Peter works two part time jobs. He is paid $6 er hour at job a and $9 per hour at job b. Last wee eter worked a total of 24 hours at both jobs and madr $189. Hobmny hours dud peter work at job a?

Answers

Answer 1

Answer: Peter worked 9 hours at job a

Step-by-step explanation:

Step 1

Let the number of hours worked in  job a = x

and number of hours worked in job b = y such that the total hours worked would be expressed as

x=y= 24 ---eqn 1

also since $6 and $9 dollar are paid per hour for the job  and the total amount made is $189, it should be expressed as

6x + 9y =$189--- equation 2

Step 2

Now we have gotten two expressions to solve for number of hours, we can now solve

x+y= 24 ---eqn 1

6x + 9y =$189--- eqn 2

Using elimination method, we multiply equation 1 by 6 and subtract from equation 2

6x + 9y =189

-6x+6y=144

3y=45

y= 45/3 =15

To find x

x+y = 24

x+15=24

x= 24-15

x= 9

fff

Therefore Peter worked 9 hours at job a  and 15 hours at job b


Related Questions

can someone help me pls );

Answers

Answer:

Hope it helps you,

Step-by-step explanation:

As the figure can be split in to 3 geometric figure,

Rectangle , Triangle and Semi circle ,

So first find the area of these figures then add up them ,

Area of rectangle = Length * width

Length = 20m m  and  width  = 14 mm

hence

Area of rectangle = 20*14  = 280 mm^2

Now ,

Are of  Circle  =  [tex]\\ \pi *d^{2} /4[/tex]

Then Area of semi circle = [tex]\\ \pi *d^{2} /8[/tex]

Hence we have d= 20mm

Putt in semi circle formula we get,

Area of Semi Circle= (3.14)*400/8  = 157 mm^2

Now area of triangle = 1/2 * length*width

length =32-20 = 12 mm

width = 14 mm

putt in the formula we get ,

Area of triangle = 1/2*12*14 = 84 mm^2

Now add these 3 Areas to get total Area,

Total Area = 84+157+280  = 521 mm^2

which quadrilateral makes this statement true? Quadrilateral ABCD

Answers

Answer:

A.

Step-by-step explanation:

Similar polygons have corresponding sides that are proportional and corresponding angles that are -
A congruent
B parallel
C similar
D proportional​

Answers

A. congruent

hope this helped <33

What is the density of an object with a mass of 30g and a volume of 10mL

Answers

Answer:

3 grams/cubic centimeter

Step-by-step explanation:

Density formula is mass divided by volume

30/10=3

3 grams/cubic centimeter

Determine whether the graph shows a positive correlation, a negative correlation, or no correlation. If there is a positive or negative correlation, describe its meaning in the situation. Domestic Traveler Spending in the U.S., 1987-1999 Spending (dollars in billions) A graph titled Domestic Traveler Spending in the U S from 1987 to 1999 has year on the x-axis, and spending (dollars in billions) on the y-axis, from 225 to 450 in increments of 25. Year Source: The World Almanac, 2003

Answers

Answer:

A

Step-by-step explanation:

ifunny is dankreloaded

The solution is, Option B Negative ,as time passes, speed decreases.

What is Correlation?

Positive Correlation= With Increase in x value, y value also increases or vice versa, we call it positive correlation.

Negative Correlation= With Increase in x value, if y value decreases or vice versa, we call it negative correlation.

here, we have,

Description of the Graph

1. The Relation between , Speed and time is depicted on the graph.

2. Minute = x coordinate

Miles per hour= y coordinate

The points shown on the graph , describing the relationship are, (5,15),(10,13.8),(15,11),(20,10),(25,9.8).

There are two types of Correlation

Positive Correlation= With Increase in x value, y value also increases or vice versa, we call it positive correlation.

Negative Correlation= With Increase in x value, if y value decreases or vice versa, we call it negative correlation.

As you can see from the points plotted on the graph ,with increase in x value , y value decreases.

So it is negative correlation.

As, time passes, Speed Decreases, So it is a Negative Correlation.

Option B  Negative ,as time passes, speed decreases.

To learn more on Correlation click:

https://brainly.com/question/8474971

#SPJ7

60 people were asked the colour of their car and the pictogram shows the results.

a) 16 cars are red. Complete the key.

b) How many cars are silver?

