Ramiro earns $20 an hour during the week and $30 an hour for overtime on the weekends. one week, ramiro earned a total of $650. he worked a total of 30 hours, including both weekday and weekend hours. determine how many hours of overtime Ramiro worked on the weekend.
Part A: Define your variables
Part B: Write two equations for this scenario
Part C: determine how many hours of overtime ramiro worked

Answers

Answer 1

The number of hours Ramiro worked overtime is 5 hours.

How to represent situation with equation?

Ramiro earns $20 an hour during the week and $30 an hour for overtime on the weekends.

One week, Ramiro earned a total of $650. he worked a total of 30 hours, including both weekday and weekend hours.

The number of hours Ramiro worked on the weekend can be calculated as follows;

using equation,

let

x = number of hours worked during the week

y = number of hours worked during overtime

Hence,

20x + 30y = 650

x + y = 30

multiply equation(ii) by 20

20x + 30y = 650

20x + 20y = 600

subtract the equations

10y = 50

y = 50 / 10

y  =5

Therefore, the number of hours worked overtime is 5 hours.

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Related Questions

What is the reciprocal of 1,058

Answers

Answer:

0.00094517958

Step-by-step explanation:

this is a answer I think so

the following are scores of students:9,7,8,9,7,5,8,10,7,8 and 10. the value of the population variance is 4. true or false?​

Answers

Answer:

yes

Step-by-step explanation:

yyyyyyyyyyyyyyyyyyyyyy

Nolan is 11
4
5
years old. Jillian is 1
1
6
years older than Nolan and Jane is 1
1
3
years older than Jillian. How old is Jane?

Answers

Answer:

Jane is 13.

Step-by-step explanation:

Nolan is 11

Jillian is 12 because Jillian is 1 year older than Nolan.

Jane is one year older than Jillian. Which leads to the statement that Jane is 13 years old.

How many feet are in 26 miles, 1155 feet ?

Answers

Answer:

The answer is 137,280

Step-by-step explanation:

5280 ft. = 1 mile

So....

26 x 5280 = 137,280

A market analyst is curious what proportion Los Angeles residents have a landline telephone. A survey of 200
randomly selected Los Angeles residents shows that 96 of those selected have a landline telephone. The analyst
wants to use this data to construct a one-sample z interval for a proportion.
Based on this sample, which of the following is a 90% confidence interval for the proportion of Los Angeles
residents who have a landline telephone?

Answers

Answer:

0.48 ± 0.058

Step-by-step explanation:

Right on khan

Algebra 2
How do I solve this problem

Answers

Answer:

Step-by-step explanation:

You cannot solve the problem because it doesn't have an equal sign, but I suppose you can simplify it. Look at this screenshot, it may help:

Step-by-step explanation:

-\fraction{4v^2}{m^2}

that is the answer or if u want u can search up on a calculator called symbolab or math-way

two distance are in the ratio 9 to 4 if the first distance is 270km, what is the second distance? ​

Answers

Let's practice a little algebra and set the second distance to x.

9/4=270/x

solve

9x=270*4

x=30*4

x=120

The second distance is 120.

Done! any question about this just ask me in the comment.

pleaseee helppppppppp​

Answers

Answer:

y is just being multiplyed by -4 :)

Step-by-step explanation:

in other words -4x

Answer:

y = -4x

Step-by-step explanation:

Last week, the Tasha Cola company had sales of $2,346.87. This week, the company had sales of $8,867.14. Which is the best estimate of the company’s total sales for both weeks?

Answers

Answer:

$11,200 or $11,000

Step-by-step explanation:

The amounts are approximately $2,300 and $8,900 which add up to $11,200.

Answer: $11,200 or $11,000

It seems there are choices for this problem, but you did not include them, so I can't tell the exact correct answer.

Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level of ozone normally found is 6.0 parts/million (ppm). A researcher believes that the current ozone level is not at a normal level. The mean of 13 samples is 5.6 ppm with a variance of 0.49. Assume the population is normally distributed. A level of significance of 0.1 will be used. Find the value of the test statistic. Round your answer to three decimal places.

Answers

Answer:

Test statistic | t| = |-2.0607| = 2.0607

Step-by-step explanation:

Step(i):-

Given that the mean of the Population = 6.0 parts / million

The mean of sample x⁻ = 5.6ppm

The variance of the sample = 0.49

The standard deviation of the sample (s) = √0.49 = 0.7

Step(ii):-

Test statistic

             [tex]t = \frac{x^{-} - mean}{\frac{S}{\sqrt{n} } }[/tex]

             [tex]t = \frac{5.6 - 6.0}{\frac{0.7}{\sqrt{13} } }[/tex]

            t = -2.0607

Final answer:-

Test statistic | t| = |-2.0607| = 2.0607

The larger of two numbers on three times the smaller. if the sum of the two numbers is 36 find the number?

