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2 years ago

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To decide if 12.5 centimeters is greater than 140 millimeters, the first step is to set up a proportion. Which of the following

proportions are correct?
A. 10mm/1cm = x/140mm
B. 1cm/10mm = 12.5cm/x
C. 10mm/1cm = 140mm/x
D. 12.5mm/1cm = 140mm/x

1 answer:

Nuetrik [128]2 years ago

4 0

The answer is The one option C

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By your cell phone contract, you pay a monthly fee plus some money for each minute you use the phone during the month. In one mo

Andrei [34K]

Answer:

(a) $y = 0.025x+15$

(b) 18.5 minutes

(c) 450.4 minutes

Step-by-step explanation:

Given

$290\ minutes = \$22.25$

$360\ minutes = \$24.00$

Solving (a): Determine the linear equation

First, we need to calculate the slope (m)

$m = \frac{y_2 - y_1}{x_2 - x_1}$

Where

$(x_1,y_1) = (290,22.25)$

$(x_2,y_2) = (360,24.00)$

So, we have:

$m = \frac{24.00 - 22.25}{360 - 290}$

$m = \frac{1.75}{70}$

Multiply through by 100

$m = \frac{1.75 * 100}{70 * 100}$

$m = \frac{175}{7000}$

Next, is to calculate the equation of the line using:

$y - y_1 = m(x - x_1)$

Recall that:

$(x_1,y_1) = (290,22.25)$

$m = \frac{175}{7000}$

$y - 22.25 = \frac{175}{7000}(x - 290)$

$y - 22.25 = \frac{175x}{7000} - \frac{175}{7000} * 290$

$y - 22.25 = \frac{175x}{7000} - \frac{50750}{7000}$

Add 22.25 to both sides

$y = \frac{175x}{7000} - \frac{5075}{700} + 22.25$

$y = \frac{175x}{7000} + \frac{-5075 + 15575}{700}$

$y = \frac{175x}{7000} + \frac{10500}{700}$

$y = 0.025x+15$

(b) Solve for y when x = 140

$y = 0.025x+15$

Substitute 140 for x

$y = 0.025 * 140 + 15$

$y = 3.5 + 15$

$y = 18.5$

(c) Solve for x when y = 26.25

$y = 0.025x+15$

Substitute 26.25 for y

$26.25 = 0.025x + 15$

Solve for 0.025x

$0.025x = 26.26 - 15$

$0.025x = 11.26$

Solve for x

$x = 11.26/0.025$

$x = 450.4\ minutes$

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2 years ago

121 meals / 11 days find the unit rate

tatyana61 [14]

Answer:

11 meals per day

Step-by-step explanation:

In order to find the unit rate all we have to do is 121/11 which is 11. Therefore its 11 meal meals per day. Have a blessed day!

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2 years ago

NEED HELP!! WILL GIVE BRAINLIEST!!

vladimir2022 [97]

The slope of the line given is -5/3

Steeper:
y= -2x+7/3
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Less steep:
y=-8/7x + 4/7
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andreev551 [17]

19,750,000
15,250,000
+ 6,945,000
---------------------
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the answer is B

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tresset_1 [31]

Answer:

Step-by-step explanation:

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