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2 years ago

11

The 80 eighth graders took a trip to Washington DC. The boys numbered 16 fewer than twice the number of girls. How many of the e

ighth graders are girls?

1 answer:

SpyIntel [72]2 years ago

4 0

Answer:

32

Step-by-step explanation:

pls find the attached image

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If the product of six tenths and three tenths is subtracted from the sum of two tenths and four tenths, what

MakcuM [25]

Answer:

$-\frac{1}{200}$

Step-by-step explanation:

$\frac{6}{10}$ × $\frac{3}{10}$ - $\frac{2}{10}$ + $\frac{4}{10}$

$\frac{6}{10}$ × $\frac{3}{10}$ = $\frac{18}{100}$

$\frac{18}{100}$ - $\frac{2}{10}$ = $-\frac{1}{50}$

$-\frac{1}{50}$ + $\frac{4}{10}$ = $\frac{1}{200}$

5 0

3 years ago

Write the ratio 41 to 100 as a percent

tia_tia [17]

Answer:

$41\%$

Step-by-step explanation:

we have the ratio

$\frac{41}{100}$

To write as percent, multiply the ratio by 100

so

$\frac{41}{100}*100=41*100/100=41\%$

3 0

3 years ago

Write an inequality that would include (1,2) in the solution, but not (-3,8).

tester [92]

'Of' in math means 'multiplied by,' so the equation that we can set up is:

So your answer is 320.

8 0

3 years ago

Please help!! This is so confusing! 100 points!!

masya89 [10]

Answer:

The value of the expression given is:

4

Step-by-step explanation:

First, you must divide the expression in three, and to the final, you can multiply it:

[(3^8)*(2^(-5))*(9^0)]^(-2)
[(2^(-2))/(3^3)]^4
3^28

Now, we can solve each part one by one:

<em>First part. </em>

3^8 = 6561
2^(-5) = 0.03125
9^0 = 1 (Whatever number elevated to 0, its value is 1)
(6561 * 0,03125 * 1) = 205.03125

And we elevate this to -2:

205.03125^-2 = 2<u>.378810688*10^(-5)</u> or <u>0.00002378810688 </u>

<em>Second part. </em>

2^(-2) = 0.25
3^3 = 27
0.25 / 27 = 9.259259259 * 10^(-3) or 0.00925925925925

And we elevate this to 4:

0.00925925925925^4 = <u>7.350298528 * 10^(-9)</u> or <u>0.000000007350298528 </u>

<em>Third Part. </em>

3^28 = <u>2.287679245 * 10^13</u> or <u>22876792450000</u>

At last, we multiply all the results obtained:

0.00002378810688 * 0.000000007350298528 * 22876792450000 = <u>3.999999999999999999</u> approximately <u>4</u>

<u><em>We approximate the value because the difference to 4 is minimal, which could be obtained if we use all the decimals in each result</em></u>.

3 0

3 years ago

Read 2 more answers

What are the exact solutions of x2 − 5x − 7 = 0, where x equals negative b plus or minus the square root of b squared minus 4 ti

Marat540 [252]

Answer:

$x = \frac{5 + \sqrt{53}}{2}$ or $x = \frac{5 - \sqrt{53}}{2}$

Step-by-step explanation:

Given

$x^2 - 5x - 7 = 0$

Required

Solve for x using:

$x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}$

First, we need to identify a, b and c

The general form of a quadratic equation is:

$ax^2 + bx + c = 0$

So, by comparison with $x^2 - 5x - 7 = 0$

$a = 1$ $b = -5$ $c = -7$

Substitute these values of a, b and c in

$x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}$

$x = \frac{-(-5) \± \sqrt{(-5)^2 - 4 * 1 * -7}}{2 * 1}$

$x = \frac{5 \± \sqrt{25 +28}}{2}$

$x = \frac{5 \± \sqrt{53}}{2}$

Split the expression to two

$x = \frac{5 + \sqrt{53}}{2}$ or $x = \frac{5 - \sqrt{53}}{2}$

To solve further in decimal form, we have

$x = \frac{5 + 7.28}{2}$ or $x = \frac{5 - 7.28}{2}$

$x = \frac{12.28}{2}$ or $x = \frac{-2.28}{2}$

$x = 6.14$ or $x = -1.14$

4 0

3 years ago