Which number is both a factor of 80 and a multiple of 4? Select three that apply.

It costs Sally 20 cents to make a cup of lemonade, and she sells each cup for 50 cents. She is using the following identity to c

mote1985 [20]

She would make 3.00 dollars

50(10) - 20(10) = (10)(50 - 20)

500 - 200 = (10 * 30)

300 = 300

(10)(50 - 20) = 30(10)

(10 * 30) = 300

300 = 300

3 0

3 years ago

Please help! This assignment is due soon! (In The photo)

eimsori [14]

Answer

Elena must have substracted 1/2x from both sides of the equation.

Lin must have multiplied both sides of the equation by 2

Explanation

The equation given is

$\frac{1}{2}x+3=\frac{7}{2}x+5$

For Elena to have arrived at

$3=\frac{7}{2}x-\frac{1}{2}x+5$

Then Elena must have substracted 1/2x from both sides of the equation.

That is;

$\begin{gathered} \frac{1}{2}x+3=\frac{7}{2}x+5 \\ \text{Substracting }\frac{1}{2}x\text{ from both sides of the equation will give Elena first step} \\ \frac{1}{2}x+3-\frac{1}{2}x=\frac{7}{2}x+5-\frac{1}{2}x \\ 3=\frac{7}{2}x-\frac{1}{2}x+5 \end{gathered}$

For Lin to have arrived at

$x+6=7x+10$

It shows Lin must have multiplied both sides of the equation by 2

That is;

$\begin{gathered} \frac{1}{2}x+3=\frac{7}{2}x+5 \\ \text{Multiply both sides of the equation by the lowest common mutiple } \\ \text{of the denominator which is 2.} \\ \frac{1}{2}x(2)+3(2)=\frac{7}{2}x(2)+5(2) \\ x+6=7x+10 \end{gathered}$

4 0

1 year ago

הS15וה סחרחוווטוורקון

navik [9.2K]

Answer:

what i only speak english

Step-by-step explanation:

8 0

3 years ago

Suppose it takes 4 hours for a certain strain of bacteria to reproduce by dividing in half. If 70 bacteria are present to begin

Sauron [17]

Answer:

1 day: 4480

2 days: 8960

3 days: 13440

$f^{-1}(x) = \sqrt{\frac{x -4}{4}}$ ---- function inverse

Step-by-step explanation:

Given

$f(x) = 70 \cdot 64x$

Solving (a): The amount present after 1 day.

Here, $x =1$

So:

$f(1) = 70 \cdot 64*1= 4480$

Solving (b): The amount present after 2 days.

Here, $x =2$

So:

$f(2) = 70 \cdot 64*2= 8960$

Solving (c): The amount present after 3 days.

Here, $x = 3$

So:

$f(3) = 70 \cdot 64*2= 13440$

Solving (d): The inverse function of:

$f(x)= 4x^2 + 4$

Replace f(x) with y

$y= 4x^2 + 4$

Swap x and y

$x= 4y^2 + 4$

Rewrite as:

$4y^2 = x -4$

Divide by 4

$y^2 = \frac{x -4}{4}$

Take square roots

$y = \sqrt{\frac{x -4}{4}}$

Replace y with function inverse

$f^{-1}(x) = \sqrt{\frac{x -4}{4}}$

6 0

3 years ago

How do I graph this. I need to find the solution

Sergio039 [100]

To graph y=-7x-3, you're going to make your first coordinate at (-3,0) b/c that is your y-intercept and you will continuously move down 7 and right one.

To graph y=4, you will simply make a horizontal line through the to coordinate (4,0).

Hope that helped.

4 0

3 years ago