the ratio of adults to children in a library is 5:6. if there are 102 children in the library, how many people are there in the library altogether?
Answers
To determine the total number of People in the library, we can use the given ratio of adults to children. By setting up an equation and solving for the number of adults, we find that there are 25 adults. Adding this to the number of children gives us a total of 127 people in the library.
To find out how many people are there in the library altogether, we need to determine the total number of adults. We can do this by using the given ratio between adults and children. The ratio of adults to children is 5:6, which means that for every 5 adults, there are 6 children.
Since we know that there are 102 children in the library, we can use this information to calculate the number of adults. The ratio tells us that there are 6 children for every 5 adults. Therefore, we can set up the equation: 6 children = 5 adults. To solve for the number of adults, we can multiply both sides of the equation by 5/6: 6 * 5/6 = 5 adults * 5/6. This simplifies to: 5 = 25/6 adults.
To convert this fraction into a whole number, we can multiply both sides of the equation by 6: 5 * 6 = 25/6 * 6. This gives us: 30 = 25 adults. Now that we know there are 25 adults and 102 children in the library, we can determine the total number of people by adding these two numbers together: 25 adults + 102 children = 127 people. Therefore, there are 127 people in the library altogether.
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I need help!!are these correct?
Answers
As one inch is equivalent to 2.54 centimeters in 50.8 centimeters there is 20 inch.
What is a unitary method?
A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.
Given, One inch is equivalent to 2.54 centimeters.
Therefore, The number of inches in 50.8 cm can be obtained by dividing 50.8 centimeters by 2.54 centimeters.
= 50.8/2.54.
= 20 inch.
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Answers
Use 3.14 to approximate pi, and express your final answer to the nearest tenth.
______ft3
Answers
Plug in 3.14 for
Plug in 6 for the height
Our radius is half of our diameter.
6² = 6 × 6 = 36.
Now we just multiply together 1/3, 3.14, 36, and 6 to get...
Rounding to the nearest tenth...
Step 1(Fill in formula): 1/3((3.14)(
Step 2 (Solve): 1/3((3.14)(36)(6))
Step 3 (Solve): 1/3(678.24)
Step 4 (Complete) : 226.08ft³
Answers
Answers
Slope intercept form is y=mx+b. So you would first subtract 4x from both sides. This ends up being 5y= -4x +20. Then divide both sides by 5. This gets you y= (-4/5)x +4.
y = (-4/5)x + 4 is the slope intercept form of the equation 4x+5y=20 .
To write the equation 4x + 5y = 20 in slope-intercept form (y = mx + b), where "m" represents the slope and "b" represents the y-intercept, we need to solve for "y."
Let's rearrange the equation step by step:
4x + 5y = 20
Subtract 4x from both sides to isolate the term with "y":
5y = -4x + 20
Divide both sides by 5 to isolate "y" and obtain its coefficient:
y = (-4/5)x + 4
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Do so, showing all of your work for credit.
(Use 3.14 for Pi. Round your answer to the nearest hundredth and show your work for credit.)
Answers
Area of the label that covers the side of the can is 193.522 cm².
What is Cylinder?
A cylinder is a geometrical shape which is three dimensional figure. It has two circular bases which are parallel and they are connected with a curves surface.
The lateral surface area of a cylindrical shape is given by the formula,
Area = 2πrh, where r is the radius and h is the height of the cylinder.
We are taking lateral surface area because label is only marked in the sides.
We have, cylindrical soup can is 5.5 cm in diameter and 11.2 cm tall.
Radius = 5.5 / 2 = 2.75
Height = 11.2
Surface area = 2π × 2.75 × 11.2 = 193.522
Hence the area of the label that covers the side of the can is 193.522 cm².
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\pi x r^2h
\pi x 2.25^2 x 11.2
= 117.038
= 117.04cm^3.
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