Answer:
2 and 10
Step-by-step explanation:
Let x be length of the small piece and y the length of the big one.
● y = 5x
Since the big piece is 5 times longer than the short one.
The total length is 12 ft
● y + x = 12
● 5x + x = 12
● 6x = 12
Divide both sides by 6
● 6x/6 = 12/6
● x = 2
So the length of the two pieces are 2 ft and 10 ft (5×2)
Answer: The correct graph is the bottom left graph.
Step-by-step explanation:
Given function is f(x)=ceil(x+1)
To plot graph of f(x) in interval of(-3,3) :
ceil(x+1) is ceiling function
The output of ceil(x) is least integer greater than x
for example ceil(5.5)=6
For an interval of (-3,-2):
Take x=(-2.4)
x+1=(-1.4)
y=f(x)=ceil(x+1)=(-1)
Similarly,
For an interval of (-2,-1):
Take x=(-1.4)
x+1=(-0.4)
y=f(x)=ceil(x+1)=(0)
For an interval of (-1,0)
y=f(x)=1
For an interval of (0,1)
y=f(x)=2
For an interval of (1,2)
y=f(x)=3
For an interval of (2,3)
y=f(x)=4
Thus, The correct graph is the bottom left graph.
Answer:
Sarah bought 7 coach tickets and 4 first class tickets.
Step-by-step explanation:
From the information provided, you can write the following equations:
x+y=11 (1)
240x+1100y=6080 (2), where:
x is the number of coach tickets
y is the number of first class tickets
In order to find the value of x and y, first you have to solve for x in (1):
x=11-y (3)
Now, you have to replace (3) in (2) and solve for y:
240(11-y)+1100y=6080
2640-240y+1100y=6080
860y=6080-2640
860y=3440
y=3440/860
y=4
Finally, you can replace the value of y in (3) to find the value of x:
x=11-y
x=11-4
x=7
According to this, the answer is that Sarah bought 7 coach tickets and 4 first class tickets.
Answer:
The answer is 1600
Step-by-step explanation:
10×100=1000
10×60=600
The answer is 3. if 81 balls are divided equally into 3 groups there would be 27 balls in each group.