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
Vaselesa [24]
3 years ago
7

You need 3 1/2 cups of flour for each batch of cupcakes. How many whole batches can make if you have 17 cups of flour? Show two

ways.
Mathematics
1 answer:
rosijanka [135]3 years ago
3 0

<u>ANSWER:</u>

4 batches of cupcakes can be made.

<u>SOLUTION: </u>

Given, we need 3\frac{1}{2} cups of flour for each batch of cupcakes. And we have 17 cups of flour.

We need to find how many batches can be made.

1st way:

We will get the number of batches when we divide the available cups with cups required for one batch.

Available cups = 17 and required cups for one batch = 3\frac{1}{2} = \frac{7}{2} cups

number of batches = $\frac{17}{\frac{7}{2}}$

$=\frac{17}{1} \times \frac{2}{7}$

$=\frac{34}{7}$ = 4.857

As the number of batches can’t be fraction, we will neglect the fractional part.

2nd way:

Let the number of batches be x.

Then, cups of flour required for batches must be less than available flour

(x)(\frac{7}{2}) < 17

(x)(7) < (2)(17)

7x < 34

x < \frac{34}{7}

x < 4.857

As the number of batches must be an whole number, x becomes 4.

Hence, 4 batches of cupcakes can be made.

You might be interested in
Which is more, 1 yard or 64 inches?
Marina86 [1]

Answer:

64 inches

Step-by-step explanation:

12 x 3ft (1yard)=36in

5 0
3 years ago
A tennis team has won 15 out of 20 matches they played this season. How many additional matches must the team win in a row to ra
LuckyWell [14K]
You need to win 30 matches in a row to raise its winning percentage to 90%
7 0
3 years ago
The commission for selling a house is$11825, which is 5.5% of the selling price. What is the selling price of the house?
Rzqust [24]
In this case, the best method starts with finding one percent of the selling price.  To do this, divide the commission ($11825) by 5.5.  This gets you 1%, which is $2150.  Next, multiply this number by 100, turning 1% into 100%.  Your final answer is $215,000.
8 0
3 years ago
Find the value of k so that 48x-ky=11 and (k+2)x+16y=-19 are perpendicular lines.
Rufina [12.5K]

Answer: k = -1 +/- √769

<u>Step-by-step explanation:</u>

48x - ky = 11

<u>-48x        </u>  <u> -48x</u>

         -ky = -48x + 11

         \frac{-ky}{-k} = \frac{-48x}{-k} + \frac{11}{-k}    

           y =\frac{48x}{k} - \frac{11}{k}

Slope: \frac{48}{k}

*************************************************************************

 (k + 2)x + 16y = -19

<u>- (k + 2)x          </u>   -<u>(k + 2)x </u>

                 16y = -(k + 2)x - 19

                  \frac{16y}{16} = -\frac{(k + 2)x}{16} - \frac{19}{16}

                  y = -\frac{(k + 2)x}{16} - \frac{19}{16}

Slope: -\frac{(k + 2)}{16}

**********************************************************************************

\frac{48}{k} and -\frac{(k + 2)}{16} are perpendicular so they have opposite signs and are reciprocals of each other.  When multiplied by its reciprocal, their product equals -1.

-\frac{(k + 2)}{16} *  \frac{k}{48} = -1

\frac{(k + 2)k}{16(48)} = 1

Cross multiply, then solve for the variable.

(k + 2)(k) = 16(48)

k² + 2k - 768 = 0

Use quadratic formula to solve:

k = -1 +/- √769



5 0
3 years ago
Dominic is designing a new board game, and is trying to figure out all the possible outcomes. How many different possible outcom
oksian1 [2.3K]

Answer:

If he spins a spinner with 5 equal sections they have equally likely probability of 20%

If he rolls a fair die in the shape of pyramid with 4 sides each side has probability of 25%

If he rolls a fair die in the shape of cube with 6 sides each side has probability of 16.7

Total number of outcomes = 5 * 6 * 4 = 120

7 0
2 years ago
Other questions:
  • Use the proportion to convert milligrams to grams.
    15·2 answers
  • How do I answer this
    15·1 answer
  • A room is 96 ft long, 18 ft wide, and 27 ft high.
    5·1 answer
  • Here are some questions I'm confused about
    10·2 answers
  • A stainless steel patio heater is a square pyramid. The length of one side of the base is 23.6. in. The slant height of the pyra
    13·1 answer
  • Given: F(x) = x +3 ; G(x) = 2x^2 -4 Find (f*g)(x)<br><br>I seriously need help with this
    15·2 answers
  • Can someone help me pls
    9·2 answers
  • Look at photo for the question
    12·2 answers
  • Solve the inequality. Graph the solution. Describe the graph in the area provided. Be sure to indicate where there is an open or
    10·1 answer
  • PLEASE HELP ASAP, WILL GIVE BRAINLIEST TO WHOEVER ANSWERS FIRST!!!
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!