Answers

Answer:

9 and 27

Step-by-step explanation:

Let the smaller number be x.

The larger of two numbers is three times the smaller.

Larger number = 3x

ATQ,

x+3x = 36

4x = 36

x = 9

Smaller number = 9

Larger number = 3x = 3(9) = 27

So, the numbers are 9 and 27.

using number line what is 4-5​

Answers

Answer:

-1

Step-by-step explanation:

4 - 5 = -1

Count:

4, 3, 2, 1, 0, -1

hlep plees

hi i need to do a test for mi 1 grad clas
what 2-2=
3-1=
and for my hom work
what is
56-210=

300x 285
please help

Answers

2 - 2 = 0
3 - 1= 2
56 - 210= 154 (or -154)
300 x 285=85500

Answer:

0, 2, 154, 85,500

Step-by-step explanation:

these are the anwsers to your question

Follow the steps to provide to answer the question

1. Find the greatest common factor of 8 and 12. 2. Use the Distributive Property and the greatest common factor to factor the expression &r-12 3.Write the equivalent expression.​

Answers

Answer:

Step-by-step explanation:

1. Greatest Common Factor is the largest number that can be multiplied to get the product common to both product.

Factors of 8                               Factors of 12

1      8                                               1     12

2     4                                               2     6

                                                       3     4

The GCF = 4

2. I need the expression rewritten in order to help you.

a total of 40 percent of the voters in a city classify themselves as independents, whereas 35 percent classify themselves as liberals, and 25 percent as conservatives. in a recent election, 40 percent of the independents, 75 percent of the liberals, and 65 percent of the conservatives voted. given that a person voted in the election, what is the probability that the person is an independent

Answers

Answer:

Probability = 0.088 ie 8.8%

Step-by-step explanation:

P (I) = 40% = 0.4

P (L) = 35% = 0.35

P (C) = 25% = 0.25

P (EV / I) = 40% = 0.4

P (EV / L) = 75% = 0.75

P (EV / C) = 65% = 0.65

P (I / EV) = [ P (EV / I) . P (I) ] / [ P ( EV) ]

[ P (EV / I) . P (I) ] / [ P (EV / I) + P (EV / L) + P (C / L)

[(0.4) (0.4)]  / [ 0.4 + 0.75 + 0.65 ]

0.16 / 1.8

= 0.088 ie 8.8%

Find the Area: 12 ft 12 ft​

Answers

a=12 ft

Po=(0.25×π×a²)

Pc=a²+0.5×Po

Pc=a²+0.5×(0.25×π×a²)

Pc=a²×(1+0.5×0.25×π)

Pc=a²×(1+0.5×0.25×π)

Pc=144×(1+0.5×0.25×π)

Pc≈200.55 ft²

what is the value of X? (20 points)

Answers

Answer:

54.5

Step-by-step explanation:

[tex]x \degree = \frac{1}{2} (160 \degree - 51 \degree) \\ \\ x \degree = \frac{1}{2} \times 109 \degree \\ \\ x \degree = 54.5 \\ \\ x = 54.5 [/tex]

Mr. Arnold's class children make hand prints in the round clay mold for their parents the mall has a diameter of 12 cm what is the molds radius

Answers

Answer:

6

Step-by-step explanation:

the radius is half of the diameter

hope this helped :)

Use Ratio and Rate Vocabulary
RECORDING SHEET
Harper is buying fabric to make pillows. At the store, 3 yards of
flannel fabric costs $18, and 5 feet of fleece fabric costs $11. Whi
the better buy?
I know the units need to be the same to compare the prices.
First,
the length of the flannel fabric to feet.
The
of feet to yards is 3 feet: 1 yard.

Answers

for flannel, 3*3=9, 18/9=2 so $2 per foot.
for fleece, 11/5=5.5 so $5.50 per foot.
flannel is the better but

Please help, ill give brainiest

A penny is dropped from the top of a new

building. Its height in feet can be modeled by

the equation y = 256 − 16x2, where x is the

time in seconds since the penny was dropped.

How long does it take for the penny to reach

the ground?

