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Travka [436]
3 years ago
10

-6(y+5)-24=66 find the value of y

Mathematics
1 answer:
murzikaleks [220]3 years ago
5 0

Answer:

y=-20

Step-by-step explanation:

-6(y+5)-24=66

-6y-30-24=66

-6y-54=66

-6y=66+54

-6y=120

y=120/-6=-20

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Marisol is being paid $792 to provide nutrition counseling, It took her 8 hours more than she expected, so
olchik [2.2K]

Answer: 44 hours.

Step-by-step explanation:

Marisol is being paid $792.

We know that the job took her 8 hours more than she expected, so if we define T as the time she expected, this job took her:

T + 8 hours.

The amount of money per hour that she expected is calculated as:

$792/T = X

And for those 8 extra hours, she won $4 less per hour, then we have:

$792/(T + 8hs) = X - $4

Then we have a system of equations:

$792/T = X

$792/(T + 8hs) = X - $4

To solve this, we can notice that in the first equation X is isolated, then we could replace that in the second equation to get:

$792/(T + 8hs) = $792/T - $4

Now we can solve this for T.

$792 = ($792/T - $4)*(T + 8hs)  = $792 + $792*(8hs/T) - $4*T + $32*hs

0 = $792*(8hs/T) - $4*T + $32*hs

Let´s multiply this both sides by T

0*T = ($792*(8hs/T) - $4*T + $32*hs)*T

0 = $792*8hs - $4*T^2 +$32*T*hs

This is a quadratic equation, where i will write this witout units so it is easier to read and follow:

0 = -4*T^2 + 32*T + 792*8

The solutions cab be found by using the Bhaskara´s formula, these are:

T = \frac{-32 +- \sqrt[2]{(32^2 - 4*(-4)*(792*8)} }{2*-4}  = \frac{-32 +-320}{-8}

Then the solutions are:

T = (-32 + 320)/-8 = -36 hours (This is a negative time, and it does not really have a meaning in this problem, so we can discard this option)

The other solution is:

T = (-32 - 320)/-8 = 44 hours.

Then we can conclude that she expected the job would take 44 hours in total.

5 0
2 years ago
Find the scale factor
Mama L [17]

Answer:

C. 50

Step-by-step explanation:

The triangles are proportional and that is why you can find the scale factor. Set up a proportion (equivalent fractions). Set the proportion up with the corresponding sides together on thee top or the bottom of the proportion.

<u>65  </u> = <u>  91</u>

x         70

91x = 65 * 70

<u>91x</u> = <u>4550</u>

91        91

x     =  50

8 0
3 years ago
What is the quotient?
Ugo [173]

Answer:

I got 4e+12 which is d

I think

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
A spherical fish bowl is half-filled with water. T
olganol [36]

The volume of a sphere of radius r is given by

V=\dfrac{4}{3}\pi\cdot r^3

For your given conditions, the volume of 1/2 a sphere becomes

V=\dfrac{1}{2}\cdot\dfrac{4}{3}\cdot\dfrac{22}{7}\cdot 8^3

Seems to match your 2nd choice:

... 1 over 24 over 322 over 7(83)

7 0
3 years ago
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Which of the following is another way to express the equation 16 = -9 + z?
fenix001 [56]
D! all you have to do is switch the -9 and the z around! Good Luck!

6 0
3 years ago
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