MATHEMATICS HIGH SCHOOL

You are school supply shopping in together as a package of six pencils for $2.70 how much does each pencil cost

Answers

Answer 1
Answer:

We know that 6 pencils = $2.70, so to find out the price of 1 pencil we just divide $2.70 by 6.

2.70 ÷ 6 = 0.45

Therefore each pencil costs $0.45

I hope this helps, have a great day! :)
Answer 2
Answer:

Answer:

0.45 cents

Step-by-step explanation:

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Directions: Find the unit rate with the second given unit in the denominator.$60.00 for 8 pizzas.

Answers

Hi there,

OK were finding the unit rate for 60.00 dollar for 8 pizzas frist we divide 

60.00/8=7.5

OK so that the answer $7.50 per pizza

In a appropriate environment, guppies reproduce at an astounding rate. A population of reproducing guppies quadruples every month. How many Guppies will there be after 6 months if the beginning population is only 6 guppies?a)24,576
b)144
c)46,656
d)1,296

Please help! I don't understand!

Answers

Answer: a)24,576

Step-by-step explanation:

Given: A population of reproducing guppies quadruples every month.

The population of guppies in the beginning = 6

In First month, the population of guppies = 4*6=24

In Second month, the population of guppies =4*24=4*4*6=4^2\cdot6=96

Continue like this,

In 6 months, the population of guppies =4^6\cdot6=24576

6x4=24 guppies 1st month
24x4=96 guppies 2nd mo.
96x4=384 ,3rd mo.
384x4=1,536, 4th mo.
1,536x4=6,144, 5th mo.
6,144x4=24,575, 6th mo.
So, A.

The ratio of Sam age to Hanks is 5 to 3. If the sum of their ages is 24, how old is Hank?

Answers

How to solve this:

1. 5x + 3x = 24
2. x(5+3) = 24
3. x = 24/(5+3)
4. x = 24/(8)
5. x= 8
6. 5*3 = 15 (Sam) 3*3 = 9 (Hanks)
15 and 9 are the two ages so so hank is 9. 

Which property of multiplication is shown below?If x = a + bi and y = c + di, x × y = y × x.

Answers

There are four properties of multiplication namely commutative, associative, multiplicative identity and distributive. The equation given defines the commutative property of multiplication where two numbers are multiplied, the product will still be the same no matter what is the order of the multiplicands.

Answer:

Step-by-step explanation:

The given values of x and y are:

x=a+bi and y=c+di

Then, using the commutative property which states that it is a binary operation in which ab=ba whenever you change the order of the operands.

Therefore, xy=yx

(a+bi)(c+di)=(c+di)(a+bi)

ac+bci+adi+bdi^2=ca+dai+cbi+dbi^2

ac+(bc+ad)i-bd=ca+(da+cb)i-db

Thus, commutative property of multiplication is as shown above.

4 is what percent of 20

Answers

20%
Finding percentage u have to
Divide 4/20= 0.2 then multiply by 100 to get percentage which is 20%

On a new construction site, an electrician can install a new light fixture in 20 minutes. A project calls for 24 new fixtures to be installed on each of 4 floors. If a work day is 8 hours, how many work days will it take two electricians to complete the installations?

Answers

20 minutes per fixture.
24 fixtures per floor. = 20*24 = 480 minutes per floor
4 floors. = 1920 minutes total.
1920 minutes = 32 hours (divide by 60)

32 hours/2 electritians = 16 hours per person
16 hours per person/8 hours per work day = 2 work days.
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