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3 years ago

3 to the 10th power = 3 to the 7th power times x to the 3rd power (solve for x)

Mathematics

1 answer:

bixtya [17]3 years ago

3 0

Answer:

Step-by-step explanation:

Rewriting this sentence as an algebraic equation, we get:

3^10 = 3^7 * x^3.

Dividing both sides by 3^7 simplifies the problem:

3^3 = x^3

Here this x corresponds to the 3 in 3^3. Thus, the solution is x = 3.

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At leslie's school the ratio of boys and girls is 11 to 12 at marks school the ratio of boys girls is 41 to 48 if both schools h

Softa [21]

Answer: B. There are more boys at Mark's school than at Leslie's school because the ratio 41 to 48 is greater than the ratio 11 to 12.

Step-by-step explanation:

Here are the options:

A There are more boys at Mark's school than at Leslie's school because the ratio 11 to 12 is greater than the ratio 41 to 48.

B. There are more boys at Mark's school than at Leslie's school because the ratio 41 to 48 is greater than the ratio 11 to 12.

C. There are more boys at Leslie's school than at Mark's school because the ratio 41 to 48 is greater than the ratio 11 to 12.

At leslie's school the ratio of boys and girls is 11 to 12. This implies that the fraction of boys in the school to total students will be:

= 11/(11 + 12) = 11/23 = 0.4783

At Marks school the ratio of boys to girls is 41 to 48. Thus implies that the fraction of boys in the school to total students will be:

= 41 / (41 + 48) = 41/85= 0.4824

Based on the calculation, we can deduce that there are more boys at Mark's school than at Leslie's school because the ratio 41 to 48 is greater than the ratio 11 to 12.

6 0

3 years ago

Heres the revenue and expenses for the month. Calculate whether mia had a profite or loss

8_murik_8 [283]

Answer:

profit $450

Step-by-step explanation:

subtract 9000 (expenses) from the revenue (9450) to get $450 of profit

8 0

3 years ago

Read 2 more answers

If w = 9, x = 10, and y = 3, what does 6x over 5y equal?

nirvana33 [79]

Answer:

6x = 6 (10) => 60

5y = 5 (3) => 15

$\frac{6x}{5y} = > \frac{60}{15} = > 4$

hope that helps uhh!!

3 0

2 years ago

Read 2 more answers

The measures of the angles in △ABC are given by the expressions in the table.

spayn [35]

Answer:

Part 1) $x=25$

Part 2) $m\angle B=65^o$

Part 3) $m\angle C=50^o$

Step-by-step explanation:

step 1

Find the value of x

we know that

The sum of the interior angles in any triangle must be equal to 180 degrees

In the triangle ABC

$m\angle A+m\angle B+m\angle C=180^o$

substitute the given values

$65^o+(3x-10)^o+(2x)^o=180^o$

Solve for x

$(5x+55)^o=180^o$

$5x=180-55\\5x=125\\x=25$

step 2

Find the measure of angle B

we know that

$m\angle B=(3x-10)^o$

substitute the value of x

$m\angle B=(3(25)-10)=65^o$

step 3

Find the measure of angle C

we know that

$m\angle C=(2x)^o$

substitute the value of x

4 0

3 years ago

Read 2 more answers

Pavel and Katie share some sweets in the ratio 3: 8.

AlexFokin [52]

Answer:

Step-by-step explanation:

Katie gets 32/8 = 4 lots of sweets

Pavel gets 4 lots x 3 = 12 sweets

5 0

3 years ago