Solve the following word problem by creating an algebraic equation and solving for the unknown value.

Madison and Mackenzie made $87 selling girl scout cookies. Madison made $15 more than 2 times as much as Mackenzie made. How much money did Mackenzie make?

Answers

Answer 1

Answer:

2 equations were used : x + y = 87 and x = 2y + 15

Step-by-step explanation:

Defining variables:

Madison = x

Mackenzie = y

-----------------------------------

Here's what we know:

Madison and Mackenzie made $87 selling girl scout cookies (TOGETHER). Therefore: x + y = 87

We also know that Madison made $15 more than 2 times as much as Mackenzie made.
Therefore: x = 2y + 15

Now we can substitute the 2nd equation (x = 2y + 15).

This gives us (2y + 15) + y = 87

After solving (2y + 15) + y = 87, we get y = 24

Okay, so now we know Mackenzie sold $24 worth of girlscout cookies...

this is also known as y = 24

---------------------------------------------------------------------------------------------------------

If we were to find out how much madison made aswell, here's what we would do.

We will put y = 24 back into the original equation  (x + y = 87).

x + 24 = 87

x = 63

Madison sold $63 worth of girlscout cookies.

Answer 2
the two equations used are x+y=87 along with x=2y+15

Related Questions

Which of the following is not a step when drawing an angle?

A. Draw a ray

B. Connect the arrows with a straight line

C. Line up the baseline on the protractor with the ray

D. Draw arrows on both ends to make them rays

Answers

Answer:

B

Step-by-step explanation:

a angle is not the same thing as a triangle and so therefore the lines at the end do not need to be connected.

D u don’t need arrows

SOMEONE PLEASE HELP ME!
Carrie is creating a painting for art class. The width of the canvas is 5 inches greater than the height of the canvas. Write a simplified equation in terms of h (the height) for the perimeter, p, of the canvas. (Please show works!)

Answers

Answer:

5h

Step-by-step explanation:

there are no out numbers so it would just be 5h

5+h+5+h+h+h=P

Since there are 4 sides, there are going to be 4 terms.

In 2010, the population of a city was 231,000. From 2010 to 2015, the population grew by 5%. From 2015 to 2020, it fell by 3%. To the nearest 100 people, what was the population in 2020?

PLEASE ANSWERR

Answers

Answer: 172000 ; Step-by-step explanation: Population growth from 2010 to 2015 if population increased by 8% = 1.08 x 168,000. = 181440.
Answer: 235,300

Solving steps

231,000 x 0.05 = 11,550

231,000 + 11550 = 242,550

242,550 is the population in 2015

242,550 x 0.03 = 7276.5

242,550 - 7276.5 = 235,274.5

Round to the nearest hundred

235,300.

ANSWER: 235,300 people in 2020

Mrs maggio needs 48 hot dogs harris teeter sells a 6 pack of hot dogs for 5.10$ and 8 pack for 6.88$ sould mrs maggio buy 8 six packs or 6,8 packs

Answers

Answer:

Eight 6-packs

Step-by-step explanation:

6-pack of hot dogs for 5.10$

8-pack of hot dogs for 6.88$

To figure out the answer, we compare the prices:

The price of six 8-packs is $41.28 ($6.88 x 6)

The price of eight 6-packs is $40.80 ($5.10 x 8)

As we can see, the cheaper option would be to buy eight 6-packs, which is our answer.  

Eight 6-packs is cheaper

The graph shows the cost of producing gadgets. which equation best represents the cost C of producing n gadgets?

Answers

Answer:

[tex]C = 0.10n[/tex]

Step-by-step explanation:

If you study the graph you will see that there is no cost for producing zero gadgets. Cost = $0

For 100 gadgets the cost is $10

For 200 gadgets the cost is $20

etc

So the cost in $ is 1/10 times the number of gadgets

For 1 gadget, it costs [tex]\$\dfrac{1}{10}[/tex] or $0.10

For n gadgets it should cost $[tex]0.1n[/tex] same as [tex]\$\dfrac{n}{10}[/tex]

Mathematically speaking the graph represents the equation of a straight line which is of the form

y = mx + b

where y represents the vertical axis and x the horizontal axis

The variable m represents the slope of the line which is the increase of y for every unit increase in x.

