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postnew [5]
2 years ago
7

One-third of a cake recipe calls for 3/4 cup of flour. How many cups are needed per recipe?

Mathematics
1 answer:
andrey2020 [161]2 years ago
7 0

Answer:

2 1/4

Step-by-step explanation:

1/3 = 3/4

3/4 ÷ 3 = 1/4

1/3 ÷ 3 = 1/9

1/9 recipe with 1/4 flour

1/9 x 9 = 9/9 = 1

1/4 x 9 = 9/4 = 2 1/4

for a recipe, it will need 2 1/4 cups of flour

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Two cars leave towns 300 kilometers apart at the same time and travel toward each other. One car's rate is 10 kilometers per hou
mel-nik [20]

300 \div 120 = 2.5
so 2.5 kilometers per second
3 0
3 years ago
A triangle has a perimeter of 90 centimeters write and use a linear system
lawyer [7]

We are given sides of the triangle by expression

First side : n

Second side : m = 5n-5.

Third side : l = 5/4 m - n.

Perimeter is 90.

Therefore, first equation could be set :

n +m +l = 90   --------------equation(1)

Second equation would be

m = 5n-5        --------------equation(2)

Third equation would be

l = 5/4 m - n   --------------equation(3)

Let us solve the system of equations by substitution.

Substituting m = 5n-5 and l = 5/4 m - n in first equation.

We get

n +5n-5 +5/4 m - n= 90

Now, substituting m = 5n-5 in above equation we get

n +5n-5 +5/4 (5n-5) - n= 90

5n + 25n/4 -5 - 25/4 =90

5n + 6.25n -5-6.25 = 90.

11.25n-11.25 = 90

Adding 11.25 on both sides, we get

11.25n-11.25+11.25 = 90+11.25

11.25n = 101.25.

Dividing both sides by 11.25, we get

n=9.

Plugging n=9 in 2nd equation.

m = 5(9)-5 = 45 -5 = 40.

Plugging n=9 and m=40 in first equation, we get

9 +40 +l = 90

49 +l = 90.

Subtracting 49 from both sides, we get

49-49 +l = 90-49

l = 41.

Therefore, sides are of lengths l = 41, m= 40 and n=9.


5 0
3 years ago
What expression is equivalent to (10x)^-3
irakobra [83]

Answer:

1/ (1000x^3)

Step-by-step explanation:

yes

6 0
3 years ago
Read 2 more answers
Help please!<br> Sorry for the image quality.
VARVARA [1.3K]

Answer:

\displaystyle (-1,\frac{-3}{2})

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Algebra I</u>

  • Midpoint Formula: \displaystyle (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Find points from graph.</em>

Point (-3, 1)

Point (1, -4)

<u>Step 2: Find Midpoint</u>

Simply plug in your coordinates into the midpoint formula to find midpoint

  1. Substitute [MF]:                         \displaystyle (\frac{-3+1}{2},\frac{1-4}{2})
  2. [Fractions] Add/Subtract:         \displaystyle (\frac{-2}{2},\frac{-3}{2})
  3. [Fractions] Divide:                    \displaystyle (-1,\frac{-3}{2})
8 0
3 years ago
The ratio of orange juice concentrate to water that Zoe used to make orange juice yesterday was 3 : 7. She used 14 ounces if wat
Inessa05 [86]

Answer:

12:28

Step-by-step explanation:

yesterday the ratio would be 6:14 so then you double that to get 12:28

6 0
2 years ago
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