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Cerrena [4.2K]
3 years ago
15

Mariah wanted to make cookies for her family but needed to reduce the recipe. The original recipe required five cups of

Mathematics
2 answers:
Arlecino [84]3 years ago
7 0

Answer: 1.2 cups

Step-by-step explanation:

The original ratio is 5/2, which is 2.5 in decimal form. Just plug in numbers for the 3/x ratio. 3/1.2 equals 2.5.

Hope this helps! Please make me brainliest! :)

Yakvenalex [24]3 years ago
4 0

Set up a ratio 3 cups of flour / 5 cups of flour = x cups of sugar/ 2 cups of sugar.

Cross multiply:

(3x2) / 5x = 6 = 5x

Divide both sides by 5

X = 6/5 cups of

B. Setting up a ratio calculates the proper amount of ingredients

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How many different perfect cubes are among the positive actors of 2021^2021
9966 [12]

Answer:

hope this helps :D

Step-by-step explanation:

Perfect cube factors:

If a number is a perfect cube, then the power of the prime factors should be divisible by 3.

Example 1:Find the number of factors of293655118 that are perfect cube?

Solution: If a number is a perfect cube, then the power of the prime factors should be divisible by 3. Hence perfect cube factors must have

2(0 or 3 or 6or 9)—– 4 factors

3(0 or 3 or 6)  —–  3  factors

5(0 or 3)——- 2 factors

11(0 or 3 or 6 )— 3 factors

Hence, the total number of factors which are perfect cube 4x3x2x3=72

Perfect square and perfect cube

If a number is both perfect square and perfect cube then the powers of prime factors must be divisible by 6.

Example 2: How many factors of 293655118 are both perfect square and perfect cube?

Solution: If a number is both perfect square and perfect cube then the powers of prime factors must be divisible by 6.Hence both perfect square and perfect cube must have

2(0 or 6)—– 2 factors

3(0 or 6) —– 2 factors

5(0)——- 1 factor

11(0 or 6)— 2 factors

Hence total number of such factors are 2x2x1x2=8

Example 3: How many factors of293655118are either perfect squares or perfect cubes but not both?

Solution:

Let A denotes set of numbers, which are perfect squares.

If a number is a perfect square, then the power of the prime factors should be divisible by 2. Hence perfect square factors must have

2(0 or 2 or 4 or 6 or 8)—– 5 factors

3(0 or 2 or 4 or 6)  —– 4 factors

5(0 or 2or 4 )——- 3 factors

11(0 or 2or 4 or6 or 8 )— 5 factors

Hence, the total number of factors which are perfect square i.e. n(A)=5x4x3x5=300

Let B denotes set of numbers, which are perfect cubes

If a number is a perfect cube, then the power of the prime factors should be divisible by 3. Hence perfect cube factors must have

2(0 or 3 or 6or 9)—– 4 factors

3(0 or 3 or 6)  —–  3  factors

5(0 or 3)——- 2 factors

11(0 or 3 or 6 )— 3 factors

Hence, the total number of factors which are perfect cube i.e. n(B)=4x3x2x3=72

If a number is both perfect square and perfect cube then the powers of prime factors must be divisible by 6.Hence both perfect square and perfect cube must have

2(0 or 6)—– 2 factors

3(0 or 6) —– 2 factors

5(0)——- 1 factor

11(0 or 6)— 2 factors

Hence total number of such factors are i.e.n(A∩B)=2x2x1x2=8

We are asked to calculate which are either perfect square or perfect cubes i.e.

n(A U B )= n(A) + n(B) – n(A∩B)

=300+72 – 8

=364

Hence required number of factors is 364.

8 0
3 years ago
What kind of external conflict is reflected in this excerpt from Jack London’s The Call of the Wild?
laiz [17]

Answer: A. the external conflict of character versus character

Step-by-step explanation:

Hi, in this excerpt we can see a external conflict of character versus character between Buck and Spitz.

Spitz is a Lead dog with  a determination to maintain that role. But Buck, also wants the leadership, and is not afraid to fight for it.

Buck has a desire for mastery, that desire generates a conflict between the two, for the leadership of the pack.

5 0
3 years ago
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A computer is priced $500 but is on sale for 30% off. What is the sale price of the computer
charle [14.2K]

Answer: $350.00

Step-by-step explanation:

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3 years ago
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Which of the following algebraic expressions could represent thirty less than one-half the value of x?
mylen [45]

Answer: x/2-30

Step-by-step explanation: half= divide by 2 30 less= minus 30

6 0
3 years ago
Customer account “numbers” for a certain company consists of 2 letters followed by 2 single-digit numbers. How many different ac
julia-pushkina [17]

Answer:

  • 67600

Step-by-step explanation:

<u>Let the format be:</u>

  • LLDD- where L stands for letter and D- digit

For each L we have 26 (English alphabet) and for each D we have 10 options.

<u>Number of possible accounts:</u>

  • 26*26*10*10 = 67600
8 0
2 years ago
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