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3 years ago

13

for every 300 kids in high school 2/3 of them take a language. What is the value of a number of students who dont take a languag

e to the number that do?

1 answer:

Anna [14]3 years ago

3 0

All you have to do is divide 300 hundred by 3 and you get 100 students that don’t take a language So 200 students take language and 100 students don’t take language

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A homeowner uses a $10 bill to pay a neighbor for cutting his lawn. The

timama [110]

Answer:

c

Step-by-step explanation:

It has a constant value.

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3 years ago

A circle fits inside a semicircle of diameter 24mm

patriot [66]

Answer:

The shaded are is $113\ mm^{2}$

Step-by-step explanation:

we know that

The shaded area is equal to the area of the semicircle minus the area of the circle inside the semicircle

step 1

Find the area of semicircle

The area of semicircle is equal to

$A=\frac{1}{2}\pi r^{2}$

where

$r=24/2=12\ mm$ ----> the radius is half the diameter

substitute

$A=\frac{1}{2}\pi(12)^{2}=72\pi\ mm^{2}$

step 2

Find the area of the circle inside the semicircle

The area of circle is equal to

$A=\pi r^{2}$

where

$r=12/2=6\ mm$ ---> the radius of circle inside is half the radius of semicircle

substitute

$A=\pi(6)^{2}=36\pi\ mm^{2}$

step 3

Find the shaded area

$72\pi\ mm^{2}-36\pi\ mm^{2}=36\pi\ mm^{2}$

assume

$\pi=3.14$

$36(3.14)=113.04\ mm^{2}$

3 significant figures is

$113\ mm^{2}$

6 0

3 years ago

If f(x)= x2 + 1 and g(x) = 3x + 1, find 2f(1) + 3g(4)<br><br> •45<br> •43<br> •42

Alex73 [517]

Answer:

the answer is 43.

Step-by-step explanation:

We have functions

$f(x) = x^2+1$

$g(x)=3x+1,$

and we want to evaluate

$2f(1) + 3g(4)$

For this we first evaluate $f(1)$ and $g(4)$ separately:

$f(1)=(1)^2+1=2$

$g(4)=3(4)+1=13$

Therefore

$2f(1) + 3g(4)= 2(2)+3(13)=43$

So we have

$\boxed{2f(1) + 3g(4)=43}$

3 0

4 years ago

Find the 11th term of the geometric sequence of 6,-18,54...

Phoenix [80]

In this sequence, our common ratio is -3 (each value is -3 times the previous value). The first (or 1th) term of the sequence is 6, so we can form our equation:

$y=6(-3)^(^x^-^1^)$

Now we have to find the 11 term. To do so, we plug 11 into our equation where the x would be. Once that's done, we do the math as follows:

$y=6(-3)^(^1^1^-^1^)$ (plug in)

$y=6(-3)^(^1^0^)$ (simplify by subtracting 1 from 11 to get 10)

$y=6(59049)$ (simplify by calculating 3 to the power of 10 to get 59049)

$y=354294$ (solve by multiplying 6 by 59040 to get 354294

Therefore, our 11th term in the sequence is 354394.

7 0

3 years ago

Read 2 more answers

A direct variation function contains the points (-9, -3) and (-12,4). Which equation represents the function?

Triss [41]

Answer:

$y = -\frac{7x}{3} - 24$

Step-by-step explanation:

We can model this function using the equation of a line:

$y = ax + b$

Where a is the slope of the line and b is the y-intercept.

To find the values of a and b, we can use the two points given:

(-9, -3):

$-3 = a * (-9) + b$

$-9a + b = -3$

(-12, 4):

$4 = a * (-12) + b$

$-12a + b = 4$

If we subtract the second equation from the first one, we have:

$-12a + b - (-9a + b) = 4 - (-3)$

$-12a + 9a = 4 + 3$

$-3a = 7$

$a = -7/3$

Then, finding the value of b, we have:

$-12a + b = 4$

$28 + b = 4$

$b = -24$

So the equation is:

$y = -\frac{7x}{3} - 24$

3 0

3 years ago