How to work out 100 divided by 150 without a calculator?

Answers

Answer 1

Answer: 100 / 150
I always simplify fractions by dividing the top and bottom of the fraction by the same numbers. Choose simple numbers you can do in your head, like 2.
I know 100/2 = 50 and 150/2 = 75
so now I have the fraction 50/75
then simplify it even more. Try dividing both top and bottom by 5s.
50/5=10 and 75/5=15
so now I have the fraction 10/15
now keep dividing by 5s.
10/5=2 and 15/5=3
so 100/150 simplifies to 2/3, or in decimal form 0.6666666666 repeating

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A jet travels 470 miles in 2 hours. At this rate, how far could the jet fly in 9 hours? What is the rate of speed of the jet?

Answers

First determine how many miles the jet files in one hour:

470/2 =235 miles/hour

We want to know how many hours the jet could fly in 9 hours, so we multiply this value by 9.

235 x 9 = 2115 miles

Therefore, the jet could fly 2115 miles in 9 hours.

Answer:

235 miles per hour and 2,115 miles in 9 hours

Step-by-step explanation:

in a bag containing 157 MM candies, there are 56 brown, 42 orange, 23 yellow, and 20 red candies. the rest of the m&m's in the bag are green. what percent are green

Answers

The percentage of green bags will be equal to 10.19%.

What is the percentage?

The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Given that in a bag containing 157 MM candies, there are 56 brown, 42 orange, 23 yellow, and 20 red candies. the rest of the m&m's in the bag is green.

The number of green bags,

Number = 157 - 56 - 42 - 23 - 20

Number = 157 - 141

Number = 16

The percentage is,

P = 16 / 157

P = 0.1019

P = 10.19%

To know more about percentages follow

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If there are 157 candies, then that implies that all of the candies in the bag added together end up equaling 157. Thus, if you take the 157 and subtract all of the numbers other than green, that will give you the number of greens in the bag. 157-56-42-23-20=(number of greens). The number of greens is equal to 16. To find the percentage of greens, you take the number of greens in the bag, divide it by the total number of candies, then multiply the ending result by 100: (16/157)*100=0.10191*100=10.191 percent

7. Which method would be the most efficient to solve the system? y = 1/2x, 2x + 3y = 28A) graphing
B) substitution
C) elimination
D) distributive

Answers

y = ¹/₂x
2x + 3y = 28

   2x + 3y = 28
2x + 3(¹/₂x) = 28
   2x + 1¹/₂x = 28
   3¹/₂x = 28
      3¹/₂ 3¹/₂
   x = 8
y = ¹/₂x
y = ¹/₂(8)
y = 4
(x, y) = (8, 4)
The method would be a substitution method (the answer is B).

The pressure, P, of a gas varies inversely with its volume, V. Pressure is measured in units of Pa. Suppose that a particular amount of a gas is initially at a pressure of 104 Pa at a volume of 108 L. If the volume is expanded to 432 L, what will the new pressure be?26 Pa
27 Pa
416 Pa
1728 Pa

Answers

The answer is 26 Pa.

The ideal gas law can be presented as:
PV = nRT
where
P - pressure of the gas,
V - volume of the gas,
n - amount of substance of gas,
R - gas constant,
T - temperature of the gas.

But, we do not need to know all of the equation members since the right side of the equation is not affected and will remain the same. It is enough the left side of the equation:

P₁V₁ = P₂V₂

It is given:

P₁ = 104 Pa

V₁ = 108 L

V₂.= 432 L

The unknown is P₂ = ?

P₁V₁ = P₂V₂.

104 Pa × 108 L = P₂ × 432 L

11,232 Pa L = P₂ × 432 L

P₂ = 11,232 Pa ÷ 432

P₂ = 26 Pa

Therefore, the new pressure will be 26 Pa.

The triangular prism belowhas a base area of 9 cm and
a height of 23 cm. What is
the volume of the prism?

Answers

Answer:

The volume of the rectangular prism is 207cm³

Step-by-step explanation:

To calculate the volume of a triangular prism we have to use the following formula:

a = area = 9cm²

v = volume

h = height = 23cm

v = a * h

we replace the values that we know

v = 9cm² * 23cm

v = 207cm³

The volume of the rectangular prism is 207cm³

Los Angeles Airport bears 140 degrees from San Francisco Airport and is 540 km away. A pilot is planning a direct flight from San Francisco Airport to Los Angeles Airport to leave at 2 P.M. The plane's air speed will be 640 km/h, and there will be a 60 km/hwind blowing from 290 degrees. What should the compass heading be,and what is the plane's estimated time of arrival (ETA) to the nearest minute?

Answers

Create a triangle starting with the length of 540 coming out of SF to LA bearing 140.
This looks like it leaves SF in IV quadrant and enters LA in II quadrant. The wind will take the plane more to the east (right). Therefore the pilot must aim to the west (left) in order for the wind to push it to the intended destination of LA. The second side of the triangle should come out of LA from the II quadrant bearing 290. The length of this side is 60t (60 km/h * t = time flying). The third side of the triangle connects the first two. There for it comes out of SF at some unknown angle > 140 and connects with the 60t side. The length of this third leg is 640t. (640 km/h * t = time flying). The angle between the 540 side and the 60t side is 30. This is found because the 540 side enters LA in 2nd quadrant as 130 angle . The 60t side enters LA in 2nd quadrant as 160 angle. Using law of sin's: sin 30/640t = sin x/60t. The t's cancel and you are left with sin x = 3/64. When solving for the angle x you get x = 2.6867 degrees. Adding this to the bearing of 140, the compass bearing should be 142.6867 or 142.7 degrees. To find the value of t, you use the law of sin's to get sin 30/640t = (sin (180 - 30 - 2.6867))/540. Solving for t gives you: t = .7811. This is in hours. To convert to minutes multiply by 60 to get t = 46.87 minutes. Add this to the 2pm departure time to get 2:47 pm arrival time.

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