at edgars bakery one customer buys 4 donuts and 10 muffins for $32. Another customer buys 12 donuts and 5 muffins and pays $21.

x=price of donut
y=price of muffin

1. Write an equation to represent the first customer

2.write an equation to represent the 2nd customer

3.solve system of equations

Answers

Answer 1

Based on the information given, the price of donut will be 1.5 and the price of muffin is 3.8.

The equation to represent the first customer is 4x + 10y = 32

The equation to represent the 2nd customer is 12x + 5y = 21

Solving the equations will be:

4x + 10y = 32 ...... i

12x + 5y = 21 ......ii

Multiply equation i by 12

Multiply equation ii by 4

48x + 120y = 384

48x + 20y = 84

100y = 380

y = 380/100 = 3.8

Therefore, we'll find the value for x which will be:

4x + 10y = 32

4x + 10(3.8) = 32

4x = 32 - 38

4x = -6

x = -1.5

Therefore, the price of donuts will be 1.5 and the price of muffin is 3.8.

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Related Questions

24+3m>6

Plot this on a number line and show steps please

Answers

[tex]\\ \tt\rightarrowtail 24+3m>6[/tex]

[tex]\\ \tt\rightarrowtail 3m>6-24[/tex]

[tex]\\ \tt\rightarrowtail 3m>-18[/tex]

[tex]\\ \tt\rightarrowtail m>-6[/tex]

Refer to attachment

need help now please i will give 25 points

Answers

Answer:

Answer is letter B

if im wrong i'm sorry that my opinion

Answer:

B) y = -x + 2

Step-by-step explanation:

First, we pick 2 points that are on the line:

(0, 2) and (1, 1)

Next, we find the slope (m):

m = (y2 - y1)/(x2 - x1)

m = (1 - 2)/(1 - 0)

m = (-1)/1

m = -1

Then, we do point-slope formula to create the equation:

y - y1 = m(x - x1)

y - 2 = -1(x - 0)

y - 2 = -x

y = -x + 2

Max has 345 fiction books and 179 nonfiction books. He wants to give 205 books
to his local library for a donation. How many books does Max have left after
making his donation?

Answers

Answer:

319 books

Step-by-step explanation:

345+179=524

524-205 = 319

a
In a math class with 25 students, a test was given the same day
that an assignment was due. There were 15 students who passed
the test and 20 students who completed the assignment. There
were 13 students who passed the test and also completed the
assignment. What is the probability that a student passed the test
given that they did not complete the homework?
a

Answers

Using it's concept, it is found that there is a 0.4 = 40% probability that a student passed the test given that they did not complete the homework.

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, of the 25 - 20 = 5 students that did not complete the homework, 15 - 13 = 2 passed the test, hence the probability is given by:

p = 2/5 = 0.4 = 40%.

0.4 = 40% probability that a student passed the test given that they did not complete the homework.

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find an equation for the line below

Answers

Answer:

y = 1/3 x + 14/3

Step-by-step explanation:

We can identify the two points shown easily.

They are (-2, 4) and (4, 6).

First, we find the line of the slope of the line that contains those two points.

slope = m = (y2 - y1)/(x2 - x1) = (6 - 4)/[4 - (-2)] = 2/6 = 1/3

Now we use one point and the slope to find the y-intercept.

y = mx + b

Let's use point (4, 6) and the slope, 1/3.

6 = (1/3)(4) + b

18/3 = 4/3 + b

b = 18/3 - 4/3

b = 14/3

The equation is

y = mx + b

y = 1/3 x + 14/3

A Penguin walks 6 feet in 15 seconds. At this speed How far does the penguin walk in 6 seconds?​

Answers

Answer:

The penguin will walk 75.15 feet in 45 sec

Step-by-step explanation:

HELPPPPPP PLEASEEEEEEE

Answers

Answer:

It has been a long time since I was even thinking about this, but I got 33 for the first one and I know how you feel, stay strong, you have a long time until you are finished

Step-by-step explanation:

(this might and probobly is wrong)

a student required to 40% marks to pass in exam he got 190 marks and fail with 10 marks. find total marks?

Answers

Answer:

500

Step-by-step explanation:

40%=190+10

40%=200

10%=50

100%=500

show how the work is done and help and have to be fast with math

Answers

Answer:

Answer is 14

Step-by-step explanation:

By understanding the concept of math

Answer: you mom

Step-by-step explanation:

-3/5 > -4/5 in a number line

Answers

Answer:correct

Step-by-step explanation: >

WARM UP ACTIVITY (5 MIN) Ms. Chantel's car can go 228 miles on 6 gallons of gas. During a drive last week Ms. Chantel used 7 gallons of gas. a.) How far did she drive? b).Explain how the problem changes if you were given the distance Ms. Chantel drove last week instead of how much gas she used.

