Three friends are comparing their weekly paychecks. Donald discovers that he earned one-third of Michael's paycheque, and $80 less than Jacob's paycheque. Together, the three friends earned $2920 in one week. How much did each friend earn?

Answers

Answer 1

Answer: Michael's paycheque = $ 1704

Donald's paycheque =  $ 568

Jacob's paycheque = $ 648

Step-by-step explanation:

Let x = Michael's paycheque

Donald's paycheque = [tex]\dfrac13x[/tex]

Jacob's paycheque = [tex]\dfrac 13 x+80[/tex]

Together, the three friends earned $2920 in one week.

[tex]\Rightarrow\ x+\dfrac13x+\dfrac13 x+80=2920\Rightarrow\ (\dfrac{3+1+1}{3})x=2920-80\\\\\Rightarrow\ \dfrac{5}{3}x=2840\\\\\Rightarrow\ x=2840\times\dfrac{3}{5}\\\\\Rightarrow\ x=1704[/tex]

Michael's paycheque = $ 1704

Donald's paycheque = [tex]\dfrac{1704}{3}=\$ 568[/tex]

Jacob's paycheque = $ 568+80 = $ 648


Related Questions

a=10t+0 find the y intercept

Answers

Answer:

0

Step-by-step explanation:

The y intercept is the constant in this equation, as in the only number unaccompanied or affected by a variable. In this case, assuming y is a and x is t, the y intercept is 0. You can test this by plugging in y=10x+0 into a graphing calculator. The y intercept is where x equals 0, and so if you plug in 0 for x, the result (in this case 0) is the y intercept. Hope this helps, brainliest is always appreciated and have an amazing day!

plz i need help hurry
and how do you mark brainliest

Answers

Answer:7 times 3.14=21.98

Step-by-step explanation:click the crown at the bottom of my answer

Answer:

43.98

Step-by-step explanation:

arc length =2* pie * r

*
Which graph represents the function f(x) =
c) = (3)
ty
3
ty
3
ty
3
ty
3
3
2
2.
2
2
1
1.21
2 3 4
2 3 4
2 3 4
2 3 4
O
o

Answers

The equation of the graph of [tex]f(x) = (\frac{3}{2})^{-x}[/tex] is graph (b)

The equation of the graph is represented as:

[tex]f(x) = (\frac{3}{2})^{-x}[/tex]

See attachment for the graph of [tex]f(x) = (\frac{3}{2})^{-x}[/tex]

From the attached graph, the curve passes through points (0,1) and (2,0.5).

Hence, the equation of the graph of [tex]f(x) = (\frac{3}{2})^{-x}[/tex] is graph (b)

Read more about graphs and functions at:

https://brainly.com/question/3939432

Yep here we go again:

In the diagram below, the red angle angle YAK and the blue angle angle OAT are both right angles. If angle YAO=23 then what is the measure of angle KAT

If you don't know the answer or not sure, please don't answer it!
Whoever answers it correctly gets brainliest!!

Answers

Answer:

23 degrees

Step-by-step explanation:

90+23-90=23

9514 1404 393

Answer:

  23°

Step-by-step explanation:

Both angles YAO and KAT are complementary to angle OAK, so are congruent.

  ∠YAO = ∠KAT = 23°

** PLEASE ANSWER I’L GOVE YOU BRAINLYLIST**

Answers

Penelope eats 4 chocolates per day, because in one day, 20 chocolates are in the box. Then, after 2 more days, 8 chocolates are eaten. That means, if she eats an even amount of chocolates, she eats 4 chocolates per day. To check this pattern, on the fourth day, there are 8 chocolates left. 12 - 8 = 4, and the pattern would continue. On the fifth day, 4 chocolates would be left, and on the sixth day, 0 chocolates would be left.

question: find the value of t

Answers

Answer:

t = 5

Step-by-step explanation:

since those 2 angles make up 180 degrees turn it into an equation

20t + 5 + 15t = 180

combine like terms 20t + 15t = 35t

the equation is now 35t + 5 = 180

subtract 5 from both sides, 5 - 5=0, 180 - 5 = 175

35t = 175

now divide each side by 35, 35t/35 = t, 175/35= 5

t = 5

hope this helps :)

Answer:

5

Step-by-step explanation:

Line (which has the the equation)= 180

So,

15t + 20t + 5 = 180

35t + 5 = 180

35t = 180 - 5

35t = 175

t = 175/35

t = 5

PLS PLS PLS THIS IS VOCAB FOR MATH ONLY HAVE UNTILL 7:30 TO DO SEVERAL ASSIGHNMENTS1. a number belonging to the set made up of the counting numbers: 1, 2, 3, and so on

2. a number that is greater than zero

3. a line that graphically represents all numbers

4. a pair of numbers whose sum is zero

5. any number belonging to the set of counting number, or zero

6. a number that is less than zero

7. a number belonging to the set made up of the whole numbers and their opposites

8. two numbers that are the same distance from zero on the number line but in opposite directions

Answers

Answer:

1. natural numbers

2. positive

3. number line

4. zero pair

5. whole number

6. negative

7. integer

8. opposite

Step-by-step explanation:

This is my guess. Take it with a grain of salt. Have a great day!

