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nikdorinn [45]
3 years ago
8

Susan works as a tutor for $10 and hour, and as a waitress for $11 an hour. This month, she worked a combined total of 90 hours

at her two jobs. Let T be the number of hours Susan worked this month. Write an expression for the combined total dollar amount she earned this month. <, >, greater than or equal to, less than or equal to?
Mathematics
1 answer:
uysha [10]3 years ago
3 0

Answer:

\$(990-t)

Step-by-step explanation:

The correct question is

Susan works as a tutor for $10 and hour, and as a waitress for $11 an hour. This month, she worked a combined total of 90 hours at her two jobs. Let t be the number of hours Susan worked as a tutor this month. Write an expression for the combined total dollar amount she earned this month

Let

t -----> the number of hours that Susan work as a tutor

y ----> the number of hours that Susan work as a waitress

z ---> the combined total dollar amount she earned this month

we know that

t+y=90

y=90-t-----> equation A

we know that

The combined total dollar amount she earned this month is equal to the number of hours that Susan work as a tutor multiplied by $10 plus the number of hours that Susan work as a waitress multiplied by $11

z=10t+11y ----> equation B

substitute equation A in equation B

z=10t+11(90-t)

z=10t+990-11t

z=990-t

therefore

The expression for the combined total dollar amount is $(990-t)

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Answer:

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2 years ago
Which of the following is NOT a variation of a Pythagorean identity?​
Ipatiy [6.2K]

The expression that is not a variation of the Pythagorean identity is the third option.

<h3>What is the Pythagorean identity?</h3>

The Pythagorean identity can be written as:

sin^2(x) + cos^2(x) = 1

For example, if we subtract cos^2(x) on both sides we get the second option:

sin^2(x) = 1 - cos^2(x)

Which is a variation.

Now, let's divide both sides by cos^2(x).

sin^2(x)/cos^2(x) + cos^2(x)/cos^2(x) = 1/cos^2(x)\\\\tan^2(x) + 1 = sec^2(x)\\\\tan^2(x) - sec^2(x) = -1

Notice that the third expression in the options looks like this one, but the one on the right side is positive. The above expression is in did a variation of the Pythagorean identity, then the one written in the options (with the 1 instead of the -1) is incorrect, meaning that it is not a variation of the Pythagorean identity.

Concluding, the correct option is the third one.

If you want to learn more about the Pythagorean identity, you can read:

brainly.com/question/24287773

3 0
2 years ago
Consider the expression 25 – 10 ÷ 2 + 3.
Tems11 [23]

Given:

The expression is:

25-10\div 2+3

To find:

Part A: The expression using parentheses so that the expression equals 23.

Part B: The expression using parentheses so that the expression equals 3.

Solution:

Part A:

In option A,

(25-10)\div 2+3=15\div 2+3

(25-10)\div 2+3=7.5+3                       [Using BODMAS]

(25-10)\div 2+3=10.5

In option B,

25-10\div (2+3)=25-10\div 5

25-10\div (2+3)=25-2                      [Using BODMAS]

25-10\div (2+3)=23

In option C,

(25-10)\div (2+3)=15\div 5

(25-10)\div (2+3)=3

In option D,

25-(10\div 2)+3=25-5+3

25-(10\div 2)+3=28-5                     [Using BODMAS]

25-(10\div 2)+3=23

After the calculation, we have 25-10\div (2+3)=23 and 25-(10\div 2)+3=23.

Therefore, the correct options are B and D.

Part B: From part A, it is clear that

(25-10)\div (2+3)=3

Therefore, the correct option is C.

8 0
2 years ago
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jarptica [38.1K]

Answer:

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Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
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Answer:

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Step-by-step explanation:

Suppose Madison spent x hours on her social project,

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Total hours spend on all projects will be the addition of hours spent on social project and hour spent on other project, i.e

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It si given that this is 8 hours, therefore

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Multiplying both sides by 3:

4x=24

Dividing across board by 4:

x= 6 hours

5 0
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