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Leya [2.2K]
3 years ago
14

Please help!!!!!! Please!

Mathematics
1 answer:
Nikolay [14]3 years ago
8 0

Answer:

you have to divide is bye 4 to get the answer

Step-by-step explanation:

1.56

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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
A collection of 30 gems, all of which are identical in appearance, are supposedto be genuine diamonds, but actually contain 8 wo
levacccp [35]

Answer:

Step-by-step explanation:

From the given information:

There are 30 collections of gems, of which 8 are worthless;

Thus, the number of the genuine diamonds = 30 - 8 = 22.

Let X = random variable;

X consider the value as 0 (for  2 worthless stone selection),

X = 1200(1 worthless stone  & 1 genuine stone)

X = 2400 (2 genuine stones selected)

However, the numbers of ways of selecting and chosen Gems can be estimated as:

(^n_r) = (^{30}_2) \\ \\ \implies \dfrac{30!}{2!(30-2)!} \\ \\ \implies \dfrac{30!}{2!(28)!}  \\ \\  \implies \dfrac{30*29*28!}{2!(28)!} \\ \\  \implies  \dfrac{30*29}{2*1} \\ \\ \implies 435

Thus;

Pr (X = 0) = \dfrac{(^8_2)}{435}

Pr (X = 0) = \dfrac{\dfrac{8!}{2!(8-2)!}}{435} \\ \\ Pr (X = 0) = \dfrac{\dfrac{8!}{2!(6)!}}{435}  \\ \\ Pr (X = 0) = \dfrac{\dfrac{8*7*6!}{2!(6)!}}{435} \\ \\  Pr (X = 0) = \dfrac{\dfrac{8*7}{2*1}}{435} \\ \\   Pr (X = 0) = 0.0644

P(X =1200) = \dfrac{(^{8}_{1})(^{22}_{1})}{435}

P(X =1200) = \dfrac{ \dfrac{8!}{1!(8-1)!}) ( \dfrac{22!}{1!(22-1)!}) }{435}

P(X =1200) = \dfrac{ (8) ( 22) }{435}

P(X =1200) =0.4046

Pr (X = 2400) = \dfrac{(^{22}_2)}{435}

Pr (X = 2400) = \dfrac{\dfrac{22!}{2!(22-2)!}}{435} \\ \\ Pr (X = 2400) = \dfrac{\dfrac{22!}{2!(20)!}}{435}  \\ \\ Pr (X = 2400) = \dfrac{\dfrac{22*21*20!}{2!(20)!}}{435} \\ \\  Pr (X =2400) = \dfrac{\dfrac{22*21}{2*1}}{435} \\ \\   Pr (X = 2400) = 0.5310

To find E(X):

E(X) = (0 × 0.0644) + (1200 × 0.4046)  + (2400 × 0.5310)

E(X) = 0 + 485.52 + 1274.4

E(X) = 1759.92

8 0
3 years ago
Someone help me with this algebra question please 100% correct only
STALIN [3.7K]
Let x represent the width. Since the length is 3 more than 4 times the width, that would be equal to 3+4x. The perimeter is the sum of all sides, so that would be x+x+3+4x+3+4=86. Combine like terms, which would result in 10x+6=86. Subtract 6 from both sides giving you 10x=80. Divide by 10 giving you x=8. That means that the width is 8. The length is 3+4x. Substitute 8 for x giving you 3+4(8). Multiply, giving you 3+32, then add, which would give you 35.  35 is the length. 
7 0
3 years ago
This is too much for me <br> if you know please answer
SOVA2 [1]

Answer:

-4x + y + 6z

Step-by-step explanation:

Combine like terms (Terms with the same variable):

(2x + 5y - z) + (-6x - 4y + 7z)

Add straight across:

2x - 6x = -4x

5y - 4y = y

-z + 7z = 7z - z = 6z

-4x + y + 6z is your answer.

~

8 0
3 years ago
Read 2 more answers
Please help as soon as possible
Inessa [10]

Answer:

tan=Opposite/Adjacent so 3/4 is the answer

Step-by-step explanation:

3 is opposite of A and 4 is Adjacent  of A

If Brainiest is Earned its Greatly Appreciated

6 0
3 years ago
Read 2 more answers
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