Answer:
163
Step-by-step explanation:
10(10)+9(7)=
100+63=163
Stack 1 : 2^0 = 1 quarter.
Stack 2 : 2^1 = 2 quarters.
Stack 3: 2^2 = 4 quarters.
Stack 4: 2^3 = 8 quarters.
Stack 5 : 2^4 = 16 quarters.
Stack 6: 2^5 = 32 quarters.
1 + 2 + 4 + 8 + 16 + 32 = 63
Answer: She used 63 quarters.
Answer:
Final answer is 
.
Step-by-step explanation:
Given expression is 
.
Now we need to factor that by the method of grouping.
So make two groups having first two terms and then last two term.
Factor each group then factor once more.
It can't be factored anymore so the final answer is .
14. the length of the arc is found by using the formula 2*PI*r*angle/360
the circle has a radius of 2 and the known angle is 90 degrees
so you now have: 2 * pi * 2 * 90/360, since the answer needs to be in terms of PI, remove pi from the equation for now:
2*2 *90/*360 = 1
the arc length = 1PI, or just PI
16. the area of the parallelogram is L x W : 9 *6 = 54
the area of the circle is: PI *r^2 = pi * 3^2 = 28.26
area of shaded region is subtracting the area of the circle from the parallelogram: 54 - 28.26 = 25.74 square inches
Answer:
x = 2 for a, c, and f
Step-by-step explanation:
a)
6(2x - 1) = 4 + 7x
12x - 6 = 4 + 7x
5x = 10
x = 2
b)
10 - 3x = -2(x + 4)
10 - 3x = -2x - 8
18 = x
c)
-3(7 - 2x) = -1 - 4x
-21 + 6x = -1 - 4x
10x = 20
x = 2
d)
7x + 12 = 2(4x - 5)
7x + 12 = 8x - 10
22 = x
e)
-5(x + 1) = -4 - 7x
-5x - 5 = -4 - 7x
2x = 1
x = 1/2
f)
8x + 11 = 9(5 - x)
8x + 11 = 45 - 9x
17x = 45 - 11
17x = 34
x = 2
