I sell cookies for $3 and muffins for $7. Yesterday, I made $129. I sold a total of 27 items. How many of each did I sell?

Answers

Answer 1
You sold 15 cookies and 12 muffins.

c - cookies
m - muffins

c + m = 27

3c + 7m = 129

I don’t know how to explain how to do efficiently but I just plugged in numbers until it worked:

3(15) + 7(12) = 129

45 + 84 = 129
Answer 2

Answer:

You sold 15 cookies and 12 muffins

Step-by-step explanation:

So you're given that 1 cookie is sold for $3 and 1 muffin is sold for $7

You're also given that in total you made $129, and sold 27 items

Let's make equations from that, letting c stand for amount of cookies and m for amount of muffins.

3c + 7m = 129 (equation for amount of money made)c + m = 27 (equation for amount of items sold)

Now we can use the second equation to find m:

c + m = 27

m = 27 - c

Not we can substitute m into the first equation to find c:

3c + 7m = 129                  

3c + 7(27-c) = 129            [substitute m for (27-c)]

3c + 189 -7c = 129           [distribute 7 into (27-c)]

-4c + 189 = 129                [combine like terms]

-4c = -60                          [subtract 189 from both sides]

c = 15                               [divide both sides by -4]

Now we can substitute c into the second equation to find m:

c + m = 27

15 + m = 27

m = 12


Related Questions

Is (10,2),(-3,4),(-10,6),(-3,6) a function

Answers

No, because (-3,4) and (-3,6) are on the same x value and this breaks the rule that every input can only have one output.

What is the equation of a line with a slope of 6 and a y-intercept of -8

Answers

Answer:

COULD BE Y=6x-8

Step-by-step explanation:

Answer:

y=6x-8

Step-by-step explanation:

I'm using the y=mx+b formula. m always represents the slope, and b the y-intercept. So all I did was plug the numbers in. (This can help with determining the slope and y-intercept as well, btw)

Yuson must complete 30 hours of community service. She does 2 hours each day. Which linear equation represents the hours Yuson has left after x days?
A. y = –2x + 30
B. y = 2x + 30
C. y = –2x – 30
D. y = 2x – 30

Answers

Answer:

A

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Hope this helps! :)

Are the lines y = –x – 4 and 5x -5y = 20 perpendicular? Explain.

Answers

Answer:

yes

Step-by-step explanation:

If 2 lines are perpendicular then the product of their slopes = - 1

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - x - 4 ← is in slope- intercept form

with slope m = - 1

5x - 5y = 20 ( subtract 5x from both sides )

- 5y = - 5x + 20 ( divide all terms by - 5 )

y = x - 4 ← in slope- intercept form

with slope m = 1

Thus product of their slopes is - 1 × 1 = - 1

Therefore the lines are perpendicular

Explain how solving -7y > 161 is different from solving 7y > -161.

Answers

For the first one you would have to divide -7 to both sides. And for the second one you would have to divide 7. That will isolate the variable and give you the answer for y.

how many times does 3/4 go into 12

Answers

In other words 12 ÷ 3/4.

12 ÷ 3/4

12/1 • 4/3

48/3

Answer: 16

5-7 <-3 : what is the simplified form of the inequality below ?

Answers

Answer:

5<4

Step-by-step explanation:

This inequality is not correct though.

5-7+7<-3+7

5<4

PLEASE HELP!!!!!
What is the equation of a line that is perpendicular to -x+2y=4 and passes through the point (-2,1) ?

Write the equation -x+2y=4 in slope-intercept form

Identify the slope of the line represented in part a.



What is the slope of the line perpendicular to the line in steps a and b?



Write the equation of the perpendicular line in slope-intercept form.

Answers

Answer:

y=1/2x+b

Step-by-step explanation:

-x+2y=4 = 2y=x+4

2y/2=(x+4)/2 = y=1/2x+2

1=1/2(-2)+b = 1=-1+b = 2=b

y=1/2x+2

slope= 1/2

y-intercept= 2

*/= division*

Simplify simplify √18

Answers

Answer:

Step-by-step explanation:

I can help

Step 1

√18  Simplify

3√2

Step 2

3√2  Check

Answer

3√2

Hope this helped

PLEASE PLEASE HELP GIVING BRAINALIST AND EXTRA POINTS FOR FIRST PERSON

Answers

Answer:

17. x = -2

18. All real numbers

19. No solution

Step-by-step explanation:

17. 10z + 26 = -3z

    -10z            -10z

26 = -13z

Divide both sides by -13

-2 = x

18. 4(3x - 5) = 2(6x - 10)

Distribute the 4

12x - 20 = 2(6x - 10)

Distribute the 2

12x - 20 = 12x - 20

Both sides are equal

All real numbers

19. 6m - 3 = 3(2m - 4)

Distribute the 3

6m - 3 = 6m - 4

     +3             +3

6m = 6m - 1

-6m   -6m

0 = -1

No solution

I hope this was helpful! <3

Could I get brainliest?

