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
algol13
3 years ago
13

Oliva is throwing a party, and she wants to invite 25 people. She wants to bake cupcakes for dessert. The recipe has a serving s

ize of 12. This recipe includes 1 ½ cups of all-purpose flour, 1 tsp of baking powder, ½ tsp of salt, 1 stick of unsalted butter room temperature, 1 cup of sugar, 3 large eggs, 1 ½ tsp of pure vanilla extract, and ¾ cup of milk. Can you help Olivia figure out how much for a serving size of 25 and not 12?
Mathematics
1 answer:
Vladimir [108]3 years ago
4 0
She wants 25she divides each by 12 to get for 1 person then multiplies by 25 to get for 25 peoplemulitply each ingredient by 25/12
for multiplying fractions, try to put them in standard a/b form first


flour1 and 1/2 times 25/12=2/2+1/2 times 25/12=3/2 times 25/12=75/24=25/8=24/8+1/8=3+1/8=3 and 1/8 cup flour


baking powder1 times 25/12=25/12=24/12+1/12=2+1/12=2 and 1/12 tsp baking powder

salt1/2 times 25/12=25/24=24/24+1/24=1+1/24=1 and 1/24 tsp salt

butter1 times 25/12=25/12=24/12+1/12=2+1/12=2 and 1/12 stick of butter

sugar
1 times 25/12=25/12=24/12+1/12=2+1/12=2 and 1/12 cup of sugar

eggs3 times 25/12=3/1 times 25/12=75/12=25/4=24/4+1/4=6+1/4=6 and 1/4 eggs


vanilla extract
1 and 1/2 times 25/12=2/2+1/2 times 25/12=3/2 times 25/12=75/24=25/8=24/8+1/8=3+1/8=3 and 1/8 tsp vainlla extract

milk3/4 times 25/12=75/48=25/16=16/16+9/16=1+9/16=1 and 9/16 cup milk




for 25 servings
she needs

3 and 1/8 cup flour
2 and 1/12 tsp baking powder1 and 1/24 tsp salt2 and 1/12 stick of butter2 and 1/12 cup of sugar
6 and 1/4 eggs3 and 1/8 tsp vanilla extract1 and 9/16 cup milk
You might be interested in
Draw the image of the figure after a rotation of 180° around O.
77julia77 [94]

Answer:

is there an image to go with this?

Step-by-step explanation:

3 0
3 years ago
AC is included between
frosja888 [35]

Answer:

the answer is B.angle A and angle B

5 0
3 years ago
A random experiment was conducted where a Person A tossed five coins and recorded the number of ""heads"". Person B rolled two d
cestrela7 [59]

Answer:

(10) Person B

(11) Person B

(12) P(5\ or\ 6) = 60\%

(13) Person B

Step-by-step explanation:

Given

Person A \to 5 coins (records the outcome of Heads)

Person \to Rolls 2 dice (recorded the larger number)

Person A

First, we list out the sample space of roll of 5 coins (It is too long, so I added it as an attachment)

Next, we list out all number of heads in each roll (sorted)

Head = \{5,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,0\}

n(Head) = 32

Person B

First, we list out the sample space of toss of 2 coins (It is too long, so I added it as an attachment)

Next, we list out the highest in each toss (sorted)

Dice = \{2,2,3,3,3,3,4,4,4,4,4,4,5,5,5,5,5,5,5,5,6,6,6,6,6,6,6,6,6,6\}

n(Dice) = 30

Question 10: Who is likely to get number 5

From person A list of outcomes, the proportion of 5 is:

Pr(5) = \frac{n(5)}{n(Head)}

Pr(5) = \frac{1}{32}

Pr(5) = 0.03125

From person B list of outcomes, the proportion of 5 is:

Pr(5) = \frac{n(5)}{n(Dice)}

Pr(5) = \frac{8}{30}

Pr(5) = 0.267

<em>From the above calculations: </em>0.267 > 0.03125<em> Hence, person B is more likely to get 5</em>

