MATHEMATICS MIDDLE SCHOOL

In the cafeteria there are 7 teachers 48 girls and 45 boys What is the probability that a person chosen at random from the cafeteria is a boy

Answers

Answer 1
Answer: total peoples = 7 + 48+ 45 = 100
probability of boys = number of boys / total people
                             45/100 = 9/20
Answer 2
Answer: 7+48+45
48+45=93
so 93% chance of a boy getting chosen

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An electrician can wire on 4.5 houses in a week. How many months will it take her to wire 55 houses if she wires the same number each week and figures on 4.5 weeks per month

Answers

i believe the answer is 2 months and 4 weeks.. at 2months and 3 weeks however she has wired 54 houses. so you need to add another week because at 2 months and 3 weeks you havent reached 55 houses yet.

Select from the drop-down menus to correctly complete each statement. Rectangle ABCD can be mapped onto rectangle EHGF with a translation of followed by a dilation centered at the origin with a scale factor of .

Answers

The answer is 5 units right and the other is 0.5.
5 units right and 0.5 i just took the test

Rectangle A′B′C′D′ is the image of rectangle ABCD after a dilation. What is the scale factor of the dilation? Enter your answer in the box.

Answers

Each of the prime coordinates is 3 times the unprimed coordinates. 

The scale factor is 3.

The absolute value of a number isA)
usually positive.
B)
how far a number is from zero.
C)
negative for a positive number.
D)
the nearest integer to a number.

Answers

i believe its letter b. how far from zero because it would determine negative and positive numbers! so wait till an other answer and maybe you will get letter b as the answer hope i helped! 


the absolute value of a number is how far it is from zero, so the answer is B

Find the seventh term of each sequence
1, -3, 9, -27.....

Answers


multilply by negative three to find the next term. 1, -3, 9, -27, 81, -243, 729, which is the seventh term.

A 2000 gram sample of radioactivematter will completely decay (be
undetectable) in 20 hours. There
exists a set of ordered pairs (t, m),
where t is the amount of time in hours
that the substance has been decaying,
and m is the mass in grams that has
decayed.
If t > 0, what is the range of m?

Answers

Answer:

The range is 0 < m < 2000 when t > 0

Step-by-step explanation:

* Lets explain how to solve the problem

- The exponential function is f(x)= a(b)^(x) , where

  a is the initial amount and b is the growth factor

- If b > 1, then it is exponential growth function

- If 0 < b < 1, then it is exponential decay function

* Lets solve the problem

- A 2000 gram sample of radioactive  matter will completely decay

 (be  undetectable) in 20 hours

- There is a set of ordered pairs (t , m) exists, where t is the amount

  of time in hours  that the substance has been decaying and m is

  the mass in grams that has  decayed

∵ We can represent this situation by an exponential decay function

∴ m(t)= 2000(b)^(t) , where b is the growth factor which is

  greater than zero and less than 1 , t is the lime in hours and

  m(t) is the mass of the substance in gram

- In any function the domain is the value of x and the range is

 the value of y

∵ In the function the domain is t and the range is m

∵ When t = 0 then m = 2000 ⇒ initial amount

∵ When t = 20 then m will be closed to zero

∴ The domain of the function is 0 < t < 20

∴ The range of the function is 0 < m < 2000

* The range is 0 < m < 2000 when t > 0
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