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3 years ago

Andy drove 825 miles to California. The trip takes him 17 hours. He uses 38 gallons of gas on the trip, which cost him $125

Mathematics

1 answer:

babunello [35]3 years ago

3 0

48 is the average speed

he uses 7.3 dollars per hour

6.6 per mile

21.7 gallons per mile

3.20 dollars per gallon of gas

these are the answers I could get

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Mr .Baker has baked some muffins. If he packs them in boxes of 4, he will have 3 left over. If he packs them in boxes of 5, he w

babunello [35]

Answer:

$\boxed{43}$

Step-by-step explanation:

I think the easiest way to solve this problem is by brute force: trial and error.

We must find numbers that when divided by

4 leave 3 (4n + 3)
5 leave 3 (5n + 3)
6 leave 1 (6n + 1)

Here is a list of multiples of the integer n that satisfy the three conditions. $\begin{array}{c|ccc}\mathbf{n} & \mathbf{4n+ 3} & \mathbf{5n + 3} & \mathbf{6n + 1}\\1 & 7 & 8 & 7\\2 & 11 & 13 & 13\\3 & 15 & 18 & 19\\4 & 19 & 23 & 25\\5 & 23 & 28 & 31\\6 & 27 & 33 & 37\\7 & 31 & 38 & \mathbf{43}\\8 & 35 & \mathbf{43} & 49\\9 & 39 & 48 & 55\\10 & \mathbf{43} & 53 & 61\\\end{array}\\\text{The only number that is common to all three lists is $\mathbf{43}$.}\\\text{The smallest possible number of muffins Mr. Baker could have baked is $\boxed{\mathbf{43}}$.}$

Check:

$43 \div 4 = 10R3\\43 \div5 = 8R3\\43 \div 6 = 7R1$

OK .

6 0

3 years ago

How do you sove 673 times 86?

pochemuha

673
x 86
------------
4038
+ 53840
------------
57878

6 0

3 years ago

The graphs below have the same shape. What is the equation of the blue<br> graph?

hoa [83]

Answer:

Step by Step Explanation

It is because the y intercept is -2 and here since it is a curve, it is ()^2.

7 0

3 years ago

What is the equation of the line in point slope form given a slope of -3 and a point of (-2,-5)?

Lelu [443]

Answer:

y = -3x - 11

Step-by-step explanation:

Use the given slope and point in the point-slope equation. Solving this will give us the y-intercept equation.

Point-slope formula: y - y = m(x - x)

Plug in the slope and point

y - (-5) = -3(x - (-2))

Subtracting negatives will make them positive. Multiply out the -3 to what is in the parentheses.

y + 5 = -3x - 6

Subtract the 5 from both sides

y = -3x - 11

The equation of the line is y = -3x - 11

7 0

3 years ago

What is the range of f?

zhannawk [14.2K]

Answer: $[-3,7]$

Step-by-step explanation:

The range of a function is the set of y-values

4 0

2 years ago