Answer:
10 5/12
When the numerator is larger than the denominator, we take groups of whole fractions (The numerator and denominator are equal) and add 1 to the whole number for each group. Whatever remains when we no longer have the numerator larger than the denominator is left as a fraction.
Step-by-step explanation:
6 3/4 + 3 2/3
We need to get a common denominator
The common denominator is 12
We need to rename the fractional parts to out of 12
6 3/4 = 6 3/4*3/3 = 6 9/12
3 2/3 = 3 2/3*4/4 = 3 8/12
6 9/12+ 3 8/12
9 17/12
But the numerator is larger than the denominator
We take 12/12 from the fraction and add it to the whole number
9 17/12-12/12 +1
9+1 5/12
10 5/12
Answer:
y= 5
x= 2x+5=11 --- 2x=11-5--- 2x/6
x=3
Answer:x = 1
y = 1
Step-by-step explanation:
The given system of simultaneous equations is expressed as
3x - 5y = - 2 - - - - - - - - - - - - 1
2x + y = 3 - - - - - - - - - - - - - 2
The first step is to decide on which variable to eliminate. Let us eliminate x. Then we would multiply both rows by numbers which would make the coefficients of x to be equal in both rows.
Multiplying equation 1 by 2 and equation 2 by 3, it becomes
6x - 10y = - 4
6x + 3y = 9
Subtracting, it becomes
- 13y = - 13
y = - 13/- 13 = 1
The next step is to substitute y = 1 into any of the equations to determine x.
Substituting y = 1 into equation 2, it becomes
2x + 1 = 3
2x = 3 - 1 = 2
x = 2/2 = 1
Answer:
142.1π in³
Step-by-step explanation:
Given that:
The radius (r) = 7 in
The slant height (y) = 25 in
Then the height (x) can be determined by using the Pythagoras rule:
y² = x² + r²
25² = x² + 7²
125 = x² + 49
125 - 49 = x²
x² = 76
x = √76
x = 8.7
The formula for the volume of a cone is;
= 1/3 πr²h
where;
height(h) is calculated as "x" from above = 8.7
Then;
= 1/3 × π × (7 in)² × 8.7 in
= 142.1π in³
The answer is: "
27.5 pages " ; or, write as: "
27
pages " .
____________________________________________________________5.5 pages / 12 minute = ? pages / 60 minutes;
12 * 5 = 60 ;
5.5 * 5 = ?
5.5 * 5 = 27.5
____________________________________________________________The answer is: "
27.5 pages " ; or, write as: "
27
pages " .
____________________________________________________________