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

(-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

This is to everyone.


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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.


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

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(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

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

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

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˘)♥︎

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:

????

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

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:

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]

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

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.

(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.

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

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

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

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.

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.

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

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

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.

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]

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]

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

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 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

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]

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]

________ 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

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

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