1 1/12
The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.
LCD(1/3, 3/4) = 12
Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.
(13×44)+(34×33)=?
Complete the multiplication and the equation becomes
4/12+9/12=?
The two fractions now have like denominators so you can add the numerators.
Then:
4+9/12=13/12
This fraction cannot be reduced.
The fraction
13/12
is the same as
13÷12
Convert to a mixed number using
long division for 13 ÷ 12 = 1R1, so
1312=1 1/12
Therefore:
13+34=1 11/2
Answer:
y = x/4 - 1/2
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
Step 1: Write equation
x = 4y + 2
Step 2: Subtract 2 on both sides
x - 2 = 4y
Step 3: Divide both sides by 4
x/4 - 1/2 = y
Answer:
Step-by-step explanation:
because both equations do not have matching numbers for the x or y variable, and both equations are positive you are going to have to multiply each equation by a number so that there will be at least one variable with the same number but with opposite signs.
it does not matter which variable you choose.
lets use y because 2 and 3 are smaller then 2 and 5.
so lets multiply the first equation by 2 in order to get y equal to 6.
2(2x)+2(3y)=(2)6
(do not forget to multiply what the equation is equal to also)
4x+6y=12
now for the second equation we need y to equal negative 6
-3(5x)+-3(2y)=-3(4)
-15x-6y=-12
now lets put the 2 new equations next to each other and see what we can cancel out
4x+6y=12
-15x-6y=-12
-11x=0
x=0
now plug 0 in for x and solve for y (it does not matter which of the 4 equations you choose to solve.
2(0)+3y=6
3y=6
y=2
so your answer is x=0, y=2
I am pretty sure it is 50 by 64 centimeters but if it is not I am really sory for the mistake.
The range for the cities in the south is 145 larger than the range for the cities in the north.
We find the range by subtracting the highest and lowest values; in the North, we have:
305 - 58 = 247
In the South, we have:
503 - 111 = 392
The difference in the ranges is 392 - 247 = 145.
