Mathematics Middle School
I think that you are probably looking for 0.8 as a fraction because it is a decimal already.
So, 0.8 means %80 such as 8 points out of 10 points
This can be represented as 8/10
There are also many other ways to write it, but it will always simplify down to 4/5. Example: 8/10, 16/20, 24/30
Leonard took ten 15-point quizzes in his geometry class. His total points on the 10 quizzes is 135. What was his mean score? What information is unnecessary to find out the answer?
The mean score is 13.5 points per question.
Leonard took ten 15-point quizzes in his geometry class.
His total points on the 10 quizzes is 135.
We expect him to score 10 × 15 = 150 points , if he got all the questions right.
But now he scores 135 points in the 10 questions.
The mean score = Total points scored ÷ tota number of questions
i.e the mean score = 135 ÷ 10 = 13.5
So Leonard scored 13.5 points per question.
A construction crew has just finished building a road. The crew worked for 9 days. If they built 4 1/6 kilometers of road each day, what is the total length of road they built?
If they worked nine days and built 4 1/6 km a day it’s just multiplying the numbers
answer: 37.5 km or 37 1/2
What is the diameter of a cylinder that has a volume of 237 cubic units and a height of 3 units? Show your calculations.
The Diameter of the cylinder is 10.29 units
Volume of the Cylinder = 237 cubic units
Height of the Cylinder = 3 units
To Find :
Diameter = ?
The Volume of the cylinder =
r is the radius
h is the height
On substituting the values
r = 5.014 units
Noe the diameter is = 2r = 2( 5.014) = 10.29 units
I need help with pythagoras’ theorem
Pythagoras’ theorem is a way to find a side or hypothesis when you have 2 sides.
The formula is: a^2 + b^2 = c^2
a and b are sides
c is the hypothesis
Ex: A triangle has a leg that is 5 inches and a leg that is 7 inches. Find the hypothesis using Pythagoras' theorem.
A leg is another way of saying a side.
5^2 + 7^2 = c^2
25 + 49 = x^2
sqrt(74) = sqrt(x^2)
sqrt(74) inches = hypothesis
Ex: A triangle has a leg that is 9 feet and a hypothesis that is 25 feet. Find the other leg using Pythagoras' theorem.
9^2 + b^2 = 25^2
81 + b^2 - 81 = 625 - 81
sqrt(b^2) = sqrt(544)
b = sqrt(554)
Do you understand more?
A box of chocolate has 45 pieces. 9 pieces have nuts in them, what percent of the candy is without nuts?
80% of the candies are without nuts.
9/45 = 0.2
0.2 = 20%
The remainder is 80%
Prove the identity cos(x-y)-cos(x+y)=2sinx siny
Using the Addition/ Subtraction formulae for cosine
Consider the left side
cos(x - y) - cos(x + y)
= cosxcosy + sinxsiny - (cosxcosy - sinxsiny) ← distribute
= cosxcosy + sinxsiny - cosxcosy + sinxsiny ← collect like terms
= 2sinxsiny = right side ⇒ proven
Susan is saving money to buy a game. The game costs $30 , and so far she has saved two-thirds of this cost. How much money has Susan saved?
Susan has saved 20 Dollars so far
$20 because 2/3 of 30 is 20. You can do this by dividing 30 by 3. That is 10. Therefore 10 is 1/3. But since you need 2/3 you must times that by 2, which is 20.
A problem states: "There are 5 more girls than boys at the party. There are 27 children at th party in all. How many boys are there at the party?"
Let b represent the number of boys.
Which expression represents the number of girls?
Option A, b + 5
Step 1: Determine the equation to find the amount of boys
b + (b + 5) = 27
b: represents boys
b + 5: represents girls where they equal 5 more than boys
Answer: Option A, b + 5
What numbers describes the values of the square root of 215
The value in decemal form would be 14.66287829 or 14.66287
Is there a triangle that has a greater area than its perimeter?
A= 1/2 x B x H
ex: triangle side 13, 6,8.5
What is the factored form of 3x + 21x-24?
factorize form of the equation is , where
Adding the terms of 'x' and taking constants on the other side.
The sign of the constant will change on changing the side of it.
So, the value of 'x' is 1
The factorized form of the equation can be made by taking the common value from the equation i.e
over a month the weight of a turkey increases from 20kg to 24kg calculate the increase as a percentage
Step 1: Divide the new weight by the original weight.
24/20 = 1.2
Step 2: Change 1.2 into percent
To make a percent, multiply the number by 100
1.2 * 100 = %120
The formula below is used to convert a temperature in degrees Celsius,C, to a temperature in degrees Fahrenheit, F.
F= 1.8C + 32
on temperature in a mountain city was 15°C. What was the high temperature in
47 degree fahrenheit
Answer parts (a)and (b) for each closed box below a.what is the surface area of each box? B. What is the volume of each box ii.
Copy this link and put it into safari it will give you a video
A hotel chain charges $90 each night for the first two nights and $55 for each additional night's stay. The total cost T is a function of the number of nights x that a guest stays. (a) Complete the expressions in the following piecewise defined function.
Correct: Your answer is correct.
if 0 ≤ x ≤ 2
Incorrect: Your answer is incorrect.
if x > 2
(b) FindT(3)and T(5).
T(x) = 180+ 55x
T(3) = 180+ (55)1
= $ 235
T(5) = 180+ (55)2
= $ 190
What is the slope of a line PARALLEL to the graph?
To find the slope of this line we need to get the line into slope-intercept form (y = mx + b), which means we need to solve for y. But the slope of the lines will be the same.
Evaluate 5! + 2!
Simply the expression (9x^6)^-1/2
=1/9^1/2 • x^3
=(3^2)^1/2 • x^3
Rewrite the expression in the form 4^n
The rules of exponents tell you ...
(a^b)(a^c) = a^(b+c)
This means ...
(4^6)(4^-8) = 4^(6-8) = 4^-2
The 1984 movie footloose made $8,556,965 in its opening weekend. The 2011 remake of footloose made $15,556,113 in its opening weekend. What is the absolute and relative change in opening weekend earnings from the original footloose to its remake? Round your answer for relative change to the nearest hundreth of a percent. Do not round until your final answer.
- absolute change: $6,999,148
- relative change: 81.79%
The absolute change is the difference between the earnings numbers:
$15,556,113 -8,556,965 = $6,999,148
The relative change is the ratio of this difference to the original amount:
$6,999,148/$8,556,965 × 100% ≈ 81.794748% ≈ 81.79%