What number when substituted for the variable, makes the equation 4/5x = 20 true?

Mathematics

2 answers:

Galina-37 [17]3 years ago

8 0

25
but im bad sooooooooo

ivolga24 [154]3 years ago

3 0

Sent a picture of the solution to the problem (s).

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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 $64 - y^3$ :
$64 - y^3 \\
= (4 - y)( 4^{2} + 4y + y^{2}) \\
= (4 - y)( 16 + 4y + y^{2})$

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Answer: $(4 - y)( 16 + 4y + y^{2})$

8 0

2 years ago

Which expression is equivalent to 4(5j + 7)?

frozen [14]

Answer: 4(5j+7) = 20j+28

Step-by-step explanation:

5 0

3 years ago

What is the exact value that is 48% of 1165

Vera_Pavlovna [14]

We know that the percentage amount of any number can be found by first converting the the given percentage to a fraction and then multiplying it by the given number. Thus, in our case, the exact value, that is 48% of 1165 can be calculated as follows:

We know that $48\%=\frac{48}{100}=0.48$