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Alex777 [14]
3 years ago
10

A family has two cars. The first car has a fuel efficiency of 15 miles per gallon of gas and the second has a fuel efficiency of

25 miles per gallon of gas. During one particular week, the two cars went a combined total of 975 miles, for a total gas consumption of 55 gallons. How many gallons were consumed by each of the two cars that week?
Mathematics
1 answer:
Lera25 [3.4K]3 years ago
6 0
15x+25y=975
x+y=55

Rearrange equation two so x is by itself.
x=-y+55

Plug the rearranged equation two into equation one.
15(-y+55)+25y=975

Evaluate the 'new' equation 1.
-15y+825+25y=975
10y+825=975
10y=150
y=15

Choose an equation to evaluate with y to get x. (i chose equation 2 because it was easier)
x+15=55

Evaluate the equation
x=55-15
x=40

So now we have x=40 and y=15

Evaluate those two terms with both equations to check the correctness.
15(40)+25(15)=975
600+375=975
975=975 (correct)

40+15=55
55=55 (correct)

Both equations are correct so the values of x and y are true.
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What is 60% out of 40?
Afina-wow [57]

Answer:

24

Step-by-step explanation:

Divide 40 by 10 and multiply your answer by 6

8 0
3 years ago
shirley is going to have the exterior of her home painted. tims painting charges  $250 plus $14 per hour. colorful prints charge
Alexandra [31]
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6 0
3 years ago
Find the four real zeros of the polynomial. f(x) = x4 + 6x3 - 3x2 -52x - 60
OLEGan [10]
The function is 

f(x)=x^4+6x^3-3x^2-52x-60

The "zeros" of a function, are the values of x, for which f(x)=0


According to the "Rational Root Theorem", the rational roots of f, are factors of 60.

That is, when trying to find the roots of a polynomial function, it is a very good idea to first check the factors of the constant term.


All numbers shown in the choices are factors of 60, so we will solve the problem by trial:


f(2)=2^4+6\cdot2^3-3\cdot2^2-52\cdot2-60=16+48-12-104-60 \neq 0

2 is not a root, so we eliminate choices A and D, 

Choices B and C are almost equal, with only 1 different number, so let's check whether 5 is a root or not:


f(5)=(5)^4+6\cdot(5)^3-3\cdot(5)^2-52\cdot(5)-60

=625+750-75-160-60=60


but 

f(-5)=(-5)^4+6\cdot(-5)^3-3\cdot(-5)^2-52\cdot(-5)-60

=625-750-75+160-60=0

So the right choice is B
7 0
4 years ago
Write the slope-intercept form of the equation that passes through the point (4,-6) and is parallel to the line y = -3/4x - 5
Karolina [17]

The equation that runs through the location (4,-6) has the slope-intercept form,  y=-\frac{3}{4}x-3 .

<h2>Formation of the equation</h2>

A line's equation written in the slope-intercept form:

y=mx+b

where m= slope & b= y-intercept

The slope of two parallel lines is equal.

Currently, we know the line's equation:

y=-\frac{3}{4} x-5

here, slope, m= -\frac{3}{4}

A line equation is created by adding the slope's value and the point's coordinates (4, -6):

-6=-\frac{3}{4}(4)+b

⇒ -6=-3 +b [adding 3 to both sides]

⇒-3=b

⇒b= -3

Hence the solution is  y=-\frac{3}{4}x-3 .

Learn more about slope-intercept form here:

brainly.com/question/9682526

#SPJ4

5 0
2 years ago
Gina spins a penny 100 times and it lands head side up 38 times. Explain why Gina's experimental probability may be different fr
Advocard [28]

Answer:

Step-by-step explanation:

Experimental probability is the ratio of the number of times an event occurs to the total number of trials or times the activity is performed.

Theoretical probability is a method to express the likelihood that something will occur. It is calculated by dividing the number of favorable outcomes by the total possible outcomes.

Experimental: 38 times occurred/ 100 trials = 38/100 = 38%

Theoretical: 1/2 chance a coin lands on heads, 1/2 chance a coin lands on tails. 1/2 = 50%

Onne depends on chance, and one on facts, they are different.

Experimental Probability can vary for flipping a coin

Theoretical Probability will always be 50%

Hope this info helps with your explanation. =)

Tell me if you need more help

7 0
3 years ago
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