Answer: Chuck can paint 65 posts per hour.
Step-by-step explanation:
The data we have here is:
Diana can paint 150 fence posts in a time T
Chuck can pint 130 fence posts in a time T.
In one hour, Diana can paint 10 more fence posts than Chuck.
If D is the hourly rate of Daian, and C is the hourly rate for Chuck, we have:
D = 150/T
C = 130/T
D = C + 10
we can replace the last equation in the first one and geT:
C + 10 =150/T
C = 130/T
Now we can replace the bottom equation in the above one:
130/T + 10 = 150/T
10 = 150/T - 130/T = 20/T
T*10 = 20
T = 20/10 = 2
So T is 2 hours, then whe have:
D = 150post/2hours = 75 posts per hour.
C = 130 posts/2hours = 65 posts per hour.
From the picture, we see that there are two congruent sides. Therefore, following the Isosceles Triangle Theorem, if two sides in a triangle are congruent, then the angles opposite those sides are congruent. So, we know that the angles opposite of the congruent sides have an angle measure of x°. We are given the measure of the angle at the top vertex of 100°. Following the Triangle Sum Theorem, the three interior angles in a triangle must sum up to 180°. Therefore, we can create an Algebraic equation to solve for the two base angles that measure x°.
x+100+x=180
x=the base angle measures since they are congruent.
100+x+x=180
Community Property of Addition
100+2x=180.
Added x+x as like terms to = 2x.
100-100+2x=180-100
Subtraction of 100 from both sides to cancel it out and move it.
2x=80
Subtraction operation
2x/2=80/2
Divided by 2 to cancel it out on both sides and move it.
x=40°.
Therefore, the two base angles (angles opposite of the two congruent sides) are 40°.
2(40)+100=80+100=180.
So x=40
Answer:
$336
Step-by-step explanation:
$14.75(8) + $14.75(2)(4) - (8 hours of normal shift) + (double pay rate)(for 4 hours)
= $118 + $118 - Add
= $336
Answer:
Second option 1.6x10^14
Step-by-step explanation:
Answer:
x = 10
Step-by-step explanation:
3x/2 = 15
cross multiply
3x = 15 × 2
3x = 30
divide both sides by the coefficient of x
3x/3 = 30/3
x = 10