22 ½ % is equivalent to 9/40 as a fraction.
To express 22 ½ percent as a fraction, we need to convert the percentage to its decimal form and then simplify.
22 ½ % is equivalent to 0.225 in decimal form (since 22.5% = 22.5/100 =0.225).
Now, to convert the decimal to a fraction, we can write it as 225/1000. To simplify, we can divide both the numerator and denominator by 25:
[tex]\frac{225}{1000}=\frac{9 \times 25}{40 \times 25}=\frac{9}{40}[/tex]
The required answer is 9/40.
Find three solutions of the equation (x^2-9)(x^3-8)=0
The township of Brock is growing at a rate of 6.5% per annum. How many people are there in Brock township now, if there will be 15000 in 4.5 years?
how do you work out px+py=a?
A box contains 5 blue marbles 3 red marbles and 6 white marbles. if three marbles are drawn, without replacement, what is the probability that all three are blue?
___ L = 240 kL ?
A. 24,000
B. 240,000
C. 0.240
D. 2.4
A used-boat dealership buys a boat for $2600 and then sells it for $3800. What is the percent increase?
the % increase is about ?%
A fair coin is tossed 10000 times the odds of getting exactly 5000 heads is closest to
Answer:
5000 tails there are only two sides on coin
Step-by-step explanation:
A gold mine has two elevators, one for equipment and another for the miners. The equipment elevator descends 66 feet per second. The elevator for the miners descends 1616 feet per second. One day, the equipment elevator begins to descend. After 2323 seconds, the elevator for the miners begins to descend. What is the position of each elevator relative to the surface after another 1616 seconds? At that time, which elevator is deeper? The position of the equipment elevator relative to the surface is negative 234−234 feet. The position of the elevator for the miners relative to the surface is nothing feet.
The running aces card team won $548 playing in poker tournaments last year. the winnings were split evenly among the p players. how much of money did each player receive?
Answer:
Each player received 548/p dollars.
Plzzzz Help mee with the one that isnt answered look at the pic i took
I need to find the answer to 2/3 - 1/5. What is it?
Angles A and B are the acute angles of a right triangle. If the tangent of A is 2.1445, then angle B measures
25
64
65
The requried measure of angle B is 25 degrees. Option A is correct.
What is the triangle?The triangle is a geometric shape that includes 3 sides and the sum of the interior angle should not be greater than 180°
Here,
In a right triangle, the tangent of an acute angle is defined as the ratio of the length of the side opposite the angle to the length of the side adjacent to the angle.
Let A be one of the acute angles of the right triangle. Then, we have:
tan(A) = opposite/adjacent
Given that the tangent of angle A is 2.1445, we can write:
2.1445 = opposite/adjacent
Since angle B is also an acute angle of the same right triangle, we have:
tan(B) = opposite/adjacent
But since the sum of the angles of any triangle is 180 degrees, and one of the angles in this triangle is a right angle (90 degrees), we have:
A + B + 90 = 180
B = 90 - A
Substituting the expression for B into the equation for the tangent of angle B, we get:
tan(90 - A) = opposite/adjacent
tan(90 - A) = (1/tan(A)) x adjacent/opposite
tan(90 - A) = (1/2.1445) x adjacent/opposite
tan(90 - A) = 0.466
Taking the inverse tangent of both sides, we get:
90 - A = tan⁻¹0.466)
90 - A = 25.38
A = 90 - 25.38
A = 64.62
Therefore, the measure of angle B is,
B = 90 - A
= 90 - 64.62 = 25.38 degrees
Thus, the requried measure of angle B is 25 degrees.
Learn more about triangles here:
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Prove that the cube root of 2 is irrational.
please help fast and show all work thanks
The formula for the perimeter of a rectangle is P=2(L+W) solve for W.
A. W=p/2-l
B. W=2p-l
C. W=p-2/+l
D. W=P/2+L
Answer:
Option A - [tex]W=\frac{P}{2}-L[/tex]
Step-by-step explanation:
Given : The formula for the perimeter of a rectangle is P=2(L+W).
To find : Solve for W ?