How does the problem change????​

Answers

Answer:

a. 266

b. if you were given the distance you can just do, the distance divided by 38

Step-by-step explanation:

A. 228/6=38

228+38=266

What is the length of side YZ to the nearest tenth please show your work!

Answers

Length of side YZ to the nearest tenth is 16 ft

To solve this question we would use the sine rule. The sine rule states that

A/sin a = B/sin b

if we take our angle a to be XZY, and b to be ZXY.

Going by angles in a triangle, ZXY = 180 - 90 - 35 = 55. This means that our angle b is 55º

applying the sine rule, we have

11/sin 35 = B/sin 55

11/0.5736 = B/0.8192, if we cross multiply, we have

B = (11 * 0.8192)/0.5736

B = 9.0112/0.5736

B = 15.7 ft

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Answer:

15.7

Step-by-step explanation:


Can someone answer this for me

Answers

Answer:

s=4

Step-by-step explanation:

area of square is side*side

so that means s*s=16

so s = 4

Round to the nearest the sum of 39 and 125​

Answers

Answer:

160

Step-by-step explanation:

39 + 125 = 164

164 rounds to 160

Answer:

160

Step-by-step explanation:

39+125​=164

164 rounded=160

Hope this helps :)

A special cereal mixture contains rice and wheat in the ratio of 2:3. If a bag of the mixture contains 3 pounds of rice, how much wheat does it contain?

Answers

9514 1404 393

Answer:

  4.5 lb

Step-by-step explanation:

The ingredients are proportional so ...

  wheat/rice = 3/2 = ??/3 lb

Multiplying by 3 lb gives ...

  ?? = (3 lb)(3/2) = 9/2 lb = 4.5 lb

The mixture contains 4.5 lb of wheat.

_____

Additional comment

Writing the proportion with the unknown in the numerator makes it possible to find the solution in one step (multiply by the denominator). Any proportion can be written 4 different ways, so you can always choose one that makes the solution easy. (upside down and sideways)

  a/b = c/d   ⇔   b/a = d/c   ⇔   a/c = b/d   ⇔   c/a = d/b

Which inequality is true when the value of R is 18? I'ma shower the answers i can choose in the picture ​

Answers

Answer:

See below:

Step-by-step explanation:

Hello! We can check to see if the inequality is true by replacing r with 18 as we have been told to find them in which 18 as r makes the equation true.

So our equations to test for are:

[tex]-r-3>-6\\-r+3<6\\r+3<6\\-r+3>6[/tex]

We can input 18 as r and then we see the following are correct:

1. No, as a -21 is not greater than -6

2. Yes, as -15 is less than 6.

3. No, as 21 is not greater than 6

4. No, as -15 is not greater than 6.

Cheers!

The graph of f(x) = x² is transformed to create the graph of g(x) = f(x + 6). Which
statement is true?
A The graph of g(x) reflects the graph of f(x) across the x-axis.
B The graph of g(x) reflects the graph of f(x) across the y-axis.
CThe vertex of the graph of g(x) is 6 units to the left of the vertex of the graph of f(x).
DThe y-intercept of the graph of g(x) is 6 units above the y-intercept of the graph of f(x).

Answers

Answer:

Given a function \displaystyle f\left(x\right)f(x), a new function \displaystyle g\left(x\right)=-f\left(x\right)g(x)=−f(x) is a vertical reflection of the function \displaystyle f\left(x\right)f(x), sometimes called a reflection about (or over, or through) the x-axis.

Given a function \displaystyle f\left(x\right)f(x), a new function \displaystyle g\left(x\right)=f\left(-x\right)g(x)=f(−x) is a horizontal reflection of the function \displaystyle f\left(x\right)f(x), sometimes called a reflection about the y-axis.

Step-by-step explanation:

Two trains leave towns 474 kilometers apart at the same time and travel toward each other. One train travels13 km/m faster than the other. If they meet in 2 hours, what is the rate of each train?

