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Gelneren [198K]
2 years ago
14

George ate 2/ 3 of a container of Chinese food. Silvia ate 1/ 5 of the same container of Chinese food. What fraction of the cont

ainer of Chinese food did they eat together?
Mathematics
1 answer:
Liono4ka [1.6K]2 years ago
4 0

Answer: Fraction of the container of Chinese food they eat together = \dfrac{13}{15}

Step-by-step explanation:

Given, Fraction of Chinese food eaten by George = \dfrac23

Fraction of Chinese food eaten by Silvia = \dfrac15

Fraction of the container of Chinese food they eat together = \dfrac23+\dfrac15 =\dfrac{2\times5+3\times1}{3\times5}

=\dfrac{10+3}{15}=\dfrac{13}{15}

Fraction of the container of Chinese food they eat together = \dfrac{13}{15}

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The radius of a sphere is 6 cm what is the volume
spayn [35]

Answer:

904.78

Step-by-step explanation:

A sphere with a radius of 6 units has a volume of 904.78 units

5 0
3 years ago
Triangle GHI is rotated 90Degrees clockwise and then reflected over the y-axis. Which congruency statement is true?
lesya [120]

The congruency statement which is true among the answer choices is;

  • On a coordinate plane, triangle G H I is rotated 90 degrees clockwise and then is reflected over the y-axis.
  • Triangle G H I is congruent to triangle G double-prime H double-prime I double-prime.

<h3>Which congruency statement is true?</h3>

According to the task content, the initial transformation is; Triangle GHI is rotated 90Degrees clockwise and then reflected over the y-axis.

On this note, the congruency which are true regarding the transformation are;

  • On a coordinate plane, triangle G H I is rotated 90 degrees clockwise and then is reflected over the y-axis.
  • Triangle G H I is congruent to triangle G double-prime H double-prime I double-prime.

This follows from the fact that the transformation.does not involved dilation by means of a scale factor and hence, size remains equal and all angle measures remain the same.

Read more on triangle congruence;

brainly.com/question/2102943

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3 0
2 years ago
A fence is being built around a rectangular garden. The length of the garden is 35 feet, and the total fencing used to enclose t
liraira [26]
The garden's width is 45. We know this because
35 \times 2
(length)
35 \times 2 + 2x = 160 \\
35x2 is 70 and you need to neutralize that by taking away 70 from both sides.
160 - 70 = 90
2x = 90
Now divide by 2 on both sides to neutralize the 2 times x.
90 \div 2 = 45
meaning that leaves us with
x = 45
3 0
3 years ago
Read 2 more answers
The pirce of an item yesterday was$125 . Today, the price fell to 75. Find the percentage decrease.
Julli [10]

Answer:

Im sure the answer is 40%

<em>GL Deary</em>

<em>Hope I helped!!!</em>

<em><3</em>

8 0
3 years ago
PLEASE!!!!! HELP ME!!!!!!
kati45 [8]

Answer:

15 = a_1 r^4 (1)

1 = a_1 r^5 (2)

If we divide equations (2) and (1) we got:

\frac{r^5}{r^4}= \frac{1}{15}

And then r= \frac{1}{15}

And then we can find the value a_1 and we got from equation (1)

a_1 = \frac{15}{r^4} = \frac{15}{(\frac{1}{15})^4} =759375

And then the general term for the sequence would be given by:

a_n = 759375 (\frac{1}{15})^n-1 , n=1,2,3,4,...

And the best option would be:

C) a1=759,375; an=an−1⋅(1/15)

Step-by-step explanation:

the general formula for a geometric sequence is given by:

a_n = a_1 r^{n-1}

For this case we know that a_5 = 15, a_6 = 1

Then we have the following conditions:

15 = a_1 r^4 (1)

1 = a_1 r^5 (2)

If we divide equations (2) and (1) we got:

\frac{r^5}{r^4}= \frac{1}{15}

And then r= \frac{1}{15}

And then we can find the value a_1 and we got from equation (1)

a_1 = \frac{15}{r^4} = \frac{15}{(\frac{1}{15})^4} =759375

And then the general term for the sequence would be given by:

a_n = 759375 (\frac{1}{15})^n-1 , n=1,2,3,4,...

And the best option would be:

C) a1=759,375; an=an−1⋅(1/15)

4 0
3 years ago
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