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
Olenka [21]
3 years ago
6

Lauren is making muffins. Her muffin recipe calls for 3 1 −4 cups of flour. She has 10 1 −2 cups of flour. A. Explain a method f

or determining the number of batches of the muffin recipe Lauren can make. Then use your method to find the number of batches she can make. B. If Lauren plans to make 5 batches of the muffin recipe, use what you know about operating with rational numbers to predict the amount of flour she needs. Justify your prediction.
Mathematics
1 answer:
Soloha48 [4]3 years ago
6 0

Answer:

A. 3.2307692308 batches of Muffins

B. 16 1/4 cups of flour

Step-by-step explanation:

Lauren is making muffins. Her muffin recipe calls for 3 1 −4 cups of flour. She has 10 1 −2 cups of flour.

A. Explain a method for determining the number of batches of the muffin recipe Lauren can make. Then use your method to find the number of batches she can make.

Her muffin recipe calls for 3 1 −4 cups of flour. She has 10 1 −2 cups of flour.

3 1/4 cups of flour = 1 batch of Muffin recipe

10 1/2 cups of flour = x

3 1/4 × x = 10 1/2 × 1

x = 10 1/2 ÷ 3 1/4

x = 21/2 ÷ 13/4

x = 21/2 × 4/13

x = 42/13

x = 3.2307692308 batches of Muffins

B. If Lauren plans to make 5 batches of the muffin recipe, use what you know about operating with rational numbers to predict the amount of flour she needs. Justify your prediction.

3 1/4 cups of flour = 1 batch of Muffin recipe

Hence,

1 batch = 3 1/4 cups of flour

5 batches = x

Cross Multiply

x = 5 × 3 1/4 cups of flour

x = 5 × 13/4

x = 65/4

x = 16 1/4 cups of flour

You might be interested in
Please help!<br> thankjs
olga_2 [115]

Answer:

20th: 100 nth: 5

Step-by-step explanation:

the table is multiplying by 5

so 5 × 20 = 100

8 0
3 years ago
How do i do 3 part a ?
WINSTONCH [101]


In general the binomial expansion is


(a+b)^n = {n \choose 0} a^0 b^n + {n \choose 1} a^1 b^{n-1} + {n \choose 2} a^2 b^{n-2} + ... + {n \choose n} a^n b^0


So in our case, because we want ascending powers of x we'll write,


(-3x + 1)^{11} =  {11 \choose 0} (-3x)^0 1^{11} + {11 \choose 1} (-3x)^{1} 1^{10} + {11 \choose 2} (-3x)^{2} 1^9  + {11 \choose 3 } (-3x)^3 1^8 + ...


We need to calculate the binomial coefficients:


{11 \choose 0}  = 1


{11 \choose 1}  = 11


{11 \choose 2}  = \dfrac{11 \times 10}{2} = 55


{11 \choose 3}  = \dfrac{11 \times 10 \times 9}{3 \times 2} = 165


(-3x+1)^{11} =  1 (-3x)^0 1^{11}  + 11(-3x)^{1} 1^{10}  + 55 (-3x)^2 1^{9}  + 165 (-3x)^3 1^8 + ...


(1-3x)^{11} =  1 -33 x + 495 3x^2 - 4455 x^3+ ...



6 0
3 years ago
Please help I’ll mark you as brainliest if correct!
Alex73 [517]
6ft and 3 inches is 190.5cm
6 0
2 years ago
One division of a large defense contractor manufactures telecommunication equipment for the military. This division reports that
Zielflug [23.3K]

Answer:

At the 95% confidence level, management should not conclude that the percentage of rework for electrical components is lower than the rate of 12% for non-electrical components, since the upper bound of the confidene interval, which is 0.1339, is higher than 0.12.

Step-by-step explanation:

To reach a conclusion, we have to observe the confidence interval.

Should management conclude that the percentage of rework for electrical components is lower than the rate of 12% for non-electrical components?

Is the upper bound of the confidence interval lower than 12% = 0.12?

If yes, it should conclude that this percentage is lower.

Otherwise, it cannot conclude.

Confidence interval:

0.0758 to 0.1339

0.1339 is higher than 0.12.

So.

At the 95% confidence level, management should not conclude that the percentage of rework for electrical components is lower than the rate of 12% for non-electrical components, since the upper bound of the confidene interval, which is 0.1339, is higher than 0.12.

6 0
3 years ago
Read 2 more answers
Find the tangents of the acute angles in the right triangle. Write each answer as a fraction. WILL MAKE BRAINLIEST!!
patriot [66]

Answers:

  • tan(G) = 2
  • tan(H) = 1/2

=======================================

Explanation:

Recall that tangent is the ratio of opposite over adjacent

tan(angle) = opposite/adjacent

So for reference angle G, we say,

tan(G) = JH/GJ = 2/1 = 2

We'll treat tan(H) in a similar fashion, but the opposite and adjacent sides swap roles. That means we'll apply the reciprocal to the result above to get 1/2 for tan(H)

-----------

So we have this interesting property where

tan(G)*tan(H) = 2*(1/2) = 1

In general,

tan(A)*tan(B) = 1 if and only if A+B = 90 degrees

-----------

Side note: The side sqrt(5) isn't used at all.

8 0
2 years ago
Other questions:
  • Which situation shows a constant rate of change? A. The number of play tickets sold compared with the number of minutes before t
    5·1 answer
  • Isabelle has $84.00 in her account
    6·1 answer
  • On a 120-question test, a student got 84 correct answers. What percent of the problems did the student work correctly
    13·1 answer
  • What fraction is equivilent to 0.997
    12·1 answer
  • What is the standard form of nine and fifteen hundredths
    13·1 answer
  • Please help! (Photo attached) solve the missing elements for each problem. Use 3.14 for pi (doing steps backwards )
    15·1 answer
  • Which is equivalent to 3log28 + 4log212 − log32?
    13·1 answer
  • Answer ASAP for brainliest
    12·2 answers
  • Solve the inequality.<br> 2(4+2x)25x+5<br> o x&lt;-2<br> O x&gt;-2<br> O x&lt;3<br> O X&gt;3
    10·1 answer
  • Please help I give Brainllest, stars, and hearts!
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!