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miv72 [106K]
3 years ago
12

it takes 2 1/2 cups of sugar to make 4 dozen sugar cookies. How much sugar is needed to make 120 sugar cookies

Mathematics
1 answer:
avanturin [10]3 years ago
8 0

Answer:

6.25 cups of sugar

Step-by-step explanation:

Let's make a proportion expression:

2.5/48 = x/120

Let x be the amount of sugar needed to make 120 sugar cookies.

Cross multiply:

120*2.5=48x

48x=300

x=6.25

So, you would need 6 1/4 cups or 6.25 cups of sugar to make 120 sugar cookies.

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Answer:

S = 380 - 380*80%

Step-by-step explanation:

Given:

  • The original price of the desk: $380
  • Discount: 20%

So, the new price of the desk after discounting is:

380(100% - 20%)

= 380*80%

= 304$

The amount of money saved: 380 - 304 = 76$

Hence, the equation can be used to determine the amount of money saved is:

Saving = 380 - 380*80%

Hope it will find you well.

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Answer:

Combine like terms

Step-by-step explanation:

The first step in such equations is to simplify the equation which is done most often by combining like terms, and by combining like terms i mean for example:

1 + 5 + 3x = 4y + z

You will combine the like terms (those that can be added or subtracted):

6 + 3x = 4y + z

In our example, combining terms would be adding 2x/3 and 1x/3 to give

3x/3 + 2 = 5

The equation is now simple and easy to solve as you simplify 3x/3 to 1x and then proceed to rearrange the equation to yield the value of x

Hope this helps!

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3 years ago
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Step-by-step explanation:

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If sin(x) = squareroot 2 over 2 what is cos(x) and tan(x)
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Answer:

cos(x) = square root 2 over 2; tan(x) = 1

Step-by-step explanation:

\frac{\sqrt{2} }{2}

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\frac{1}{\sqrt{2} }

Therefore,

sin(x)=\frac{1}{\sqrt{2} }

The side opposite the reference angle measures 1, the hypotenuse measures square root 2.  That makes the reference angle a 45 degree angle.  From there we can determine that the side adjacent to the reference angle also has a measure of 1.  Therefore,

cos(x)=\frac{1}{\sqrt{2} }=\frac{\sqrt{2} }{2} and

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Describe the relationship. Check all that apply.
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