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Sveta_85 [38]
2 years ago
7

The ratio of girls to boys in he 6th grade is 6 to 7. How many girls are there if there are 364 total students

Mathematics
2 answers:
inn [45]2 years ago
4 0

If the ratio is 6:7 the students should divide nicely into 6+7=13 parts.  Six of those parts are girls, seven of those parts are boys.

364 / 13 = 28

So 6 × 28 = 168 girls

Answer: 168

Check:

7 × 28 = 196 boys

168 + 196 = 364, good



pickupchik [31]2 years ago
4 0

Answer:

168

Step-by-step explanation:

The ratio of girls to boys = 6:7

Total number of students = 364

Therefore, number of girls is given by

\frac{6}{6+7}\times\text{Total number of students}

Thus, we have

\frac{6}{6+7}\times364\\\\=\frac{6}{13}\times364\\\\=6\times28\\\\=168

Hence, number of girls = 168

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Evaluate the expression below when x = 7 and y = 8.<br> 5x2−3y
Ghella [55]

Answer:

221

Step-by-step explanation:

Substitute x = 7 and y = 8 into the expression

5(7)² - 3(8)

= 5(49) - 24

= 245 - 24

= 221

5 0
2 years ago
Nathan invested $80,000 in an account paying an interest rate of 6% compounded
bija089 [108]

Answer:

Number of year = 13 year and 6 month approx.

Step-by-step explanation:

Given:

Amount invested = $80,000

Rate of interest = 6% compounded  continuously

Future value of investment = $175,600

Find:

Number of year

Computation:

Future value of investment = Amount invested[1 + Rate of interest]ⁿ

175,600 = 80,000[1+6%]ⁿ

175,600 = 80,000[1+0.06]ⁿ

175,600 = 80,000[1.06]ⁿ

Number of year = 13.492 year

Number of year = 13 year and 6 month approx.

8 0
2 years ago
There is a one-time fee of $50 to join a gym. If the monthly membership fee is $28, how much will you have spent after 3 months
ArbitrLikvidat [17]
It would be $134
28 x 3 = 84
84 + 50 = 134
4 0
2 years ago
Juan and Raj cut up a banana to put on cereal. Juan puts 17 of the banana on his bowl of cereal, and Raj puts 25 ​ of the banana
rusak2 [61]
<h3><u>Question:</u></h3>

Juan and raj cut up a banana to put on cereal. juan puts 1/7 of the banana on his bowl of cereal, and raj puts 2/5 ​ of the banana on his bowl of cereal.

what fraction of the banana did juan and raj put on their cereal altogether?

a. 2/35 banana

b. 3/12 banana

c. 3/7 banana

d. 19/35 banana

<h3><u>Answer:</u></h3>

Juan and Raj altogether put 19/35 banana

<h3><u>Solution</u>:</h3>

Given that, Juan and Raj cut up a banana to put on cereal

fraction\ of\ banana\ put\ by\ Juan = \frac{1}{7}\\\\fraction\ of\ banana\ put\ by\ Raj = \frac{2}{5}

We have to find the fraction of banana put by Juan and Raj altogether

This means, we have to add both the fractions

fraction\ of\ banana\ put\ altogether = fraction\ of\ banana\ put\ by\ Juan + fraction\ of\ banana\ put\ by\ Raj

fraction\ of\ banana\ put\ altogether = \frac{1}{7} + \frac{2}{5}\\\\\text{Cross multiply to simplify }\\\\fraction\ of\ banana\ put\ altogether = \frac{1 \times 5 + 2 \times 7}{7 \times 5}\\\\fraction\ of\ banana\ put\ altogether = \frac{5+14}{35}\\\\fraction\ of\ banana\ put\ altogether = \frac{19}{35}

Thus they put \frac{19}{35} of banana by Juan and Raj altogether

5 0
3 years ago
Solve for x: 3x − 2 &gt; 5x + 10. (5 points)
velikii [3]

Answer:

Option 2.. x > -6

Step-by-step explanation:

3x -5x - 2 > 5x -5x + 10

-2x - 2 + 2 > 10 + 2

-2x/-2 > 12/-2

<u>x > -6</u>

5 0
2 years ago
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