Answer:
187
Step-by-step explanation:
A number m is such that when it is divided by 30, 36 and 45 the remainder is always 7.
We should first find the LCM of 30, 36 and 45
We get that the LCM of the three numbers is 280 (working attached).
So now;
= 6
= 5
= 4
But we need a number that leaves a remainder of 7 so we add 7 to 180 to get; 180 + 7 = 187.
Answer:
There is an error in the question.
All angles in an equilateral triange are 60º
<span>The answer is 1 times 29. Number 29 is a prime number, which means that its multiples are 1 and itself (29). 29 = 29 * 1. According to the commutative law, in addition and multiplication, numbers can be swapped but the result will remain the same: a+b=b+a or a*b=b*a. Therefore, 29 = 29 * 1 = 1 * 29. In other words, 29 times 1 equals 29 and 1 times 29 equals 29, too.</span>
The percentage of the increase will be 25% when the number of students in the marching band increased from 100 to 125.
<h3>What is the percentage?</h3>
The Percentage is defined as representing any number with respect to the 100. It is denoted by the sign %.
It is given in the question that the number of students in the marching band increased from 100 to 125 so we need to find the percentage increase of the students.
The percentage increase of the students will be calculated as:-
% increase=[(125-100)÷(100)]x100
% increase=[(25)÷(100)]x100
% increase= [0.25x100]
% increase= 25%
Hence the percentage of the increase will be 25% when the number of students in the marching band increased from 100 to 125.
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Answer:
Step-by-step explanation:
Use synthetic division:
The coefficients of 2x^3 - 1 are {2, 0, 0, -1}. Setting up synthetic division, we get:
1 / 2 0 0 -1
2 2 2
---------------------------
2 2 2 1
Note that the remainder is 1. The same result would be obtained through long division.
The quotient is 2x^2 + 2x + 2 with a remainder of 1.
