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arsen [322]
3 years ago
13

Ellie's favorite recipe requires 3 eggs and makes 6 servings. Grace modifies the recipe by using 7 eggs and increasing all other

ingredients proportionally. What is the total number of servings the modified recipe will make?
Mathematics
1 answer:
grandymaker [24]3 years ago
8 0

The modified recipe will make 14 servings.

Step-by-step explanation:

Given,

Eggs used = 3

Servings made = 6

Ratio of eggs to servings = 3:6

Eggs used in modified recipes = 7

Let,

x be the number of servings = x

Ratio of eggs to servings = 7:x

Using proportion;

Eggs to servings :: Eggs to servings

3:6::7:x

Product of mean = Product of extreme

6*7=3*x\\42=3x\\3x=42

Dividing both sides by 3

\frac{3x}{3}=\frac{42}{3}\\x=14

The modified recipe will make 14 servings.

Keywords: ratio, proportion

Learn more about proportion at:

  • brainly.com/question/9087716
  • brainly.com/question/9056912

#LearnwithBrainly

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Jean-Pierre’s weekly restaurant bill dropped from $44.29 last weekly to $37.17 this week. Find the percent decrease. Round to th
RideAnS [48]

Answer:

16%

Step-by-step explanation:

Percent decrease means

Amount of change ÷ original amount, then × 100 to make it a percent.

44.29 is original $

37.17 is new$amount

44.29 - 37.17

= 7.12

The amount that it went down is 7.12

Percent decrease:

7.12/44.29 × 100

=0.159677 × 100

=15.9%

Round to nearest percent:

=16%

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2 years ago
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8 0
3 years ago
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What is two-thirds of 99?
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3 years ago
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7 0
3 years ago
A(t) = (t – k)(t - 3)(t - 6)(t + 3) is a polynomial function of t, where k is a constant.
mr Goodwill [35]

the absolute value of the product of the zeros of a is -108 .

<u>Step-by-step explanation:</u>

Here we have , a(t) = (t - k)(t - 3)(t - 6)(t + 3) is a polynomial function of t, where k is a constant.  Given that a(2) = 0 . We need to find the  absolute value of the product of the zeros of a . Let's find out:

Equation every factor of a(t) to zero we get:

⇒ a(t) = (t - k)(t - 3)(t - 6)(t + 3) = 0

⇒ (t - k) =0\\(t - 3)=0\\(t - 6)=0\\(t + 3) = 0

⇒ t  =k\\t =3\\t = 6\\t =- 3

But , t=2 So , k=2  . Now , the absolute value of the product of the zeros of a is :

⇒ k(3)(6)(-3)

⇒ 2(3)(6)(-3)

⇒ -108

Therefore, the absolute value of the product of the zeros of a is -108 .

4 0
3 years ago
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