A baker has small and large bags of sugar for making cakes. The large bag contains 30 cups cups of sugar and is 2.5 times larger than the small bag. The small bag contains enough sugar to make 9 cakes and have 0.75 cups of sugar remaining. How many cakes can be made with a large bag of sugar?

Answers

Answer 1

Answer:

Step-by-step explanation:

The first thing we need to focus on is the fact the large bag (30 cups) is 2.5 larger than the small bag. So, the first we need to do is divided 30 by 2.5, which is 12. (300/25 = 30/2.5 = 12, in case you're confused.) So the small bag has 12 cups of sugar.

What that down, we need to focus how many cakes the small bag can make, which was 9. 3/4 of a cup is left over. We can create an equation from that info, that being 9x + 0.75 = 12. Now let's solve for x.

9x + 0.75 = 12

First, subtract 0.75 from both sides. With that, we can solve for x directly.

9x = 12 - 0.75

9x = 11.25

Now, divide both sides by 9.

x = 11.25/9

x = 1.25

With that, we now know that each cake needs 1.25 cups of sugar.

With that, the last thing we need to is divide 30 by 1.25. Again, I can use powers of ten, to quickly divide 3000 by 125 (10²) to get 24 cakes.

With that done, we have our answer. 24 cakes can be made with a large bag of sugar.

I hope this helps!  (⌒ω⌒)


Related Questions

HELP ME PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE

Answers

Answer:

C.

Step-by-step explanation:

The median is the line in the middle of the box plot.

C is the answer because 75 is the largest median out of all the choices.

In the summer time your friend wants to have a snow cone stand at a local grocery store parking lot. You want to make sure he actually makes money. The grocery store charges $300 per month. All products are calculated to be 25 cents per customer. Your plans are to sell each cone for $1.25.

a. Write a mathematical expression representing the cost of operation for a month.
b. Write a mathematical expression representing sales.
c. Create an equation that will represent overall profit of the operation for a month.
d. Simplify the equation into slope intercept form and standard form. What is the slope and explain its meaning in the context of selling snow cones? What is the intercept and what is its meaning?
e. Describe the method of graphing the slope intercept form and also the standard form of the equation.
f. What is the domain and range of the equation? Is the relation a function, why?
g. How many snow cones do you need to sell to break even in the first month?
h. How much is the profit if you sell 425, 550 or 700 snow cones in the first month of business?

Answers

Answer:

31.25 is the answer at your question

2(x+50)=16+4x
What is x?

Answers

2x +100=16+4x
-2x. -2x
100=16+2x
-16. -16
84=2x
divide both sides
x=42

Answer:

x=42

Step-by-step explanation:

Write the equation.

2(x+50)=16+4x

Spread the parentheses

2x+100=16+4x

Put variables on one side, numbers on the other.

2x-4x=16-100

Add/subtract/multiply/divide the variables with variables and numbers with numbers.

-2x=-84

Make x alone

-x=-42

Flip sides to make x positive

42=x

If p(x) = (2x – 7)(7x + 2), what are the zeros of the polynomial?

Answers

Answer:

x=7/2 and x=-2/7

Step-by-step explanation:

By the Zero Product Property, we will set both expressions equal to 0 and solve:

p(x) = (2x-7)(7x+2)

0 = (2x-7)(7x+2)

2x-7=0 and 7x+2=0

2x=7 and 7x=-2

x=7/2 and x=-2/7

The factors of the polynomial are (2x – 7) and (7x + 2). Then the zeroes will be 7/2 and negative 2/7.

What is a factorization?

It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.

The polynomial is given below.

p(x) = (2x – 7)(7x + 2)

Then the zeroes of the polynomial will be

The factor of the polynomial is already given. Then the zeroes will be

x = 7/2, -2/7

More about the factorization link is given below.

https://brainly.com/question/6810544

#SPJ2


22, 17. 12, 7... O Arithmetic
O Geometric
O Neither

Answers

It would be Arithmetic.

Arithmetic means that the numbers are increased or decreased by the same number each time. This does not include multiplication.

And since all of these are subtracted by 5, it would be Arithmetic.