The slope, m can be determined by using the formula [tex]\displaystyle \dfrac{y2-y1}{x2-x1}[/tex] where x1, y1 and x2, y2 are two points on the graph

This is also called rise/run

b is called the y-intercept and it represents the value of y where the line crosses the vertical axis

The difference here is that instead of y, we are using C as the variable for the vertical(y) axis and n as the variable for the horizontal(x) axis

So we get the modified equation as
C = m·n + b

We can see that when n = 0, C = 0 so b = 0 because the vertical intercept is zero

To calculate m, take any two points on the line

I choose (0, 0) and (100,10)

[tex]\rm Slope \;m = \dfrac{10-0}{100-0} = \dfrac{10}{100} = \dfrac{1}{10} = 0.10\\\\[/tex]

This means that for every gadget produced the cost will increase by $0.10

The equation becomes C = 0.10n + b and since b is 0 we get

[tex]C = 0.10n[/tex]

(-7.8)⁹/(-7.8)⁴

help please

Answers

Answer:

(-7.8)^5 or approx. -28871.74368

Step-by-step explanation:

9 - 4 = 5

(-7.8)^5 = approx. -28871.74368

Can someone help, please

Answers

Answer:

  y = 7x +10

Step-by-step explanation:

Given a y-intercept of 10 and a slope of 7, you want the equation of the line in slope-intercept form.

Slope-intercept equation

The slope-intercept form equation of a line is ...

  y = mx +b . . . . . . . where m is the slope, and b is the y-intercept

You are given a slope of 7 (m=7) and a y-intercept of 10 (b=10), so the equation is ...

  y = 7x +10

y=7x+10 is the answer. The slope formula is y=mx+b. m= slope, b= y-intercept.

________ is measured in square units because it has two dimensions: length and width.

Area
Height
Perimeter
Volume

Answers

The answer will be area

Answer:

Area is measured in square units because it has two dimensions: length and width

This is to everyone.


I know everyone out here has some physical or mental stuff, (including grades)


Just know that you deserve the world.


I encourage you all to respond to questions throughout this brainly app/website appropriately. please put effort into your responses.


ok, by now I probably sound like I'm trying to be your parent, sorry.


It happened to me and it makes me (and others) sad, and I'm speaking for all the people out there with people responding to their posts with nonsense.


to those out there who are kind and respectful out there with your responses, thank you so much for your help and support.


If anyone out here has "thoughts" about themselves, you don't deserve those "thoughts" you say to yourself.


Happy birthday to anyone out there with a birthday either coming up, already occurred, or happening today!

Happy early Xmas to everyone!

Happy early Hanukkah to everyone!

Happy early kwanza to everyone!

(below is the question to answer)

moving away from everything I've said, how is everyone doing?


has anyone told you that they were proud of you? if not, well now someone has!


Challenge of the day:

make someone happy today!

Answers

great, thanks for asking.
uhhhhhhhhhhhhhhhhhhhh

What the solution to the inequality 3/4(-8x-4)-2x>5

Answers

Answer: x < -1

Step-by-step explanation:            Simplify   3/4

3                        

 ((— • (-8x - 4)) -  2x) -  5  > 0

   4                        3.1     Pull out like factors :

  -8x - 4  =   -4 • (2x + 1)

 (-3 • (2x + 1) -  2x) -  5  > 0
5.1     Pull out like factors :

  -8x - 8  =   -8 • (x + 1)

The purchase price of a camcorder is $588. What is the total price if the sales tax rate is 4.5%?

Answers

Hello,

The sales tax for a camcorder that costs $588 would be $588 * 0.045 = $26.46. Therefore, the total price would be $588 + $26.46 = $614.46.

The answer is: $614.46

Please give this answer 5 stars and brainliest if you find it helpful.

Happy Holidays!

Step by step-
4.5% x 588 =26.64
588.00
+26.64
————-
614.64

Answer-
The total price for a camcorder is $614.64

Can someone help, please

Answers

slope intercept form: y = mx + b where m = slope and b = y-intercept.

you know that:

m = 6

y-intercept = 6

slope intercept form: y = 6x + 6

Answer : y=6x+6
the formula is y=mx+b
m in mx is always slope so we know what slope is so we just plug it in
and same thing for b, b is always y intercept so you just plug it in and get y=6x+6

Can someone help, please

Answers

X= 2/25,y=0 so that’s the answer have a good day

Answer:

y = 2x + 4/5

Step-by-step explanation:

Slope-intercept form is written as:

y = mx + b, where (x,y) is a point on the line, m is the slope, and b is the y-intercept.

