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Genrish500 [490]
3 years ago
12

Solve 1 - 12 or any question please

Mathematics
1 answer:
ZanzabumX [31]3 years ago
4 0
There two forms to write an equation in; slope-intercept form, <em /><em>y</em> = <em>mx</em> + <em>b</em>, where <em>m</em> is the slope and <em>b</em> is the <em>y</em>-intercept; and point-slope form, which is given by y-y_1=m(x-x_1), where <em>m</em> is the slope and (<em>x</em>₁, <em>y</em>₁) is a point on the line.  Given the information and instructions you have I assume you need point-slope form.  For #1, you have <em /><em>m</em> = 2 and point (3, 5).  Substitute these values in:
y-5=2(x-3)
If you need slope-intercept form, you start by using the distributive property on what you just wrote:
y-5=2*x-2*3&#10;\\y-5=2x-6
Now cancel the 5 to isolate <em>y</em>:
y-5+5=2x-6+5&#10;\\y=2x-1
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A 4-pound bag of sugar contains 454 one-teaspoon servings and costs $3.49. A batch of muffins uses 1 2 cup of sugar. How many wh
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Answer:

a) 19 batches

b) $0.18

Step-by-step explanation:

A 4-pound bag of sugar contains 4 54 one-teaspoon servings and costs $3.49. A batch of muffins uses 1/2 cup of sugar.

1 cup = 48 teaspoons

a) How many whole batches can you make if you use as much of the sugar as possible?

1 batch = 1/2 cups of sugar = 24 teaspoons of sugar

Hence,

24 teaspoons of sugar = 1 batch

454 one-teaspoon servings = x

Cross Multiply

24 × x = 1 × 454

x = 454/24

x = 18.9166666667

Approximately to whole batches = 19 batches

b) What is the cost of sugar for each batch?

454 one-teaspoon servings and costs $3.49 = 19 batches

Hence

19 batches = $3.49

1 batch = x

x= $3.49/19

x = $0.18368421052

Approximately = $0.18

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Sophie read a total of 4 books in 2 months. Then, she read 10 books in 5 months. What is the constant of proportionality?
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Answer:

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Step-by-step explanation:

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