-12 + ( ) = 9 whats the missing number

Answers

Answer:

The missing number is 21

Step-by-step explanation:

-12 + x = 9

x = 9 + 12

x = 21

Answer:

21

Step-by-step explanation:

let X = ( )

-12 + X = 9

X = 9 + 12

X = 21

Work out the answer when,
'the largest prime number that is a factor of 35'
is multiplied by
'the smallest prime number that is a factor of 12'.
[2]

Answers

Answer:14

Step-by-step explanation:

The largest Prime factor of 35 is 7 (factors of 35 are 1,5,7,35)

the smallest prime factor of 12 is 2 (factors of 12 are 1,2,3,4,6,12)- and 1 is not Prime

7*2=14

Identify the percent of increase from 25 to 65. (To the nearest tenth of a percent)

Answers

Answer:

160%

Step-by-step explanation:

(65 - 25 )/25  x 100% = 160%

what is the radius of 34.54​

Answers

Answer:

If 34.54 is the diameter then 17.27 is the radius

Step-by-step explanation:

34.54 ÷ 2 = 17.27

Please only answer if you're 100% sure it's correct. Thank you. (It's pretty easy.)

Answers

2x-7 and 2+7 are the answers

pls help me on this !!!

Answers

Abcdefghijklmnopqrstuvwxyz

Answer:

50

Step-by-step explanation:

22 + 18 = 40

90 - 40 = 50

no way you can round it

The coordinate grid shows the plot of four equations.
Which set of equations has (-1, 5) as its solution? (4 points)
1) A and B
2) B an d 3) A and C 4) B and C

Answers

Answer:

Your answer would be A and B

Step-by-step explanation:

Simply look for the coordinates on the graph and look for the name of the lines that intersect there.

A helicopter is 2,500 feet above sea level. A pirate ship sunk with buried
treasure off the coast of Florida 125 years ago. It's depth is 3,000 feet
below the helicopter. How many feet below sea level is the pirate ship?

Answers

Answer:

500 feet below sea level

Step-by-step explanation:

You would take 2,500 and subtract 3,000 feet giving you an answer of -500 feet. Which means it is 500 feet below sea level

The lines shown below are parallel. If the green line has a slope of-4, what is
the slope of the red line?
10
A.
B. 4
- 10
-5
5
10
C. -4
O
-5
D.
4
10 -

Answers

I’m pretty sure it’s D

Th slope of red lines is -4

What is parallel lines?

Parallel lines in geometry are coplanar, straight lines that don't cross at any point. In the same three-dimensional space, parallel planes are any planes that never cross. Curves with a predetermined minimum distance between them and no contact or intersection are said to be parallel.

The property of parallel lines states that slope of both lines will b same.

Therefore slope of red lines is -4

To know more about  parallel lines refer to:

https://brainly.com/question/5020723

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Find the midpoint of the segment with the following endpoints (7-6) and (4-10)

Answers

Answer:

(5.5,2)

Step-by-step explanation:

Find the midpoint of the segment with the following endpoints (7-6) and (4-10)

The formula for calculating the x and y coordinate is expressed as

X = x1+x2/2

X = 7+4/2

X = 11/2

X = 5.5

Y = y1+y2/2

Y = -6+10/2

Y = 4/2

Y = 2

Hence the required midpoint is at (5.5,2)

Answer:

(5.5, -8)

Step-by-step explanation:

Edg 2021

If f(x) = (x – 2, then find f(-3).​

Answers

if f(x) = x - 2, then f(-3) = -5

6=24(x+1)^2 what is the answer simplified

Answers

Answer:

hi can i fu k u

Step-by-step explanation:

The answer is:

-0.5, -1.5

Pls help I'm sleep deprived rn and am almost done with this

Answers

Answer:

6π units

Step-by-step explanation:

Given::

Radius = 4

Angle measure of partial circle (θ) = 360° - right angle = 360° - 90° = 270°

Arc length = θ/360 × 2πr

Plug in the values

= 270/360 × 2 × π × 4

= 0.75 × 8 × π

= 6π units

Ryan just got hired for a new job and will make $48,000 in his first year. Ryan was
told that he can expect to get raises of $3,500 every year going forward. How much
money in salary would Ryan make in his 24th year working at this job?

Answers

Answer:

$128,500

Step-by-step explanation:

Find out how much he will earn from his 1st year to 24th.