To get 10x - 5y = -4 into the form y = mx + b, you'll first want to get y by itself. You can start by subtracting 10x from both sides.

10x - 5y = -4

-5y = -10x - 4

As you can see, y still has a coefficient of -5 in front of it, so we'll have to divide the entire equation by -5 (you have to divide each term individually).

-5y = -10x - 4

y = 2x + 4/5

Can someone help, please

Answers

Answer:

[tex]\frac{1}{4}[/tex]

Step-by-step explanation:

The slope is the change in y over the change in x.

We find the change by subtracting.

From the points given the y's are 9 and 10 and the x's are 2 and 6

[tex]\frac{9-10}{2-6}[/tex] = [tex]\frac{-1}{-4}[/tex] = [tex]\frac{1}{4}[/tex]

help me with this topic
ty!

Answers

Answer:

Step-by-step explanation:

1. False

2. True

3. True

4. False

Answer:

1. false

2. true

3. false

4. false

Step-by-step explanation:

hi please help sdijfsagg

Answers

Answer:

The given point is not on the line.

Step-by-step explanation:

3 represents x

3 represents y

1. Plug in the numbers to x and y variables

y= [tex]-\frac{2}{3}[/tex] x + 1

3= [tex]-\frac{2}{3}[/tex] (3) + 1

2. Cancel out the greatest common factor

3=-2+1

3. Solve

3=-1

If the numbers do not equal each other, then the equality is false.

Step-by-step explanation: 1. Plug in the numbers to x and y variablesy=  x + 13=  (3) + 1

2. Cancel out the greatest common factor 3=-2+13. Solve3=-1

Here are the questions about this problem.
The bus traveled a total of __
_____miles.


The bus made ____
___ stops during the route


The total time the bus traveled was _
_____ hours

i'd really appreciate the help

Answers

The bus traveled a total of 20 miles.

The bus made 4 stops during the route.

The total time the bus traveled was 8 hours.
20 miles
4 stops
8 hours

What is this function's rate of change? y = 2x + 1

Answers

Step-by-step explanation:

the rate of change or slope is the factor of x, when we have the function in the form y = ...

so, it is 2.

that means y changes by 2 whenever x changes by 1.

What does the point​ (0,0) represent? Select all that apply.

Answers

(0,0) represent the origin

The origin,(0,0) is on the bottom left on your graph
Origin. The numbers represent where you are on your graph. The first number (0) is your X, which is horizontal. The second number (0) is your Y, and that is vertical. For example, (4,-2) is 4 spaces the the right vertically and -2 is down 2 spaces vertically. For yours, because it is (0,0) you don’t move. That means that you start at that point; it’s your origin.


Hope this helped someone
( ˘ ³˘)♥︎

Under standard atmospheric conditions, water will not remain a liquid if its temperature is less than or equal to 0°C or if it is greater than or equal to 100°C. Suppose you have a cup of water that is room temperature, or 20°C.

a. Write a compound inequality to represent the number of degrees of Celsius c that the temperature of the cup must change to longer be liquid.

Answers

Answer: +80°C or -20°C

Step-by-step explanation:

This is the answer because if you add 80 then it will equal 100°C and freeze and if 20°C is taken away it will equal 0°C and freeze.

Can someone help, please

Answers

The answer is y=5x+9

Answer:

[tex]y = \boxed{5}x + \boxed{9}[/tex]

Step-by-step explanation:

y-intercept (b) = 9 (Given)

Slope (m) = 5 (Given)

Equation of line in slope-intercept form is given as: y = mx + b

Plugging the values of slope (m) and y-intercept (b) in the above equation, we find:

[tex]y = \boxed{5}x + \boxed{9}[/tex]

What’s the answer to 10-
11-12-13

Answers

-26 Is the answer.

____________________

First you have to do: 10 - 11 = -1

Then its -1 - 12 or -1 + -12 (same thing) = -13

After that, do -13 + -13 = -26.

