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PolarNik [594]
3 years ago
7

A recipe for 8 apple dash cinnamon muffins calls for 1 cup of flour. The number of muffins that can be made varies directly with

the amount of flour used. There are 1 and three fourths cups of flour available. How many muffins can be​ made?
Mathematics
1 answer:
Brilliant_brown [7]3 years ago
6 0

Answer:

you can make 14 muffins

Step-by-step explanation:

To get this answer you first need to know that 1 cup makes 8 muffins. Next know that there's 1 3/4 cups of flour. Because you know that 1 cup makes 8 muffins you need to figure out how many muffins 3/4 a cup of flour can make. To do this you divide 8 by 4. Hence 8 divided by 4 is 2. So know you know that for every 1/4 cup you can make 2 muffins. Now since there's 3/4 cup of flour you then multiply 2 by 3 which is 6. Now you have to add 1 cup ( 8 muffins) to 3/4 cup ( 6 muffins ) of flour which then equals 14. You then get the answer , 1 3/4 cups of flour can make 14 muffins. Hope this helped ;)

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Write the general equation for the circle that passes through the points (-5,0), (0.4), and (2,4).
Advocard [28]

Answer:

(x-1)^2+(y+19/8)^2=2665/64

Step-by-step explanation:

The general equation of a circle is

(x - h)^2 + (y - k)^2 = r^2

Substituting the values of the 3 given points:

(-5 - h)^2 + (0 - k)^2 = r^2

(0 - h)^2 + (4 - k)^2 = r^2

(2 - h)^2 + (4 -k)^2 = r^2

Subtracting the second equation from the first:

(-5-h)^2 - h^2 + k^2 - (4 - k)^2 = 0

25 + 10h + h^2 - h^2 + k^2 - 16 + 8k - k^2 = 0

10h + 8k = -9  ------------ (A).

Subtract the third equation for the second:

h^2 - (2 - h)^2 + 0 = 0

h^2 - 4 + 4h - h^2 = 0

4h = 4

h = 1.

Substituting for h in equation A:

10 + 8k = -9

8k = -19

k = -19/8

So r^2 = (-5-1)^2 + (0 + 19/8)^2 =

36  + 361/ 64

= 2665/64

7 0
3 years ago
The Red Line Below is Parallel To which of the following?
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Answer:

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Step-by-step explanation:

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I need help with this right now. Please.
ZanzabumX [31]

Answer:


Step-by-step explanation:

Part D

Do part d first. That gives you a big hint.

The height of a is 2 units. The height of d = 6 units. Therefore the heights are related as h_b / h_a = 3/1

Now go back and do A

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Call the coordinates of B = (x,y)

Call the coordinates of A = (x',y')

So it looks like you are going from A to B

x = 3x'

y = 3y'

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You are going in the opposite direction. You are going from B to A

x' = x/3

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Part C

The scale factor to go from B to A is 1/3

The scale factor to go from A to B  is 3

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3 years ago
If 20% of a = b, then b% of 20 is same as?
serg [7]

20\%\text{ of } a=b \Longleftrightarrow0.2a=b\\\\b\%\text{ of } 20 \Longleftrightarrow \dfrac{b}{100}\cdot20\\\\\dfrac{b}{100}\cdot20=\dfrac{b}{5}=\dfrac{0.2a}{5}=\boxed{\boxed{a}}

3 0
4 years ago
The graphed line shown below is y=-3x+6...Which equation, when graphed with the given equation, will form a system that has no s
trasher [3.6K]

Answer:

The equation, when graphed together with the line y=-3x +6, which will form a system of equations with no solution is y=-3(x +6), meaning the second option on the picture.

Step-by-step explanation:

hope this helps!

6 0
3 years ago
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