anonymous
  • anonymous
i got a ACT test study and i need help with some of it reply if u are willing to help
Mathematics
  • Stacey Warren - Expert brainly.com
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
car A averages 16 miles a gallon car B average 35 miles a gallon at this rate how much more gallons will car A and B need to make a 1120 mile trip
phi
  • phi
if you multiply 1120 miles by the ratio of gallons/mile , you will get gallons in other words, car A will use \( 1120\ miles \cdot \frac{1\ gallon}{16 miles} \) and car B will use \( 1120\ miles \cdot \frac{1\ gallon}{35 \ miles} \) and the difference is \[ 1120 \cdot \frac{1}{16 }- 1120 \cdot \frac{1}{35 } \]
anonymous
  • anonymous
thx so helpful

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phi
  • phi
if you don't have a calculator you can do the division in steps (it helps to know some "rules" see https://en.wikipedia.org/wiki/Divisibility_rule) for example, 16 is 4*4 divide 4 into 1120 to get 280 then divide that by 4 to get 70 we have 70 - 1120/(5*7)
anonymous
  • anonymous
the intergers below adds up to 390 x-3 x-2 x-1 x x+1 what is the value of x
phi
  • phi
if you add them up (use algebra) what do you get ?
anonymous
  • anonymous
-55
phi
  • phi
first add up the x's. how many x's do you have?
anonymous
  • anonymous
5
phi
  • phi
for example x+x is 2x when you add up the x's you get 5x (not just 5) now add up the numbers. what do you get ?
anonymous
  • anonymous
5x-3-2-1+1?
phi
  • phi
yes, but you can simplify the numbers and get just 1 total for the numbers
phi
  • phi
in other words do -3-2 -1+1
anonymous
  • anonymous
-5?
phi
  • phi
yes. all of that means the sum of the "x stuff" is 5x-5 and they say they add up to 390 we can say 5x-5= 390 add 5 to both sides 5x-5+5 = 390+5 and simplify. what do you get ?
phi
  • phi
on the left side you have -5+5 which adds to 0 so 5x+0 on the left but adding 0 does nothing, so we can just say 5x= 390+5 what do you get on the right side?
anonymous
  • anonymous
x=79?
phi
  • phi
yes
phi
  • phi
5x= 395 divide both sides by 5 x= 395/5 = 79
anonymous
  • anonymous
ight thanks and is it ok if i message u tomarrow for more help if i need it
phi
  • phi
yes

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