A number increased by 5 and divided by 2 is equal to 75. What is the number?

The cup of vanilla to be used to prepare a recipe for the 4 batches of cookies is 0.1667 cups of vanilla.

Given that:

• 1 batch of the cookies = 5 cups of fours + 2 teaspoons of Vallina

If 20 cups of flours are used and we know a cookie require just 5 cups, then:

the number of cookies to be made from 20 cups of flours is:

• = (20 cups of flours × number of cookies)/5 cups of flour
• = 4 cookies

Since there are 4 cookies to be made, then the total number of teaspoons to be used for the 4 cookies is;

• = 2 × 4 cookies
• = 8 cookies

Thus, 20 cups of flour and 8 teaspoons of vanilla are required to make four batches of cookies.

But, we are to leave our answers in cups of vanilla. Let, the unknown number of cups of vanilla be (x)

• In a cup, there are 48 teaspoons
• In (x) cup now, there are 8 teaspoons.

1 × 8 = 48 × (x)

(x) = (1 ×8)/48

(x) = 8/48

(x) = 0.1667 cups of vanilla.

Therefore, we can conclude that the cups of vanilla to be used are 0.1667 cups.

Learn more about conversion here:

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Answer:

0.1666 cups vanilla or 8 teaspoons

Step-by-step explanation:

5 cups flour = 2 tsp vanilla

multiply each side by 4

20 cups flour = 8 tsp vanilla

there are 48 tsp in a cup, so divide 8 by 48

20 cups flour = 0.1666(repeating decimal) cups vanilla

There is a 50% chance that the first color I see will be green color.

What is probability?

Probability is the chance of occurrence of a certain event out of the total no. of events that can occur in a given context.

Given, The traffic light on Main Street follows a cycle. It is green for 30 seconds, yellow for 5 seconds, and red for 25 seconds.

∴ The sample space N(S) = 60.

So, The probability that the first color I see is green is P(G) = N(G)/N(S).

= 30/60.

= 1/2.

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Leah wears less makeup than Tanya which is why the ratio of the makeup she wears to Tanya is 0.625 : 1.

In finding the ratio of the amount of eye makeup Leah wears to the one that Tanya wears, you have to first assume that Tanya wears 1 unit of makeup.

Leah wears 5/8 of this amount which means that Leah wears 5/8 makeup.

The ratio will be:

Amount of makeup Leah wears         :         Amount Tanya wears

5/8                                                        :                  1

0.625                                                    :                1

In conclusion, the ratio of makeup won by Leah to that won by Tanya is 0.625 : 1.

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If Tanya wore 1 tub of makeup, Leah would wear 5/8 of a tub of makeup, so:

LEAH vs TANYA:

5/8 : 1

multiply both sides by 8 to get rid of fractions:

5 : 8

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Answer:

vertex = (9, - 1 )

Step-by-step explanation:

Given a quadratic in standard form, y = ax² + bx + c : a ≠ 0

Then the x- coordinate of the vertex is

= -

y = x² - 18x + 80 ← is in standard form

with a = 1 and b = - 18, thus

= - = 9

Substitute x = 9 into the function for corresponding value of y

y = 9² - 18(9) + 80 = 81 - 162 + 80 = - 1

Vertex = (9, - 1 )