1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
snow_lady [41]
3 years ago
7

Austin made 5 quarts of his special from-scratch cupcake mix. He was able to make 32 identical cupcakes using 3.5 quarts of his

special mix. Austin would like to bake 20 more identical cupcakes to ice each cupcake in the likeness of a playing-card. Does he have enough left to create 20 additional cupcakes? Explain.
Mathematics
1 answer:
storchak [24]3 years ago
8 0

9514 1404 393

Answer:

  no

Step-by-step explanation:

We can write a proportion to find how much mix is required to make 52 cupcakes.

  quarts/cupcakes = 3.5/32 = x/52

Multiplying by 52, we find ...

  x = 52(3.5/32) = 5.6875 . . . quarts needed for 52 cupcakes

This is more mix than Austin made. He does not have enough left for 20 more cupcakes.

You might be interested in
Write the slope-intercept form of the line with a slope of 2 and a y-intercept of -4. Include your work in your final answer. Ty
kakasveta [241]
Y=mx+b m=slope b=y intercept
y=2x-4
7 0
3 years ago
Read 2 more answers
Plz help me to answer
AVprozaik [17]

Answer:

for 3, 4 or both?

4. is probably zero

Step-by-step explanation:

Wait is 4 a question?

4 0
3 years ago
Read 2 more answers
Larry is 10 years old and his sister is 7 years old. In how many years time will there total age be 25 years?
maks197457 [2]
In the next 25 years, Larry will be 35 years old, while his sister will be 3 years less than him which is 32 years old for his sister, since his sister is 3 years younger.
7 0
3 years ago
Read 2 more answers
Prince Ivan rides gray wolf and a constant speed from kings castle to the magic apple garden in five hours. on the return trip t
borishaifa [10]

Answer:

The original speed of the grey wolf can be 9 and/or 48 km/hour

Step-by-step explanation:

There are two trips. One to King Castle (KC) to Magic Apple Garden (MAG), and then back (MAG - KC).

First trip: KC - MAG

It takes the same distance as MAG - KC so distance can be D for both.

Then it is stated that it takes 5 hours or 300mins for him to go from KC - MAG, and the speed is constant.

Let x be speed.

So the equation for this is:

D=5x

Second trip: MAG - KC

Here he goes 36 mi at constant speed (x), then picks up his speed by 3 km/hour (x+3).

For Time:

He reaches to KC, 15 mins earlier than KC - MAG, so he reaches there in 4.75 hours or in 275 min.

The problem splits into two as there are two different times, for the two parts of the journey or distance for MAG - KC.

Let T#1 = a, and T#2 = b.

Let D#2 = D-36

The equation for a:

a = 36/x --> This is he is at a constant speed and went for 36mi.

Next:

The equation for b:

b = (x+3)/D#2

These two equation have to be added as (a+b) = 4.75 --> 4.75 is the total time for MAG - KC.

So the equation is:

36/x + (5x-36)/x+3 = 4.75 --> Knowing (a+b) = 4.75, just put 4.75 as the equal, and add the fractions that equal (a) and (b).

Now Solve:

36/x + (5x-36)/x+3 = 4.75

0.25s^2 + 108 + 5s^2 - 36s = 4.75s*(s+3)

0.25s^2 - 14.25s + 108 = 0

(14.25 +- Square root (203.06 - 108))/0.5

(14.25 +- Square root (95.0625))/0.5

(14.25 +- 9.75)/0.5

Answer:

s = 9, s=48.

Therefore the original speed of the grey wolf can be 9 and/or 48 km/hour.

8 0
3 years ago
What is -5/4 divided by 2 3/5
serious [3.7K]
If the question is like this -5/4÷2/3/5 then the answer is -25/52
3 0
3 years ago
Other questions:
  • How is slope calculated from a graph
    10·2 answers
  • death valley has an elevation of -282 feet to relative to sea level.Explain how to use absolute value to describe the elevation
    14·1 answer
  • How long does it take you and students 2 and 3 to clean up a 12 ft. X 12 ft wall covered in graffiti? Besides the answer (be spe
    8·1 answer
  • Help plzzzzz its hard
    6·2 answers
  • PLS HELP I NEED TO FINISH THIS BEFORE TOMORROW
    5·1 answer
  • What is the value of the expression -17 * 1.3 ​
    13·1 answer
  • If the measure of <4 = 105 degrees, what is the measure of <5?
    8·1 answer
  • The compound interest formula is A = P(1 + ) where P is the principal, A is the ending amount, r is the annual interest rate, m
    9·1 answer
  • Three times the sum of twice a number and three is equal to the sum of five times the number and one. Find the number.
    8·2 answers
  • ANSWER THIS CORRECTLY FOR BRAINLIEST (algebra)
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!