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2 years ago

Which product represents the fraction of the circle that is shaded? A B C D

Mathematics

1 answer:

beks73 [17]2 years ago

3 0

Answer:
The product that represent the fraction of the circle that is shaded should be B. 1/4*2/3

Step by step explanation:
That is because when multiplied it’s 1/6.
1/4* 2/3= 2/12
2/12 /2 = 1/6

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QUESTION 1

SVEN [57.7K]

Answer:

1st Error: In going from Step 3 to Step 3.

Reason: Negative sign is not distributed inside the brackets.

2nd Error: In going from Step 5 to Step 6

Reason: Sign of the number is not changed while moving to other side of inequality,

a) 12=-4(-6x-3) and x+5=-5x+5

b) -(7-4x)=9 and 5x+34=-2(1-7x) and -8=-(x+4)

Step-by-step explanation:

Question 1)

The given inequality is:

$\frac{5}{12}-\frac{x-3}{6} \leq \frac{x-2}{3}$

Step 1: Making the denominators common for all fractions

$\frac{5}{12}-\frac{2}{2} \times \frac{x-3}{6} \leq \frac{4}{4} \times \frac{x-2}{3}$

This step is done correctly in the given solution.

Step 2: Simplifying

$\frac{5}{12}-\frac{2x-6}{12}\leq \frac{4x-8}{12}$

This step is done correctly in the given solution

Step 3: Multiplying both sides by 12, and simplifying.

$5-(2x-6)\leq 4x-8\\\\ 5-2x+6\leq 4x-8$

First error is made in this step. While opening the brackets, the negative sign should be distributed inside the bracket, which will change the signs.

Step 4: Simplification:

$11-2x\leq 4x-8$

Step 5: Moving Common terms to one side and simplifying

$-2x-4x\leq -8-11\\\\ -6x\leq -19$

Error was made in this step. When a number is moved to other side, its sign will be changed.

Step 6: Dividing both sides by -6

$x\geq \frac{19}{6}$

Conclusion:

1st Error: In going from Step 3 to Step 3.

Reason: Negative sign is not distributed inside the brackets.

2nd Error: In going from Step 5 to Step 6

Reason: Sign of the number is not changed while moving to other side of inequality,

Question 2:

In the Equation 2: 12=-4(-6x-3), when -4 will be multiplied inside the brackets, the 12 on eft hand side will cancel the 12 that will appear on right hand side, giving a result that will lead to x = 0.

Same is the case with Equation 6: x+5=-5x+5, 5 on both sides will cancel out leaving x = 0.

So, 2nd and 6th equations will have the same solution.

In Equation 1, on expanding the bracket and moving 7 to other side, we get a relation: 4x = 16

In Equation 3, on simplifying the right hand side, and carrying common terms to one side, we get the relation: - 9x = -36

In Equation 5, on expanding the bracket and simplifying the relation is reduced to 4 = x

It can be observed that all these 3 equations have the same solution i.e. x = 4

So, the following set of Equations have the same solution:

a) 12=-4(-6x-3) and x+5=-5x+5

b) -(7-4x)=9 and 5x+34=-2(1-7x) and -8=-(x+4)

6 0

3 years ago

Read 2 more answers

After a party you have 1/3 apple pie left and 5/6 pumpkin pie left. How much more pumpkin pie than apple pie is left?

motikmotik

There is 1/2 more pumpkin pie than apple pie left.

1/3 x 2 = 2/6

5/6 - 2/6 = 3/6

3/6 / 3 = 1/2

6 0

3 years ago

Determine which relation is a function.

Stolb23 [73]

I believe the answer is D b/c each input has one output

7 0

3 years ago

If two angles of a triangle each measure 54 what is the measure of the third angle

galben [10]

Well what is 180-54-54 then you will have your answer because any triangle or straight line always equals 180

6 0

3 years ago

PLs help asap :( i have no idea how to do sigma notation

svet-max [94.6K]

The correct answer is C

Sigma Notation is when we take all of the whole numbers between the starting point (which can be found as the number under the sigma sign) and the end number (which can be found above the sigma sign). Therefore, we will add together all of the values of 3k + 2 for when k is equal to all of the numbers between 2 and 7. So, let's evaluate each one first.

When k = 2

3(2) + 2 = 8

When k = 3

3(3) + 2 = 11

When k = 4

3(4) + 2 = 14

When k = 5

3(5) + 2 = 17

When k = 6

3(6) + 2 = 20

When k = 7

3(7) + 2 = 23

So we know we have the following.

8 + 11 + 14 + 17 + 20 + 23

Now for the number after the comma, we are just looking for the answer of them all added together. So the final answer should be

8 + 11 + 14 + 17 + 20 + 23, 93

6 0

3 years ago