Answer:
Step-by-step explanation:
Slope intercept form : y=mx+b
Multiply by -1(reverse the inequality)
Answer:
y = - x - 11
Step-by-step explanation:
-x-y=11
+x +x
-y=11+x
/- /-
y=-11-x
rearrange
y = - x - 11
If is a triangle 90°, 45°, 45° then the sides are in ratio 1 : 1 : √2.
If c = 12 is a hypotenuse, therefore we have the equation:
If c = 12 is a leg, therefore we have:
g(x) = −5x + 18.5
x = 1
x = 2
x = 3
x = 4
Answer:
The solution of the equation f(x) = 5.5x − 13 and g(x) = −5x + 18.5 is 3 .
Step-by-step explanation:
As given
f(x) = g(x)
Here
f(x) = 5.5x − 13
g(x) = −5x + 18.5
Put in the above equation
5.5x − 13 = −5x + 18.5
5.5x + 5x = 18.5 + 13
10.5x = 31.5
x = 3
Therefore the value of x is 3 .
Answer:
d = - 22
Step-by-step explanation:
- 18 = d + 4 ( subtract 4 from both sides )
- 22 = d
B) if 56 students chose soccer as their favorite sport, find the number of students that chose baseball as their favorite sport.
Using ratios, we determine that out of 132 students, 96 chose soccer. If 56 students chose soccer, then 21 students chose baseball.
This question deals with the concept of ratios. The ratio of students who chose baseball to those who chose soccer is given as 3:8. This means that the total number of parts is 3 (for baseball) + 8 (for soccer) = 11.
A) If 132 students were surveyed, we can determine the number of students who chose soccer by first finding the value of each 'part' in the ratio. This is done by dividing the total number of students (132) by the total number of parts (11) which equals 12 students per 'part'. As soccer was chosen by 8 'parts' of students, the number of students is 8 * 12 = 96.
B) If 56 students chose soccer, represented by 8 'parts', then each 'part' corresponds to 56 / 8 = 7 students. The number of students who chose baseball, represented by 3 'parts', is then 3 * 7 = 21.
#SPJ11
A) 1 over 10 minus 1 over x equals 1 over 25
B) 1 over 10 minus 1 over 25 equals 1 over x
C) 1 over 25 minus 1 over x equals 1 over 10
D) 1 over 10 minus 1 over x equals x over 25
Answer: The correct option is
A) 1 over 10 minus 1 over x equals 1 over 25
Step-by-step explanation: We are given to select the correct option that can be used to determine the amount of time it takes for Gillian to empty the sorter if Perry does not add oranges.
Let, 'x' minutes be the amount of time it takes for Gillian to empty the sorter if Perry does not add oranges.
We have
Time taken by Perry to fill the sorter with oranges from the conveyor belt
= 10 minutes.
So, in 1 min, the portion of the sorter filled by Perry from conveyor belt is
While Gillian taking oranges out of the sorter, time taken by Perry to fill the sorter with oranges = 25 minutes.
So, in 1 min, the portion of the sorter filled by Perry is
Time taken by Gillian to empty the sorter if Perry does not add oranges = x min.
So, in 1 minute, the portion of the sorter emptied by Gillian is given by
Therefore, the required equation that determine the amount of time it takes for Gillian to empty the sorter if Perry does not add oranges is given by
Thus, (A) is the correct option.