4.53 cubic feet for each load, and we get 524.282 truckloads. Round up to the nearest integer for a final answer of 525 truckloads.

7 0
3 years ago
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