Write 0.25 as a fraction.

-2(8p+2)-3(2-7p)-2(4+2p)=0

zysi [14]

-2(8p+2)-3(2-7p)-2(4+2p)=0

mutiply the first bracket by -2

(-2)(8p)= -16p

(-2)(+2)= -4

mutiply the second bracket by -3

(-3)(2)= -6

(-3)(-7p)= 21p

mutiply the third bracket by -2

(-2)(4)= -8

(-2)(+2p)= -4p

-16p-4-6+21p-8-4p= 0

-16p+21p-4p-4-6-8= 0 ( combine like terms)

5p-4p-4-6-8= 0

p-4-6-8= 0

p-10-8= 0

p-18= 0

move -18 to the other side to get p by itself

sign changes from -18 to +18

p-18+18= 0+18

p= 0+18

Answer: p= 18

8 0

3 years ago

Rita gets paid $16 per hour for the first 8 hours she works each day. She earns 1 1 2 times her hourly pay rate for time she wor

omeli [17]

<h3>The total money earned by Rita on Monday = $158</h3>

Step-by-step explanation:

The rate by which Rita is paid first 8 hours = $16

The next per hour rate after 8 hours = $1\frac{1}{2} = 1.5$ times the usual rate.

Now, 1.5 times $16 = 1.5 x 1 6 = $24

So, for each hour worked after 8th hour, Rita is paid $24 per hour.

Now, the intervals she has worked are:

(a) from 8:15 to 12: 45 pm

So, the number of hours worked = 45 minutes + 45 minutes + 3 hours

= 4 hours 30 minutes .... (1) (as 60 minutes = 1 hour)

(b) break of 45 minutes after 12: 45 = 12: 45 + 45 minutes

= 12 hour 90 minutes = 1 : 30 P M

So, she started working at 1: 30 and worked till 6: 15

So, the number of hours worked = 30 minutes + 15 minutes +4 hours

= 4 hours 45 minutes .... (2)

So, by adding (1) and (2) the total hours worked by Rita

= 4 hours 30 minutes + 4 hours 45 minutes

= 8 hours 75 minutes = 9 hours 15 minutes

9 hours 15 minutes = ( 8 + 1 .25 ) ( 15 minutes = 0.25 of an hour)

So, the payment is ( 8 x (16) + 1.25 (24) )

= 128 + 30 = 158

Hence, the total money earned by Rita = $158

6 0

3 years ago

If f(x) = x over 2 + 8, what is f(x) when x = 10?

jeka57 [31]

Answer:

f(10) = 13

Step-by-step explanation:

f(x) = x/2 + 8

Let x = 10

f(10) = 10/2 +8

f(10) = 5+8

f(10) = 13

8 0

3 years ago

Suppose these show number of hours each student in a class slept last night:

Olin [163]

⊂ Hey, rosedalphinis ⊃

Answer:

Mean: 6.9 hours; Median 7 hours

Step-by-step explanation:

⇒ Given:

-------------------------------------------------------------------------------------------------------------

Suppose these show number of hours each student in a class slept last night:

8, 4, 8, 7, 7, 9, 6, 5, 10, 7, 6, 6

What is the mean of these numbers (rounded to the nearest tenth)?

What is the median?

Mean: 6.9 hours; Median 7 hours

Mean: 6.9 hours; Median 7.5 hours

Mean: 7 hours; Median 6.9 hours

Mean: 7.2 hours; Median 7 hours

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⇒ Solution~:

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Let's first define "Median".

You may be wondering "What is median/What is mean?".

When it asking for "Mean" It asking for the average.

When it asking for "Median" It asking for the middle number.

The formula for "Mean" is : M = sum of the terms/number of terms

According to the given we have;

8, 4, 8, 7, 7, 9, 6, 5, 10, 7, 6, 6

Let's first find the "Mean":

First, add all the number together.

8 + 4 + 8 + 7 + 7 + 9 + 6 + 5 + 10 + 7 + 6 + 6

12 + 8 + 7 + 7 + 9 + 6 + 5 + 10 + 7 + 6 + 6

20 + 7 + 7 + 9 + 6 + 5 + 10 + 7 + 6 + 6

27 + 7 + 9 + 6 + 5 + 10 + 7 + 6 + 6

34 + 9 + 6 + 5 + 10 + 7 + 6 + 6

43+ 6 + 5 + 10 + 7 + 6 + 6

49+ 5 + 10 + 7 + 6 + 6

54+ 10 + 7 + 6 + 6

64 + 7 + 6 + 6

71+ 6 + 6

77 + 6

= 83

Now let's count how many numbers of hours each student in a class slept.

8, 4, 8, 7, 7, 9, 6, 5, 10, 7, 6, 6 = 12

Now 83 divide by 12:

83/12 = 6.9166666666667 {Round}

6.9166666666667 = 6.9

Therefore, Mean = 6.9

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Next, Let's find the "Median":

To find the Median, place the numbers in value order and find the middle.

⇒ 8, 4, 8, 7, 7, 9, 6, 5, 10, 7, 6, 6

⇒ 4, 5, 6, 6, 6, 7, 7, 7, 8, 8, 9, 10

Now we have them in order:

4, 5, 6, 6, 6, 7, 7, 7, 8, 8, 9, 10

Then, we find the middle number:

4, 5, 6, 6, 6, 7, 7, 7, 8, 8, 9, 10

4, 5, 6, 6, 6, 7, 7, 7, 8, 8, 9, 10

4, 5, 6, 6, 6, 7, 7, 7, 8, 8, 9, 10

4, 5, 6, 6, 6, 7, 7, 7, 8, 8, 9, 10

4, 5, 6, 6, 6, 7, 7, 7, 8, 8, 9, 10

Now You see that there two's 7 left.

If there is an even number of numbers add the two middles and divide by 2

Thus,

7 + 7 = 14

14/2 = 7

Therefore, Median = 7.

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According to the solving above we can conclude that:

Mean: 6.9 hours; Median 7 hours

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xcookiex12

9/4/2022

#Learnwithxcookiex12

4 0

1 year ago

Read 2 more answers

On the Sat the lowest value anyone can score on the math section is 200 and the highest is 800. Jason is a senior retaking the S

schepotkina [342]

Answer:

10 people

Step-by-step explanation:

Parking needs to be paid for but if all friends are going together, they need to only pay once for parking.

The amount spent on just tickets is therefore:

= 243.25 - 15.75

= $227.50.

If $227.50 was for tickets alone, the number of tickets they could buy is:

= Total amount left/ Price of tickets

= 227.50 / 22.75

= 10 people

Step-by-step explanation:

6 0

3 years ago