Answer:
39.19 yards^2
25.15 yards
Step-by-step explanation:
To determine the squares square yards of carpet needed, we have to determine the area of the room
The room is shaped like a rectangle
area of a rectangle = length x breadth
5.7 x 6 7/8
To multiply, convert 6 7/8 to a decimal
to do this, divide 7 by 8. Add the value gotten to 6
5.7 x 6.875 =39.19 yards^2
To determine the yards needed for the border, calculate the perimeter of the room
Perimeter = 2 x (length + breadth)
2 x(5.7 + 6.875) = 25.15 yards
Jade can make 403 necklaces.
1/5 of 121024 = 1/5(121024) = 0.2(121024) = 24204.8 = 24204 glass beads
1/10 of 121024 = 1/10(121024) = 0.1(121024) = 12102.4 = 12102 pony beads
To find the number of marbled beads, we add the fraction of the other two kinds together:
1/5 + 1/10
We will use 10 as the denominator:
2/10 + 1/10 = 3/10
The fraction that the marbled beads represents will make up 100%, or the whole number 1:
1-3/10 = 7/10
7/10 of 121024 = 7/10(121024) = 0.7(121024) = 84716.8 = 84716 marbled beads
Since it takes 20 glass beads to make a necklace, we divide the number of glass beads, 24204, by 20:
24204/20 = 1210 necklaces
It takes 30 pony beads to make a necklace. We divide the number of pony beads, 12102, by 30:
12102/30 = 403 necklaces
It takes 50 marbled beads to make a necklace. We divide the number of marbled beads, 84716, by 50:
84716/50 = 1694 necklaces
We must go with the smallest number, in order to ensure we have enough beads; this means she can make 403 necklaces.
Answer:
Step-by-step explanation:
Given quadratic function is,
f(x) = (x + 6)(x - 3)
For x-intercept,
Substitute the value f(x) = 0.
(x + 6)(x - 3 = 0
x = 3, -6
So the x-intercepts will be,
(-6, 0) and (3, 0)
For y-intercept,
Substitute the value for x = 0,
f(0) = (0 + 6)(0 - 3)
= -18
Therefore, y-intercept of the given quadratic function will be (0, -18).
Assuming you're working in base 10, then the antilog of 3.493 is equal to 10^3.493 = 3,111.71633710601
This rounds to 3111.7163 so the answer is choice D
Answer:
1. 
2. not completely sure but i think its 
3.x
=
2
i
√
5
,
−
2
i
√
5
4.x
=
−
9
±
√
73
/2
5. Im not sure...
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