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8090 [49]
3 years ago
12

A recipe is designed to serve 4 people. You want to serve 18 people, so you multiply each ingredient in the recipe by a factor A

.
Set up an equation to find the factor you will need to use to determine the new amounts in the recipe. (Write the equation and solve to find that factor.) B.
If the recipe calls for 3/4 cup of water when serving four people, how much will the new recipe need for 18 people? Show your work in finding your answer and make sure your answer is clearly stated.
Mathematics
1 answer:
daser333 [38]3 years ago
4 0

Answer:

For B. it's going to be 3 and 3/4 cups of water.

Step-by-step explanation:

1st you need to multiply 3/4 and 5. 18 can't be divided by 4 to get a whole number, so the closest you can get is if you divide 20 and 4. Then you would get 5. So, what I got the 20, because I rounded up to the nearest number that 4 can be divided by. Use a calculator. It will help you a lot! and it doesn't need to be a fancy one either. It can be the standard (or simple) calculator.

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For each sentence below, find the value of x that makes each sentence true.
vitfil [10]

<u>ANSWER</u>

1. x=\frac{1}{2}


2. x=1


<u>QUESTION 1</u>

The first sentence is (5^{\frac{1}{5}})^5=25^x.


Recall that;

(a^m)^n=a^{mn}


We simplify the left hand side by applying this property to get;


5^{\frac{1}{5}\times 5}=25^x.


\Rightarrow 5^{1}=25^x.


We now rewrite the right hand side too in an index form to obtain;


\Rightarrow 5^{1}=5^{2x}

We now equate the exponents to get;

\Rightarrow 1=2x.


\Rightarrow \frac{1}{2}=x


\Rightarrow x=\frac{1}{2}.


<u>QUESTION 2</u>

The second sentence is (8^{\frac{1}{3}})^2=4^x


We simplify the left hand side first to get;

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


2^2=4^x


We now rewrite the left hand side too in index form to obtain;


2^2=2^{2x}

We equate the exponents to get;

2=2x


This implies that;


1=x

or

x=1

4 0
3 years ago
*ੈ✩‧₊˚
grigory [225]

Answer:8 1/4 cups

Step-by-step explanation:

All you must do is multiply 2.75 (which is 2 3/4 in decimal form) by 3 since Wendy is baking a TRIPLE recipe. So, the work will look like this: 2.75x3=8.25 or 8 1/4 cups of flour.

3 0
2 years ago
Find the value of X, then find AB and DC.
zhannawk [14.2K]

Answer:

X=2, AB=14, DC=14

Step-by-step explanation:

3x+8=x+12

Subtract x from both sides

2x+8=12

Subtract 8 from both sides

2x=4

Divide by 2 on the sides

Answer: x=2

Then replace the x's with (2) and multiply

3(2)+8 and (2)+12

7 0
3 years ago
Read 2 more answers
Suppose you're making a soup that uses 5 cups of chicken broth and 3⁄4 teaspoons of corn starch for 8 servings. You need to make
yanalaym [24]

Answer:

Option A = 7.5 cups

Step-by-step explanation:

Given : Suppose you're making a soup that uses 5 cups of chicken broth and \frac{3}{4} teaspoons of corn starch for 8 servings. You need to make 12 servings of the soup, so you'll need 1\frac{1}{8} teaspoons of corn starch.

To find : How much broth do you need?

Solution :

A soup that uses 5 cups of chicken broth and \frac{3}{4} teaspoons of corn starch for 8 servings.

i.e. 5 cups + \frac{3}{4} teaspoon = 8 servings  ......(1)

You need to make 12 servings of the soup, so you'll need 1\frac{1}{8}=\frac{9}{8}

i.e. x cups +\frac{9}{8} teaspoon = 12 servings  ........(2)

So, First we find the ratio

Ratio is \frac{12}{8}=\frac{3}{2}

So to equal the ratio multiply (1) by \frac{3}{2}

5\times \frac{3}{2}cups + \frac{3}{4}\times \frac{3}{2} teaspoon = 8\times \frac{3}{2} servings

\frac{15}{2}cups + \frac{9}{8} teaspoon = 12 servings

On comparing with (2),

The value of x is \frac{15}{2}.

Therefore, The broth do we need is \frac{15}{2}=7.5 cups.

So, Option A is correct.

5 0
3 years ago
The ratio x : y is 1 : 3
PilotLPTM [1.2K]

Answer:

A and B are correct

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
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