Suppose that in an alternate universe, the gambler's fallacy is true: the more a gambler loses, the more likely she is to win the next game. To be precise, if the gambler loses a game, she will win the next game with probability 3/4. If the gambler wins the game, she will win the next game with probability 1/2.

Answers

Answer and explanation:

The gambler's fallacy is the fallacy of belief that if an event such as a loss occurs more frequently in the past, it is less likely to happen in the future. We assume here that this belief is true, therefore

If she loses, her probability of winning increases =3/4

If she wins, her probability to win is normal =1/2

Given that probability of winning is 1/2

Probability of losing is 1-1/2=1/2

Probability that she wins the tournament is probability that she wins the first two games and loses the last or wins the first game, loses the second and wins the last or loses the first game and wins the last two games or probability that she wins all three games

=1/2*1/2*1/2+1/2*1/2*3/4+1/2*3/4*1/2+1/2*1/2*1/2

=25/48

Probability of winning the tournament if she loses the first game

=1/2*3/4*1/2= 3/16

Note: whenever there is "or" in probability, you add

In a flower garden there are 3 tuilps for every 7 daisies if there are 21 tulips his many daisies are there​

Answers

Answer:49

Step-by-step explanation:

3:7 tulips to daisies

so if there are 3 tulips what * what = 21? 7

so 7 * 7 =49

there are 49 daises

Make a ratio 3:7 and 21:x
7/3 = daisies for tulips
3.5 daisies for every tulip
21 times 3.5 = 73.5 daisies

Christine’s pet bunny ate 0.513 pounds of carrots on Friday. What is this number in word form?
five hundred thirteen hundredths
five thirteen thousandths
five hundred thirteen thousandths
five hundred thirteen tenths

Answers

Answer: five hundred and thirteen thousandths

Step-by-step explanation:

1. Is the ones place .0 is the tenths .00 is the hundreths .000 is thousandths look at the decimal and however many numbers are in front or behind.

Answer:

513

Step-by-step explanation:

Write the equation of an ellipse
with the given characteristics:
Vertex at (3,-1)
Vertex at (3,-11)
Focus at (3,-9)

Answers

Answer:

ahhha lol

Step-by-step explanation:

what is the correct answer?​

Answers

Answer:

Step-by-step explanation:

124 I think

hector and alex traded video games. alex gave hector one fourth of his video games in exchange for 6 video games. then he sold 3 video games and gave 2 video games to gis brother. alex enbed up with 16 video games. how many video games did alex have when he started?​

Answers

Answer:

The answer is 26.

Step-by-step explanation:

Read the information in the box below. Last year during the hurricane season, the amount of rain that fell on the Texas Gulf Coast in October was 14 inches, which was 312times more than the rainfall during September of the same year. How much rain fell during the month of September?

Answers

Answer: 4 inches

Step-by-step explanation:

From the question, we are informed that Last year during the hurricane season, the amount of rain that fell on the Texas Gulf Coast in October was 14 inches, which was 3 1/2times more than the rainfall during September of the same year.

The amount of rain that fell during the month of September can be calculated as:

= 14 inches ÷ 3 1/2

= 14 ÷ 7/2

= 14 × 2/7

= 28/7

= 4 inches

The rain that fell during the month of September was 4 inches.

on a sunny day a goal post casts a 75 feet shadow. a 6 1/2 feet tall ball player standing next to the goal post has a shadow 19 1/2 ft. long how tall is the goal post

Answers

Answer: 62 Ft

Step-by-step explanation:

The shadow adds 13ft

How we know- 19 1/2 - 6 1/2 = 13 ft

So we need to take away 13ft to find out the goal post actual height

75-13= 62

orge had $235.00 in his checking account. He withdrew $20.00 each day on Monday, Tuesday, and Wednesday. George got paid on Friday and deposited $130.00 into his checking account. Then on Saturday, he withdrew two checks- one for $167.00 and one for $88.00. What was his checking account balance after writing the checks?

Answers

Answer:

Orge has $50 left in his checking account.

Step-by-step explanation:

PLEASE HURRY MATH BREAINLEST HELP

Answers

Answer:

Step-by-step explanation:

531441 or 3^12

25

You are shopping for school supplies and want to decide where you should buy pencils from. SupplyCo sells a 10 pack of pencils for $0.95. SchoolShop sells a 10 pack of pencils for $1.45 but you have a $3.00 coupon. How many packs of pencils would you have to buy for the prices to be the same at each store?

