John get money $630 and bill get money $270.
Given that John and bill shared $900 in the ratio 7:3 respectively.
The ratio is defined as the comparison of two quantities of equal units, indicating the quantity of one quantity contained in the other quantity.
The total ratio is 7+3=10
For john:
John has money seven out of 10 for the $900, we get
J=900×(7/10)
J=90×7
J=630
For bill:
Bill is three out of ten for $900, we get
B=900×(3/10)
B=90×3
B=270
Hence, john get money $630 and bill get $270 when they both shared $900 in the ratio 7:3 respectively.
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The sales tax rate is 6.5%
Answer:
y = 2x + 20
Step-by-step explanation:
Vlad spent 20 minutes on history. Then Vlad spent 2 minutes on each math problem for homework, this is 2x. So in total, he spent 20+2x on homework. Depending on how many problems he did, the total time y can be found. This is the equation 20+2x=y.
If Vlad did 0 math problems then he spent at least 20 minutes on homework from history. This is the constraint .
We also know Vlad can do many math problems but the least amount he did was 0, so the second constraint is .
If we remove human choices in creating the code the answer is 10 (the possible choices) times 26 (the possible choices) so 260 is the probability
Step-by-step explanation:
sec(x) = 1/cos(x)
and therefore, it behaves accordingly.
the minimum of cos(x) is the maximum of 1/cos(x).
it does not have any x-intercepts. for cos(x) = 1 (max) we get 1/1 = 1 for sec(x), which is the minimum.
mirrored to this, cos(x) = -1 gives us also -1 for sec(x).
sec(x) = 1/cos(x) can never have a result between -1 and +1.
cos(0) = 1, so also sec(x) = 1, and therefore (0, 1) is the y-axis intercept.
at every pi (beginning at 0) there is a horizontal tangent, but not an asymptote. the (vertical) asymptotes happen at every pi beginning at pi/2 and -pi/2.
therefore, only the third and fourth answer options are correct.