If angle 1=22° and arch AD=57° then what is angle 2?

Janet worked 3 hours more than David and 7 hours less than Kate. David earned $7.50 per hour, Janet earned $6 per hour, and Kate

grandymaker [24]

We want to write and solve a system of equations to see how much each person earns.

What each one earned is:

Janet = $78
Kate = $180
David = $75

Let's define:

J = number of hours that Janet worked.
D = number of hours that David worked.
K = number of hours that Kate worked.

The information is:

<em>"Janet worked 3 hours more than David and 7 hours less than Kate"</em>

From this we can write:

J = D + 3

J = K - 7

We know that:

David earned $7.50 per hour.
Janet earned $6 per hour.
Kate earned $9 per hour.

Finally, we know that Kate earned $27 more than David an Janet combined, then we can write:

$9*K = $27 + ($7.50)*D + $6*J

Then we have a system of equations:

J = D + 3

J = K - 7

$9*K = $27 + ($7.50)*D + $6*J

We can rewrite the first and second equations to get:

D = J - 3

K = J + 7

Now we can replace these two in the other equation to get:

$9*(J + 7) = $27 + ($7.50)*(J - 3)+ $6*J

Now we can solve this for J:

$9*J + $63 = $27 + $7.50*J - $22.50 + $6*J

$9*J - $7.50*J - $6*J = $27 - $63 - $22.50

-$4.50*J = -$58.60

J = (-$58.60)/(-$4.50) = 13

This means that Janet worked for 13 hours.

And with:

K = J + 7 = 13 + 7 = 20

D = J - 3 = 13 - 3 = 10

We can see that Kate worked for 20 hours and David for 10 hours.

Then each one of them earned:

Janet = 13*$6 = $78

Kate = 20*$9 = $180

David = 10*$7.50 = $75

If you want to learn more, you can read:

brainly.com/question/9351049

5 0

2 years ago

Which graph shows y=3⌈x⌉+1?

vovangra [49]

Answer:

Its the bottom-right one

Step-by-step explanation:

Have a good day

8 0

2 years ago

Alice found the area of the figure by breaking apart it apart where the dashed line is drawn. Her work is shown below. area of r

Alex Ar [27]

Answer:

We're no strangers to love

You know the rules and so do I

A full commitment's what I'm thinking of

You wouldn't get this from any other guy

I just want to tell you how I'm feeling

Gotta make you understand

Never gonna give you up, never gonna let you down

Never gonna run around and desert you

Never gonna make you cry, never gonna say goodbye

Never gonna tell a lie and hurt you

We've known each other for so long

Your heart's been aching but you're too shy to say it

Inside we both know what's been going on

We know the game and we're gonna play it

And if you ask me how I'm feeling

Don't tell me you're too blind to see

Never gonna give you up, never gonna let you down

Never gonna run around and desert you

Never gonna make you cry, never gonna say goodbye

Never gonna tell a lie and hurt you

Never gonna give you up, never gonna let you down

Never gonna run around and desert you

Never gonna make you cry, never gonna say goodbye

Never gonna tell a lie and hurt you

Ooh, give you up

(Ooh) Never gonna give, never gonna give (Give you up)

We've known each other for so long

Your heart's been aching but you're too shy to say it

Inside we both know what's been going on

We know the game and we're gonna play it

I just want to tell you how I'm feeling

Gotta make you understand

Never gonna give you up, never gonna let you down

Never gonna run around and desert you

Never gonna make you cry, never gonna say goodbye

Never gonna tell a lie and hurt you

Never gonna give you up, never gonna let you down

Never gonna run around and desert you

Never gonna make you cry, never gonna say goodbye

Never gonna tell a lie and hurt you

Never gonna give you up, never gonna let you down

Never gonna run around and desert you

Step-by-step explanation:

you just got rick rolled

5 0

3 years ago

Read 2 more answers

What is equivalent to<br> -9(x - 4 ) - 6x

Lapatulllka [165]

The answer would be -15x+36. To solve this equation, you would first use distributive property and distribute the -9 to the values inside the parentheses (or multiply them). So, you would multiply -9 and x and -9 and -4 to get -9x+36-6x. Then, you combine like terms, which are -9x and -6x to get -15x. You can't simplify any further without knowing the value of x. Hope this helps!

4 0

3 years ago

The scores of 4th and 5th graders on a test about polygons and their characteristics are summarized below

nlexa [21]

Answer: Part A: In which grade did the students do the best? Answer; 4th grade, they have a higher median of 68

Part B: what best describes the shape of the two graphs? Answer: 5th grade is roughly symmetrical without letters in fourth grade is skewed right

Step-by-step explanation: That’s for the answers for the 3rd question on Topic 4 of Section 9. Hope that helped:))

3 0

3 years ago