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IrinaVladis [17]
3 years ago
13

What is the identity of 8z^3+27

Mathematics
1 answer:
Alik [6]3 years ago
8 0

8 is a cube: 2³

27 is a cube: 3³

The expression can be identified as "the sum of two cubes": (2z)³ + 3³.

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Marty made a $220 bank deposit using $10 bills and $5 bills. She gave the teller a total of 38 bills, how many $5 bills were in
Luda [366]

ANSWER: 32 five-dollar bills

======

EXPLANATION:

Let x be number of $5 bills

Let y be number of $10 bills

Since we have total of 38 bills, we must have the sum of x and y be 38

x + y = 38 (I)

Since the total amount deposited is $220, we must have the sum of 5x and 10y be 220 (x and y are just the "number of" their respective bills, so we multiply them by their value to get the total value):

5x + 10y = 220 (II)

System of equations:

\left\{ \begin{aligned} x + y &= 38 && \text{(I)} \\ 5x + 10y &= 220 && \text{(II)} \end{aligned} \right.

Divide both sides of equation (II) by 5 so our numbers become smaller

\left\{ \begin{aligned} x + y &= 38 && \text{(I)} \\ x + 2y &= 44 && \text{(II)} \end{aligned} \right.

Rearrange (I) to solve for y so that we can substitute into (II)

\begin{aligned} x + y &= 38 && \text{(I)} \\ y &= 38 - x \end{aligned}

Substituting this into equation (II) for the y:

\begin{aligned} x + 2y &= 44 && \text{(II)} \\ x + 2(38 - x) &= 44\\ x + 76 - 2x &= 44 \\ -x &= -32 \\ x &= 32 \end{aligned}

We have 32 five-dollar bills

======

If we want to finish off the question, use y = 38 - x to figure out number of $10 bills

y = 38 - 32 = 6

32 five-dollar bills and 6 ten-dollar bills

7 0
3 years ago
Tim has twice as many marbles as Luke together they have 39 marbles how many marbles does time have
Travka [436]
Tim has 2 times as luke
t=2l
they have 29 goether
t+l=39
subsitute
2l+l=39
3l=39
divide by 3
l=13

subsitue
t=2l
t=2(13)
t=26


tim has 26 and luke has 13
I don't know how many marble Tim has but probably all of them since alll must die and then the marbles go to Time
3 0
3 years ago
Read 2 more answers
on saturday the librarian noted that a total of $85.00 was collected in library fines. Three times as much money was collected i
Tems11 [23]
$63.75 in the morning and 21.25 in the afternoon
5 0
3 years ago
Help asap please I'm stuck and I gotta leave soon
Darya [45]

Answer: I found the answer of A=9h

5 0
3 years ago
Read 2 more answers
What is the explicit equation for the sequence of 25, 21, 17, 13?
OlgaM077 [116]

Answer:

You are taking away 4 each time

Step-by-step explanation:

25 - 4 = 21

21 - 4 = 17

17 - 4 = 13

13 - 4 = 9

3 0
3 years ago
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