Answer:

2. positive integers

3. number line

4. I don't know

5. whole number

6. negative integer

7. integers

8. absolute value???

4 = y - 4
3 = 9 - y
1 = 8 - y
2 = 9 - y
4 = y - 3

Answers

Answer: a a a a. Aa

E s. Ss s

Step-by-step explanation:

s. S s s s. S s s s s

The number of different types of drinks that a barista makes in one week is related to the cost of the drink. A collection of data on the cost of
a particular drink and the number of that drink made over the course of the week is shown in the table below, where x represents the cost of
the drink in dollars, and y represents the number of drinks made at each cost.
X
у
97
84
1.85
2.10
2.45
3.25
66
70
3.50
65
58
3.65
4.15
51
4.45
40
44
4.70
5.10
27
Using a residual plot determine if the following model is a good fit for the data.
y = -11.52 + 120.45
ОА No. The model is not a good fit because the residual plot has a random pattern,
ОВ. No. The model is not a good fit because the residual plot does not have a random pattern
OcYes. The model is a good fit because the residual plot has a random pattern.
OD Yes. The model is a good fit because the residual plot does not have a random pattern.
Reset
Next

Answers

Answer:

Step-by-step explanation:

b

Answer:

it's C bro i just took it

Jordan bought 3 bags of chips and 4 bars of chocolate and paid $7.25. Diego bought 2 bags of chips and 3 bars of chocolate and paid $5.25. What is the cost of a bag of chips and a bar of chocolate?

Answers

Answer:

Step-by-step explanation:

I need a lot of heeelp pleaseee

Answers

Answer:

i think its mn

Step-by-step explanation:

its the 2 close to qs

GIVING BRAINLIST!!! m∠GHI=98° and m∠JKL=82°.

Which statement is true about ∠GHIand​∠JKL​?




The angles are neither complementary nor supplementary.

The angles are complementary.

The angles are supplementary.

Answers

Answer:

The angles are supplementary

Step-by-step explanation:

Supplementary angles add up to 180 degrees

Hope this helps! :)

Answer:

The angles are supplementary.

Step-by-step explanation:

82 plus 98 is 180, so the angles are supplementary.

I hope this helps!

Thx for Brainliest!

−2x+5=−25
x =

green what’s the answer

Answers

Answer:

x = 15

Step-by-step explanation:

-2x= -25-5

-2x=-30

x= 15

Explain the first steps to factoring when the leading coefficient is 1.

a) List the factors of a that add up to b.
b) Split the c term to factor by grouping.
c) Find the factors of c that add up to b.
d) Multiply b and c, then find the factors.

Answers

Answer:

In general, for a trinomial of the form x2+bx+c x 2 + b x + c you can factor a trinomial with leading coefficient 1 by finding two numbers, p and q whose product is c, and whose sum is b.

Nebi has already typed 250 words. He then starts a timer and finds that he types 150 words in 3 minutes. If Nebi types at a constant rate, write a linear equation to represent the number of words w Nebi types m minutes after starting the timer.

Answers

Answer:

198

Step-by-step explanation:I

Answer: w= 150m

Step-by-step explanation:

MARK BRAINLIEST




hi guys













i need help only 19​

Answers

y = 2/3x + 11/3

slope: (y2-y1)/(x2-x1) = (5-3)/(2- -1) = 2/3

point intercept form: (y-y1) = m (x-x1)
(y-3) = 2/3 (x+1)

solve for y
y-3 = 2/3x + 2/3
y = 2/3x + 11/3

Convert the following fraction to a decimal.
23/99

Answers

Answer:

23/99 as a decimal is 0.23232323232323.

Step-by-step explanation:

In fractions, the numerator is the number above the line and the denominator is the number below.

The line in a fraction that separates the numerator and the denominator represents division.

To convert a fraction to a decimal, divide the numerator by the denominator.

A medical provider is doing a study to determine the average time spent waiting before an appointment. The current average wait time is 34 minutes, which is 15% shorter than the average was when the study started. What was the average wait time then?

