Ask question

Ask question

All categories

3 years ago

5

Stacey worked 12 hours and Amy worked 6 hours. They made the same amount of money per hour. If they made a total of $90 how much

did they make per hour

1 answer:

IgorC [24]3 years ago

5 0

$Stacey { \to 12hours}$

$Amy { \to 6hours}$

$12 x 5 = 30

6 x 5 = 30

60 + 30 = 90$

They made $5 an hour.

You might be interested in

Solve in radians help plz

PIT_PIT [208]

I think we can use the identity sin x/2 = sqrt [(1 - cos x) /2]

cos x - sqrt3 sqrt ( 1 - cos x) /sqrt2 = 1

cos x - sqrt(3/2) sqrt(1 - cos x) = 1
sqrt(3/2)(sqrt(1 - cos x) = cos x - 1 Squaring both sides:-
1.5 ( 1 - cos x) = cos^2 x - 2 cos x + 1

cos^2 x - 0.5 cos x - 0.5 = 0

cos x = 1 , -0.5

giving x = 0 , 2pi, 2pi/3, 4pi/3 ( for 0 =< x <= 2pi)

because of thw square roots some of these solutions may be extraneous so we should plug these into the original equations to see if they fit.

The last 2 results dont fit so the answer is x = 0 , 2pi Answer

5 0

3 years ago

After transforming f(x) = 2x² +4x + 3 into vertex form, the vertex is easily identifiable. Which ordered pair is the vertex?

jolli1 [7]

The vertex is $(-1,1)$

Explanation:

The equation is $f(x)=2x^{2} +4x+3$

To find the vertex, we need the equation in the form of $f(x)=a (x-h)^{2}+k$

Dividing each term by 2 in the equation $f(x)=2x^{2} +4x+3$

$f(x)=2(x^{2} +2x+\frac{3}{2} )$

Now, completing the square by adding and subtracting 1, we get,

$f(x)=2(x^{2} +2x+1-1+\frac{3}{2} )$

The first three terms can be written as $(x+1)^{2}$ ,

$f(x)=2[(x+1)^{2}+\frac{1}{2} ]$

Multiplying 2 into the bracket, we get,

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

This equation is of the form $f(x)=a (x-h)^{2}+k$

Now, we shall find the vertex $(h,k)$

Thus, $h=-1$ and $k=1$

Thus, the vertex is $(-1,1)$

7 0

3 years ago

Show that the statement is true. If DF has endpoints D(-1,8) and E(3,-2), then the midpoint M of DE lies

Sergio [31]

please help me with my homework

5 0

3 years ago

Solve for a - due soon!

telo118 [61]

A = 1/2 or 0.5
My work is shown below. I hope this helped!! ^w^

6 0

3 years ago

Find the constant of variation k for the direct variation. x f ( x ) 0 0 2 –1 4 –2 7 –3.5 k = 0.5 k = –2 k = –0.5 k = 0

Furkat [3]

Answer:

Option C is correct.

Constant of variation k = -0.5

Step-by-step explanation:

The direct variation says that:

$y \propto x$

then, the equation is of the form: $y =kx$ .....[1] where k is the constant of variation.

Given the table:

x f(x)=y

0 0

2 -1

4 -2

7 -3.5

Consider any values from the tables

x = 4 and y=f(x) = -2

Substitute these values in equation [1] we have;

$-2 = 4k$

Divide both sides by 4 we get;

$k = -\frac{2}{4} = -0.5$

Therefore, the constant of variation is, -0.5

7 0

3 years ago