MATHEMATICS HIGH SCHOOL

Chef Rita is cooking for a Sunday brunch. she knows that 22 pancakes can feed 8 people. She is wondering how many people she can feed with 55 pancakes. She assumes each person eats the same quantity of pancakes

Answers

Answer 1

Answer:

Answer:

20 people

Step-by-step explanation:

22 pancakes = 8 people

55 pancakes = x people

=> Cross-multiply

=> 22 * x = 55 * 8

=> 22x = 440

=> 22x/22 = 440/22

=> x = 20

So, 55 pancakes can feed 20 people.

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Sophia has 3 pink tulips and 3 white tulips. what fraction of sophias tulips are pink

Answers

3/6. Because she has 6 total flower and 3 are pink so 3/6

Answer: 3/6 of the tulips are pink.

A $5000 investment earns $1575 simple interest in three years. What is the annual interest rate?a. 1.05%
b. 3.15%
c. 10.5%
d. 31.5%

Answers

I=PRT
P=principal
I=interest
R=rate
T=time in years

Principal=5000
Interest=1575
R=?
T=3 years

I=PRT
1575=(5000)(R)(3)
1575=15000(R)
divide both sides by 15000
0.105=R
we need to covert to percent
x%=x/100
0.105/1 times 100/100=10.5/100=10.5%

answer is C

Bugs Bunny wanted to buy some new signs to use to trick Daffy Duck. Each sign costs $12, and tax is only 6% in Looney Tune Land. How much would Bugs pay for three signs with tax?(Please show work too :) )

Answers

Answer:

$38.16

Step-by-step explanation:

12*3=36

36*0.06=2.16

36+2.16=38.16

Hope this helps! :)

A merry-go-round has a radius of 10 ft. To the nearest tenth of a foot, what distance does the merry-go-round cover when it rotates through an angle of 72°?For my first try, I got 62.9 as my answer, and it was marked wrong. I did this a second time, and got 12.6. I would like to check with anyone else to see if I got the answer right.

The answers for this question were:

62.9, 12.6, 25.1, or 125.7

Answers

Answer:

12.6

Step-by-step explanation:

The distance covered by the merry-go-round if makes a complete circle (360°) is its circumference:

circumference = 2*π*radius = 2*π*10 = 62.8 ft

This distance corresponds to 360°, for 72°:

62.8 ft / x ft = 360° / 72°

x = (72/360)*62.8

x = 12.6 ft

Yes, the correct answer is 12.6 ft.

Using the formula of arc length, that is
s = rθ
where s = arc length, r = radius, θ = angle (unit must be in radian)
With r = 10 ft and θ = 72 deg ( π/180 deg) = 1.26 rad,
s = (10)(1.26) = 12.6 ft

What is the correct order of the missing justifications to fill in the blanks for the given equation 4(x + 5) = 2x + 2, given the following steps: 4x + 20 = 2x + 2, 2x + 20 = 2, 2x = -18, x = -9?

Answers

Answer: The correct order of the missing justifications is as follows:

1. Distributive property

2. Subtraction property of equality

3. Subtraction property of equality

4. Division property of equality

Step-by-step explanation:

To determine the correct order of the missing justifications to fill in the blanks for the given equation 4(x + 5) = 2x + 2, let's analyze the steps provided:

Step 1: 4(x + 5) = 2x + 2

This step represents the original equation.

Step 2: 4x + 20 = 2x + 2

This step applies the distributive property by multiplying 4 by each term inside the parentheses, resulting in 4x + 20 on the left side.

Step 3: 2x + 20 = 2

This step simplifies the equation further by subtracting 2x from both sides, which eliminates the variable term on the right side. The equation becomes 2x + 20 = 2.

Step 4: 2x = -18

This step subtracts 20 from both sides of the equation, resulting in 2x = -18.

Step 5: x = -9

Finally, this step isolates the variable x by dividing both sides of the equation by 2, resulting in the solution x = -9.

Please note that the missing justifications may vary depending on the textbook or curriculum being used. However, based on the given steps, this order aligns with the most common justifications used in solving equations.

The population of a local species of dragonfly can be found using an infinite geometric series where a1 = 42 and the common ratio is three fourths. Write the sum in sigma notation and calculate the sum that will be the upper limit of this population.