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3 years ago

What's the answer? Can't figure it out

Mathematics

1 answer:

soldier1979 [14.2K]3 years ago

4 0

9x⁹ - 90x⁸ - 351x⁷

What do each of these numbers have in common?

They ALL have 9x⁷ in them!

So, divide each one of these by 9x⁷

9x⁹ ÷ 9x⁷ = 9x²

-90x⁸ ÷ 9x⁷ = -9x

-351x⁷ ÷ 9x⁷ = -39

So, factorized completely, it is :

9x² - 9x - 39

~Hope I helped!~

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Of the students attending a school party, 60% of the students are girls, and 40% of the students like to dance. After these stud

elena-s [515]

Answer:

252 students at the party like to dance

Step-by-step explanation:

Given:

60% of the students are girls

40% of the students like to dance

20 more boy students

Percentage of the girls in the party = 58%

To Find:

How many students now at the party like to dance=?

Solution:

Let the number of girls be g.

Let the number of total people originally be t.

We know that

$\frac{g}{t}=\frac{60}{100}$

$\frac{g}{t}=\frac{3}{5}$ ----------------------------------(1)

We also know that

$\frac{g}{t+20}=\frac{58}{100}$

$\frac{g}{t+20}=\frac{29}{50}$ -----------------------------(2)

We now have a system of equation from (1) and (2)

3t=5g

$g = \frac{3t}{5}$ ------------------------(3)

50g=29t+580------------------------(4)

Substituting 3 in 4, we get

$50(\frac{3t}{5})=29t+580$

$(\frac{150t}{5})=29t+580$

$30t =29t+580$

$30t -29t = 580$

t =589

So originally there was 580 students

In this 580 students 40% liked to dance

Then the number of students liked to dance =

=> $40\% \text{of} 580$

=> $\frac{40}{100} \times 580$

=> $0.4 \times 580$

=> 232

We also know that with these people, 20 boys joined, all of whom like to dance.

Now the number of students like to dance = 232+20 = 252 students

7 0

3 years ago

Your mother asked you turn the oven down to 325 f. This is 75 f less than it was. what was the original temperature.

AfilCa [17]

Answer:

400

Step-by-step explanation:

325 + 75

4 0

3 years ago

Isabelle is using a square piece of cardboard to make a box without a lid. She cuts 2-inch squares from each corner and folds up

katrin2010 [14]

<em>The dimensions of the cardboard to make a box without a lid is 11 inches by 11 inches.</em>

<h2>Explanation:</h2>

In this problem, we have that Isabelle is using a square piece of cardboard to make a box without a lid. She cuts 2-inch squares from each corner and folds up the edges. The figure below shows this statement. The finished box has a volume (V) of 98 cubic inches, in other words:

$V=98in^3$

When folding up, we get the box without lip shown in the second figure. So the volume would be:

$V=2xx \\ \\ V=2x^2 \\ \\ But: \\ \\ V=98 \\ \\ Then: \\ \\ 2x^2=98 \\ \\ x^2=49 \\ \\ x=\sqrt{49} \\ \\ x=7in$

Since te cardboard is square, then the side (s) is given by:

$s=2+x+2 \\ \\ s=2+7+2 \\ \\ s=11in$

Therefore:

<em>The dimensions of the cardboard to make a box without a lid is 11 inches by 11 inches.</em>

<h2>Learn more:</h2>

Volume of a box: brainly.com/question/10501080

#LearnWithBrainly

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3 years ago

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Answer:

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2 years ago

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Which graph represents (y-3)^2/25 + (x+1)^2/4 > 1 and y <= square root{x+5}+2

Serjik [45]

Answer: graph №2.

Step-by-step explanation:

$The\ graph\ \frac{(y-3)^2}{25}+\frac{(x+1)^2}{4} > 1\ is\ shown\ in\ fig. 1\ (see \ below).\\The\ graph\ y\leq \sqrt{x+5}+2 \ is\ shown\ in\ fig. 2\ (see\ below).\\$

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2 years ago