-26

10-11= -1
then u do -13 + -13 = -26

9
13. A grocery store sells 12 bottles of water for $8 and 36 bottles of water for $20.
Is the cost of the water proportional to the number sold? Explain.
a) Proportional because the unit rates are $1.50 per bottle.
b) Proportional because the unit rates are $1.80 per bottle.
c) Nonproportional because the bottles have different unit rates.
d) Nonproportional because one grocery store has more bottles.

Answers

$8/12 bottles = $2/3 per bottle
$20/36 bottles = $5/9 per bottle
The unit rates are not the same, so c) nonproportional because the bottles have different unit rates.
The correct answer is c

Find each sum or difference
1. -1/2 + 1/3
a. -1/6
b.-1/3
c.2/3
d.1/6

2. -3 1/5 + (-6 1/2)
a. -3 2/7
b. -3 7/10
c. -9 2/7
d. -9 7/10

3. 5/8 - (-2/8)
a. -3/8
b. -7/8
c. 3/8
d. 7/8

4. -9/10 - 2/5
a. -1 3/10
b. -1 1/10
c. -7/10
d. -5/10

5. 6 3/5 - (-2 1/5)
a. - 8 2/5
b. -4 2/5
c. 4 2/5
d. 8 4/5
Please help, its currently 3:53 am...

Answers

Answer:

Step-by-step explanation:

-1/2 + 1/3

(-3 + 2)/6

- 1/6


-3 1/5 + -6 1/2

-9 + (2+5)/10

-9 7/10

5/8 - (-2/8)

5/8 + 2/8

(5+2)/8

7/8

-9/10 - 2/5

(-9-4)/10

-13/10

6 3/5  + 2 1/5

8 + (3+1)/5

8 4/5

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

-1/2 + 1/3

(-3 + 2)/6

- 1/6

-3 1/5 + -6 1/2

-9 + (2+5)/10

-9 7/10

5/8 - (-2/8)

5/8 + 2/8

(5+2)/8

7/8

-9/10 - 2/5

(-9-4)/10

-13/10

6 3/5  + 2 1/5

8 + (3+1)/5

8 4/5

do it
1 A
2 B
3 C
4 D

Answers

Answer:

A = -5/3

B = 52

C = 13

D = -2

Step-by-step explanation:

I recommend using Photomath. It both solves such math problems and also provides explanations!

Answer:

A = -5/3

B = 52

C = 13

D = -2

What is the perimeter of a rectangle with a length of Eight and one-sixth feet and a width of Six and two-thirds feet?

Fourteen and three-ninths feet
Sixteen and two-sixths feet
Twenty-nine and four-sixths feet
Forty-eight and three-eighteenths feet

Answers

Answer:   I got 54 and 4/9 so...

Step-by-step explanation:

Answer: twenty nine and two sixth or twenty nine and two thirds

29[tex]\frac{2}{3}[/tex]

Step-by-step explanation:

[tex]8\frac{1}{6}+6\frac{2}{3}= 14\frac{5}{6}[/tex] then you ad that which is [tex]14\frac{5}{6}+ 14\frac{5}{6}= 29\frac{4}{6}[/tex]

or simplified is 29[tex]\frac{2}{3}[/tex]

Can someone help, please

Answers

slope intercept form is: y = mx + b

where: m = slope and b = y-intercept.

slope = 5 and y-intercept = 5

y = 5x + 5

Answer:

1x+5

Step-by-step explanation:

????

(35 PONITS!) Consider the function g (x)=2+1 and h(x) =2x +2 for the domain 0

a. Without evaluating or graphing the functions, how do the ranges compare?

b. Graph the two functions and describe each range over the given interval.


(PLEASE AT LEAST GIVE ME ANSWER ONE!)

Answers

Answer:

b.
Slope: 2
y-intercept: (0, 2)

Step-by-step explanation:

Graph the line using the slope and y-intercept, or two points.

Can someone help, please

Answers

y = 1/8x -7
You solve by plugging in the slope and intercept to the equation y =mx + b, where m is the slope and b is the y intercept. Because the y intercept it -7, you add the negative to +b, which turns it into a negative number

Slope-intercept form is: y = mx + b

where m is the slope and b is the y-intercept.

Since you're told the slope is 1/8 and the y-intercept is -7, you just plug those into the form:

    y = 1/8 x - 7

Note that the "–" in front of the 7 is already part of the answer on paper, so you don't need to add a second one.

