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3 years ago

40% of the kids at the picnic went swimming if there were 25 kids, how many went swimming

1 answer:

4 0

Hey there!

To find how many kids went swimming given that there were 25 kids in total and 40% of them went swimming, you must multiply the percent by the whole:
40%*25

Before you do this, first convert the percent to a decimal:
40%=0.40

Now, multiply your expression:
0.40*25
0.40*25=10

Therefore, your final answer would be that 10 out of the total 25 kids went swimming.

Hope this helps and have a nice day! :)

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What is the geometric mean of 5 and 10?

nlexa [21]

Answer:

5 $\sqrt{2}$

Step-by-step explanation:

The geometric mean of 2 numbers a and b is

$\sqrt{ab}$

Hence

The geometric mean of 5 and 10 is

$\sqrt{5(10)}$

= $\sqrt{50}$

= $\sqrt{25(2)}$ = $\sqrt{25}$ × $\sqrt{2}$ = 5 $\sqrt{2}$

4 0

4 years ago

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Which of the following is an arithmetic sequence?

enot [183]

Answer:

The third sequence.

Step-by-step explanation:

In an arithmetic sequence, the difference between two consecutive terms is the same.

For each option, find the difference between consecutive terms:

First option:

$4 - 2 = 2$ .
$8 - 4 = 4$ .
$16 - 8 = 8$ .

The differences are not the same. As a result, this option is not an arithmetic sequence.

Second option:

$4 - 12 = -8$ .
$\displaystyle \frac{4}{3} - 4 = -\frac{8}{3}$ .
$\displaystyle \frac{16}{3} - \frac{4}{3} = \frac{12}{3} = 4$ .

The differences are not the same. As a result, this option is not an arithmetic sequence, either.

Third option:

$\displaystyle -\frac{1}{2} - \frac{1}{2} = -1$ .
$\displaystyle -\frac{3}{2} - \left(-\frac{1}{2}\right) = -\frac{3}{2} + \frac{1}{2} = -1$ .
$\displaystyle -\frac{5}{2} - \left(-\frac{3}{2}\right) = -\frac{5}{2} + \frac{3}{2} = -1$ .

The differences are all $-1$ . As a result, this option is indeed an arithmetic sequence. Its common difference is $(-1)$ .

Fourth option:

$\displaystyle -\frac{1}{2} - \frac{1}{2} = -1$ .
$\displaystyle \frac{1}{2} - \left(-\frac{1}{2}\right) = \frac{1}{2} + \frac{1}{2} = 1$ .
$\displaystyle -\frac{1}{2}\right - \frac{1}{2} = -1$ .

The differences are varying between $1$ and $-1$ . As a result, this option is not an arithmetic sequence.

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3 years ago

the difference of the square of a number and 24 is equal to 5 times that number. Find the negative solution

Kamila [148]

Answer:

n = -3

Step-by-step explanation:

The difference of the square of a number and 24 is equal to 5 times that number. Find the negative solution.

I'm going to call the number "n."

n² - 24 = 5n subtract 5n from both sides to get the equation equal to zero

- 5n -5n

n² - 5n - 24 = 0 factor the trinomial into the multiplicatin of two binomials

we need factors (numbers that multiply) to -24 that add up to

-5. The only factors for -24 that will add up to -5 are -8 and 3.

(n-8)(n+3) = 0 set each binomial equal to zero and solve for n

n-8 = 0 or n+3 = 0

+8 +8 -3 -3

n = 8 or n = -3 n = -3 is the negative solution

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3 years ago

What is the value of x? sin55°=cosx Enter your answer in the box. x = °

rodikova [14]

ANSWER

x=35°

EXPLANATION

The sine and cosine ratio are complementary trigonometric ratios.

This means that:

sin(A)°=cos(90-A)°

The given equation is:

sin(55)°=cos(x).

This implies that,

x=90-55

x=35°

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3 years ago

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pickupchik [31]

Answer:

(a/b)^3 times 2/(b^4)

2(a/b)^3times 1/(b^4)

or instead of 1/b^4 ------>b^-4

Step-by-step explanation:

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