1st year = 48000

2nd year = 48000 + 3500 = 51500

3rd year = 51500 + 3500 = 55000

4th year = 55000 + 3500 = 58500

5th year = 58500 + 3500 = 62000

6th year = 62000 + 3500 = 65500

7th year = 65500 + 3500 = 69000

8th year = 69000 + 3500 = 72500

9th year = 72500 + 3500 = 76000

10th year = 76000 + 3500 = 79500

11th year = 79500 + 3500 = 83000

12th year = 83000 + 3500 = 86500

13th year = 86500 + 3500 = 90000

14th year = 90000 + 3500 = 93500

15th year = 93500 + 3500 = 97000

16th year = 97000 + 3500 = 100500

17th year = 100500 + 3500 = 104000

18th year = 104000 + 3500 = 107500

19th year = 107500 + 3500 = 111000

20th year = 111000 + 3500 = 114500

21st year = 114500 + 3500 = 118000

22nd year = 118000 + 3500 = 121500

23rd year = 121500 + 3500 = 125000

24th year = 125000 + 3500 = 128500

Paul, Brendan, and Charlie are chopping wood. It would take Paul 10 hours to chop up one cord of firewood. It would take Brendan 12 hours to chop one cord, and it would take Charlie 15 hours to do the same job by himself. How long will it take the three of them working together?

It will take blank hours for the three boys to chop up one cord of firewood.

The solution is

Answers

Answer: It will take the 4 hours

Is urgent If a line passes through the points (2, 7) and (7,9), its slope is
necessary, use the slash (/) to indicate a fraction.
If

Answers

Answer and working out attached. Hope this helps

Examine the following diagram
BI
75 32
3
26592
3
D
75 32"
2859
E
© 2019 StrongMind Created using GeoGebra
If AABC 4AADE, what is the length of AE?
07
04
6
03

Answers

9514 1404 393

Answer:

  (a)  7

Step-by-step explanation:

The congruence statement tells you that AC ≅ AE. AC is marked as 7, so ...

  AE = 7

_____

Additional comment

If you solve the triangle using the Law of Sines, you find that AC = AE = 6.484, not 7.

What is the value of K?

Answers

The value of K is 10

The blue whale, the fastest marine mammal, can travel 60 miles in 2 hours. The fastest fish, the sailfish, can travel 136 miles in 2 hours. How much faster is the sailfish than the blue whale?
A. 76 mph faster
B. 58 mph faster
C. 38 mph faster
D. 26 mph faster

Answers

Answer:

c 38

Step-by-step explanation:

i got it right on the quiz

Answer:

C

Step-by-step explanation:

A recipe requires 1/3 cup of milk for each 1/4 cup of water. How many cups of water are needed for each cup of milk?

Answers

3/4 cups of water is needed for one cup of milk

Find the measure of arc HJ.

Answers

Answer:

98 degrees

Step-by-step explanation:

HJ = (5x - 7)

Because it's a full circle:

61 + 34 + (5x - 7) + (9x - 22) = 360

95 + (14x - 29) = 360

14x = 360 - 95 + 29 = 294

x = 21

HJ = 5x - 7 = 5 * 21 - 7 = 105 - 7 = 98

Question 7 (2 points)
Given the function rule y = 3x + 11, what is the value of x if y = 57
Hint: Make sure you are substituting for the correct variable!

Answers

Step-by-step explanation:

3x+11=57

subtract 11 from both sides and you will get this

3x=46

Divide by 3

42/3. 3/3

X=14

Answer:

15.333

Step-by-step explanation:

3x+11=57(y)

reverse the question

so:

57-11=46

46 divided by 3=15.333

so x=15.333

hope that helps

thank you

19NBoli

please show an actual answer i need help

Answers

Answer:

1. wire is approx. 143.96 ft

2. pole is approx. 106.55 ft

Step-by-step explanation:

Mapping the information on the SOHCAHTOA picture below:

Φ = 46

wire = hypotenuse

adjacent side = 100

CAH is most suitable:

cos 46° = 100/wire => wire = 100/cos 46 ≈ 143.96

pole = opposite side + 3

TOA is most suitable:

tan 46° = (pole-3)/100 => pole = 3 + 100 * tan 46 ≈ 106.55

please help marking brainliest if it's correct and explain​

Answers

Answer:

mean means average so I think i should have first add all the numbers then divide by the number of the numbers I think that's the method if you don't see it correct then it's alright but I believe it's correct.

PLEASE HELP ME WITH THOSE TWO QUESTIONS
1) How many radians are in a quarter of a circle?

2) How many degrees are in 11π over 6?

Answers

Answer:

1) about 1.57 radians

2) I'm not sure about this one sorry

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