Answer:
Step-by-step explanation:
In order to find what score Alex must earn to have an average of 86 on all his tests, we need to first note what the formula to find the average of a data set is.
What the formula means is that we have to add up all the values then divide by the total number of values.
Let's represent our unknown number as 
.
(since we want AT LEAST an 86).
Let's solve this inequality for x.
So, Alex must score at least an 87% on his next quiz to have an average of 86%.
Hope this helped!
Answer:
Option B. y = 2x; 20 feet
Step-by-step explanation:
1. Determination of the equation that represents the relationship.
Let y be the distance travelled.
Let x be the time taken.
Let K be the speed.
From the question given above, the following data were obtained:
Distance (y) = 80 ft
Time (x) = 40 s
Speed (k) =.?
Speed = Distance /time
K = y/x ......... (1)
K = 80/40
K = 2 ft/s
Substitute the value of k into equation 1
K = y/x
K = 2 ft/s
2 = y/x
Cross multiply
y = 2x
Therefore, the equation that represents the relationship is y = 2x
2. Determination of the distance travelled in 10 s.
Speed (k) = 2 ft/s
Time (x) = 10 s
Distance (y) =.?
y = 2x
y = 2 × 10
y = 20 ft
Therefore, the person will travel 20 feet in 10 seconds.
From the above calculations, the right answer to the question is
Option B. y = 2x; 20 feet
Answer:
U is a point in the line segment TV
TV = TU + UV
TV = 3x
UV = x + 1
TU = x
3x = (x+1) + x
3x = 2x + 1
3x - 2x = 1
x = 1
Length of TU = 1
Hope this will help..
perimeter =48
18+18+6+6=48
x-12=x/3
Multiply both sides by 3
3x-36=x
3x=x+36
2x=36
x=18
18-12=18/3
6=6
One side 18 another side 6
Answer:
x=33.
Step-by-step explanation:
The sume of angles in triangle is 180, so it must be
23+124+x=180
x=180-147
x=33
