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jekas [21]
3 years ago
15

a recipe for a cake to serve four people requires 400g butter, 320 g sugar, 1 egg and 800 g flour. work out the amount of each i

ngredient needed in order to make a cake that will serve 6 people
Mathematics
1 answer:
Oliga [24]3 years ago
4 0
2400g of butter
1920g of sugar
6 eggs
4800g of flour
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In which year will 67% of babies be born out of wedlock?
Leviafan [203]

Based on the trend of the increase in children born out of wedlock, if this trend keeps increasing, the year with 67% of babies born out of wedlock will be 2055 .

<h3>What year will 67% of babies be born to unmarried parents?</h3><h3 />

In 1990, the 28% of children were born out of wedlock and this trend was increasing by 0.6% per year.

If the trend continues, the number of years till 67% of children born out of wedlock will be:

= (67%  - 28%) / 0.6%

= 65 years

The year will be:

= 1990 + 65

= 2055

The first part of the question is:

According to the National Center for Health Statistics, in 1990, 28% of babies in the United States were born to parents who were not married. Throughout the 1990s, this percentage increased by approximately 0.6 per year.

Find out more on benefits of marriage at brainly.com/question/12132551.

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3 0
1 year ago
In Exercises 27 and 28, find the domain of the function
Natali5045456 [20]

                                             Question 27

The graph on question 27 indicates that there are three points with the locations such as:

  • (2, 6)
  • (4, 12)
  • (6, 18)

In other words, there are three points that lie on the graph with the x-values such as:

{(2, 6), (4, 12), (6, 18)}

We know that the domain includes the set of x-values.

Hence, the domain of the function is:

  • Domain: {2, 4, 6}

Since the points are not connected between them. In other words, there is not a continuous line.

Thus, the function represented on the graph has a discrete domain.

                                        Question 28

The graph on question 27 indicates that the line segment with the end-points (0, 25) and (7, 20).

Since there is a continuous line between the points from x = 0 to x = 7.

Thus, the domain of the line function is:

  • Domain: {0, 1, 2, 3, 4, 5, 6, 7}

As the line segment is a continuous line. Thus, the domain is continuous.

3 0
3 years ago
Jimmy collects nickels and dimes. Right now, he has a total of 40 coins in his piggy bank. If there are seven times as many dime
Colt1911 [192]
Number of nickels plus number of dimes equals total number of coins
so
n + d = 40

then they tell us that "there are seven times as many dimes as there are nickels"
this translates to
d = 7n

we then plug that into our first equation
and get
n + 7n = 40

then we solve for n
add like terms
8n = 40

then divide both sides by 8
n = 40/8 = 5

therefore Jimmy has 5 nickels
4 0
3 years ago
What is The prime factorization of 464
harkovskaia [24]
4 is your answer bud
8 0
3 years ago
Read 2 more answers
Anita plans to give her husband 3 shirts for his birthday. She narrows the search to 3 shirts from a selection of 17 shirts at D
Lunna [17]

Using the combination formula, it is found that she can select the shirts in 775,200 ways.

The order in which the shirt are chosen is not important, hence, the <em>combination formula</em> is used to solve this question.

Combination formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by:

C_{n,x} = \frac{n!}{x!(n-x)!}

In this problem:

  • 3 shirts from a set of 17.
  • Then, 3 shirts from a set of 20.
  • They are independent, hence, to find the total, we multiply both combinations.

T = C_{17,3} \times C_{20,3} = \frac{17!}{3!14!} \times \frac{20!}{3!17!} = 680 \times 1140 = 775200

She can select the shirts in 775,200 ways.

To learn more about the combination formula, you can check brainly.com/question/25821700

5 0
2 years ago
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