MATHEMATICS HIGH SCHOOL

Tyra makes $21.40 per hour at her job for the first 40 hours and $32.10 for anything over 40 hours. If Tyra typically works 45 hours per week, how much does she earn? a. $856.00
b. $963.00
c. $1,016.50
d. $1,444.50

Answers

Answer 1
Answer:

Answer:

Tyra earns $1016.5 .

Option (c) is correct .

Step-by-step explanation:

As given

Tyra makes $21.40 per hour at her job for the first 40 hours and $32.10 for anything over 40 hours.

If Tyra typically works 45 hours per week .

Tyra work over 40 hours =  45 -40

                                         = 5 hours

Amount Tyra earns for first 40 hours = 40 × 21.40

                                                              = $ 856

Amount Tyra earns for over 40 hours = 5 × 32.10

                                                              = $160.5

Total amount Tyra earns = Amount Tyra earns for first 40 hours + Amount Tyra earns for over 40 hours .

Putting the values in the above

Total amount Tyra earns = $856 + $160.5

                                         = $1016.5

Therefore  the Tyra earns $1016.5 .

Option (c) is correct.

Answer 2
Answer: The answer would be 1016.50.

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This list shows how many hours twenty batteries lasted when they ran continually in a flashlight. 78 31 47 51 16 58 60 10 30 40 46 63 65 10 93 22 13 47 64 93 What is the mean, median, and mode of the battery life data?a. mean: 47 median: 46.85 mode: 10, 47, 93
c. mean: 46.85 median: 47 mode: none
b. mean: 46.85 median: 47 mode: 10, 47, 93
d. mean: 47 median: 46.85 mode: none

Answers

The mean of the given data is 46.85.

The mode of the given  data is 47.

The median of the given data is 10, 47 and 93.

What is mean ?

The mean is the mathematical average of  a set of two or more numbers.

Formula for mean

mean = sum of the given numbers/ total number of numbers

What is median?

Median is the middle number is a sorted list of the numbers.

Formula for median

for odd number of observations

Median = {(n + 1)/2}th term

for even number of observations

Median = [(n/2)th term + {(n/2)+1}th term}/2

where, n is the number of observations

What is mode?

The mode is the value that is repeatedly occurring in a given set or data.

According to the given question

we have a data

78, 31, 47, 51, 16, 58, 60, 10, 30, 40, 46, 63, 65, 10, 93, 22, 13, 47, 64, 93

Arranging the given data in ascending order

10, 10, 13, 16, 22, 30, 31, 40,  46, 47,  47, 51, 58, 60, 63, 64, 65, 78 , 93, 93

Mean = (10+10+13+16+22+30+31+40+46+47+47+51+58+60+63+64+65+78+93+93)/20 = 937/20 = 46.85

Median =[(20/2)th term + {(20/2)+1}th term}]/2 = (10th term +11term)/2    

= (47+47)/2 =47

Mode = 10, 47 and 93

Learn more about mean, median and mode here:

brainly.com/question/15323584

#SPJ2
Mean: 
78 + 31 + 47 + 51 + 16 + 58 + 60 + 10 + 30 + 40 + 46 + 63 + 65 + 10 + 93 + 22 + 13 + 47 + 64 + 93 = 937

937 ÷ 20 = 46.85

Median: 
10, 10, 13, 16, 22, 30, 31, 40, 46, 47, 47, 51, 58, 60, 63, 64, 65, 78, 93, 93 
                 • middle of the sequence ∧∧
Mode:
Number(s) that occur the most: 10, 47, and 93

Therefore, the answer is: b. mean: 46.85 median: 47 mode: 10, 47, 93

Help on a question geometry

Answers

2log 3 = log 3^2 = log 9 ;
log 5 + 2log 3 = log 5 + log 9 = log( 5 * 9 ) = log 45 ;
log ( x - 12 ) = log 45;
x - 12 = 45 ;
x = 12 + 45 ;
x = 57 ;
But, x - 12 > 0;
And, 57 - 12 > 0 ;
The solution is 57 .
D:x-12>0\nD:x>12\n\log_3(x-12)=\log_35+2\log_33\n\log_3(x-12)=\log_35+\log_33^2\n\log_3(x-12)=\log_35+\log_39\n\log_3(x-12)=\log_3(9\cdot5)\n\log_3(x-12)=\log_345\nx-12=45\n\boxed{x=57}

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Answers

Hello,

You are a right prism with polygonal bases..

What is 1/2 × 2/3?I really need help and someone please show me in step i dont understand how to do it

Answers

Hi there! All you do is regular multiplication. 1*2=2 and 2*3=6, if you combine 2 and 6 the fraction would be 2/6. We divide 2/6 by 2, 2÷2=1 and 6÷2=3, which is 1/3. Bascially 2/6 simplified is 1/3. Therefore, your answer is 1/3.
Hey, AbbyRoss232!
Hi, I see you need help with multiplying fractions. I will try my best to help you, and hopefully, you will be excellent at it!

1*2=2
2*3=6
2/6 and that can be simplified as 1/3!
I divided the numerator and denominator by 2 and got 1/3.

Luke is keeping track of the total number of hours he exercises. He started the summer having already put in 15 hours, and he then exercises 7 hours each week. The function to keep track of his exercise is f(x) = 7x + 15. What do the f(x) and x represent in Luke's situation? (2 points)A) f(x) represents the total number of hours; x represents the number of weeks he exercises this summer
B) f(x) represents the total number of weeks that he has exercised; x represents the number of hours
C) f(x) represents the number of hours he exercises per day; x represents the number of weeks
D) f(x) represents the total number of hours that Luke has exercised; x represents the number of weeks he exercises per day

Answers

If you would like to know what do the f(x) and x represent in Luke's situation, you can find this using the following step:

f(x) = 7x + 15
7 hours each week
x ... the number of weeks
f(x) ... the total number of hours Luke exercises

The correct result would be A) f(x) represents the total number of hours; x represents the number of weeks he exercises this summer.

f(x) represents the total number of hours; x represents the number of weeks he exercises this summer.

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Check the attachment below. Answer: 5/2
We need to rearrange to solve this
2x+5=10
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