Nancy’s grandma needs 5/8 of a yard of lace for each doll hat she makes. How many doll hats can she make with 10 yards of lace?

Answers

Answer 1

Answer: 16 10 divided by 5/8 = 16

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What composite number is greater than 1000 whose prime factorization contains 1 prime number that does not repeat 1 prime number that repeats three times and 1 prime number that repeats twice?

Answers

Final answer:

The composite number sought is 12250 which is greater than 1000. Its prime factorization includes the prime numbers 2 (that does not repeat), 5 (that repeats thrice), and 7 (that repeats twice).

Explanation:

The subject is looking for a composite number greater than 1000, whose prime factorization contains 3 types of prime numbers: one that does not repeat, the second repeats three times, and the third repeats twice. We have many prime numbers but to get a number greater than 1000, let’s use larger prime numbers for instance 2, 5 and 7. Let's calculate the composite number with these primes:

2^1 * 5^3 * 7^2 = 2 * 125 * 49 = 12250

Therefore, 12250 is a composite number greater than 1000 whose prime factorization contains 1 prime number(2) that does not repeat, 1 prime number(5) that repeats three times and 1 prime number(7) that repeats twice.

Learn more about Prime Factorization here:

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The ratio of Mark's age to Reeta's age is 3:5Mark's age is 24 years.
(a) Work out Reeta's age.

Answers

Answer:

Step-by-step explanation:

Set up a ratio. Solve for x.

$(3)/(5)=(24)/(x) \n3x = 120\nx=40$

Reeta is 40 years old.

Kevin is 4 times as old as Daniel and is also 6 years older than Daniel. How old is Kevin?

Answers

There are numerous important information's already given in the question. Based on these information's, the answer can be deduced.
Let us assume the age of Daniel = x years
Let us assume the age of Kevin = y years
Then
y = 4x
and
y = x + 6
So
4x = x + 6
4x - x = 6
3x = 6
x = 6/3
= 2 years
So
Age of Kevin = 4 * 2 years
= 8 years

Which of the following could identify the transformation of a parabola with a vertex (-4,-6) to parabola with a vertex (1,-6)?

Answers

Hello,

2 possibilties:
1) a translation to the right of 5 (both parabolas are turning upward)
2) a central symetry( center is (-1.5,-6)
parabolas does not have the same direction upward and downward.

Here is a problem from way back from my bro's math (elementary)3 cats eat 3 cats in 3 minutes
how long does it take for 100 cats to eat 100 fish?

show all work

(hint: answer is not 100 minutes, and if you answer 100 minutes you are wrong and will be reported)

Answers

3 cats -------------- 3 fish -------------3 minutes
100 cats------------100 fish ----------- x

The cats and fish are variables directly proportional, the cats and the time are varibles inversely proportional,
Therefore,

3 cats * 100 fish * x=100 cats * 3 fish * 3 minutes
x=(100 cats * 3 fish * 3 minutes) / (3 cats * 100 fish)
x=3 minutes.

Answer: the time will be 3 minutes.

Cual es la fórmula del área de un triángulo

Answers

Area de un triangulo = (1/2 de la base) multiplicada por (la altura) .

Other Questions

What multiplies to -240 and adds to 8

Figure PQR is an equilateral triangle with a semicircle added to its base.What is the perimeter of figure PQR? Use 3.14 to approximate pi.

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Consider the quadratic function f (x)= x2-5x+6