Solution :
The formula for the perimeter of a rectangle is
[tex]P=2(L+W)[/tex]
Multiply,
[tex]P=2L+2W[/tex]
Subtract 2L both side,
[tex]P-2L=2W[/tex]
Divide by 2 both side,
[tex]W=\frac{P-2L}{2}[/tex]
or [tex]W=\frac{P}{2}-L[/tex]
Therefore, Option A is correct.
Write the slope-intercept form of the equation for the line
What happens to light energy from the Sun when it reaches the surface of Earth?
A.
The light energy is multiplied when it reaches the plants on Earth.
B.
The light energy is destroyed when plants are eaten by herbivores.
C.
The light energy is transformed to chemical energy by photosynthesis.
D.
The light energy is converted to potential energy by cellular respiration.
Solve the proportion. 2/8 = -30/x
The solution to the proportion 2/8 = -30/x is x = -120, found by cross multiplying and simplifying the resulting equation.
To solve the proportion 2/8 = -30/x, we will cross multiply to find the value of x. After cross multiplying, we obtain 2x = -30 imes 8. Simplifying this gives us 2x = -240, and dividing both sides by 2 yields x = -120. So the solution to the proportion is x = -120.
Find the approximate side length of a square game board with an area of 192 in2.
Ray divides ∠COA into two angles of what measure?
20
30
40
35
Answer:
20
Step-by-step explanation:
Chan Hee bought 3.4 pounds of coffee that cost $6.95 per pound. How much money did he spend on coffee?
Scott and Teri read mystery novels. Teri has read 3 less than 5 times as many as Scott. She has read 17. How many has Scott read?
what is the measure of
474: the 4 in the ones place is _____ the value of the 4 in the hundreds place.
In the number 474, the 4 in the ones place is less than the value of the 4 in the hundreds place by a factor of 100 because each position to the left in the place value system is worth ten times more than the one to its right.
Explanation:The question deals with the concept of place value in mathematics. Specifically, it requires understanding how the value of a digit changes based on its position within a number. In the number 474, the 4 in the ones place has a value of 4, whereas the 4 in the hundreds place has a value that is 100 times greater, since each move to the left in place value represents a multiplication by 10. Therefore, the 4 in the ones place is less than the value of the 4 in the hundreds place. Here's a simple breakdown of the place values in the given number 474:
The first 4 (from left to right) is in the hundreds place, so its value is 4 x 100 = 400.The second 4 is in the ones place, so its value is 4 x 1 = 4.Since 1 is less than 100, the 4 in the ones place is worth less than the 4 in the hundreds place by a factor of 100.
The value of the 4 in the ones place is 10 times the value of the 4 in the hundreds place.
Explanation:The 4 in the ones place is 10 times the value of the 4 in the hundreds place.
PLEASE HELP!
Solve for x.
x/3≤−6
A) x≤−18
B) x≤−2
C) x≥−2
D) x≥−18
Solve each system by elimation 2x-3y=6 and 6x-9y=9
What are the steps to find x
In the diagram, AB = 10 and AC = 2√10. What is the perimeter of △ABC?
A. 10 units
B. 10 + 2√10 units
C. 20 units
D. 20 + 2√10 units
Answer:
D. 20 + 2√10 units
Step-by-step explanation:
Perimeter is the distance all round a figure.
AB = 10. This is given in the question
AC = √((3-5)²+(4--2)²
= √(4+36)
=√40 = 6.32 units
BC = 5 - -5 = 10 units
Perimeter = AB+AC+BC
= 10+6.32+10
= 26.32 units
plz help me with number 9
and show work so i can understand thx
I think the answer is C, since it is measured to 2 decimal places
Mark has a container in the shape of a cube. He uses 64 cubes with side lengths of 1 inch to completely fill the container. What is the edge length of the container?
Answer:
4 inches is the edge length of the container.
Step-by-step explanation:
Length of the small cubes = a = 1 inch
Volume occupied each small cube = v = [tex]a^3=(1 inch )^3= 1 inches^3[/tex]
Length of the big cube = A
Volume of the big cube = V
[tex]V=A^3[/tex]
He uses 64 cubes with side lengths of 1 inch to completely fill the container.
[tex]V=64\times v=64\times 1 inches^3[/tex]
[tex]A^3=64\times 1 inch^3[/tex]
A = 4 inch
4 inches is the edge length of the container.