Answer:
76, 76 104
Step-by-step explanation:
Angle 3 is vertical so it is congruent to Angle 2.
Angle 6 is corresponding, so it is congruent to Angle 2.
Angle 8 is linear to Angle 6, so they add to 180
Answer:
200
Step-by-step explanation:
150/3=50 so she sorts 50 items per minute, then 50*4=200
Step-by-step explanation:
y = .10d + .25q
y is the total amount, if you have d dimes and q quarters
S=4π<span>r<span>2 - this is the equation for the surface area of a sphere. We know that the radius (r) is 3.5 so here's how to solve this:
S = 4</span></span><span>π r2
S = 4</span><span>π (3.5)2
S = 4</span><span>π 12.25
S = 49</span><span>π
The surface area of a sphere with radius of 3.5 is 49</span><span>π.</span>
The system of inequalities that represents the given situation are x + y ≤ 20 and 15x + 10y ≥ 90.
The parameters needed to model the inequalities;
- amount made by Opal working for a photographer = $15 per hour
- amount made in the soccer team = $10 per hour
- minimum amount Opal needs to make a week = $90
- maximum number of hours Opal needs to work = 20 hours
Let the number of hours Opal works for a photographer = x
Let the number of hours Opal works in soccer team = y
The first system of inequality in the given situation is represented as;
x + y ≤ 20
The second system of inequality in the given situation is represented as;
15x + 10y ≥ 90
Thus, the system of inequalities that represents the given situation are x + y ≤ 20 and 15x + 10y ≥ 90.
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