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Softa [21]
3 years ago
14

Nadia charges $6.50 an hour for babysitting. She babysits 16.50 hours the first week of the month and 22 hours the second week o

f the month.Suppose Nadia raises her rate by $0.65 an hour. How many hours would she need to work to earn the same amount of money she made in the first two weeks of the month?
Mathematics
1 answer:
Sveta_85 [38]3 years ago
4 0
She would need to work for 35 hours.

She earned $250.25 total the first two weeks, so divide that by the new rate per hour, $7.15, to get the 35 hours.
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What is the following product?<br> PLEASE HELP,I'M STRUGGLING SO MUCH!
Licemer1 [7]

(x√7 - 3√8 ) (x√7 - 3√8 )

To solve this question you must FOIL (First, Outside, Inside, Last) like so

First:

(x√7 - 3√8 ) (x√7 - 3√8 )

x√7 * x√7

For this you will multiply the numbers/variables on the out side together and separately multiply the values inside the square root together

(x*x)(√7*7)

x²√49

7x²

Outside:

(x√7 - 3√8 ) (x√7 - 3√8 )

x√7 * -3√8

(-3*x)(√7*8)

-3x√56

√56 can be further simplified to: 2√14

Now we have: -3x2√14 ---> -6x√14  

Inside:

(x√7 - 3√8 ) (x√7 - 3√8 )

The process is the exact same as in the "outside"

x√7 * -3√8

(-3*x)(√7*8)

-3x√56

√56 can be further simplified to: 2√14

Now we have: -3x2√14 ---> -6x√14

Last:

(x√7 - 3√8 ) (x√7 - 3√8 )

-3√8 * -3√8

(-3*-3)(√8*√8)

9√64

9*8

72

Now combine all the products of the FOIL together like so...

7x² - 6x√14 - 6x√14 + 72

Combine like terms:

 

7x² - 6x√14 - 6x√14 + 72

^^^When you add together square roots the number inside the radical stays the same, and you combine the numbers/variables attached to the radical on the outside

You selected the correct answer:

7x² -12x√14 + 72  

Hope this helped!

~Just a girl in love with Shawn Mendes

5 0
3 years ago
T-7=19 what is the answer and how do you do it
jeka57 [31]
T=26
you just add 7 to the other side with 19 which gives you the answer
7 0
3 years ago
What is 607-568 rounded off to the nearest 100
stellarik [79]
Answer:

Hit or miss•••
8 0
3 years ago
g A visit to a hospital emergency room for something as simple as a sore throat could have a mean cost of $328. Assume that this
Rasek [7]

Answer:

The cut-off dollar amount is $328.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean cost of $328, standard deviation of $82.

This means that \mu = 328, \sigma = 82

If you want to be in the bottom 50%, what will be the cut-off dollar amount?

The 50th percentile, which is X when Z has a pvalue of 0.5. So X when Z = 0.

Z = \frac{X - \mu}{\sigma}

0 = \frac{X - 328}{82}

X - 328 = 0*82

X = 328

The cut-off dollar amount is $328.

7 0
3 years ago
The scatterplot shows the ages and finishing times of seven men who ran a charity 5K run. Use the labeled points to create a lin
Alika [10]

Answer:

0.47x + 7.72

Step-by-step explanation:

We have to create a Linear model using the given two points on the graph. The two points are: (21, 17.5) and (43, 2.75)

The general equation of the line in slope intercept form is

y = mx + c

where m is the slope and c is the y-intercept.

Calculating the slope:

slope=m=\frac{\textrm{Difference of y coordinates}}{\textrm{Difference of x coordinates}} \\\\ slope=m=\frac{27.75-17.5}{43-21}\\\\m=0.47

Using the value of m in above equation we get:

y = 0.47x + c

Calculating the y-intercept:

Using any of the given points we can calculate the value of c. Using the point (21, 17.5) in the above equation, we get:

17.5 = 0.47(21) + c

c = 17.5 - 0.47(21)

c = 7.63

Therefore, the equation is:

y = 0.47x + 7.63

Hence option a is the correct answer. The slight change in the value of "c" is because of rounding the value of m to 2 decimal places.

So from the given options, the correct answers is:

y = 0.47x + 7.72

3 0
3 years ago
Read 2 more answers
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