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My name is Ann [436]
3 years ago
7

Yolanda buys

Mathematics
1 answer:
Stells [14]3 years ago
3 0

Answer:

The unit price is 4.15 dollars per gallon

Step-by-step explanation:

- Yolanda buys 5.8 gallons of gas for $24.07

- We need to find the unit price in dollars per gallon

- Unit price means the price of each gallon

∵ The number of gallons = 5.8 gallons

∵ The price of the gallons = $24.07

∵ The unit price = the amount of money ÷ number of gallons

∴ The unit price = 24.07 ÷ 5.8

∴ The unit price = 4.15 dollars per gallon

* <em>The unit price is 4.15 dollars per gallon</em>

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Write an equation in point-slope form of the line that passes through the point 4,-1and has slope of -5
Basile [38]

Answer:

y=-5+19

Step-by-step explanation:

First of all, remember what the equation of a line is:

y = mx+b

Where:

m is the slope, and

b is the y-intercept

To start, you know what m is; it's just the slope, which you said was -5. So you can right away fill in the equation for a line somewhat to read:

y=-5x+b.

Now, what about b, the y-intercept?

To find b, think about what your (x,y) point means:

(4,-1). When x of the line is 4, y of the line must be -1.

Because you said the line passes through this point, right?

Now, look at our line's equation so far: . b is what we want, the -5 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the the point (4,-1).

So, why not plug in for x the number 4 and for y the number -1? This will allow us to solve for b for the particular line that passes through the point you gave!.

(4,-1). y=mx+b or -1=-5 × 4+b, or solving for b: b=-1-(-5)(4). b=19.

6 0
2 years ago
What is the approximate length of minor arc XZ
Yakvenalex [24]

Answer:

3.7

Step-by-step explanation:

2r(pi)(∅/360)

2*3*(pi)*(70/360)

6*(pi)*(0.19444...)

3.665191429188092

3.7

3 0
3 years ago
Select the procedure that can be used to show the converse of the
Vera_Pavlovna [14]

Answer:

The correct option is C

Step-by-step explanation:

I attached an image that forms the complete question.

The converse Pythagorean theorem states that, "If the square of the longest side of a triangle is equal to the square of the other two sides, then the triangle is a right triangle."

That is if c is the longest side of a triangle and then a and b are the other sides, then if,

c² = a² + b², the triangle is a right triangle.

Looking at all the options, option C fits the theorem well. Because

3² + 4² = 5² implies the triangle is a right triangle and the converse theorem is established.

The option D also looks close, but it's not correct because you can just draw any two sides and put the right angle in between them. The longest is always the part of the triangle that is opposite to the right angle, 90°. If for instance, you draw 3 and 5 then put the right angle in between them, 4 will take the position of the longest side which is wrong.

Therefore, the correct option is c.

7 0
3 years ago
Need Help REALLY REALLY REALLY BADLY! Lol Hi :) I really need help with this statistics question within 10 minutes. I do not kno
lyudmila [28]
The key to this question is calculating the percentage of students within each category (honor roll or non-honor roll) who received the class requested. We need to calculate the ratio of students who received the class they requested and who did not for both honor roll and non-honor roll students :

Honor Roll :

215 + 80 = 295 total honor roll students 

215/295 = 72.88% = percentage of honor roll students who received class requested

80/295 = 27.12% = percentage of honor roll students who did not receive class requested

Non-Honor Roll :

125 + 80 = 205 total non-honor roll students 

125/205 = 60.98% = percentage of non-honor roll students who received class requested

80/205 = 39.02% = percentage of non-honor roll students who did not receive class requested

72.88% of honor roll students received the preferred class as opposed to only 60.98% of non-honor roll students. Therefore, there is an advantage. 
4 0
3 years ago
4x + 5 – 2x = 15. Solve for c
Vinil7 [7]

Answer: x=5

Step-by-step explanation:

7 0
3 years ago
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