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goblinko [34]
3 years ago
7

Need help with this one as well I would be very grateful please need help !

Mathematics
1 answer:
hram777 [196]3 years ago
8 0
You are given two x and y pairs: (100,45) and (570,162.5)
First solve for the slope, m.

m = (162.5 - 45) / (570 - 100)
m = 117.5 / 470
m = 0.25

Not only is "m" the slope but it is the rate (dollars per minute) in the question. So it's 25 cents per minute to use the phone.
After imputing "m"  the linear equation looks like this:
y = 0.25x + b

Use either point as (x,y) to solve for the y-intercept "b". I'll use (100,45)

45 = 0.25(100) + b
45 = 25 + b
45 - 25 = b
20 = b

Not only is "b" the y-intercept but it is also always the flat fee added on to linearly increasing cost questions like this.

Final equation is:
y = 0.25x + 20

Part B.) If 939 minutes are used. Just put that in for x and solve for y.

y = 0.25(939) + 20
y = 234.75 + 20
y = 254.75

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Serenity has 2\frac{1}{2} 2 1 ​ cups of dough to make dumplings. If she uses \frac{3}{4} 4 3 ​ cup of dough for each dumpling, h
BARSIC [14]

3 dumplings can be made by Serenity

<em><u>Solution:</u></em>

Given that,

Serenity has 2\frac{1}{2} cups of dough to make dumplings

She uses \frac{3}{4} cup of dough for each dumpling

To find: Number of whole dumplings made

From given information,

\text{Total cups of dough } = 2\frac{1}{2} = \frac{2 \times 2+1}{2} =\frac{5}{2}

\text{Cups of dough for 1 dumpling } = \frac{3}{4}

To find the number of whole dumplings made, we can divide the total cups of dough by cups of dough for 1 dumpling

\text{Number of whole dumplings made } = \frac{\text{total cups of dough}}{\text{cups of dough for 1 dumpling}}\\\\\text{Number of whole dumplings made } = \frac{\frac{5}{2}}{\frac{3}{4}} = \frac{5}{2} \times \frac{4}{3}\\\\\text{Number of whole dumplings made } = \frac{10}{3} = 3.33 \approx 3

Thus 3 dumplings can be made

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Step-by-step explanation:

because

√(11)²+9²=√202=14,2

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