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notsponge [240]
3 years ago
9

Samantha surveyed 500 of the students in her school about their favorite color.

Mathematics
1 answer:
Alja [10]3 years ago
5 0
Well you start off by doing 27% of 500 which equals 135 then you minus 135 from 500 which leads you to 365 and there is your answer
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In one school, half of all students who like math like science as well. Also, in that school, a third of all students who like s
Nimfa-mama [501]

Answer:

2/3

Step-by-step explanation:

If we have 'x' students who like math and 'y' students that like science, we can formulate that:

Half of x likes math and science, and also one third of y likes math and science, so:

(1/2) * x = (1/3) * y

x / y = (1/3) / (1/2)

x / y = (1/3) * 2 = 2/3

So the ratio of the number of students who like math to the number of students who like science is 2/3

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4 years ago
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Give all solutions if the nonlinear system of equations, including those with no real complex components.
konstantin123 [22]
\left\{\begin{array}{ccc}y=x^2+6x\\4x-y=-24\end{array}\right\\\\substitute:\\\\4x-(x^2+6x)=-24\\\\4x-x^2-6x+24=0\\\\-x^2-2x+24=0\\\\a=-1;\ b=-2;\ c=24\\\\\Delta=b^2-4ac

\Delta=(-2)^2-4\cdot(-1)\cdot24=4+96=100\\\\x_1=\frac{-b-\sqrt\Delta}{2a};\ x_2=\frac{-b+\sqrt\Delta}{2a}\\\\\sqrt\Delta=\sqrt{100}=10\\\\x_1=\frac{2-10}{2\cdot(-1)}=\frac{-8}{-2}=4;\ x_2=\frac{2+10}{2\cdot(-1)}=\frac{12}{-2}=-6\\\\y_1=4^2+6\cdot4=16+24=40;\ y_2=(-6)^2+6\cdot(-6)=36-36=0\\\\Answer:\\x=4\ and\ y=40\ or\ x=-6\ and\ y=0
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What is 19.8 as a fraction
astra-53 [7]
19 8/10 and if its simplified, 19 4/5
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3 years ago
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Use the grouping method to factor x³ + x² + 3x+3.
Annette [7]

Answer:

D. (x + 1)(x^2 + 3)

Step-by-step explanation:

Hello!

We can group the first two terms and the last two terms.

<h3>Factor by Grouping</h3>
  • x^2 + x^2 + 3x + 3
  • x^2(x + 1) + 3(x + 1)
  • (x^2 + 3)(x + 1)

Factoring by grouping is the process of breaking down larger polynomials to smaller ones to factor. We can then combine like factors.

In the second step, we can see that we can rewrite x^3 + x^2 as x^2(x + 1), as both the two terms share a common factor of x^2. We can pull out x^2 from that expression. Similarly, 3x and 3 share a common factor of 3, so we can pull that out.

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2 years ago
What does<br> -$20 -$15 +$30 $2<br> Equal
ad-work [718]

Answer:

-3

Step-by-step explanation:

-20-15+30+2

-35+32

-3

4 0
3 years ago
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