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2 years ago

Which number is the most reasonable estimated difference between 10.85 and 2 1/5?

Mathematics

1 answer:

Morgarella [4.7K]2 years ago

8 0

Answer:

10.85

Step-by-step explanation:

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Which expression is equivalent to

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A and b

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A recipe that makes eight Jamberma muffins calls for 1 1/2 teaspoons of baking powder how much baking powder is needed to make t

dimulka [17.4K]

8/ (1 1/2) = 36/x....8 muffins to 1 1/2 tsp = 36 ( 3 doz) muffins to x tsp
this is a proportion, so we cross multiply
(8)(x) = (1 1/2)(36)
8x = 3/2 * 36
8x = 108/2
8x = 54
x = 54/8
x = 6 3/4 <=== 6 3/4 tsps are needed to make 3 doz muffins

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How to solve <br> 187=1/2*17(6+X)

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The answer to 187=1/2*17(6+X) is X=16

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2 years ago

Which is larger 80% or 1/8

d1i1m1o1n [39]

So 1/8 as a percentage is 12.5%.

80% is greater than 12/5%.

So your answer would be 80%.

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2 years ago

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Find the equation of the line with slope −5 and that contains the point (−9,−5). Write the equation in the form y=mx+b and ident

Elina [12.6K]

Answer & Step-by-step explanation:

Slope-intercept form:

$y=mx+b$

m is the slope and b is the y-intercept. Insert the given slope:

$y=-5x+b$

To find the y-intercept, take the given coordinate point and insert:

$(-9_{x},-5_{y})\\\\-5=-5(-9)+b$

Solve for b:

Simplify multiplication:

$-5=45+b$

Subtract 45 from both sides:

$-50=b\\\\b=-50$

The y-intercept is -50. Insert:

$y=-5x-50$

$m=-5\\b=-50$

Use the slope formula for when you have two points:

$\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{rise}{run}$

The slope is the change in the y-axis over the change in the x-axis, or rise over run. Insert the points:

$(2_{x1},4_{y1})\\(10_{x2},2_{y2})$

$\frac{2-4}{10-2}=\frac{-2}{8}=-\frac{2}{8}=-\frac{1}{4}$

The slope is $-\frac{1}{4}$ . Insert:

$y=-\frac{1}{4}x+b$

Now follow the steps from the last problem to find the y-intercept. Choose a point and insert into the equation:

$(2_{x},4_{y})\\\\4=-\frac{1}{4}(2)+b$

Solve for b:

Simplify multiplication:

$-\frac{1}{4}*\frac{2}{1}=-\frac{2}{4}=-\frac{1}{2}$

Re-insert:

$4=-\frac{1}{2} +b$

Subtract b from both sides:

$4-b=-\frac{1}{2} +b-b\\\\4-b=-\frac{1}{2}$

Subtract 4 from both sides:

$4-4-b=-\frac{1}{2}-4\\\\-b=-\frac{1}{2}-4$

Simplify subtraction:

$-\frac{1}{2}-4=-\frac{1}{2} -\frac{4}{1} =-\frac{1}{2} -\frac{8}{2} \\\\-\frac{1}{2} -\frac{8}{2}=-\frac{9}{2}$

Re-insert:

$-b=-\frac{9}{2}$

Divide both sides by -1 to make the variable positive (can be seen as -1b):

$b=\frac{9}{2}$

The y-intercept is $\frac{9}{2}$ .

Write the equation:

$y=-\frac{1}{4}x+\frac{9}{2}$

:Done

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2 years ago