Answers

Answer:

39.1 minutes

Step-by-step explanation:

Given that:

Current wait time = 34 minutes

Current wait time is 15% shorter than average wait time when study started.

Average wait time when study started :

15% of current wait time :

0.15 * 34

= 5.1 minutes

Average wait time when study started :

34 minutes + 5.1 minutes

= 39.1 minutes

Question 1
Write an equation of the line parallel to y = –3x + 8 through (1, –4).

Question 2
Write an equation of the line perpendicular to y =1/3x – 5 through (–6, 2).

Answers

1. y = -3x - 1
2. y = -3/1x + 16

Steps are on paper. If you need more explanation, you can comment.

graph the parabola. y=(x-3)^2-1

Answers

Answer:

Step-by-step explanation:

y = (x-3)²-1

This is the equation for an up-opening parabola with vertex (3,-1).

Find the x-intercepts:

0 = (x-3)²-1

(x-3)² = 1

x-3 = ±1

x = 4, 2

The graph crosses the x-axis at (4,0) and (2,0).

Find the y-intercept:

y = (0-3)²-1 = 8

The graph crosses the y-axis at (0,8).

Plot your four points (3,-1), (4,0), (2,0), (0,8). Draw an up-opening parabola through the points.

What is the NPV of (x-5)

Answers

Np is = to positive 5

what is the hcm of 18 and 45

Answers

Answer:

90

Step-by-step explanation:

90 Or, we can say that it is a method of breaking down the given integer into its prime factors. Therefore, the HCF of 18 and 45 is 9. Therefore, the HCF of 18 and 45 is 90.

Find the 9th term of the geometric sequence 6, -24, 96,

Answers

Step-by-step explanation:

the process is show in the above picture.

1/2x + 7 = x + 13 solution

Answers

Answer:

-3

Step-by-step explanation:

There are 6 balls. Half of the balls are blue. One ball is red. The rest are green. Write the fraction for the green balls.

Answers

2/6 of the balls are green or 1/3

Answer:

1/3 (Minimized) 2/6

Step-by-step explanation:

Mr.Rodriguez has 1/2 cake left from his buthday party. He wants to share it among 4 people What fraction represents how much of the cake each of the 4 people will get

Answers

Answer:

Step-by-step explanation:

There is 1/2 cake left, or .5, or 50%.

.5 divided by 4 equals .125, or 1/8, of 12.5%

In fraction form, each person will receive 1/8 slice of cake.

Hope this helps!

Mark Brainliest plz!

Each of the 4 people will receive 1/8 of the cake.

2/5 of 146 as a decimals

Answers

I think it’s 58.4 I’m not sure if my answer is completely right . Just let me know if I’m right . Hope this can help

In x^a=y, y^b=z, z^c=x, then prove that abc=1​

Answers

Step-by-step explanation:

Let, x^a =y......(1) and

y^b =z.....(2) and

z ^c =x......(3).

Now, using (1) in (2) we get,

x ^ab =z......(4).

Now, using (4) in (3) we get,

x ^abc =x

or, x ^abc =x ^1

or, abc=1.

Hope it will help :)

Step-by-step explanation:

hope the above solution will help you

a right circular cylinder with a radius of 2.3cm and a height of 1.4cm has a total surface area of ​

Answers

Answer:

i think 6.44

Step-by-step explanation:

first the diameter is 4.6 then multiply the 4.6 with 1.4 and u obtaine 6.44 (note:iam not sure iam still in seven grade)

Which inequalities have -0.5, 2.5, and 4 as part of the solution set? Select all that apply.
z > -3
z < 5
z < 4
z Less-than-or-equal-to 4
z > 0

Answers

Z>-3

Z<5

Z< or = 4

These 3 above have the 3 numbers in the solution set!

You just have to test each number in each inequality, and when all 3 of them work, the inequality is a part of the solution set!

Also Thanks for the 50 Points!

The inequalities are z ≤ 4 and z < 5 that have -0.5, 2.5, and 4 as part of the solution set.

What is an inequality?

In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to each other. To solve the inequality, you may multiply or divide each side by the same positive number, add the same amount to each side, take the same amount away from each side, and more. You must flip the inequality sign if you multiply or divide either side by a negative number.

If the inequality have -0.5, 2.5, and 4 as part of the solution set.

That means, the required value has to be less than or equal to 4.

So, the inequalities are z ≤ 4 and z < 5.

Therefore, the inequalities are z ≤ 4 and z < 5.

To learn more about the inequality;

brainly.com/question/28823603

#SPJ6

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