Answer:
64
Step-by-step explanation:
the frequency of 64 is 21 which is the highest frequency presented making it the mode. 64 is the mode
Answer:
2,050 dollars is how much she will have to pay
Step-by-step explanation:
Angle A is 73 degrees.
This can be found by using the values for both angles and setting them equal to 180. Since they are alternating interior angles of intersections of parallel lines, they must equal 180.
6x - 35 + 3x + 53 = 180
9x + 18 = 180
9x = 162
x = 18
Since x = 18 we can place that into the equation for angle A in order to find it's value alone.
6x - 35
6(18) - 35
108 - 35
73
Answer:
12/5 hours
Step-by-step explanation:
Let the total area to be painted be X
Let S be the rate at which Sally paints and J be the rate at which Joe paints
We have:
X/S = 4 hours (1)
X/J = 6 hours (2)
(1) ÷ (2) ==>
LHS = X/S ÷ X/j = X/S × J/X ==> J/S (3)
RHS = 4/6 = 2/3 (4)
From (3) and (4)
J/S = 2/3 or J =2/3 × S
If they both paint at the same time time taken is
X/(S+J)
S + J = S + 2/3 *S = 5/3S
So time taken for both of them to paint is X/(5/3)*S = X/S * 3/5
But we know from (1) that X/S = 4 so time taken = 4 * 3/5 = 12/5 hours