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
Decide all proper subsets of A { 8 ,7 ,6 ,5 ,4 ,3 ,2 ,1} = A 1- { 4 ,3 ,2 ,1} 2- { } 3- { 9 ,8 ,7 } 4- { 11 ,2} 5- { 5 }
NemiM [27]
Answer:
A, E
Step-by-step explanation:
There should be 2^8-1 proper subsets of A. Its every one besides { }
Answer:
C(-4,-2), D(3,-7)
Step-by-step explanation:
we procced to identify points:
A(-4,-7), B(3,-2)
for being the sides of a rectangle parallel to the axes, we find the other two vertices (VIEW GRAPH)
C(-4,-2), D(3,-7); Area of the rectangle Ar=b*h, where
So Ar=(3-(-4))*(-2-(-7)) = (3+4)*(-2+7)=7*5=
Answer:
A. 220
Step-by-step explanation:
To find the total surface area of a square pyramid, you have to find the area of the base and all of the sides and add them together.
To find the area of the base:
Since the base is a square, all we have to do is multiply the length by itself.
10 * 10 = 100
The base is 100 square centimeters
To find the area of the sides:
Since the sides are triangles, we have to multiply the length times the height and divide it by 2.
10 * 6 = 60
60/2 = 30
The area of one side is 30 square centimeters
To find the total surface area:
Add the area of all 4 sides and the area of the base together to find the total surface area.
4(30) + 100 = surface area
120 + 100
220 = surface area
The surface area is A. 220 square centimeters.
It would be 10 because the answer would be a whole number but they requested to you to write it as a fraction in simplest form than you would right it like this 10/1 hope this helps !!