Answers

Answer:

4? I could be wrong. Sorry.

Step-by-step explanation:

Pls help me I’ll give brainliest

Answers

Answer:

-2.7<4.5

Step-by-step explanation:

find domain (y-10)/y^2-3

Answers

Answer:

[tex] y 3 - 10 {y 2} - 3[/tex]

3(x-4)=12x distributing or diving

Answers

Distribution; 3x-12=12x

Classify. * 6x^2 - 22x^5
a. quadratic binomial
b. quadratic polynomial
c. quintic binomial
d. not a polynomial ​

Answers

Answer:

Step-by-step explanation:

C

You may need to use the appropriate technology to answer this question. The Wall Street Journal Corporate Perceptions Study 2011 surveyed readers and asked how each rated the quality of management and the reputation of the company for over 250 worldwide corporations. Both the quality of management and the reputation of the company were rated on an excellent, good, and fair categorical scale. Assume the sample data for 200 respondents below applies to this study.

Quality of Management Reputation of Company
Excellent Good Fair
Excellent 40 25 8
Good 35 35 10
Fair 25 10 12

Use a 0.05 level of significance and test for independence of the quality of management and the reputation of the company.

a. State the null and alternative hypotheses.
b. Find the value of the test statistic. (Round your answer to three decimal places.)
c. Find the p-value. (Round your answer to four decimal places.)

Answers

Answer:

Step-by-step explanation:

The null and alternative hypothesis:

[tex]H_o \text{: Quality of management and reputation of company are independent}[/tex]

[tex]H_a \text{: Quality of management is not independent of the reputation of company }[/tex]

The observed values:

                      Excellent     Good    Fair    Total

Excellent           40               25        8        73

Good                 35               35        10       80

Fair                     25              10         12       47

Total                 100             70          30      200

The expected values  = (Row total/column total)/grand total)

                      Excellent     Good        Fair    

Excellent           36.5          25.55      10.95  

Good                  40             28             12

Fair                    23.5         16.45         7.05

O                E                    (O - E)²/E

40              36.5                0.3356

35              40                   0.6250

25              23.5                0.0957

25              25.55              0.0118

35              28                    1.7500

10               16.45                2.5290

8                 10.95               0.7947

10                12                    0.3333

12                 7.05                3.4755

                                            9.951

[tex]X^2 = \sum \dfrac{(O-E)^2}{E} \\ \\ \mathbf{X^2 = 9.951}[/tex]

Degree of freedom [tex]df = (r-1)(c-1)[/tex]

[tex]df = (3 - 1 ) (3 - 1)[/tex]

[tex]df = (2)(2)[/tex]

[tex]df = 4[/tex]

Using Excel formula =CHIDIST(x²,d.f)

The P-value = 0.0413

Simplify each expression.
ASAP PLEASE

Answers

Answer:

3

2y

Step-by-step explanation:

[tex] \bold{In \: {e}^{3} = 3In \: {e} = 3 \times 1 = 3} \\ \\ \bold{In \: {e}^{2y} = 2yIn \: {e} = 2y \times 1 = 2y}[/tex]

13 percent of a certain company's life insurance policy holders are smokers. For each nonsmoker the probability of dying during the year is 0.002. For each smoker the probability of dying during the year is 0.02. Find the probability that a policy holder who died last year was a smoker.

Answers

Answer:

.6

Step-by-step explanation:

Using Bayes' theorem

While s = smoker

n = nonsmoker

D = died

P(s) = .13

P(n) =.87

P(D/s) =0.02

P(D/n) =0.002

P(s/D) = ??

[tex]P(s/D)=\frac{P(s)*P(D/s)}{P(s)*P(D/s)+P(n) *P(D/n)} =\frac{.13*.02}{.13*.02+.87*.002}=.6[/tex]

how to answer dissimilar and similar fraction using addition and subtraction?​

Answers

Answer:

Make their denominators equal using the concept of least common multiple. Then subtract their numerators accordingly. Rewrite each fraction to its equivalent fraction with a denominator equal to the LCM = 30, then subtract their numerators. Make sure to reduce your answer to the lowest term.

Step-by-step explanation:

Find the area of the trapezoid

Answers

Answer:

1/2(l1+l2) is the area of trapezium

Answer:

A=a+b /2h

Step-by-step explanation:

37 + 1/7 (-1/2) = ??

Answers

Answer:

517/14 good luck !!

Step-by-step explanation:

Answer: answer in photo, hope it helps.

Step-by-step explanation:

Other Questions
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