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2 years ago

Mrs. Austin teaches forty-eight students. One-third of her students are out sick with the flu. How many students are sick?

Mathematics

1 answer:

Aneli [31]2 years ago

8 0

16 of the students are sick. How I got this was, divide 48 by 3 and you get 16 therefore 1/3 of 48 is 16.

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3/2000 as a decimal

Anarel [89]

Decimal

3/2000 = 0.0015

4 0

3 years ago

Please find the slope of (-2, 4) and (3, -5)

DIA [1.3K]

Answer:

The slope of the line = m = -9/5

Step-by-step explanation:

Given the points

(-2, 4)

(3, -5)

Determining the slope between (-2, 4) and (3, -5)

(x₁, y₁) = (-2, 4)

(x₂, y₂) = (3, -5)

Using the formula

Slope = m = [y₂ - y₁] / [x₂ - x₁]

= [-5 - 4] / [3 - (-2)]

= [-9] / [3 + 2]

= -9/5

Thus, the slope of the line = m = -9/5

8 0

3 years ago

Factor f(x) = 15x^3 - 15x^2 - 90x completely and determine the exact value(s) of the zero(s) and enter them as a comma separated

Illusion [34]

Answer:

$x=-2,0,3$

Step-by-step explanation:

We have been given a function $f(x)=15x^3-15x^2-90x$ . We are asked to find the zeros of our given function.

To find the zeros of our given function, we will equate our given function by 0 as shown below:

$15x^3-15x^2-90x=0$

Now, we will factor our equation. We can see that all terms of our equation a common factor that is $15x$ .

Upon factoring out $15x$ , we will get:

$15x(x^2-x-6)=0$

Now, we will split the middle term of our equation into parts, whose sum is $-1$ and whose product is $-6$ . We know such two numbers are $-3\text{ and }2$ .

$15x(x^2-3x+2x-6)=0$

$15x((x^2-3x)+(2x-6))=0$

$15x(x(x-3)+2(x-3))=0$

$15x(x-3)(x+2)=0$

Now, we will use zero product property to find the zeros of our given function.

$15x=0\text{ (or) }(x-3)=0\text{ (or) }(x+2)=0$

$15x=0\text{ (or) }x-3=0\text{ (or) }x+2=0$

$\frac{15x}{15}=\frac{0}{15}\text{ (or) }x-3=0\text{ (or) }x+2=0$

$x=0\text{ (or) }x=3\text{ (or) }x=-2$

Therefore, the zeros of our given function are $x=-2,0,3$ .

7 0

3 years ago

3x + 2y — z + 5w = 20 y = 2z – 3w z= w+1 2w =8

satela [25.4K]

Answer:

this is tricky ngl

5 0

2 years ago

How much would $300 invested at 4% interest compounded monthly be

Anna11 [10]

Answer:

$412.92

Step-by-step explanation:

You are going to want to use the compound interest formula, which is shown below.

$A=P(1+\frac{r}{n} )^{nt}$

P = initial balance

r = interest rate

n = number of times compounded annually

t = time

The first step is to change 4% into its decimal form:

4% -> $\frac{4}{100}$ -> 0.04

Now plug in the values:

$A=300(1+\frac{0.04}{12})^{(12)8}$

$A=412.92$

It would be worth $412.92

8 0

3 years ago