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Simora [160]
3 years ago
9

Jasmine is thinking about buying a car and is comparing two vehicles. One gets 14 miles to the gallon (mpg) and the other gets 2

8 miles to the gallon. Assuming that she drives 6,000 miles a year, how much money would she save by buying the more fuel efficient car if gas is $3.50 a gallon? (Round to the nearest dollar.)
Mathematics
1 answer:
const2013 [10]3 years ago
3 0

The more fuel efficient car is the car that has 28 miles to a gallen.She would be saving 752 dollars.

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2 Here are two equations:
MatroZZZ [7]

a. (3,4) is only the solution to Equation 1.

(4, 2.5) is the solution to both equations

(5,5) is the solution to Equation 2

(3,2) is not the solution to any equation.

b. No, it is not possible to have more than one (x,y) pair that is solution to both equations

Step-by-step explanation:

a. Decide whether each neither of the equations,

i (3,4)

ii. (4,2.5)

ill. (5,5)

iv. (3,2)

To decide whether each point is solution to equations or not we will put the point in the equations

Equations are:

Equation 1: 6x + 4y = 34

Equation 2: 5x – 2y = 15

<u>i (3,4) </u>

Putting in Equation 1:

6(3) + 4(4) = 34\\18+16=34\\34=34\\

Putting in Equation 2:

5(3) - 2(4) = 15\\15-8 = 15\\7\neq 15

<u>ii. (4,2.5)</u>

Putting in Equation 1:

6(4) + 4(2.5) = 34\\24+10=34\\34=34\\

Putting in Equation 2:

5(4) - 2(2.5) = 15\\20-5 = 15\\15=15

<u>ill. (5,5)</u>

6(5) + 4(5) = 34\\30+20=34\\50\neq 34

Putting in Equation 2:

5(5) - 2(5) = 15\\25-10 = 15\\15=15

<u>iv. (3,2)</u>

6(3) + 4(2) = 34\\18+8=34\\26\neq 34

Putting in Equation 2:

5(3) - 2(2) = 15\\15-4 = 15\\11\neq 15

Hence,

(3,4) is only the solution to Equation 1.

(4, 2.5) is the solution to both equations

(5,5) is the solution to Equation 2

(3,2) is not the solution to any equation.

b. Is it possible to have more than one (x, y) pair that is a solution to both

equations?

The simultaneous linear equations' solution is the point on which the lines intersect. Two lines can intersect only on one point. So a linear system cannot have more than one point as a solution

So,

a. (3,4) is only the solution to Equation 1.

(4, 2.5) is the solution to both equations

(5,5) is the solution to Equation 2

(3,2) is not the solution to any equation.

b. No, it is not possible to have more than one (x,y) pair that is solution to both equations

Keywords: Linear equations, Ordered pairs

Learn more about linear equations at:

  • brainly.com/question/10534381
  • brainly.com/question/10538663

#LearnwithBrainly

8 0
3 years ago
To the nearest tenth of a mile how many miles from the runway is the airplane at the start of this approach the figure is not dr
nikklg [1K]
Hey guys im gonna be really nice, ima give you the answers for connexus <span>Geometry Semester B: 1) D 2) B 3) A 4) D 5) B 6) C 7) D 8) A 9) A 10) NO 11) OBTUSE 12) C 13) A 14) D 15) B 16) A 17) LAST GRAPH 18) D 19) A 20) B 21) B 22) B 23) C 24) A 25) B 26) A 27) A 28) B 29) B 30) B 31) A 32) A 33) B 34) B 35) B 36) D 37) A 38) A 39) A 40) B 41) D 42) A 43) B 44) A 45) B 46) D 47) C 48) A 49) D 50) D 
These r 100% correct i promise if ur in connexus you will get all correct! hope this helps you guys out :3</span>
4 0
3 years ago
Find the equation of the line shown.
dedylja [7]

Answer:

f(x)=2x

Step-by-step explanation:

You can get your (a)term by finding rise/run, and there is no y-intercept so the (b)term is not known. Thus you get f(x)=2x.

8 0
3 years ago
The first answer already given, what's the second answer (in the green box)​
chubhunter [2.5K]

Solution:

Since the graph passes through the given points, (7, 20) & (-2, 11) are the solutions of the given equation <em>y = x + ?</em>.

⇒<em>(x, y)</em> = (7, 20); (-2, 11)

Substituting the variables with (7, 20),

20 = 7 + <em>?</em>

20 - 7 = <em>?</em>

<em>?</em> = 13

Similarly,

11 = -2 +  <em>?</em>

<em>?</em> = 13

∴ <em>y</em> = 13

8 0
3 years ago
Complete the equation of the line whose slope is 5 and y intercept is (0,4)
irina1246 [14]

y = 5x + 4 is the equation of the line whose slope is 5 and y intercept is (0,4)

<em><u>Solution:</u></em>

Given that, we have to write the equation of the line whose slope is 5 and y intercept is (0,4)

<em><u>The equation of line in slope intercept form is given as:</u></em>

y = mx + c ---- eqn 1

Where, "m" is the slope of line and "c" is the y - intercept

Given that, slope = m = 5

y intercept is (0, 4)

So, c = 4

<em><u>Substitute c = 4 and m = 5 in eqn 1</u></em>

y = 5x + 4

Thus the equation of line is found

7 0
3 years ago
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