KEY: One circle represents __ cars

Red = 4 circles
White = 3 circles and a half
Silver = 5 circles and 3/4
Grey ​= 1 circle and 3/4

Answers

The number of silver cars in the pictogram is 23.

How many cars are silver?

If 16 cars are red, then, each circle represents 4 cars.

If each circle represents 4 cars, then, each quarter of a circle represents 1 car

White car = 4 + 4 + 4 + 2

= 14 cars

Silver = 4 + 4 + 4 + 4 + 4 + 3

= 23 cars

Grey = 4 + 3

= 7 cars

Total cars = red + white + silver + grey

= 16 + 14 + 23 + 7

= 60 cars

It can therefore be concluded that silver cars is 23 in number.

Read more on pictogram:

https://brainly.com/question/27765443

#SPJ1

If 4 units equal 36 inches, what is the value of 1 unit

Answers

Answer:

9 inches

Step-by-step explanation:

i divided 36 by 4

Answer:

9 inches

Step-by-step explanation:

You divide 36 by 4 which gives you 9 inch

Mark Brainliest Pls :(

Solve w^2+13w+42=0 by factoring.

Answers

Answer: {-7, -6}

Explanation: When an equation has a squared term in it,

it's called a polynomial equation.

The rule for solving a polynomial equation

is to first set it equal to 0, then factor.

Since this equation is already set equal to 0, we can factor the left side.

The left side is a trinomial that can be

factored as the product of two binomials.

The first term in each binomial will be a factor of the w².

Since w² factors a w · w, we use a w as our first term.

For the last terms, we use factors of 42 that add

to 13 and these factors are +7 and +6.

So we have (w + 7)(w + 6) = 0.

So either w + 7 = 0 or w + 6 = 0.

Solving for w in each equation, we find that our solution set is {-7, -6}.

The ratio of a:b is 3:4.
the ratio of b:c is 5:3.
work out the ratio of a:c

Answers

I think the best way to solve this is to convert the ratios into fractions and then subtract from there :)

solve this please

log(4x+16)=2

Answers

Answer:

X = -3.5

Step-by-step explanation:

Answer:

-7/2

Step-by-step explanation:

4x+16=2

  -16      -16

4x= 2-16

4x=-14

/4    /4

x= -7/2

Please help me mark u brainliest anything please i beg u : and i am lady
in the interval 0 x 360 find the values of x for which tan x =-0.6745

Answers

Answer:

180

Step-by-step explanation:

Help!! will give brainiest! please no joke answers this is due by midnight

Answers

1. (1,3)
2.6,9,15 (top row)
1,2,4 (bottom row)
3. (1,3), (2,6), (3,9), (4,12),(5,15)
4. Edeena walks 6 miles in 2 hours.
hope this helps
1 -
(1,3)

2 -
Top of chart - 3,6,9,12,15
Bottom of chart - 1,2,3,4,5

3 -
(1,3) (2,6) (3,9) (4,12) (5,15)

4 -
(The picture)

5 - Sadly not sure about this one

at a basketball game, 18% were supporting the visiting team. if 2624 people attending supported the home team, what was the total number of people attending the game?

Answers

Answer:

2624= 82%

18%= 2624/82=32. 32*18=576

Step-by-step explanation:

If 2624 people attending supported the home team, the total number

of people attending the game will be 3200.

What is the percentage?

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

The usage of percentages is widespread and diverse. For instance, numerous data in the media, bank interest rates, retail discounts, and inflation rates are all reported as percentages. For comprehending the financial elements of daily life, percentages are crucial.

It is given that 18% were supporting the visiting team and 2624 people attending supported the home team as a result 82 % were supporting the home team,

Let the total number of people attending the game be x.

⇒82% of x = 2624

⇒(82/100)×x= 2624

⇒x= (2624×100)÷82

⇒x=3200

Hence, if 2624 people attending supported the home team, the total number of people attending the game will be 3200.

Learn more about the percentage here:

brainly.com/question/8011401

#SPJ6

7/12
Which expression is equivalent to this fraction?

