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3 years ago

12

of the six graders in a school, 4/5 play at least one sport. Of those, 2/3 play on a team. What fraction of the six graders play

a sport on a team

1 answer:

malfutka [58]3 years ago

7 0

Only 4 kids play sports 2/3 will play on a team. 4/1 x 2/3 = 8/3 = 2 2/3

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Graph the inequality y>x-2

Anna35 [415]

Answer: 2

Step-by-step explanation:

8 0

3 years ago

State whether the given measurements determine zero, one, or two triangles.

ohaa [14]

Answer:

One

Step-by-step explanation:

Find the value of B

Applying the law of sines

$\frac{a}{sin(A)}$ = $\frac{b}{sin(B)}$

substitute the given values

$\frac{23}{sin(61)}$ = $\frac{24}{sin(B)}$

sin (B) = $\frac{24}{23}$ Sin(61)

step 2

Find the measure of angle C

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

so

61 + 65.87 + C = 180

C = 53.13

step 3

Find the value of c

Applying the law of sines

$\frac{a}{sin(A)}$ = $\frac{c}{sin(C)}$

substitute the given values

$\frac{23}{sin(61)}$ = $\frac{c}{sin(53.13)}$

c = $\frac{23}{sin(61)}$ SIN (53.13)

C=21.04 units

so

there can only be one value for each measurement, therefore there can only be one triangle

4 0

3 years ago

A line intersects the points (-4,6) and (-2,5). what is the slope intercept equation for this line

kompoz [17]

First find the slope of the line connecting these two points:

6-5

m = ------------ = -1/2

-4+2

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Next, subst. 5 for y and -2 for x, and find b:

5 = (-1/2)(-2) + b, or 5-1=b. Then b = 4, and

the equation of the line is y = (-1/2)x + 4.

7 0

4 years ago

Read 2 more answers

The RANGE of the function is

forsale [732]

Answer:

Range is [1, ∞)

Step-by-step explanation:

The values of x can be 1 up to infinity (the domain).

When x = 1 , f(x) = 1^2 = 1

when x = ∞, x^2 = ∞

So the range is [1, ∞)

5 0

3 years ago

P(x)=-2(x-3)(x-11)P(x)=−2(x−3)(x−11)

ella [17]

Answer:

$P(x)=-2x^2+28x-66$

Step-by-step explanation:

$P(x)=-2(x-3)(x-11)\\\\P(x)=-2(x^2-3x-11x+33)\ \ \ \ \ \ multiplication\ of\ (x-3)\ and\ (x-11)\\\\P(x)=-2(x^2-14x+33)\ \ \ \ \ \ \ distributive\ property\\\\P(x)=-2x^2+28x-66$

3 0

3 years ago