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3 years ago

1.Kori spent $46.20 on 12 gallons of gasoline. What was the price per gallon?

Mathematics

1 answer:

spin [16.1K]3 years ago

8 0

1: B $3.85

2: C The rabbit; 14 miles per hour

3: C 2 1/2 miles

1. Reason: To find the price per gallon, all you need to do is divide 46.20 by 12 to get 3.85

2. Reason: To find which animal is faster all you have to do is subtract the greater number, which is the rabbit that travels 35 miles per hour from the smaller number which is the fox that travels 21 miles.

Subtract: 35-21= 14. So the rabbit is faster by 14 miles.

3. Reason: If Randy walks 1/2 mile in every 1/5 hour, to find the much he will walk in a hour you could count up:

1/2 mile = 1/5 hour

1 mile = 2/5 hour

1 1/2 mile = 3/5 hour

2 mile = 4/5 hour

2 1/2 mile = 1 hour

So, Randy will travel 2 1/2 miles in a hour.

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Answer:

Stated below:

Step-by-step explanation:

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3 years ago

Read 2 more answers

Four Friends decided to host the grand opening of their bar on St. Patrick’s Day. They built their bars at different distances f

klio [65]

John's Bar 60 km away from Ben's Bar.
Doug's Bar is 40 km away from Kieran's Bar
John's Bar is 10 km nearer to Doug's Bar than Kieran's Bar

If I am to assume that these bar are in a liner position,

Ben's Bar Kieran's Bar John's Bar Doug's Bar
************* 60km*******************

*****************40 km ********************

*********30 km**************

Doug's Bar is 90 km away from Ben's Bar.

Ben to John = 60 km
John to Doug = 30 km
Ben to Doug = 60 + 30 = 90 km.

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3 years ago

16 2/3% of what number is 90?

zysi [14]

Answer:

540

Step-by-step explanation:

90 is 16 2/3% of 540

7 0

3 years ago

Which statement is true regarding the graphed functions? A) f(4)=g(4) B) f(4)=g(-2) C) f(2)=g(-2) D) f(-2)=g(-2)

fomenos

Answer:

Option (D)

Step-by-step explanation:

If the two points $(x_1,y_1)$ and $(x_2,y_2)$ are lying of the line.

Slope of the line represented by the function 'f' = $\frac{y_2-y_1}{x_2-x_1}$

Two points are lying on the line are (-2, 4) and (0, -2).

Slope of the line passing through these points 'm' = $\frac{4+2}{-2-0}$

m = -3

Y-intercept of the line 'b' = -2 [From the graph]

Therefore, equation of the function will be,

f(x) = (-3)x - 2

f(x) = -3x - 2

Similarly, for other function represented by the line in red,

Slope of the line passing through (-6, 0) and (0, 6) = $\frac{6-0}{0+6}$

m' = 1

Y-intercept of g(x) = 5 [From the graph]

Equation that represents the function g(x) = 1.x + 5

g(x) = x + 5

For g(x) = f(x)

-3x - 2 = x + 6

-3x - x = 2 + 6

-4x = 8

x = -2

Therefore, for x = -2 both the functions will have the value.

f(-2) = g(-2)

Option (D) will be the answer.

6 0

3 years ago

Forty-seven percent of fish in a river are catfish. Imagine scooping out a simple random sample of 25 fish from the river and ob

Alexxx [7]

Question options:

The standard deviation is 0.0998. The 10% condition is not met because there are less than 250 fish in the river.

The standard deviation is 0.0998. The 10% condition is met because it is very likely there are more than 250 fish in the river.

The standard deviation is 0.9002. The 10% condition is met because it is very likely there are more than 250 fish in the river.

The standard deviation is 0.9002. The 10% condition is not met because there are less than 250 fish in the river.

We are unable to determine the standard deviation because we do not know the sample mean. The 10% condition is met because it is very likely there are more than 250 fish in the river

Answer:

The standard deviation is 0.0998. The 10% condition is met because it is very likely there are more than 250 fish in the river

Explanation:

Formula to calculate standard deviation = √p(1-p)/n

Given p= population proportion

n= sample size

From the question,

We are given p(population proportion of catfish in the river)= 0.47

n(sample size of fish collected from river) = 25

The standard deviation using the formula above = √0.47(1-0.47)/25

= 0.0998

The 10% condition demands that a sample size be not less than 10% of the population

To check if the 10% condition was met, we know that a river will likely have up to 250 fish in it and so,

10% of 250= 0.10×250=25 fish

Therefore the option B chosen is correct

8 0

3 years ago