Answers

Answer:

12/7

Step-by-step explanation:

yes ! cd

An 8-pack of toy cars costs $5.97. What is the unit price, rounded to the nearest cent? ​

Answers

Answer:

$0.75 per toy car

Step-by-step explanation:

Divide 5.97 by 8

5.975/8=0.746875

Now round to the nearest cent which is the hundredths place

0.75

O.75
PLEASE MARK ME BRAINLEST

What will be true about the sixth term in the pattern below?


1, 2, 4, 8, ...


It will be an even number greater than 16.


It will be an even number greater than 32.


It will be an odd number greater than 16.


It will be an odd number greater than 32.

Answers

it will be an even number greater than 16

HIIIOO can someone please help me! I miss class and I don’t know what we learned about❤️

Answers

Answer:

The answer is C

Step-by-step explanation:

I got this by these steps:

1. Since you have the transversal FH you know that H is going to equal 180

2. So all you do know is subtract 180-82

3. You get 98

4. M<FHJ is 98

Hope that helps

Answer:

=28

Step-by-step explanation:

since its made of two triangles, you can calculate one of the triangles and multiply by two

the degrees of a triangle is 180 degrees

70+82= 152

180-152= 28

can i get brainiest plsss

A 381 foot cable runs from the top of a radio tower to a skate in the ground. If it hits the ground 167 feet from the base of the tower , what is the angle of elevation that is makes with the ground?

Answers

Answer:

64°

Step-by-step explanation:

Using Pythagoras rule :

Cosθ = adjacent / hypotenus

Adjacent = 167

Hypotenus = 381

Cosθ = 167 / 381

Cosθ = 0.4383202

θ = Cos^-1(0.4383202)

= 64.003

Hence, angle of elevation = 64°

Solve the following proportion for x.

X/13 = 17/7

Round your answer to the nearest tenth.

Answers

Answer:

31.6

Step-by-step explanation:

x / 13 = 17 / 7

7x = 221

x = 221 / 7

x = ~31.6

Jason needs to run 30 laps before basketball practice. His coach makes a deal with the team that on Friday’s they only need to complete 5/6 of that.



Write an expression or equation to represent the number of laps to complete on Friday.

Answers

Answer:

a little bit less than 30

Step-by-step explanation:

The winning time for a race are shown in the table.

Which answer describes the average rate of change from year 2 to year 4?

A) the winning time increased by an average of 0.4 second per year from year 2 to year 4.

B) the winning increased by an average of 0.8 second per year from year 2 to year 4.

C) the winning time increased by an average of 0.475 second per year from year 2 to year 4.

D) the winning time increased by an average of 0.267 second per year from year 2 to year 4.

Answers

Answer:

The winning time increased by an average of 0.4 second per year from year 2 to year 4.

Step-by-step explanation:

I just took the quiz

The winning time for a race displayed in the table would be:

A). The winning time increased by an average of 0.4 seconds per year from year 2 to year 4.

Find the increase in winning time:

Given that,

Year                             Winning Time(seconds)

1                                          27.5

2                                         28.4

3                                         28.7

4                                         29.2

5                                         29.44

The total change in the time = (0. + 0.3 + 0.5 + 0.24)/4

= 0.485 seconds

If we round off, it becomes 0.5 seconds.

Therefore, it can be considered that an average of 0.5 seconds changes every year from year 2 to 4.

Thus, option A is the correct answer.

Learn more about "Time" here:

brainly.com/question/26941752

Answer fast!!!!!!!!!

Answers

Answer:

$0.52 = 0.52

Step-by-step explanation:

I think so.....

ILL GIVE BRAINLIEST FOR FIRST ANSWER!
Divide.

12÷18

Answers

Answer:

0

Step-by-step explanation:

what is 8.154 to 1 decimal place?

Answers

What is 8.154 rounded to 2 decimal places?" is the same as asking, "What is 8.154 rounded to two decimal points?" or "How to round 8.154 to two decimal places."

The main point is that you want to round 8.154 to two digits or places after the decimal point. Thus, we want to eliminate the last digit in 8.154. To eliminate the last digit in 8.154, we use the following Two Decimal Places Rules to get the answer:

Two Decimal Places Rule #1: If the last digit in 8.154 is less than 5, then remove the last digit.

Two Decimal Places Rule #2: If the last digit in 8.154 is 5 or more and the second to the last digit in 8.154 is less than 9, then remove the last digit and add 1 to the second to the last digit.

