Either a student passes an exam or fails it. that means the percentage of students who pass plus the percentage of students who fail must add to 100%. this also means that if 22% pass, then 78% fail. there are 68 students total and 78% fail so the number of students failing is:
(78/100)(68) = 53.04 which is approximately 53 students.
let me know if you have any questions!!!!
Answer:
2. Given
3. Definition of supplementary angles
4. Substitution Property
5 Subtraction Property
Step-by-step explanation:
2. Given
We are given in the statement that m<1 = 112°
3. Definition of supplementary angles
Supplementary angles definition: Two angles are supplementary if there sum is equal to 180°. That statement states:
m<1 + m<2 = 180°
4. Substitution Property
We put the value of m<1 = 112° in the equation. This is substitution property.
5. Subtraction Property
To find the value of m<2 we subtract 112 from both sides of the equation.
This is subtraction property.
Answer:
The height of water in the second tank is 2ft
Step-by-step explanation:
In this question, we are asked to calculate the height of water in a second tank if the content of a first tank is poured into the second tank.
The plot twist to answering this question is that we need to note the volume of water in the first tank. Although the first tank has dimensions of 2ft by 3ft by 2ft height, the water in the tank only rose to a height of 1 feet.
Hence, to calculate the volume of the water in the first tank, the width and the length of the tank still remain the same, the only difference here is that we work with a height of 1 feet since the Water is not full.
Mathematically, the volume of water present in the tank will be;
V = l * b * h
V = 4 * 3 * 1 = 12 cubic feet
Now, this content is emptied into a second tank. Since the volume of water here is the same; this means;
12 cubic feet = 3 * 2 * h
We ignore the 4ft height as it is just the height of the tank and not the height of the water in the tank
6h = 12 cubic feet
h = 12/6 = 2 ft
Hey!
Alright, the first step to solving this division problem would be to convert the mixed fraction into a simple fraction. To do that, we'll multiply the denominator by the whole number and then add that total to the numerator.
<em>Original Fraction :</em>

<em>New Fraction {Changed by Conversion} :</em>

Now that we've successfully done that we'll have to change the equation.
<em>Old Equation :</em>

÷

= ?
<em>New Equation {Changed by Flipping the Second Fraction and the Symbol} :</em>

·

= ?
Now we multiply straight across.
<em>Old Equation :</em>

·

= ?
<em>Solved :</em>

Almost done!
Now we have to simplify the fraction.
<em>Old Fraction :</em>

<em>New Fraction {Changed by Simplification} :</em>

Now just convert it to a whole number by removing the fraction line and the number, and that's it!
<span><em>So,

÷

equals</em></span>
15.
Hope this helps!
- Lindsey Frazier ♥
Answer:
33°
Step-by-step explanation:
you add the two numbers together and subtract from 180° to get your answer