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damaskus [11]
2 years ago
11

4 days ago the gas tank on Ryan's boat was filled with 30 gallons of gasoline today he has 8 gallons of gasoline what is the mea

n change in gasoline in gallons per day

Mathematics
2 answers:
natta225 [31]2 years ago
8 0
30-8=22
22/4= 5.5
the mean change is -5.5 gallons a day
umka2103 [35]2 years ago
7 0
So I belive you would divide 8 by 30 then subtract 8 :)
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Jack works after school. Each day he is paid a set amount, plus an hourly wage. Look at the table. Choose the linear function f
daser333 [38]

Answer:

A. f(x) = 10x + 8

Step-by-step explanation:

The equation in slope-intercept form, f(x) = mx + b, can be created to be used in finding Jack's pay. We need to find the slope (m) and the y-intercept (b) of the linear function.

Using two points (1, 18), and (1.5, 23), find the slope (m):

Slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{23 - 18}{1.5 - 1} = \frac{5}{0.5} = 10

Find b, by substituting x = 1, f(x) = 18, and m = 10 into f(x) = mx + b.

18 = (10)(1) + b

18 = 10 + b

Subtract 10 from each side

18 - 10 = b

8 = b

b = 8

Substitute m = 10 and b = 8 into f(x) = mx + b.

✅Thus, the linear function that can be used to find Jack's pay would be:

f(x) = 10x + 8

7 0
3 years ago
If y varies directly as x, and y = 42 as x = 6, find y for the x-value 3
mojhsa [17]
Y=42  Y=?
X=6    X=3

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3 0
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Dillon can buy a fixed-rate bond with a 4% coupon, a $10,000 principal, and five years left to maturity or a TIPS with the same
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The sum of three consecutive even numbers is 552. What is the 1st number?
wariber [46]

Answer:

Let 2n = the first of three consecutive even numbers, where n is an integer.

Let 2n + 2 = the second of three consecutive even numbers, and

Let 2n + 4 = the third of three consecutive even numbers.

We're given that "sum of three consecutive even numbers is 552." We can translate this English sentence mathematically into the following equation to be solved for n:

2n + (2n + 2) + (2n + 4) = 552

Removing the parentheses, we have:

2n + 2n + 2 + 2n + 4 = 552

Now, by the Commutative Law of Addition, i.e., a + b = b + a, we have on the left side of the equation:

2n + 2n + 2n + 2 + 4 = 552

Now, collecting like-terms on the left, we get:

6n + 6 = 552

To solve for the variable n, We now begin isolating n on the left side by subtracting 6 from both sides as follows:

6n + 6 - 6 = 552 - 6

6n + 0 = 546

6n = 546

Now, divide both sides by 6 to finally solve for n:

(6n)/6 = 546/6

(6/6)n = 546/6

(1)n = 91

n = 91

Therefore, the first of three consecutive even numbers, 2n, is:

2n = 2(91)

= 182

The second of three consecutive even numbers is:

2n + 2 = 2(91) + 2

= 182 + 2

= 184

The third of three consecutive even numbers is:

2n + 4 = 2(91) + 4

= 182 + 4

= 186

CHECK:

2n + (2n + 2) + (2n + 4) = 552

182 + 184 + 186 = 552

552 = 552

Therefore, the desired and first of three consecutive even numbers is indeed 2n = 182.

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I think its because log e is ln so ln is a natural logarithm.
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