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Marrrta [24]
3 years ago
5

one number is four times another number. the larger number is also 87 more than the smaller number. Find the number

Mathematics
1 answer:
Mama L [17]3 years ago
6 0
The small number is 21.75
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Factor completely:<br>64 - y^3
madam [21]
From your equation, you can see that you have a difference of two cubes (aka two cubes being subtracted): 64, which is 4^{3}, and y^{3}.

There is rule for the difference of two cubes:
The difference of two cubes is equal to the difference of the cube roots times a binomial, which is the sum of the squares of the roots plus the product of the roots.

That sounds pretty confusing, but it's much easier to understand when put mathematically. Let's say our two cubes are a^{3} and b^{3}. The difference of those two cubes is:
a^{3} - b^{3} = (a - b)( a^{2} + ab + b^{2})

In our problem, a = 4 (since a^{3} = 64) and b = y (since b^{3} = y^{3}. Plug these values into the rule to find the factor of 64 - y^3:
64 - y^3 \\&#10;= (4 - y)( 4^{2} + 4y + y^{2}) \\&#10;=  (4 - y)( 16 + 4y + y^{2})

-----

Answer: (4 - y)( 16 + 4y + y^{2})

8 0
3 years ago
If Josh invests $500 in a 5-year fixed interest savings bond that pays 5% per annum, how much will his entire investment be wort
gizmo_the_mogwai [7]

Answer:

$638.14

Step-by-step explanation:

Our equation is p*(1+x)^{t}, with p being the starting amount, x being the interest rate, and t being the time. Plugging our variables in, we get

500*(1+0.05)^{5} = around 638.14

6 0
2 years ago
A spinner is divided into nine equal sections numbered 1 through 9. Predict how many times out of 270 spins the spinner is most
polet [3.4K]

Question 1: 150

Question 2: 50

Question 3: 58% chance

Question 4: Choosing a set of parallel side on a polygon.

Question 5: 1/6

Question 6: 1/5

Question 7: ?

Question 8: Rolling a number greater than 1

Question 9: 1/12

Question 10: 30

Question 11: ?

Question 12: A green marble is selected.

Hope I helped I tried as much as possible.

3 0
3 years ago
Can anyone help me with this? please.
victus00 [196]
Acute right complementary adjacent
7 0
3 years ago
Read 2 more answers
Find the smallest whole number by which 396 should be divided so as to get a perfect square numberPLS FAST ...............
emmainna [20.7K]

Answer:

11

Steps:

Find the prime factores of 396.

These are 2x2x3x3x11.

Circle all the pairs and pick out the one that does not have a pair. In this case it is 11.

You can either multiply 396 by 11 or divide by 11 to make it a perfect square.

Since the question asks for divide. It’s 11

Hope this helps.

Good Luck

4 0
3 years ago
Read 2 more answers
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