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Stella [2.4K]
3 years ago
5

Ian​'s car can go 93 miles on 3 gallons of gas. During a drive, last​ weekend, Ian used 8 gallons of gas. How far did Ian ​drive

? Use pencil and paper. Explain how the problem changes if you were given the distance Ian drove last weekend instead of how much gas used.
Mathematics
1 answer:
Anuta_ua [19.1K]3 years ago
5 0

Answer:248

Step-by-step explanation:

First you need to find the unit rate by dividing 93 by 3 which would be 31 then take that number (which is how many miles for one gallon) and multiply it by 8 which would get you 248( if you need this as an equation here 93\3= 31 31*8 = 248). If they gave you the distance instead you would have had to divide by 31 instead of using multiplication. Hope this helps!

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svlad2 [7]
Let q and n represent the number of quarters and nickels respectively.

q=3n and .05n+.25q=1.6  These are the conditions in mathematical terms.

To solve, use the value of q from the first equation in the second equation to get:

.05n+.25(3n)=1.6  carry out indicated multiplication on left side

.05n+.75n=1.6  combine like terms on left side

.8n=1.6  divide both sides by .8

n=2, since q=3n

q=6

So Peggy had 2 nickels and 6 quarters.
3 0
3 years ago
What is the answer to |-2|+|-3|
Nastasia [14]

Answer:

5

Step-by-step explanation:

the absolute value of -2 is 2

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7 0
3 years ago
Please help! I need this quickly!
s2008m [1.1K]
The correct answer is A) adults tickets: 19
7 0
3 years ago
Read 2 more answers
Solve the system of equations algebraically. Show all of your steps
Katyanochek1 [597]
I am going to explain this using the substitution method, considering it appears to be the best in this situation.

We know (from the bottom equation) that y can equal 3x+20. Using this knowledge, we substitute the y in the top equation for 3x+20. Now, we have an equation that looks like this:

3x+20=x^2+2x

Now we need to move x to one side and then do some radicals (square roots).
Subtract the 2x on the right (since it is smaller, negatives = NONONO), which will give you

x+20=x^2

Now, we take the square root of both sides to get

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Now we have to simplify. 20 doesn't have a square root, but 4 goes into 20, and 4 has a square root of 2. This now becomes

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This doesn't simplify any further... we have a problem... no way to isolate x as far as my knowledge goes... Sorry, can't help you any further than that, but another person or your teacher might be able to. R.I.P...
4 0
3 years ago
School pennants cost $18 each. Ms.Lee says she will pay $146 for 7 pennants. Is her answer reasonable?
crimeas [40]

Well, all we have to do to figure out if Ms. Lee’s offer is reasonable is multiply the unit price ($18) by 7

18 x 7 = 126

Since she offered $146, she could actually purchase 8 pennants for $144

Therefore, her answer wouldn’t be reasonable

Hope this helps you

Brainliest would be appreciated!

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3 years ago
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