A company rents diving equipment for a fixed amount plus a fee based on the number of days for which the equipment is rented. The table below shows the total charges, y, in dollars, of renting diving equipment for x number of days:Diving Equipment Rentals
Number of Days
(x) Total Charges (dollars)
(y)
0 5
1 20
2 35
What is the fixed amount charged?
$2
$5
$15
$20
Answers
The answer is B. $5
*i got an 100 on this test so i'm positive
Notice how the description says "a fixed amount plus a fee based on the number of days." And the question only asks for the fixed amount, not including the fee.
For the first rental, they had only been renting but had not kept it for a day yet, so the fee is not added and there is only the cost of the fixed amount for the equipment, which is $5. This shows that when they keep the equipment for a day, the fee is $10 added on each day the equipment is kept.
So, taking away the fee for the numbers of days, the points would be (0,5), (1,10), (2,15). Add on another $10 per day onto the y colomn and you get the table we have here.
Good luck on your quiz, hope you understood all of that :)
Answer:
B. 5
Step-by-step explanation:
To find the fixed fee, we need to make x=0. When x=0 y=5 so the fixed charge is 5.
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so
|-22|=22
Answers
Answer:
It is given that , Parallelogram ABCD is dilated to form parallelogram EFGH.
When Dilation of a geometrical shape takes place, the two→→image and Pre image will be Similar.
Parallelogram ABCD ~ Parallelogram EFGH
Since Similar shapes have , Proportional side Lengths as well as length of their Diagonal will be proportional.
So, Segment FG will be proportional to Segment BC.
The answer is gh i took the test and got it right
Answers
The ∠4 (which is equal to ∠2) and ∠13 are congruent (∠4 ≅ ∠13) because they both form part of the angles that add up to 180 degrees. In the given conditions, we have ∠2 ≅ ∠1 (given), and ∠7 and ∠13 are supplementary angles.
Supplementary angles add up to 180 degrees, so we can conclude that ∠7 + ∠13 = 180 degrees.
Now, we can use the fact that ∠2 ≅ ∠1 to deduce that ∠2 = ∠1.
Since ∠7 and ∠13 add up to 180 degrees and ∠2 = ∠1, we can deduce that ∠2 + ∠13 = 180 degrees.
This means that ∠4 (which is equal to ∠2) and ∠13 are congruent (∠4 ≅ ∠13) because they both form part of the angles that add up to 180 degrees.
Learn more about angle:
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This question is not complete, Here I am attaching the complete question: Below i am attaching the image.
In the two-column proof below, provide a reason for each statement. Given: ∠ 2 ≅ ∠7 and ∠7 and ∠13 are supplementary angles Prove: ∠4 ≅ ∠13
Answers
easy, just divide
64/3=21 and 1/3 calls per hour
6x + 4y = 2
3x + 2y = 1
A.
not enough information
B.
coincident
C.
consistent and independent
D.
inconsistent
Answers
Answer:
B. coincident
Step-by-step explanation:
An coincident system of equations means that it has infinite solutions, because one line is on the other one. This happens when their equation are the same, or their "parent" line is the same.
So, given equations are:
6x + 4y = 2 and 3x + 2y = 1
Observe that if we divide the first by 2, we have
As you can see, using the first equation, we found that it has the same "parent" equation than the second equation. In other words, they are basically the same. This means that they represent the same line, so, the system is coincident and they have infinite solutions.
After analyzing the data provided in this question one can conclude that they are coincident. For the first system equation we have: 6x + 4y = 2. If we divide everything by 2 we will get: 3x + 2y = 1. Coincident means the same line.
The answer is choice B). Coincident.
I hope it helps, Regards.
Answers
Answer:
- (x - 48)² + (y - 24)² = 64
Step-by-step explanation:
From the graph we see that
- The diameter of the circle is: d = 16 mm
- Then its radius is: r = 16 mm/ 2 = 8 mm
- The center has x-coordinate: h = 40 + 8 = 48
- Y-coordinate: k = 32 - 8 = 24
Use circle formula:
- (x - h)² + (y - k)² = r²
Substitute values to get required equation:
- (x - 48)² + (y - 24)² = 8²
- (x - 48)² + (y - 24)² = 64
Answer: (x - 2) ^2 + (y - 6) ^2 = 25