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djyliett [7]
2 years ago
13

Simplify the given equation. 5x + 2(x - 3) = -2(x - 1)

Mathematics
1 answer:
svp [43]2 years ago
8 0
On the left side, distribute the 2 to x and -3 so the left side should look like 5x+2x-6.

on the right, distribute the -2 to x and -1 so the right side should look like -2x+2.

combine like terms on the left to get 7x-6=-2x+2

add -2x from the right side to the left side to make the equation 9x-6=2 now it's a two step equation.
add 6 to 2 to get 9x=8. divide by 9 and x=8/9.


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Which of the following lines is perpendicular to the equation y= -2x+8
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8 0
3 years ago
There are some nickels, dimes, and quarters in a large piggy bank. For every 2 nickels there are 3 dimes. For every 2 dimes ther
rodikova [14]

Answer: a) Number of nickels, dimes, and quarters are 80, 120, 300 respectively.

b) The coins are worth of 91 dollars i.e. $91 in the piggy bank.

Explanation:

Since we have given that

For every 2 nickels there are 3 dimes ,

So, their ratio will be 2:3

and for every 2 dimes there are 5 quarters.\,

So, their ratio will be 2:5

Now, we'll first find the ratio of nickles to dimes to quarters i.e.

Nickle  Dimes  Quarters

2            3

             2               5

So, it becomes ,

Nickle : Dimes : Quarters

2×2     : 3×2        : 3×5

4         : 6            :  15

Now, let the number of nickle be 4x

Let the number of dimes be 6x

Let the number of quarters  be 15x

According to question,

4x+6x+15x=500\\\\25x=500\\\\x=\frac{500}{25}=20

So, number of nickels is given by

4x=4\times 20=80

Number of dimes is given by

6x=4\times 20=120

Number of quarters is given by

15x=4\times 20=300

As we know that

1\ nickel=5\ cents\\\\1\ dime=10\ cents\\\\1\ quarter=25\ cents

So, According to our question, we get

80\times 5+120\times 10+300\times 25=400+1200+7500=9100\ cents\\\\1\ cent=0.01\ dollar\\\\9100\ cents=9100\times 0.01\ dollars=91\ dollars.

Hence,

a) Number of nickels, dimes, and quarters are 80, 120, 300 respectively.

b) the coins are worth of 91 dollars i.e. $91 in the piggy bank.


7 0
3 years ago
Solve the proportion <br> 7/5=x/3
kumpel [21]

Start with

\dfrac{7}{5}=\dfrac{x}{3}

Multiply both sides by 3:

\dfrac{21}{5}=x

Recall that 21/5=4.2 to claim the correct answer.

6 0
2 years ago
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Answer:

ok

Step-by-step explanation:

7 0
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