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Alecsey [184]
2 years ago
14

A gas station sells 1600 gallons of gasoline per hour if it charges $ 2.70 per gallon but only 900 gallons per hour if it charge

s $ 2.95
per gallon. Assuming a linear model
(a) How many gallons would be sold per hour of the price is $ 2.90 per gallon?
Answer:
(b) What must the gasoline price be in order to sell 1300 gallons per hour?
Answer:
Mathematics
1 answer:
kakasveta [241]2 years ago
5 0

Answer:

Look just at finding the linear model. Two points. Use price per gallon for x and gallons per hour sold for y. Your two points (x,y) are (2.15,1600) and (2.55,800).

Slope m=%281600-800%29%2F%280.15-0.55%29

m=800%2F0.40

m=2000

Using point-slope form for a line, and the lower-y point,

y-800=2000%28x-2.55%29

highlight%28y=2000%28x-2.55%29%2B800%29

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mars1129 [50]
A the 12 pack box of 1.4 ounce bars
6 0
3 years ago
A number, y, is equal to twice the sum of a smaller number and 3. The larger number is also equal to 5 more than 3 times the sma
RSB [31]

Answer:

A.

Step-by-step explanation:

<em>NOTE: The "larger number" will be referred to as y, and the "smaller number" will be referred to as x.</em>

"A number, y, is equal to twice the sum of a smaller number and 3."

This tells us that we must add our smaller number (x) to 3 within parantheses and then multiply the entire term (x+3) by 2.

y=2(x+3)

"The larger number is also equal to 5 more than 3 times the smaller number."

This tells us that we must multiply 3 against our smaller number (x) and add 5 to it.

y=3x+5

Now, to find your answer, we can put the equations in the same form as the answer choices so as to find an equivalent equation. Lets start with the first equation.

This form calls for us to have our x term first, then our y term, then our constant.

y=2(x+3)\\y=2x+6\\-2x+y=6

Now that we've gotten the equation in that form, we can see that our answer choices hold that our leading co-efficient must be positive, which we can adjust for by dividing both sides by -1.

-2x+y=6\\2x-y=-6

This makes the only possible answer choices (A) and (C).

Now, lets do our second equation. The recipe calls for the same form, again with a positive leading coefficient.

y=3x+5\\-3x+y=5\\3x-y=-5

This is only represented by choices (A) and (B).

Therefore, answer choice (A) is the only one which represents both equations.

7 0
3 years ago
What is the justification for step 2 in the solution process?12 - x = 7x +32Step 1: -X = 7x + 20Step 2: -8x = 20
HACTEHA [7]
Answer:

The subtraction property of equality

Option A is correct

Explanation:

The given equation is:

12 - x = 7x + 32

Subtract 12 from both sides

12 - 12 - x = 7x + 32 - 12

-x = 7x + 20 (Step 1)

From step 1 above, subtract 7x from both sides

-x - 7x = 7x - 7x + 20

-8x = 20 (Step 2)

Since we subtracted 7x from both sides to get step 2, the justification for step 2 is the subtraction property of equality

6 0
1 year ago
4. The following intervals were plausible population proportions for a given sample. Find the margin of error in each case.
Vedmedyk [2.9K]

Answer: a. 0.15  b. 0.03 c. 0.055 d. 0.05

Step-by-step explanation:

For plausible intervals of population proportions , the margin of error is basically half of the difference between upper limit and lower limit.

a.  Interval =  From 0.35 to 0.65

Upper limit = 0.65

Lower limit = 0.35

Difference = Upper limit- Lower limit

= 0.65-0.35=0.30

Margin of error = (Difference)÷2  =(0.30)÷2=0.15

b. Interval =  From 0.72 to 0.78

Upper limit = 0.78

Lower limit = 0.72

Difference =  0.78-0.72 = 0.06

Margin of error  =(0.06)÷2=0.03

c. Interval =  From 0.84 to 0.95

Upper limit = 0.95

Lower limit = 0.84

Difference =0.95-0.84= 0.11

Margin of error = (0.11)÷2 = 0.055

d.Interval =  From 0.47 to 0.57

Upper limit =  0.57

Lower limit =  0.47

Difference = 0.57-0.47=0.10

Margin of error = (0.10)÷2=0.05

3 0
3 years ago
A study is designed to examine the effect of doing synchronized movements (such as marching in step or doing synchronized dance
Vlada [557]

Answer:

The complete question in the graphic

A.

After synchronized exercise, it was observed that the average proximity rate has increased, which shows that the mean of the variable is positive and there is high synchronization in the groups.

.

B.

If groups with low synchronization and high effort are compared, the result of the average will be positive, so the average proximity rate will also increase after the synchronization exercise is performed.

On the contrary, if we observe the groups that have low synchronization and low effort, the mean of the variable is negative, thus the average proximity rate after performing the exercise will decrease.

(C)

considering that the total degrees of freedom is 259, it will show 260 students in the analysis.

D.

With a significance level of 5% or 0.05, the P value is less than the significance level, which leads to differentiating the mean of the scores before and after performing the combinations.

E.

With a significance level of 1% or 0.01, the p-value is higher than the significance level. With this data we can conclude that there is no difference between the results before and after the synchronized exercise

3 0
3 years ago
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