Answers

Answer:

112 km/h

125 km/hr

Step-by-step explanation:

Distance = time * speed

Distance  = distance train 1 + distance train 2

474 = 2(s) + 2(s + 13)

Distribute

474 = 2s + 2s + 26

Combine like terms

474 = 4s + 26

Subtract 26 from both sides

448 = 4s

Divide both sides by 4

112 = s

s = 112 km/h

s + 13 = 125 km/hr

answer this question fast

Answers

Answer:

corona virus sjuwiwiwoe

Step-by-step explanation:

iaisowowow

Round off the decimal 55.345 to 2 decimal places.​

Answers

Answer:

Step-by-step explanation:

55.345 is rounded off two places therefore, the hundreths place

the number next to 4 is 5 in the thousandths place. 5 is high and therefore 4 is changed to 5 and makes it 53.35

Che sum of two numbers is 2. If one number is subtracted from the other, their difference is - 8. Find the numbeRs

Answers

I wanna say 10 or ether -10 since if it was subtracted from 2 then it would equal -8

Answer:

1st number (x) = -3, 2nd number (y) = 5

Step-by-step explanation:

x + y = 2, y = 2 - x

x - y = -8, y = x + 8

By substituting y = 2 - x in the other equation:

(2 - x) = x + 8

2 - 8 = x + x

-6 = 2x

x = -3

Now plug x = -3 into either equation:

y = 2 - x

y = 2 - (-3) = 5

So the numbers are -3, 5

Write the following sentence as an equation. Use x to represent "a number."
The product of 2 and the sum of
6 and a number is -40.
The equation is a
(Do not simplify.)

Answers

Answer:

Step-by-step explanation:

5×(-2+x)=-20

-10+5x=-20

5x=-20+10

5x=-10

x=-10/5

x=-2

With a coupon, you can get a pair of shoes that normally costs $84 for only $71.40. What
percentage was the discount?

Answers

Answer:

85%

Step-by-step explanation:

71.40/84=0.85. multiply the decimal by 100 to get the percentage

-
What are the odds of winning a game, if the probability of winning the game is 4/10

Answers

Answer:

40%

Step-by-step explanation:

4/10 = 40/100

40/100 as a percentage is 40%

Trish has 7 cans of dog food for 3 days. She will feed each dog 2 1/3 cans of food each days. If she wants to feed them 3 cans each day how many more cans of food will she need

Answers

Answer:

2 more cans

Step-by-step explanation:

2 1/3 x 3 = 7 cans (this the amount of cans of dog food she has)

3 x 3 = 9

the 3 represents how she wants to feed 3 cans of dog food each day for 3 days; the other 3 represents 3 days

9 - 7 = 2

A rectangular field is 350 meters long and 200 meters wide. What is the area of the field in square kilometers? Do not round your answer. Be sure to include
the correct unit in your answer.
0
km
km2
km

Answers

The area of the rectangular field is 0.07 square kilometers (km²).To find the area of the rectangular field in square kilometers, we need to convert the given dimensions from meters to kilometers.

To find the area of the rectangular field in square kilometers, we need to convert the given dimensions from meters to kilometers and then calculate the area.

Given:

Length of the field = 350 meters

Width of the field = 200 meters

To convert from meters to kilometers, we divide the measurements by 1000, since there are 1000 meters in a kilometer.

Length in kilometers = 350 meters / 1000 = 0.35 kilometers

Width in kilometers = 200 meters / 1000 = 0.2 kilometers

Now that we have the dimensions of the field in kilometers, we can calculate the area.

Area of the field = Length in kilometers * Width in kilometers

Area of the field = 0.35 kilometers * 0.2 kilometers

Multiplying the values, we get:

Area of the field = 0.07 square kilometers

Therefore, the area of the rectangular field is 0.07 square kilometers.

It's important to include the correct unit in the answer, which is "square kilometers" (km²). This represents the unit for measuring the two-dimensional area. In this case, the area of the field is 0.07 km².

For more such questions on area

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(8 points) will mark brainliest!! pls help:)

Answers

Answer:

7/10

Step-by-step explanation:

Have a nice day

Answer:

2.1

hope this helped

Select the best description for the slope of Line a.

Positive Slope

Negative Slope

Zero Slope

Undefined Slope

Answers

Zero slope because it is not rising or going down

Graph the equation y= -1/2x. Please help

Answers

Answer:

put one point b the negative -1 and another point by the 2 going long ways ------

Step-by-step explanation:

The table shows the relationship between the number of cups of cereal in the number of cups of raisins in a cereal bar recipe jake potter and equivalent ratio on the coordinate grid below which of these explains why the point jake plotted is incorrect

Answers

Answer:

c i think

Step-by-step explanation:

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