This is the concept of algebra, to calculate the proportion of wool in each item we proceed as follows;
Let the amount of wool used for hat be x
amount of wool in sweater will be 5x
the amount of wool used in scarf will be x-5
therefore the total amount of wool will be:
x+5x+(x-5)=550
x+5x+x-5=550
7x-5=550
7x=550+5
7x=555
hence;
x=555/7
x=79
the amount used in hat x=79g
amount used in sweater 5x=395g
amount used in scarf=79-5=74g
Answer:
B. 2.75 mph
Step-by-step explanation:
If it took him 2 hours to walk 5.5 miles, 5.5 ÷ 2 = 2.75, which is what he walked in a single hour, meaning he was walking 2.75 mph
Answer:
Step-by-step explanation:
The expression can be fully factored as ...
3·5·(x-3)
Equivalent expressions can be formed by eliminating parentheses to give ...
15x -45
or by combining different pairs of factors:
Of course any of the terms can be broken apart and/or combined in different ways:
= 15(x -2) -15
= (7x -7) + 2(4x -19)
Answer:
Obtuse, scalene.
Step-by-step explanation:
In ΔSVU, one angle is 120° which is obtuse angle.
So, ΔSVU is a obtuse triangle.
All the sides have different measurements. So, It is a Scalene triangle.
The equation of the line passing throught the points 
and 
has a form
Now the equation of the line passing through points (0, 3) and (−5, 2.5) is
Simplify it:
This equation is in slope-intercept form.
Answer: y=0.1x+3.
