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Elenna [48]
3 years ago
6

1. Evaluate x2 + 10 if we let x= 3

Mathematics
2 answers:
Vladimir [108]3 years ago
8 0

Answer:

16

Step-by-step explanation:

You plug 3 in for x and then you have (3)2+10 and 3 times 2 is 6 plus ten is 16

snow_tiger [21]3 years ago
4 0

Answer:

16

Step-by-step explanation:

x2 + 10 \\  = 3 \times 2 + 10 \\  = 6 + 10 \\  = 16

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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
Let A = { all odd numbers) and B = {1,3,5,7). Is B a subset of A?
Alchen [17]

Answer:

Step-by-step explanation:

Yes

{1,3,5,7} contains the first 4 odd numbers.

{1,2,3,5,7} would not be a subset.

4 0
3 years ago
Read 2 more answers
Write 2/3 as a percent. Round your answer to the nearest tenth of a percent.
sweet [91]

divide 2 b 3

2 divided by 3 = 0.625

move decimal point 2 places to the right to turn to a percentage

0.625 = 62.5%

8 0
2 years ago
What is the reciprocal of 2/7​
sineoko [7]

Answer:

the reciprocal of 2/7 is 7/2. you just switch the numbers

4 0
2 years ago
The doctor's office where you work needs to store eight filing cabinets with patient information in one of three secure storage
ikadub [295]

Answer:

9 x 7.5

Step-by-step explanation:

Just 9 x 7 = 63 > 55

8 x 5 = 40 < 55

5 x 10 = 50 < 55

Please mark brainliest

8 0
3 years ago
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