Answers

Answer:

120 (60 from each store)

Step-by-step explanation:

Given that:

Price for 10 pack of pencils at SupplyCo = $0.95

Price for 10 pack of pencils at SchoolShop = $1.45

Discount coupon at SchoolShop = $3.00

Let the number of packs of pencils bought = [tex]2x[/tex] (in pack of 10)

Then [tex]x[/tex] will be the number of packs of 10 bought at each store.

Therefore, price at SupplyCo for [tex]x[/tex] packs (in pack of 10) = [tex]0.95x[/tex]

And price at SchoolShop for [tex]x[/tex] packs (in pack of 10) = [tex]1.45x-3.00[/tex] (because there is a coupon of $3.00)

As per question statement, price at both the stores is same:

[tex]0.95x=1.44x-3\\\Rightarrow 0.5x=3\\\Rightarrow x=6[/tex]

Therefore, number of packs bought = [tex]2x\times 10 = 2\times 6\times 10 =\bold{120}[/tex] (60 from each store)

Can somebody please help me with this math question

Answers

Answer:

x=4 degrees

Step-by-step explanation:

its an equilateral triangle so all sides are equal, if one angle is 10x+20,then the rest are each 10x+20.This is a triangle and it adds up to 180 degrees. So in total, (10x+20)×3=30x+60.So you do this, 30x +60=180 degrees, you take the sixty to the other side and subtract it from 180 ,you'll get 120 degrees, then divide 120by 30x

In the diagram shown below, parallel lines m and n are crossed by transversals r and s. Which of the following is the sum of angles 1 and 2 pictured?

Answers

Answer:

3. 151°

Step-by-step explanation:

Since m and n are parallel, therefore:

m<1 + 75° = 180° (consecutive exterior angles are supplementary)

Subtract 75 from each side

m<1 = 180 - 75

m<1 = 105°

m<2 = 46° (corresponding angles are congruent)

Sum of <1 and <2 = 105° + 46° = 151°

i need help asapppppp

Answers

Answer:

A

Step-by-step explanation:

Supplementary angles are angles that add up to 180 degrees. Essentially, you can make a straight line with them.

1 and 7 are supplementary

1 and 4 are verticle, so no.

2 and 6 are complementary, so no.

3 and 6 are complementary, so no.

The answer Is A I need help for algebra if you know algebra please help me

1/3x+1/2x=40 pls help

Answers

Answer:

3x+1=2x+40

We move all terms to the left:

3x+1-(2x+40)=0

We get rid of parentheses

3x-2x-40+1=0

We add all the numbers together, and all the variables

x-39=0

We move all terms containing x to the left, all other terms to the right

x=39

Step-by-step explanation:

Answer:

x = 48

Step-by-step explanation:

Original equation:

1/3x + 1/2x = 40

Add 1/3x to 1/2x

5/6x

Equation Now:

5/6x = 40

Divide both sides by 5/6

x = 48

Hope this helps :)

Please consider Brainliest :)

help please!! i will mark you brainliest

Answers

Answer:

the equation is (y-3)^2 = 4(x+3)

Find the reciprocal.
b

Answers

Answer:

1/b

Step-by-step explanation:

b=b/1. 1/b would be a reciprical because it switches the numberator and denominator.

The midpoint of AB is M ( 1 , − 3 ). If the coordinates of A A are ( − 6 , − 7 ),what are the coordinates of B?

Answers

Answer:

a= -4

b=1

Step-by-step explanation:

Midpoint=(1,-3)=(x,y)

A=(-6,-7)=(x1,y1)

Let ,the coordinates of B be 'a and b' .

So,

B=(a,b)=(x2,y2)

Using ,midpoint formula,

(x,y)=(x1+x2\2 , y1+y2 \2)

or, (1,-3)=(-6+a\2 , -7+b \2)

Now,

Taking the corresponding sides,

or, 1 =-6+a/2

or, 1*2=6+a

or, 2=6+a

or, 2-6=a

a=-4

Then,

-3= -7+b/2

or, -3*2= -7+b

or, -6 =-7+b

or, -6+7=b

b=1

Answer: (8,1)

Step-by-step explanation:

Santino bought a 3 3/7 Lb bag of chocolate chips. He used 2/3 of the bag while baking. How many pounds did he use while baking answer asap
Since I asked before and no one answered i’m posting it again :)

Answers

Answer:

40

Step-by-step explanation:

Making sure

In a population of 10,000 geese the growth rate is 4% per year. What is the total increase in population over 4 years? Round your answer to the nearest whole number.
And can you explain why please :D

Answers

Answer:

Step-by-step explanation:

10000*4%= 400 Geese year1

10400*4%=416 Geese  year 2

10816*4%= 432.64 Geese year 3

11,248.64*4%= 449.95 Geese. year 4

11248.64+449.95= 11698.59

11698.59-10000=1698.59

Increased by 1699 Geese.

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