Answer:
Step-by-step explanation:
1)4.5m+4.7=20m+47
4.5m-20m=47-4.7
-15.5m=42.2
m=-2.72
2)14+21w=7(2+3w)
41+21w=14+21w
21w-21w=14-41
3)49r+35=7(7r+35)
49r+35=49r+245
49r-49r=245-35
4)9(8h-3)=72h-27
72h-27=72h-27
72h-72h=-27+27
5)5.2+5.3t=10+15t
5.3t-15t=10-5.2
-9.7t=4.8
t=4.8/-9.7
t=0.49
6)6f+3.111=18f-33
6f-18f=-33-3.111
-12f=-36.111
f=-36.111/-12
f=3.01
Answer:
BC = 6.8
Step-by-step explanation:
The distance from A to B, then from B to C, is the same distance as from A to C.
Thus,
AB + BC = AC
AB = 8x + 8
BC = 4x + 2
AC = 22
AB + BC = AC
(8x + 8) + (4x + 2) = 22
Expanding the parenthesis:
8x + 8 + 4x + 2 = 22
8x + 4x + 8 + 2 = 22
12x + 12 = 22
Subtracting 12 from both sides:
12x = 10
Dividing both sides by 12:
x = 10/12 = 1.2
x = 1.2
We're looking for BC. As we know,
BC = 4x + 2
Let's now put in x = 1.2 into this equation:
BC = 4x + 2
BC = 4 * 1.2 + 2
Since 4 * 1.2 is 4.8:
BC = 4.8 + 2
BC = 6.8
Answer: BC = 6.8
Let us solve for the total area. In this problem, we solve area 1 (the rectangle in the middle) and the area 2 ( the two half circle on the sides).
Solve for area 1:
Area rec = L * W = 5units * 4 units = 20 squared units
Solve for area 2:
Area cir = pi *r² = 3.14 * (2 units)² = 12.56 squared units
Total area = 20 + 12.56 = 32.56 foot²
Total cost = 32.56 foot² * ($23/foot²) = $ 748.88
Total cost is $748.88.
Answer:
y = -(1/2)x + 4
Step-by-step explanation:
Use the standard form on an equation: y = mx + b
A line that is perpendicular has a slope that is the opposite reciprocal of the other line. We also have a point (x, y) that is on the line, so our equation begins as..
1 = -(1/2)(6) + b We must solve for b ( -1/2 is the opposite reciprocal of 2)
1 = -3 + b
4 = b
so our equation is
y = -(1/2)x + 4
