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sashaice [31]
3 years ago
10

the number of grams a woman should eat in a day to maintain her weight is proportional to her weight. a woman weighing 102 pound

s should eat only 34 grams of fat in a day to maintain her weight, at this rate how many grams of fat should a woman that weighs 180 pounds eat in a day to maintain her weight
Mathematics
1 answer:
vitfil [10]3 years ago
7 0
Given:
grams of fat : 34 grams TO weight of woman : 102 pounds
grams of fat : ? TO weight of woman : 180 pounds

This is a proportion problem: 34 grams to 102 pounds.

We first have to convert a unit of measure to another to maintain uniformity of measure. let us convert pounds to grams:

102 pounds * 453.592 grams / pound = 46,266.384 grams
180 pounds * 453.592 grams / pound = 81,646.560 grams

34 grams to 46,266.384 grams = x grams to 81,646.560 grams

proportion: a:b = c:d where ad = bc

34 grams * 81,646.560 grams = x * 46,266.384 grams
2,775,983.04 grams² = x * 46,266.384 grams
2,775,983.04 grams² ÷ 46,266.384 grams = x
60 grams = x 

A woman weighing 180 pounds should eat 60 grams of fat to maintain her weight.
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3 years ago
brooke found the equation of the line passing through the points (-7,25) and (-4,13) in slope-intercept form as follows​
Goryan [66]

Answer:

The equation of the line passing through the points (-7,25) and (-4,13) in slope-intercept form is \mathbf{y=-4x-3}

Step-by-step explanation:

Equation of line passing through the points (-7,25) and (-4,13) in slope-intercept form.

The general equation of slope-intercept form is: y=mx+b

First we need to find slope

The formula used for finding slope is: Slope=\frac{y_2-y_1}{x_2-x_1}

We are given: x_1=-7, y_1=25, x_2=-4, y_2=13

Putting values in formula and finding slope

Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{13-25}{-4-(-7)}\\Slope=\frac{13-25}{-4+7}\\Slope=\frac{-12}{3}\\Slope=-4

So, slope m= -4

Now finding y-intercept

Using slope m=-4 and point (-7,25) we can find y-intercept

y=mx+b\\25=-4(-7)+b\\25=28+b\\b=25-28\\b=-3

So, y-intercept b =-3

Now, the equation of required line having slope m=-4 and  y-intercept b=-3 is:

y=mx+b\\y=-4x-3

So, the equation of the line passing through the points (-7,25) and (-4,13) in slope-intercept form is \mathbf{y=-4x-3}

3 0
3 years ago
For the graph 2x - 3y - 7 = 0 <br> determine the coordinates of the axes intercepts.
Sliva [168]

Answer:

X intercept: (7/2, 0)

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Now starting back to 2x-3y=7

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8 0
2 years ago
In 2002, the Bookstore sold 1000 paperback books and 1500 hardback books. In 2003, the store sold 15% more paperback books and 5
ratelena [41]
Given:
2002 sold 1000 paperback books and 1500 hardback books for a total of 2,500 books.

2003 sold 15% more paperback books and 5% more hardback books.
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7 0
3 years ago
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