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Annette [7]
3 years ago
12

Gary buys a 3 1/2 pound bag of cat food every 3 weeks. Gary feeds his cat the same amount of food each day. What expression coul

d be used to determine the number of pounds of cat food his cat eats each year(1 year-52 weeks)
A. 7/2 x 52/3
B. 7/2 x 3/52
C. 3( 1/2 x 3/52 )
D. 3 ( 1/2 x 52/3 )
Mathematics
2 answers:
Vika [28.1K]3 years ago
8 0
A7/2 x 52/3 i hope that correct
ratelena [41]3 years ago
6 0

Answer: A. \frac{7}{2}\times\frac{52}{3}

Step-by-step explanation:

Given: The number of pounds of cat food bought by Gary every 3 weeks. =3\frac{1}{2}\ pound=\frac{7}{2}\ pound

If Gary feeds his cat the same amount of food each day.

⇒ The number of pounds of cat food his cat eats each week =\frac{7}{2\times3}\ pound

Since 1 year = 52 weeks

Therefore, the number of pounds of cat food his cat eats each year =52\times\frac{7}{2\times3}=\frac{7}{2}\times\frac{52}{3}

The expression could be used to determine the number of pounds of cat food his cat eats each year is given by :-

\frac{7}{2}\times\frac{52}{3}

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James was trying to sleep one night but there was too much noise around him. His clock ticked every
g100num [7]

Answer:

<em>It will occur zero times between midnight and one o'clock.</em>

Step-by-step explanation:

<u>Least Common Multiple (LCM)</u>

Three events keep James from sleeping: his clock ticking every 20 seconds, a tap dripping every 15 seconds, and his dog snoring every 27 seconds.

All three events happened together at midnight. They will happen together again the first time the numbers 20, 15, and 27 have a common multiple. This is the LCM.

List the prime factors of each number:

20: 2,2,5

15: 3,5

27: 3,3,3

Now multiply all the factors the maximum number of times they appear:

LCM=2*2*3*3*3*5=540

(a) All the events will happen together again after 540 minutes.

(b) Since 540 minutes = 9 hours, this event won't happen again until 9 am. Thus, it will occur zero times between midnight and one o'clock.

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Valentin [98]

Answer: Option A

y=\left \{ {{x^2 +2;\ \ x

Step-by-step explanation:

In the graph we have a piecewise function composed of a parabola and a line.

The parabola has the vertex in the point (0, 2) and cuts the y-axis in y = 2.

The equation of this parabola is y = x ^ 2 +2

Then we have an equation liney = -x + 2&#10;

Note that the interval in which the parabola is defined is from -∞ to x = 1. Note that the parabola does not include the point x = 1 because it is marked with an empty circle " о ."

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Then the equation of the line goes from x = 1 to ∞ . In this case, the line includes x = 1 because the point at the end of the line is represented by a full circle .

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