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sveticcg [70]
2 years ago
12

Rita earns $10 per hour. She puts 5% of her earnings in savings. Write an inequality to find how many hours h Rita must work to

save at least $25.
Mathematics
2 answers:
Rudik [331]2 years ago
6 0
10 * h * 0.05 >= 25
h >= 50
koban [17]2 years ago
5 0

Answer: tex]0.5h\geq25[/tex]

Step-by-step explanation:

Given : Rita earns $10 per hour.

Rita's Total earning = $10 x (number of hours she worked )

Let h denotes the number of hours she worked.

Then , Rita's Total earning = 10 h

Also,She puts 5% of her earnings in savings.

So , Savings=  5% of (Rita's Total earning)

Savings= 0.05 x (10h)  [we convert percent into decimals by dividing it by 100]

Savings=0.5h

Then, the inequality to find how many hours h Rita must work to save at least $25

Savings ≥ $25

\Rightarrow\0.5h\geq25

Hence, the required inequality : 0.5h\geq25

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Answer:

Your answer is the first point

A reflection across the x-axis and then a transformation of -6 and 1.

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2 years ago
The domain of f(x) is the set of all real values except 7, and the domain of g(x) is the set of all real values except –3. Which
Dmitrij [34]

Answer: All the real values except x ≠ 7 and the x for which f(x)≠-3

Step-by-step explanation:

Since, For function f , the domain is R - {7}

That is, If x is any element of the domain of the function f,

Then,  x ≠ 7

(gof)(x) = g(f(x))

Since, For the function g, the domain is R - {-3}

Thus,  If f(x) is any element of the domain of the function g,

Then f(x)≠ -3

Hence, Fourth Option is correct.

8 0
2 years ago
What are the quotient and remainder when a) 19 is divided by 7? b) −111 is divided by 11? c) 789 is divided by 23? d) 1001 is di
Dennis_Churaev [7]

Answer:

a) quotient = 2,  remainder = 5

b) quotient = -10,  remainder = -1

c) quotient = 34,  remainder = 7

d) quotient = 77,  remainder = 0

e) quotient = 0,  remainder = 0

f) quotient = 0,  remainder = 3

g) quotient = 0,  remainder = -1

h) quotient = 4,  remainder = 0

Step-by-step explanation:

The relationship between the quotient, remainder and divisor is that the product of the quotient and divisor added to the reminder gives the dividend.

Based on this, when

a)19 is divided by 7 = 19/7

= 2\frac{5}{7}

Hence the quotient is 2, the remainder is 5

Applying the same principle, when

b) −111 is divided by 11

= -10\frac{1}{11}

Hence the quotient is -10, the remainder is -1

c) 789 is divided by 23

=34\frac{7}{23}

Hence the quotient is 34, the remainder is 7

d) 1001 is divided by 13

= 77

Hence the quotient = 77, the remainder is 0

e) 0/19 = 0

Hence the quotient is 0, the remainder is 0

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Hence the quotient is 0, the remainder is 3

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Hence the quotient is 0, the remainder is -1

h) 4/1

Hence the quotient is 4, the remainder is 0

3 0
2 years ago
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leva [86]

Answer:

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6 0
2 years ago
Read 2 more answers
The distribution of the amount of money spent by students for textbooks in a semester is approximately normal in shape with a me
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The final part of the question is asking;

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Answer:

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Step-by-step explanation:

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Now, 3 standard deviation above the mean = Mean + 3 standard deviation = 240 + (3 × 25)

= 240 + 75 = 315

So, almost all (99.7%) of the students spent between $165 and $315 on textbooks in a semester.

7 0
2 years ago
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