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3 years ago

Out of the 21 students in Mrs. Clark's class, 5of the class are boys and of the class are girls. How many students in the

Mathematics

2 answers:

sergeinik [125]3 years ago

8 0

Answer: 5 boys and 16 girls

aksik [14]3 years ago

5 0

Answer:

There are 4 boys and 17 girls in the class.

Step-by-step explanation:

Out of 21 students in Mrs. Clark's class, 5th of the students are boys and rest are girls.

out of 21 every 5th student is boy, so total boys are = $\frac{21}{5}$

= $4\frac{1}{5}$

The whole number is 4, so the number of boys are 4.

The number of girls = 21 - 4 = 17 girls

There are 4 boys and 17 girls in the class.

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Please simplify this please it’s due really soon!

iren2701 [21]

Step-by-step explanation:

$\frac{ {13}^{6} \div {13}^{8} \times {13}^{ - 4} }{ {13}^{ - 2} }$

You need to remember the properties of exponents: multiplication adds the exponents, division subtracts the exponents.

If you multiply two powers with the same base, the result will be the base to the sum of the powers.

If you divide two powers with the same base, the result will be the base to the difference of the powers.

In your case you will this:

${13}^{6 - 8 + ( - 4) - ( - 2)}$

That is:

${13}^{ - 4}$

Or:

$\frac{1}{ {13}^{4} }$

7 0

3 years ago

All of the expressions that have the same value as LaTeX: 892\div8892 ÷ 8. Group of answer choices LaTeX: 8920\div808920 ÷ 80 La

algol13

Answer:

$(a)$ $8920\div80$

$(e)$ $0.892\div0.008$

Step-by-step explanation:

Given

$892\div8$

Required

Select equivalent expression

$8920\div80$

$894\div10$

$89.2\div0.08$

$8.92\div0.8$

$0.892\div0.008$

Start by solving the given expression (using a calculator)

$892\div8$ $= 111.5$

Then we solve the given options (using a calculator)

$(a)$ $8920\div80$

$8920\div80$ $= 111.5$

$(b)$ $894\div10$

$894\div10$ $= 89.4$

$(c)$ $89.2\div0.08$

$89.2\div0.08$ $= 1115$

$(d)$ $8.92\div0.8$

$8.92\div0.8$ $= 11.15$

$(e)$ $0.892\div0.008$

$0.892\div0.008$ $= 111.5$

The equivalent expressions are (a) and (e)

5 0

2 years ago

To create a giant gemstone, sara first made two identical square pyramids that each had a base area of 100 square inches. Then s

inysia [295]

Answer:

8 inches.

Step-by-step explanation:

From the statement we have that they first made two identical square pyramids, each with a base area of 100 square inches.

Ab = s ^ 2 = 100

Therefore each side would be:

s = (100) ^ (1/2)

s = 10

So, side of the square base = 10 inches

Then they tell us that they glued the bases of the pyramids together to form the precious stone. The surface area of the gemstone is 520 square inches, so for a single pyramid it would be:

Ap = 520/2 = 260

For an area of the square pyramid we have the following equation:

Ap = 2 * x * s + s ^ 2

Where x is the height of each triangular surface and s is the side of the square base

Replacing we have:

260 = 2 * x * 10 + 10 ^ 2

20 * x + 100 = 260

20 * x = 160

x = 160/20

x = 8

Therefore, the value of x is 8 inches.

5 0

3 years ago

Robert invests $1,100 at an annual interest rate of 8% for the period of 1 year. What equation shows the relationship between pr

Charra [1.4K]

88 dollars hope this helps

4 0

3 years ago

Read 2 more answers

F(x) = 3 - 2x and g(x) =<br> 1/X+5 what is the value of<br> (f/g)(8)

Nina [5.8K]

9514 1404 393

Answer:

(f/g)(8) = -104/41

Step-by-step explanation:

Fill in the value for x and do the arithmetic.

f(8) = 3 -2·8 = 3 -16 = -13

g(8) = 1/8 +5 = (1+40)/8 = 41/8

Then the ratio is ...

(f/g)(8) = f(8)/g(8) = -13/(41/8) = -13(8)/41

(f/g)(8) = -104/41

8 0

2 years ago