Five integers have a mean of 8. The
integers are 7, 3, 10, 13, X. Find the
value of x.

Answers

Mean = (7+3+10+13+x)/5

(7+3+10+13+x)/5 = 8

(7+3+10+13+x) = 40
x = 40-7-3-10-13 =7

Answer fast!!!!!!!!!!!!!!

Answers

this is the answer 0.7
decimal form is 0.7, hope this helps

Which equation represents a line that is perpendicular to line PQ?
10
U
-
.
- 10
-8
-6
-2
-60
10
2
4
on
8
-10
OA y = 3s - 2
OB. y = 3+ + 4
OC y = -5 -5
= -33 +6
o
D.

Answers

The answer is B.
PQ’s equation is y = 3x - 17 therefore B is perpendicular because 3 x 1/3 = -1

Write equation of a line parallel or to a y=2x+3 that passes the ordered pair (3,6)

Answers

Answer:

y = 2x

Explanation:

To write the equation of a line u use the formula y = mx + b, where

y = y coordinate

m = slope

x = x coordinate

b = y intercept

One thing about parallel lines is that they always have the same slope. If you want to find a line parallel to y = 2x + 3, then the parallel line will also have a slope of 2.

So far, then, the equation would look like this: y = 2x + b

To find the y-intercept, we substitute in the values from (3,6) into the equation because the line passes through that point. So:

y = 2x + b

(6) = 2(3) + b

6 = 6 + b

6 - 6 = b

b = 0

Since the y-intercept is 0 (so the line passes through the origin), it doesn't need to be written on to the end of the equation.

y = 2x + 0 is just

y = 2x

That's your final equation! hope this helps!

MANUFACTURING. The number of cars built varies
directly as the number of hours the production line
operates. What is the ratio of cars built to hours of
production? At this rate, how many cars can they
build in 5 hours?

Answers

Answer:

60 cars per hour

Step-by-step explanation:

Katie answered 2/3 of a 15 problem math correctly. How many questions did Katie answer incorrectly?

Answers

2/3 of 15 is 10:)
so i believe she got 5 incorrect
Other Questions
Help for this questionPredict: Over time, what will to happen to the populations of light and dark months on light trees? can someone help me write a poem for english? instructions: write a short poem (4-6 lines) about your own dream. what are they? what do they look like? try to use end rhyme. (one of my dreams is to be a critical care nurse!!) the spinner shown is -2(x-3)-2simplify the expression Please help if you know Spanish!Conjuga el verbo superar en el pretrito Lissy _________Yo ___________T y yo _____________Juan y Luis ______________T ______________________ Write a letter to the local government chairman explaining the poor condition of electricity in your community Please help 20 points! Ok last question its very "hard" mods don't deletewhat is 3x+12= 42 How can you use the DISTRIBUTIVE PROPERTY solve the equation: 3(x-4) = 24 ? * Before becoming President of South Africa, Nelson Mandela was best known for A. leading the struggle against apartheid. B. helping South Africa win independence from Britain. C. promoting the idea of Pan-Africanism. D. improving the economy of South Africa.first to answer gets brainliest Which relationship describe angles 1 and 2 Vertical anglesAdjacent anglesSupplementary anglesComplementary angles who is Safai karamcharis? what will they do which value of x makes the equation 1.25(4 x-10)=7.5 true? A. 3.5B. -1C. -0.5D. 4 how do you know how many solutions are possible for a system of equations 7. Which activity occurs during the process of photosynthesis? *1A.Chemical energy from organic molecules (glucose) is converted into light energyB.Organic molecules (glucose) are absorbed from the environment.C.Organic molecules (glucose) are converted into inorganic food moleculesD.Light energy is stored as chemical energy in organic molecules. Please help me with 3 questions Use the outline to answer the question.____________?_____________Limiting free speechEducation for all citizensGovernment control of private businesses and industryWhich of the following would make the BEST title for the outline?Question 3 options:Communist Goals of the Cold WarEconomic Strategies of BatistaEarly Laws Under Fidel CastroLegacy of Fulgencio Batista plz help this is what might get m to a 100 so plz help me Why do many people in Algeria, Morocco, and Tunisia speak French as a second language today? Heya, could someone help me figure this out? I'm kinda stuck on this question :p