Write the equation of the line from the table below.

Answers

to get the equation of any straight line, we simply need two points off of it, let's use those two in the picture below.

[tex](\stackrel{x_1}{2}~,~\stackrel{y_1}{9000})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{3000}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{3000}-\stackrel{y1}{9000}}}{\underset{run} {\underset{x_2}{4}-\underset{x_1}{2}}} \implies \cfrac{ -6000 }{ 2 } \implies - 3000[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{9000}=\stackrel{m}{- 3000}(x-\stackrel{x_1}{2}) \\\\\\ y-9000=-3000x+6000\implies {\Large \begin{array}{llll} y=-3000x+15000 \end{array}}[/tex]

Other Questions
pleaseeeeeeeeeeeeeee help whats da volume A school staff meeting had 70 teachers in attendance, 40% of whom were first-year teachers. How many first-year teachers were in the meeting? Jennifer wants to borrow $20,000. Her bank offers a 7. 1% interest rate. She can afford $500 a month for loan payments. What should be the length of her loan to the nearest tenth of a year?. When being interviewed by law enforcement following a sexual assault, the victim may be accompanied by all of the following personnel, EXCEPT which one? bicoid is a gene that produces a porphogen. what results when there is a high concentration of the bicoid protein in a devlopoing [mebryo In the following reaction, 8.24 mol of P4 mix with 24.2 mol of O.P4 (s) + 5 O2 (g) 2 PO5 (s)a. Find the limiting reagent. Explain.b. How many moles of P2O5 (s) will be produced?C. How many grams of PO5 (s) will be produced? Is globalization a danger to local cultures? Why, or why not? 250 words ! the nurse has assisted in developing a plan of care for a client experiencing dystocia and includes several nursing interventions in the plan of care. the nurse prioritizes the plan and selects which nursing intervention as the highest priority? The principle that the just noticeable difference between two stimuli is always a constant is called _____. A test is worth 100 points. Each problem is worth either 2 points or 5 points. The number of 5-point problems is 22 fewer than the number of 2-point problems. How many problems of each type are on the test?There are___five point problemsThere are___two point problems Some of the elements of ____________ are a focus on a shared mission, a willingness to work together toward the same goals, and a sense of trust in each otherteamwork Santiago is a graduate student from Mexico. He experiences a culture shock during his stay in the US. Which of the following statements is most likely to be true about Santiago's observations in the US?a. he finds that people seek more personal space than himb. he finds that vegetarian people stand out from a group and are thus undesirablec. he finds hat people are more likely to stigmatize people seen as different than his countryd. he finds that people are inefficient and time-wasting Calculate 30% of 100 km. Which sentence is true of all Brnsted-Lowry bases? A. They can donate a hydrogen ion. B. They can accept a hydrogen ion. C. They can produce hydronium. D. They are positively charged. E. They are negatively charged. 1. You made a decision that you are doing to take care of the animals for the Claus family so they can go to awarmer climate for their vacation this year. They will be on vacation the months of January and February. You willbe in North Pole, Alaska caring for their Reindeer, dogs, and hanging out with some of the Elves that take care ofthings.The weather for January 2022 and February 2022 are files found with the TGA.Find the change in temperature (from the high and low) for the first day and last day of each month. How wouldyou have to pack for this trip?2. What was the hardest part for you? Explain why. The price (in dollars) of a stock tracked from noon to three on a given day is shown by the function f(t) = 0.1(t - 2)3 + 6 where t is in hours. Find the rate at which the stock price was changing at one o clock. the four phases described in slides for forensics process are identification, collection, preserving and analyzing. making a secure hash of a memory dump is in phase called Write the quadratic equation whose roots are 6 and -4, and whose leading coefficient is 1.(Use the letter x to represent the variable.) Jenna gets an iTunes gift card for her birthday and decides to buy some games and some music the music she likes costs $1.99 per song and the games costs $3.99 each if she buys a total of 12 items and spends $18.88 how many of each item did she buy Which of the following is NOT true about the role of the Supreme Court in our government?a.It is the court of last resort for those looking for justiceb. It ensures that each branch of government recognizes the limits of its own powerC.It has original jurisdiction to issue writs of mandamusd.It strikes down laws that violate the Constitution