Solution 1 by separating parts
Rewriting our equation with parts separated
−5/6 −2−1/10
Solving the fraction parts
−5/6−1 1/0=?
Find the LCD of 5/6 and 1/10 and rewrite to solve with the equivalent fractions.
LCD = 30
−25/30−3/30= −28/30
Reducing the fraction part, 28/30,
−28/30= −14/15
Combining the whole and fraction parts
−2−14/15= −2 14/15
Solution by Formulas
converting mixed numbers to fractions, our initial equation becomes,
−5/6−21/10
Applying the fractions formula for subtraction,
=(−5×10)−(21×6)6×10
=(−50−126) / 60
= −176 / 60
Simplifying -176/60, the answer is
= −2 14/15
I hopes this helps!!! :)
ANSWER
6.5 calories per minute.
EXPLANATION
To find the calories Shelley burned per minute, divide the total calories burned by the total minutes ran.
Calories burned for a minute
This will give us,
Answer:
Step-by-step explanation:
The angle opposite to longest side is the largest angle.
WY is the longest side. ∠x is the greatest
Arrange sides from largest to smallest
WY > YX > XW
∠X > ∠W > ∠Y
Answer:
71
Step-by-step explanation:
The question says we have 140 bags and we have 4 models
bags have buttons but no zips.
bags have zips but no buttons.
bags have neither zips nor buttons
bags have both zips and buttons
We don't know how many bags have zips and buttons but we know how many bags are produced. And other 3 types of bags number. So we can calculate
140-47-48-22=23
That means we have 23 bags that have zips and buttons
and
48 of the bags have zips too. that means we have 48+23=71 bags that have zips on them.
Answer:
2 and - 
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
3y = 6x + 9 ( divide all terms by 3 )
y = 2x + 3 ← in slope- intercept form
with slope m = 2
(i)
Parallel lines have equal slopes, thus
the slope of line t is 2
(ii)
Given a line with slope m then the slope of a line perpendicular to it is
= - 
= - , thus
the slope of line r is -
