Answer:
Elliot will make 4 hats and 16 scarves
Step-by-step explanation:
Let x be the number of hats and y be the number of scarves Elliot will make.
Elliott wants to make a total of 20 items, then
x + y = 20
Each hat uses 0.2 kilograms of yarn, so x hats use 0.2x kilograms of yarn and each scarf uses 0.1 kilogram of yarn, then y scarves use 0.1y kilograms of yarn. Elliott wants to use twice as much yarn for scarves as for hats, then
0.1y = 2(0.2x)
Thus,
0.1y = 0.4x
y = 4x
Substitute it into the first equation:
x + 4x = 20
5x = 20
x = 4
y = 20 - 4
y = 16
Hence, Elliot will make 4 hats and 16 scarves
Divide total miles by miles per gallon:
364 miles / 20 miles per gallon = 18.2 gallons
Answer:
The answer to your question is below
Step-by-step explanation:
a) 
Factor the numerator is a polynomial of the form x² + bx + c
s² - 3s - 28 = (s - 7)( s + 4)
Substitute
Simplify like terms
Result s + 4
b) 
Factor the numerator is a polynomial of the form x² + bx + c
c² + 5c - 24 = (c + 8)(c - 3)
Substitute
Simplify like terms c - 3
Result c - 3
I did my best to explain it on graph paper. I hope this helps! Look at the attached picture.
Answer:
see explanation
Step-by-step explanation:
(a)
The angles are vertical and congruent, that is
x - 10 = 125 ( add 10 to both sides )
x = 135
-------------------------------------------------
(b)
Supplementary angles sum to 180°
The angles are in the ratio 2 : 3 = 2x : 3x ( x is a multiplier ), then
2x + 3x = 180
5x = 180 ( divide both sides by 5 )
x = 36
thus
2x = 2 × 36 = 72
3x = 3 × 36 = 108
Then the 2 angles are 72° and 108°
