Consecutive prime numbers are going to be close to one another in the number line, and therefore not very different from the square of the number midway between them. We can thus try to locate the prime numbers in question by looking between the square root of 1000 (31.6) and 1500 (38.7). <span>In this immediate vicinity, the only prime numbers are 31 and 37, which are consecutive - no other prime numbers lie between them. The product of 31 and 37 is 1147, which is between 1000 and 1500. This meets the description above, so Martiza's PIN must be 1147.
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Answer: Length 1,132 ft
Step-by-step explanation: Im not sure if this is the one your talking about but here.
Given data:
The given equation of line is y=x/4+5.
The given y-intercept is (0,c)=(0,-3).
The standard equation of line is,
y=mx+c
Compare the given equation with the above expression.
m=1/4
The expression for the slope which is perpendicular to the given line.
The equation of the line which is perpendicular to the given line is,
Thus, the line which is perpendicular to the given line is y=-4x-3.
Answer:
13
Step-by-step explanation:
7 cm +1 cm +2cm +2cm :12cm
The rate of
Glenn in finishing a job would be equivalent to:
Rate (G) = 1
job / 20 minutes
While the
rate of Veronika is:
<span>Rate (V) = 1
job / x ---> x is the
unknown</span>
Where 1 job
for Glenn means completely cleaning his room while 1 job for Veronika means
pulling out everything. Therefore the equation to use would be:
1 / 20 – 1 /
x = 1 / 60
The rate of
Veronika is subtracted from the rate of Glenn since Veronika is slowing Glenn
down. Solving for x:
Multiply both
sides by 60 x
(1 / 20 – 1 /
x = 1 / 60) * 60 x
3 x – 60 = x
2 x = 60
x = 30
<span>Therefore it
takes 30 minutes for Veronika to pull everything out.</span>
