MATHEMATICS HIGH SCHOOL

Find the GCF of each set of trinomials
60x^2y^2 , 35xz^3

Answers

Answer 1
Answer: I look at the similarities in factors then write them down. So 60 and 35, they have 5 (highest factor possible) in common. Now look at the variables. The only thing they have in common are the x's, and the second one doesn't have ^2, so its just x. That's how I got the final answer as 5x
Answer 2
Answer: GCF(60x^2y^2;\ 35xz^3)=5x

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Ramesh Moan earns 7.5% of his sales. Last week his sales totaled $580,000. What was his commission to the nearest dollar?

Answers

7.5/100= .075

$580000 x .075 = $43,500 commission

What is the area of the triangle below? Choose the correct answer.

Answers

Answer:

a. 16

Step-by-step explanation:

area of a triangle=1/2(bh). In this case, b=10 and h=3 1/5

multiply 10 and 3 1/5 to get 32

multiply 32 by 1/2 to get 16.

What is the pattern in the sequence of the numbers 0,2,6,14,30

Answers

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A helicopter hovers 40 ft above the ground. Then the helicopter climbs at a rate of 21 ft/s. Write a rule that represents the helicopter’s height h above the ground as a function of time t. What is the helicopter’s height after 45 s?

Answers

The initial height of the helicopter is 40 ft.

For every second (let's call time as t) he climbs upward, he goes 21 ft.

So we can write height of helicopter as 40+21t with respect to t.

In functional notation we can write the height (f(t)) of the helicopter at time (t) as:

f(t)=40+21t

To find the height of the helicopter after 45 seconds, we plug in 45 into the equation in place of t to get:

f(t)=40+21(45)=985

So after 45 seconds, the height of the helicopter is 985 ft.


ANSWER:

  • Equation modelling height of helicopter with respect to time: f(t)=40+21t
  • Height of helicopter after 45 seconds is 985 ft.
starts at 40
each second climbs 21 ft
40+21(number of second)

h=40+21t
at t=45
h=40+21(45)
h=40+945
h=985

height is 985
rule is h=21t+40 or h=40+21t

If 15% of days are sunny and the rest are rainy, what is the ratio of sunny days to rainy days

Answers

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The water level in Noah's water tank is 72 inches high. Noah begins to drain a water tank by opening a valve. The water drains at a speed up 5 inches per minute.

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