Question 11: Person with Higher median

For person A

Median = \frac{n(Head) + 1}{2}th

Median = \frac{32 + 1}{2}th

Median = \frac{33}{2}th

Median = 16.5th

This means that the median is the mean of the 16th and the 17th item

So,

Median = \frac{3+2}{2}

Median = \frac{5}{2}

Median = 2.5

For person B

Median = \frac{n(Dice) + 1}{2}th

Median = \frac{30 + 1}{2}th

Median = \frac{31}{2}th

Median = 15.5th

This means that the median is the mean of the 15th and the 16th item. So,

Median = \frac{5+5}{2}

Median = \frac{10}{2}

Median = 5

<em>Person B has a greater median of 5</em>

Question 12: Probability that B gets 5 or 6

This is calculated as:

P(5\ or\ 6) = \frac{n(5\ or\ 6)}{n(Dice)}

From the sample space of person B, we have:

n(5\ or\ 6) =n(5) + n(6)

n(5\ or\ 6) =8+10

n(5\ or\ 6) = 18

So, we have:

P(5\ or\ 6) = \frac{n(5\ or\ 6)}{n(Dice)}

P(5\ or\ 6) = \frac{18}{30}

P(5\ or\ 6) = 0.60

P(5\ or\ 6) = 60\%

Question 13: Person with higher probability of 3 or more

Person A

n(3\ or\ more) = 16

So:

P(3\ or\ more) = \frac{n(3\ or\ more)}{n(Head)}

P(3\ or\ more) = \frac{16}{32}

P(3\ or\ more) = 0.50

P(3\ or\ more) = 50\%

Person B

n(3\ or\ more) = 28

So:

P(3\ or\ more) = \frac{n(3\ or\ more)}{n(Dice)}

P(3\ or\ more) = \frac{28}{30}

P(3\ or\ more) = 0.933

P(3\ or\ more) = 93.3\%

By comparison:

93.3\% > 50\%

Hence, person B has a higher probability of 3 or more

7 0
2 years ago
PLEASE HELP!! Write the equation of the line below in slope-intercept form. Remember, write any slopes as reduced, improper frac
Anna007 [38]

Answer:

y= -2x + 7

Step-by-step explanation:

first, we know the slope will be negative because the like is going down

lets look at the point that is on the y-axis, this will be our y-intercept

7 is the point hitting the y axis, plug this into the equation

so far we have y=7

now let's find the slope, starting at 7, we go down 2 and over one to get to the next point. let's add this

y= -2x+7

4 0
2 years ago
Read 2 more answers
If hannah uses 300 ounces for 3 people how much will she use for 9 people
e-lub [12.9K]

Answer:

she will use 900 ounces for 9 people

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Other questions:
  • The formula to convert F° to C° is C = 5/9(F-32). Convert 50°C to °F.
    5·2 answers
  • What is 5-2n&gt;8-4n who that answer
    14·1 answer
  • Five hundred tickets were sold for a play the tickets cost $7.50 for adults and $4.00 for children A total of $3,312.50 was rece
    5·1 answer
  • Expand the number 1120 into its corresponding exponential form. 25 · 5 · 7 52 · 8 22 · 53 · 7 2 · 5 · 7
    10·1 answer
  • Which of the following is true of algorithms and heuristics for solving real-life problems?
    9·1 answer
  • Fifty dash two percent of people in a certain country like to cook and 54​% of people in the country like to​ shop, while 28​% e
    11·1 answer
  • Combined like terms:What is -4x + 14 and -9 - 2x combined
    15·1 answer
  • What is the domain of the function y= sqaure root of x ? HELP PLEASEIM TIMED
    9·1 answer
  • Drummer and a guitarist each wrote songs for their band. The guitarist wrote 8 fewer than
    13·1 answer
  • A rectangular courtyard has a length of 24 m and a width of 15 m. Find the perimeter of the rectangle defined by this courtyard.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!