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2 years ago

You need 1 1/4 cups of sugar to make 20 cookies. To make 16 cookies you will need how many customers of sugar.

Mathematics

2 answers:

Oksana_A [137]2 years ago

6 0

Answer:

We need 1 cup of sugar to make 16 cookies.

Step-by-step explanation:

Hello, great question. These types are questions are the beginning steps for learning more advanced Algebraic Equations.

To solve this question we can use the Rule of Three technique to find out how many cups we would need for 16 cookies. We can use this technique because we are given three values and one variable and the two sets are a ratio of one another. The technique is shown in the picture below.

1 $\frac{1}{4}$ ⇒ 20 cookies

x ⇒ 16 cookies

$\frac{1\frac{1}{4}*16}{20} = x$

$\frac{20}{20} = x$

$1 cup = x$

We need 1 cup of sugar to make 16 cookies.

Hello, great question. These types are questions are the beginning steps for learning more advanced Algebraic Equations.

ehidna [41]2 years ago

3 0

In order to answer this question you have to set up a proportion. Then you have to cross multiply, the x represents what you are looking for. Hope this helps.

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Please solve and explain steps for this problem.

Helen [10]

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7 0

3 years ago

Find the percent increase or decrease: 43 to 78

Kobotan [32]

Answer:

81.39% increase.

Step-by-step explanation:

Given: There is change in number from 43 to 78.

First lets find the amount of change or difference in number.

Difference in number= $78-43= 35$

∴ Difference in number show that there is an increase of 35 number.

Now, finding the percent change in the number.

Percent= $\frac{Difference\ in\ number}{base\ number} \times 100$

⇒ Percent change in number= $\frac{35}{43} \times 100= 81.39\%$

∴ 81.39% increase in the number.

3 0

2 years ago

Based on the sample of 500 people, 42% owned cats. Calculate the test statistic. Round to two decimal places.

Tanzania [10]

Answer:

z= 3.63

z for significance level = 0.05 is ± 1.645

Step-by-step explanation:

Here p = 42% = 0.42

n= 500

We formulate our null and alternative hypotheses as

H0: p= 0.42 against Ha : p> 0.42 One tailed test

From this we can find q which is equal to 1-p= 1-0.42 = 0.58

Taking p`= 0.5

Now using the z test

z= p`- p/ √p(1-p)/n

Putting the values

z= 0.5- 0.42/ √0.42*0.58/500

z= 0.5- 0.42/ 0.0220

z= 3.63

For one tailed test the value of z for significance level = 0.05 is ± 1.645

Since the calculated value does not fall in the critical region we reject our null hypothesis and accept the alternative hypothesis that more than 42% people owned cats.

4 0

3 years ago

The average number of traffic tickets issued in a city on any given day

Anton [14]

Answer:

The most tickets were written on Saturday .On Saturday 325 tickets were issued

Step-by-step explanation:

The average number of traffic tickets issued in a city on any given day Sunday-Saturday can be approximated by

$T(x) = -6x^2 + 84x + 37$