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jeka57 [31]
3 years ago
12

A batch of cookies calls for 3/4 cup of flour. You want to make 1/2 of a batch. How much flour do you need?

Mathematics
1 answer:
irga5000 [103]3 years ago
8 0
<h2>Answer</h2>

3/8 of cup

<h2>Explanation</h2>

To solve this we are going to use a proportion. We know that to make 1 batch of cookies we need 3/4 cup of flour, so to make 1/2 batch of cookies we'll need x cups of flour. In other words:

\frac{1batch----->\frac{3}{4}cup.flour}{\frac{1}{2}batch----->xcup.flour}

Now, we can express our proportion as a fraction and solve for x:

\frac{1}{\frac{1}{2} } =\frac{\frac{3}{4} }{x}

x=(\frac{3}{4} )(\frac{1}{2} )

x=\frac{3}{8}

You will need  3/8 of cup flour to make 1/2 of a bath of cookies.

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3 years ago
true or false? the circumcenter of a triangle is the center of the only circle that can be inscribed about it
MissTica

Answer:

TRUE

Step-by-step explanation:

The circumcenter of a triangle is the center of the only circle that can be circumscribed about it

6 0
3 years ago
The center of a circle is 5 units below the origin, and the radius is 10 units. what is the equation of the circle?
levacccp [35]

Answer:

x² + (y + 5)² = 100

Step-by-step explanation:

If the center of the circle is 5 units below the origin, its x coordinate is 0 and its y-coordinate is -5. So, the center of the circle is at (0, -5).

Using the equation of a circle with center (h, k)

(x - h)² + (y - k)² = r² where r = radius of the circle.

Given that r = 10 units, and substituting the values of the other variables into the equation, we have

(x - h)² + (y - k)² = r²

(x - 0)² + (y - (-5))² = 10²

x² + (y + 5)² = 100

which is the equation of the circle.

6 0
3 years ago
Read 2 more answers
Which points are on the graph of g(x) = (1/5)^x
11111nata11111 [884]

Answer:

A) The point( -1 , 5)  is satisfies the  given graph  g(x) = (\frac{1}{5} )^{x}

B) The point( 3 , 1/125)  is satisfies the  given graph  g(x) = (\frac{1}{5} )^{x}

Step-by-step explanation:

<u><em>Explanation:-</em></u>

Given graph  

               y =      g(x) = (\frac{1}{5} )^{x}

Put the point ( -1 , 5)

Put y =5 and x =-1

            5 = (\frac{1}{5} )^{-1} = 5

The point( -1 , 5)  is satisfies the  given graph

ii)

Given graph  

               y =      g(x) = (\frac{1}{5} )^{x}

             \frac{1}{125}  = (\frac{1}{5} )^{3} = \frac{1}{125}

The point( 3 , 1/125)  is satisfies the  given graph  g(x) = (\frac{1}{5} )^{x}

                 

7 0
3 years ago
The longer leg of a right triangle is 4 more than the short leg. The hypotenuse is eight less than the sum of the 2 legs.
Crazy boy [7]

Answer:

SteLet a = short leg of the right triangle, b = the longer leg, and c = the hypotenuse.

The longer leg of a right triangle is 4inches longer than the shorter leg: b = a + 4

The hypotenuse is 8inches longer than the shorter leg:  c = a + 8

 

Use the Pythagorean Theorem:

 

a2 + b2 = c2

a2 + (a+4)2 = (a+8)2

a2 + a2 + 8a + 16 = a2 + 16a + 64

a2 - 8a - 48 = 0

 

Factors to:

 

(a-12)(a+4) = 0

a = 12, -4

 

Since we can't have a side of -4, a = 12

Shorter Leg = 12 inches

Longer Leg = 12 + 4 = 16 inches

Hypotenuse = 12 + 8 = 20 inches

6 0
3 years ago
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