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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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At the movie theater, child admission is $5.20 and adult admission is $8.60. On Friday, 132 tickets were sold for a total sales
V125BC [204]

Answer:

60 child tickets and 72 adult tickets

Step-by-step explanation:

Let x denote the number of child tickets sold and y the number of adult tickets sold. The problem involves solving the following system of linear equations; x+y=132 and 5.2x+8.6y=931.2. Using technology to solve this simultaneous equation yields; x= 60, y =72

3 0
3 years ago
Read 2 more answers
Help please!!!!!! Thank you
ivolga24 [154]

Answer:

1/4

Step-by-step explanation:

Well see how far each points are from each other.

Start at the red triangle and go up 1, go to the right 4.

<em>Thus,</em>

<em>the rise/run is 1/4.</em>

<em />

<em>Hope this helps :)</em>

7 0
3 years ago
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Write five numbers that round to 360 when rounded to the nearest ten
OleMash [197]
355, 356, 357, 358, 359
5 0
3 years ago
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If 180° &lt; α &lt; 270°, cos⁡ α = −817, 270° &lt; β &lt; 360°, and sin⁡ β = −45, what is cos⁡ (α + β)?
eduard

Answer:

cos(\alpha+\beta)=-\frac{84}{85}

Step-by-step explanation:

we know that

cos(\alpha+\beta)=cos(\alpha)*cos(\beta)-sin(\alpha)*sin(\beta)

Remember the identity

cos^{2} (x)+sin^2(x)=1

step 1

Find the value of sin(\alpha)

we have that

The angle alpha lie on the III Quadrant

so

The values of sine and cosine are negative

cos(\alpha)=-\frac{8}{17}

Find the value of sine

cos^{2} (\alpha)+sin^2(\alpha)=1

substitute

(-\frac{8}{17})^{2}+sin^2(\alpha)=1

sin^2(\alpha)=1-\frac{64}{289}

sin^2(\alpha)=\frac{225}{289}

sin(\alpha)=-\frac{15}{17}

step 2

Find the value of cos(\beta)

we have that

The angle beta lie on the IV Quadrant

so

The value of the cosine is positive and the value of the sine is negative

sin(\beta)=-\frac{4}{5}

Find the value of cosine

cos^{2} (\beta)+sin^2(\beta)=1

substitute

(-\frac{4}{5})^{2}+cos^2(\beta)=1

cos^2(\beta)=1-\frac{16}{25}

cos^2(\beta)=\frac{9}{25}

cos(\beta)=\frac{3}{5}

step 3

Find cos⁡ (α + β)

cos(\alpha+\beta)=cos(\alpha)*cos(\beta)-sin(\alpha)*sin(\beta)

we have

cos(\alpha)=-\frac{8}{17}

sin(\alpha)=-\frac{15}{17}

sin(\beta)=-\frac{4}{5}

cos(\beta)=\frac{3}{5}

substitute

cos(\alpha+\beta)=-\frac{8}{17}*\frac{3}{5}-(-\frac{15}{17})*(-\frac{4}{5})

cos(\alpha+\beta)=-\frac{24}{85}-\frac{60}{85}

cos(\alpha+\beta)=-\frac{84}{85}

4 0
3 years ago
the temperature in an experiment is increased at a constant rate over a period of time until the temperature reaches 0 degrees c
dsp73

Answer:

x = 28 (So it takes 28 hours for the temperature to reach 0°C.)

y = -70 (So the temperature when the experiment begins is −70°C.)

Step-by-step explanation:

To find the the x value, you remove the y value or replace it with 0.

0 = 5/2x - 70

Next you move the variable.

70 (2/5) = x           (multiply 70 by 2 to get 140 and divide that by 5)

And now you simplify to get:

28

To find the y value, you remove the x value or replace it with 0.

y =  0 - 70

And now you simplify to get:

-70

x = 28

y = -70

7 0
3 years ago
Read 2 more answers
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