Answer:
11 grades of 85 did Brenda, Robert, and Timothy receive altogether.
Step-by-step explanation:
Let 6x be the number of 85 received by Brenda.
The number of 85 received by Robert is 1/3 of Brenda= 2x
The number of 85 received by Timothy is 1/2 of Brenda= 3x
Then according to the given conditions
6x+ 2x+ 3x
= 11x
So the number of total 85s received by all the three is 11.
11 grades of 85 did Brenda, Robert, and Timothy receive altogether.
Answer:
Evaluate the graph when X=1 is 6
Answer:
+4
Step-by-step explanation:
The numbers above are all odd number
The arithmetic progression is the addition of +4
7+4=11
11+4=15
15+4=19
Answer:
1/6=0.166666666666666666666666666666666666666666666667
Step-by-step explanation:
.5=1/2
half of the numbers are even
.333333333=1/3
a third of the numbers are more than 4
1/2*1/3=1/6
There is a 1/6 probability
Answer:
x = √75
Step-by-step explanation:
We can write out all relations of each triangle here using the Pythagorean theorem (there are 3 triangles total). The triangles are ABD, BCD, and ABC.
For triangle ABD:
AB² = AD² + BD²
AB² = (AC - DC)² + BD²
y² = (15 - 5)² + BD²
y² = 100 + BD²
For triangle BCD:
x² = BD² + 5²
x² = BD² + 25
For triangle ABC:
15² = x² + y²
225 = x² + y²
From here we can substitute into the equation ABC. We can substitute x² and y² with our first and second equations.
225 = BD² + 25 + 100 + BD²
225 = 2BD² + 125
100 = 2BD²
50 = BD²
We don't need to solve for BD, we can substitute it into our equation for triangle BCD to solve for x.
x² = BD² + 25
x² = 50 + 25
x² = 75
x = √75