a car travels 27 miles on each gallon of gas. How many miles can the car travel on 8 1/3 gallons of gas

Answers

Answer 1
Answer: Basically, we're multiplying 27 by 8 1/3.

1. 27 = 27/1
2. 8 1/3 = 8 * 3 = 24 + 1 = 25/3
3.27/1 * 25/3 = 27 * 25 = 675/3
4.675 divided by 3 = 225

Answer: 225 miles.

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Solve the quadratic equation by factoring. x^2 - 4x - 12 = 0​
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Hellllllllllllllllllllllllllllllllllpppppppppppppppppppppppp whats the x

Answers

Easy buddy....

2 x + 68 = 180

Subtract the sides of the equation minus68

2x = 180 - 68

2x = 112

Divided the sides of the equation by2

x =  (112)/(2)   = 56  \n

So ;

x = 56 \: degreees

_________________________________

And we're done.

Thanks for watching buddy good luck.

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What is the slope of the line through (−10,1)(-10,1)
(−10,1)
left parenthesis, minus, 10, comma, 1, right parenthesis
and
(0,−4)(0,-4)
(0,−4)
left parenthesis, 0, comma, minus, 4, right parenthesis
?

Answers

Answer:

  -1/2

Step-by-step explanation:

The slope formula can be used:

  m = (y2 -y1)/(x2 -x1)

  m = (-4 -1)/(0 -(-10)) = -5/10

  m = -1/2

The slope of the line through the given points is -1/2.

The slope of the line passing through (-10, 1) and (0, -4) is -1/2 the answer is -1/2.

What is the slope?

The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).

\rm m =(y_2-y_1)/(x_2-x_1)

We have two points:

(-10, 1) and (0, -4)

The slope:

\rm m =(-4-1)/(0-(-10))

m = -5/10

m = -1/2

Thus, the slope of the line passing through (-10, 1) and (0, -4) is -1/2 the answer is -1/2.

Learn more about the slope here:

brainly.com/question/3605446

#SPJ2

Can answer this
1/2 + 2/5=​

Answers

Answer:

9/10 or 0.9

Step-by-step explanation:

1/2 + 2/5 =

1 × 5 + 2 × 2/2 × 5

5 + 4 = 10

9/10 or 0.9

InFraction=9/10

InDecimal=0.9

Thus,The answer is 9/10 or 0.9

-TheUnknownScientist

Answer:

9/10 or 0.9.

Step-by-step explanation:

1/2 + 2/5 =

5/10 + 4/10 =

5 + 4/10 =

9/10

Subtract and write the difference in simplest form 12 5/8 - 7 1/3

Answers

Answer:

5 7/24

Step-by-step explanation:

Given the following mathematical expression;

12 5/8 - 7 1/3

First of all, we would subtract the whole numbers;

12 5/8 - 7 1/3 = (12 - 7) 5/8 - 1/3

12 5/8 - 7 1/3 = 5 [5/8 - 1/3]

Next, we subtract the fractions from each other;

5/8 - 1/3

Lowest common multiple (lcm) = 24

5/8 - 1/3 = (15 - 8)/24

5/8 - 1/3 = 7/24

Combining the two parts, we have;

12 5/8 - 7 1/3 = 5 7/24

A researcher wishes to conduct a study of the color preferences of new car buyers. Suppose that 50% of this population prefers the color green. If 14 buyers are randomly selected, what is the probability that exactly 12 buyers would prefer green

Answers

Answer:

The probability that exactly 12 buyers would prefer green

=0.00555

Step-by-step explanation:

We are given that

p=50%=50/100=0.50

n=14

We have to find the probability that exactly 12 buyers would prefer green.

q=1-p

q=1-0.50=0.50

Using binomial distribution formula

P(X=x)=nC_r p^r q^(n-r)

P(x=12)=14C_(12)(0.50)^(12)(0.50)^(14-12)

P(x=12)=14C_(12)(0.50)^(12)(0.50)^2

P(x=12)=14C_(12)(0.50)^(14)

P(x=12)=(14!)/(12!2!)(0.50)^(14)

P(x=12)=(14* 13* 12!)/(12!2* 1)(0.50)^(14)

P(x=12)=91\cdot (0.50)^(14)

P(x=12)=0.00555

Hence, the probability that exactly 12 buyers would prefer green

=0.00555

suzi starts her hike at a elevation if -225 below sea level. When she reaches the end of the hike, she is still nelow sea level at -127 feet. What was the vhange in elevation from the beginning of Suzi's hike to the end of the hike?

Answers

The change is elevation is 98 feet.

There are a couple different ways to get this answer. You could:
A. Subtract 127 from (positive) 225, to get the height difference. Or...
B. Subtract the starting height from the ending height (-127 - (-225)) which would also give you the height difference.

I hope this helps!