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coldgirl [10]
2 years ago
6

- Write a system of equations in which one equation could be multiplied by-2 and the

Mathematics
1 answer:
iris [78.8K]2 years ago
6 0

2x+5y=9

3x+7y=13

6x+15y=27

-6x-14y=-26

y=1

x=2

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A vehicle uses 1 1/8 gallons of gasoline to travel 13 1/2 miles. At this rate, how many miles can the vehicle travel per gallon
valentina_108 [34]

Answer:

12 miles

Step-by-step explanation:

The problem above is related to the topic on "Equivalent Ratios." The missing term above is <em>"the number of miles that the vehicle can travel per gallon of gasoline."</em> In order to find this term, you have to use the "cross products."

Let n be the missing term.

  • 1\frac{1}{8} gallons/13\frac{1}{2} miles = \frac{1 gallon}{n}
  • \frac{9}{8} gallons/\frac{27}{2} miles = \frac{1 gallon}{n}
  • \frac{9}{8} x n = \frac{27}{2} x 1 gallon
  • n = \frac{27}{2} ÷ \frac{9}{8}
  • n = \frac{27}{2} x \frac{8}{9}
  • n = 12 miles

Therefore, the vehicle can travel 12 miles per gallon of gasoline.

3 0
3 years ago
The cost of a gym membership is a onetime fee of $140, plus a monthly fee of $40, Brendan wrote a check for $500 to pay his gym
nika2105 [10]

Answer:

9 months

Step-by-step explanation:

Given data

One time fee= $140

Monthly fee= $40

Total amount of check = $500

The expression that describes the situation is given as

y=mx+c

where y= the total amount of the check

m= the monthly fee

x= the number of months

c= the one time fee

Substitute

500=40x+140

500-140=40x

360=40x

x= 360/40

x=9

Hence the number of months is 9 months

3 0
2 years ago
What is the sum of the first 14 terms of the sequence an = 6n -12
mina [271]
When n = 1  first term  = -6 
n = 2  second term =  0
n = 3 third term = 6

n = 4 4th term = 12

so we have an Arithmetic sequence  first term = -6 and common difference = 6

Sum 14 terms  =  (14/2)[2*-6 + (14-1)*6]

 =  462  answer
6 0
3 years ago
Given (-2, 4) (1, -2). Find the slope of the line
gavmur [86]

Answer:

-2

Step-by-step explanation:

We can find the slope of a line given two points from

m = (y2-y1)/(x2-x1)

    = (-2-4)/(1--2)

    = (-6)/(1+2)

    =-6/3

    =-2

5 0
2 years ago
Read 2 more answers
X2+11x+30 what does x2 mean
Alexxandr [17]

x^2 in the function that you typed is x * x ( x multiplied by x). It represents a second degree because there are only 2 "x"s multiplied together. If there were 3 "x"s multiplied together, we would have x^3. Since the highest exponent in this function is 2 (in x^2), we call this function a 2nd degree polynomial.

4 0
2 years ago
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