Answer:
54
Step-by-step explanation:
copy dot flip 45/1 divided by 5/6
first copy dot flip so 45/1 then multiply and flip 5/6 so it looks like this
45/1 x 6/5= 270/5 then you need to see how many time 5 goes in 270 which is 54 and thats you anwser hope this helps sorry if im wrong
Answer:
520<400+15x
15x>120
15x+400>520
Explanation:
Pay of Dan's car wash attendant job =$400 per week
The amount he earns per hour walking dogs = $15
Let the number of hours spent walking dogs in a week = x
Therefore, total earning for walking dogs =$15x
Since he wants to earn more than $520, we have that:

We can rewrite this as:

If we collect like terms, we have:

So the inequalities are:
0. 520<400+15x
,
1. 15x>120
,
2. 15x+400>520
Answer:
1) When x is 1, y is 4, and vice versa
2) When x is -6, y is 42, and when x is 7, y is 114
3) When x is -2, y is 2, and when x is 8, y is 42
Step-by-step explanation:
1)

which can be rearranged as
.
Substituting this lone y into the first equation, you get:

Move everything to one side:

Factor:



2)
which can be rearranged as
.

Let's use elimination this time and subtract the first equation from the second:

Factor:



3)


Let's set the two equations equal to each other through substitution:

Move everything to one side:

Factor:



Hope this helps!
Answer:
15.87%
Step-by-step explanation:
First thing here is that we calculate the z-score which corresponds to 76
mathematically;
z-score = (x-mean)/SD
mean = 71 and SD = 5
plugging these values, we have;
z = (76-71)/5 = 5/5 = 1
Now, we want to firstly get the probability that we have a student shorter than 76 inches
The probability we want to calculate is P(z<1)
we can get this using the z-score table directly
That would be 0.15866
In percentage that is 15.866% which is 15.87% to the nearest tenth
Answer:
21
Step-by-step explanation:
Volume= (4/3)*pi*r^3
40007= (4/3)*pi*r^3
r=21m