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Kisachek [45]
3 years ago
12

When eating out, it is customary to tip your server at least 15% of the cost of your meal. The graph shows a 15% tip, t, for a m

eal that costs m dollars.
Each of the following sets of numbers represents dollars. Assuming the graph is correct, which set of numbers is most appropriate to label the seven tick marks along the vertical axis (15% tip)?

Question 5 options:

15, 30, 45, 60, 75, 90, 105


1.50, 3, 4.50, 6, 7.50, 9, 10.50


5, 10, 15, 20, 25, 30, 35


10, 20, 30, 40, 50, 60, 70

Mathematics
1 answer:
Marina86 [1]3 years ago
7 0

Answer:

1.50, 3, 4.50, 6, 7.50, 9, 10.50

Step-by-step explanation:

The x axis represents the amount of money the meal (without tip) costs.

The question is asking what numbers should label the tick marks on the y-axis given that we are assuming a 15% tip.

So the question is really easy to solve. We see our first point is at (1,1) on the coordinate plane which has the meal costing $10. All you have to do to find the tip is to multiply $10 x (0.15%) = 1.50...

So 1.50 should label the first tick mark on the y-axis. You can do the same for all of the numbers. But only one answer choice gives 1.50 as an option, so answer choice 'C' is correct!

Hope this helps, let me know if you need further or better explanations!

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Kazeer [188]

Answer:

off of 3890

Step-by-step explanation:

8 0
3 years ago
Suppose cot(theta) = 5/12, where pi < theta < 3pi/2. What is sin(theta)?
trasher [3.6K]

Answer:

- 12 /13

Step-by-step explanation:

Given that:

Cot(θ) = 5 /12 ;

Recall ; cot θ = 1 / tan θ ; tan θ = sin θ / cos θ

Hence ;

tan θ = 1 / cot θ

tan θ = 1 ÷ (5 / 12)

tan θ = 1 * 12 /5 = 12/5

Tan θ = opposite / Adjacent = 12 /5

Sin θ = opposite / hypotenus

Hypotenus = √(opposite² + adjacent²)

Hypotenus = √12² + 5²

Hypotenus = √(144 + 25)

Hypotenus = √169

Hypotenus = 13

Hence,

Sin θ = opposite / hypotenus = 12 / 13

pi < theta < 3pi/2 lies in the 3rd quadrant ; SinΘ will be negative ;

Sin θ = - 12 /13

6 0
3 years ago
Read 2 more answers
The length and width of a rectangular room are measured to be 3.955±0.005m. Calculate the area of the room and its uncertainty i
Margarita [4]

Answer:

The area of the room and its uncertainty in square meters is:

15.642±0.040 m^2

Step-by-step explanation:

We know the area of a rectangular room is the multiplication of the length and width:

Area= 3.955m*3.955m\\Area= 15.642 m^2

Now we need to know the uncertainty, the uncertainty of a multiplication is:

\frac{δ_a}{|Area|} =\frac{δ_L}{|L|}+\frac{δ_W}{|W|} (1)

δ_A: Area uncertainty

δ_L: Length uncertainty

δ_W: Width uncertainty

A: Area of the room

L: Length

W: Width

Clearing the uncertainty of the area:

δ_A=(\frac{δ_x}{|x|}+\frac{δ_y}{|y|})*Area (2)

δ_A=(\frac{0.005}{|3.955|}+\frac{0.005}{|3.955|})*15.642 m^2

δ_A= 0.040 m^2

The area of the room and its uncertainty in square meters is:

15.642±0.040 m^2

6 0
3 years ago
What’s the x and y intercept of 8x+5y=-48
Anuta_ua [19.1K]

Step-by-step explanation:

8x + 5y =  - 48 \\  \\ at \: x = 0 \\  \\ 8 \times 0 + 5y =  - 48 \\  \\  \therefore \: 5y  = - 48 \\  \\  \therefore \: y  =  \frac{ - 48}{5}  \\  \\ \therefore \: y  - intercept =   - 9.6 \\  \\ at \: y = 0 \\  \\ 8 x + 5 \times 0 =  - 48 \\  \\  \therefore \:8x  = - 48 \\  \\  \therefore \: x  =  \frac{ - 48}{8}  \\  \\ \therefore \: x - intercept =   -6 \\  \\

4 0
4 years ago
Find two numbers with a sum of 20 and a difference of 14.
lutik1710 [3]
The answers are 17 and 3

17 - 3 = 14
17 + 3 = 20
4 0
4 years ago
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