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victus00 [196]
3 years ago
11

It always confuses me when they make me do the baby steps

Mathematics
1 answer:
VladimirAG [237]3 years ago
5 0

Algebra always makes things sound harder than they actually are, and weird vocabulary can mix up the steps we knew so well.


Part 1: Multiply the first equation by a 2 so that you can cancel out the y variable.

6x - 2y = 0

5x + 2y = 22


Part 2: Actually cancel out the y variables, and combine like terms.

11x = 22


Part 3: Solve for "x" by dividing both sides by 11

x = 2


Part 4: Substitute the variable "x" with the value we just solved for in the original equation.

3(2) - y = 0

6 - y = 0

Then, solve for y by adding y to both sides

6=y


Solution Set = {2,6}

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3 years ago
The Moore family received 35 pieces of mail on February 2. The mail consisted of letters, magazines, bills, and ads, How many le
MAVERICK [17]

Let:

• l, be the number of letters recieved

,

• m, be the number of magazines recieved

,

• b, be the number of bills recieved

,

• a, be the number of adds recieved

Since we know that the Moore family received 35 pieces of mail in total, we'll have that:

l+m+b+a=35

We'll call this equation equation 1.

Now, we know that they received three more magazines than bills. This way,

m=b+3

We'll call this equation equation 2.

We also know that they recieved five more ads than magazines. This way,

a=m+5

We'll call this equation equation 3.

For our last eqaution, we know that they recieved the same number of letters as bills. This way,

l=b

We'll call this equation equation 4.

First, we'll substitute equation 4 into equation 1:

\begin{gathered} l+m+b+a=35\rightarrow b+m+b+a=35 \\ \Rightarrow m+a+2b=35 \end{gathered}

Now, we'll substitute equation 3:

\begin{gathered} m+a+2b=35\rightarrow m+m+5+2b=35 \\ \rightarrow2m+2b=30 \\ \Rightarrow m+b=15 \end{gathered}

Lastly, we substitute equation 2:

\begin{gathered} m+b=15\rightarrow b+3+b=15 \\ \rightarrow2b+3=15\rightarrow2b=12\rightarrow b=\frac{12}{6} \\  \\ \Rightarrow b=2 \end{gathered}

From equation 4, we'll have that:

l=b\rightarrow l=2

This way, we can conclude that they recieved 2 letters.

6 0
1 year ago
Volume problem.... Please help
vladimir1956 [14]

Answer:

c

Step-by-step explanation:

volume of cylinder = πr^2h

r = 6.5

h = 13+13+13 = 39

cylinder volume = 1647.75π cm^3

volume of one sphere = 4/3 π r^3

= 366.16π cm^3

space not occupied by tennis balls = 1647.75π-3(366.16π)=549.25π cm^3

5 0
3 years ago
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