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dolphi86 [110]
3 years ago
13

Chad bought a box of raisins. he gave 1/6 of it to one brother, 1/4 to another brother, and he kept the rest for himself. what f

raction did he keep?
Mathematics
1 answer:
fenix001 [56]3 years ago
4 0
Greetings!

This can be solved by creating a simple equation.
1/4+1/6+x=1

Solve for x.
1/4+1/6+x=1
Find the LCM.
3/12+2/12+x=1
5/12+x=1
Add -5/12 to both sides.
(5/12+x)+(-5/12)=(1)+(-5/12)
Simplify.
x=1/1-5/12
Find the LCM.
x=12/12-5/12
x=7/12

He kept 7/12 of the raisins for himself.

Hope this helps.
-Benjamin
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Lesson Posttes
joja [24]

A translation 2 units to the left followed by dilation by 1/2.

The correct option is (B).

<h3>What is congruency?</h3>

It states that that two triangles are said to be congruent if they are copies of each other and when superposed, they cover each other exactly.

The complete question is:

Which of the following composition of transformations would create an

image that is not congruent to its original image?

A rotation of 45° followed by a reflection across the x-axis

A translation 2 units to the left followed by dilation by 1/2

A reflection across the y-axis followed by a rotation of 60°

A rotation of 135º followed by a translation of 4 units to the right.

After a translation of 2 units to the left followed by dilation by 1/2 the image will not be congruent to its original image.

All other options are reflection and rotation, which not fit into the situation.

Learn more about congruency here:

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7 0
2 years ago
On August 1, 2021, a company accepts an $8,000, 9-month note receivable. For 2021, the company reports interest revenue of $200.
erastova [34]

Answer:

6%

Step-by-step explanation:

We have to calculate the interest rate in the note, we must follow the following steps, calculate the amount of time remaining from the year 2021, as follows:

interest is for 5 months i.e. from Aug 01 to Dec 31 for year 2021 , so it means it would be 5/12 months.

We have to calculate the interest as follows:

I = P * R * T

We replace:

200 = 8000 * R * 5/12

we solve for R

200 * 12/5 = 8000 * R

R * 8000 = 480

R = 480/8000

R = 0.06

Which means that the interest rate on the note is 6%

4 0
3 years ago
The length of a rectangular poster is 9 more inches than two times its width. The area of the poster is 161 square inches. Solve
irinina [24]

Answer:

<u>Width = 7 inches</u>

<u>Length = 23 inches</u>

Step-by-step explanation:

Let :

  • length = 2x + 9
  • width = x

Equating to area :

  • (2x + 9)(x) = 161
  • 2x² + 9x = 161
  • 2x² + 9x - 161 = 0
  • 2x² - 14x + 23x - 161 = 0
  • 2x(x - 7) + 23(x - 7) = 0
  • x - 7 = 0
  • x = 7

Dimensions are :

  • <u>Width = 7 inches</u>
  • Length = 2(7) + 9
  • <u>Length = 23 inches</u>
8 0
2 years ago
Read 2 more answers
A tree farming company is testing how many items customers purchase during their visits. Based on many results, the (partial) pr
kkurt [141]

Answer:

X probability = 0.02

Cumulative frequency at x ( 6 ) = 1

Step-by-step explanation:

X       P ( X )            Cf ( X )

1        0.58                0.58

2        0.18                0.58 + 0.18 = 0.76

3        0.10                0.76 + 0.10 = 0.86

4        0.07                0.86 + 0.07 = 0.93

5        0.05                0.93 + 0.05 = 0.98

6        0.02                0.98 + 0.02 = 1

4 0
2 years ago
Which expression is the same as 10÷4?
Alex777 [14]
The answer would be D because when you divide 10 by 4 you take one fourth out of ten
4 0
3 years ago
Read 2 more answers
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