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rjkz [21]
3 years ago
5

A pancake recipe require 1 2/3 cups of flour to make 20 pancakes and you have 9 cups of flour.

Mathematics
1 answer:
Leokris [45]3 years ago
3 0
<h2>Solution (a) :-</h2>

Quantity of flour needed to make 20 pancakes =

= 1 \frac{2}{3}  \:

=  \frac{3  \times 1 + 2}{3}

=  \frac{5}{3}  \: cups \: of \: flour

Then , number of pancakes that can be made from 1 cup of floor :-

20 \div  \frac{5}{3}

20 \times  \frac{3}{5}

\frac{60}{5}

= 12 \: pancakes .

Therefore , 12 pancakes can be made from 1 cup of floor .

<h2>Solution (b) :-</h2>

Number of pancakes that can be made with 1 cup of flour = 12 pancakes

Number of pancakes that can be made with 9 cups of flour :-

= 9 × 12

= 108 pancakes

Therefore , I can make 108 pancakes with 9 cups of flour .

<h2>Solution (c) :-</h2>

Yes , I have enough flour to make 100 pancakes . I say this because :-

With one cup of flour I can make = 12 pancakes

With 9 cups of flour I can make =

= 9 × 12

= 108 pancakes

As I can make 108 pancakes with 9 cups of flour , I can conclude that I have enough flour to make 100 pancakes .

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If a bookshelf is 28 1/8 inches long,how many 1 7/8 inch thick books will it hold?
kotegsom [21]
I believe the correct answer is 15, because 15/8 x 15/1= 225/8 and when you simplify that you get 28 with 1/8 left over.
7 0
3 years ago
Read 2 more answers
Correct answers only!
malfutka [58]

Answer:

$60.5

Step-by-step explanation:

Simply plug in all known values to the equation. You know that p is 50, r is 0.10, and t is 2, for two years. After you plug in all those values, you can solve for this equation, and get 60.5 as your answer.

4 0
3 years ago
Q1. In a fruit cocktail, for every 30 ml
lora16 [44]

Answer:

3/10

Step-by-step explanation:

\frac{30}{30 + 20 + 50}   =  \frac{3}{10}

5 0
2 years ago
Factor the trinomial<br><br> x^2-9x+4x
8090 [49]

Answer:


Step-by-step explanation:

Simplifying

x2 + -9x = 4x + -4

Reorder the terms:

-9x + x2 = 4x + -4

Reorder the terms:

-9x + x2 = -4 + 4x

Solving

-9x + x2 = -4 + 4x

Solving for variable 'x'.

Reorder the terms:

4 + -9x + -4x + x2 = -4 + 4x + 4 + -4x

Combine like terms: -9x + -4x = -13x

4 + -13x + x2 = -4 + 4x + 4 + -4x

Reorder the terms:

4 + -13x + x2 = -4 + 4 + 4x + -4x

Combine like terms: -4 + 4 = 0

4 + -13x + x2 = 0 + 4x + -4x

4 + -13x + x2 = 4x + -4x

Combine like terms: 4x + -4x = 0

4 + -13x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-4' to each side of the equation.

4 + -13x + -4 + x2 = 0 + -4

Reorder the terms:

4 + -4 + -13x + x2 = 0 + -4

Combine like terms: 4 + -4 = 0

0 + -13x + x2 = 0 + -4

-13x + x2 = 0 + -4

Combine like terms: 0 + -4 = -4

-13x + x2 = -4

The x term is -13x.  Take half its coefficient (-6.5).

Square it (42.25) and add it to both sides.

Add '42.25' to each side of the equation.

-13x + 42.25 + x2 = -4 + 42.25

Reorder the terms:

42.25 + -13x + x2 = -4 + 42.25

Combine like terms: -4 + 42.25 = 38.25

42.25 + -13x + x2 = 38.25

Factor a perfect square on the left side:

(x + -6.5)(x + -6.5) = 38.25

Calculate the square root of the right side: 6.184658438

Break this problem into two subproblems by setting  

(x + -6.5) equal to 6.184658438 and -6.184658438.


8 0
3 years ago
Read 2 more answers
Kevin jogged 2 1/2 miles in 1/3 of an hour. What was his average rate in speed in miles per hour? Show your work. ​
Arlecino [84]

Answer:

7.5 miles per hour

Step-by-step explanation:

Average Speed = Total Distance/Total Time

\frac{2 \frac{1}{2} }{\frac{1}{3} }= 7.5 miles/hour

Answer from Gauthmath

3 0
3 years ago
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