MATHEMATICS
MIDDLE SCHOOL

separated by 6 inches. What is the actual distance between the two schools if the scale of the

map is 3 inches = 11 miles?

Answer:

Since 3 inches is to 11miles, 6 inches is (6/3*11)miles. That's 22miles

HIGH SCHOOL

4,822.775 rounded to the nearest cent

Rounding to cents means rounding to hundredths. Since the place to the right of the hundredths place is a 5, we round up, for a result of $4,822.78.

MIDDLE SCHOOL

What are these < > =???????????

Answer:

< means less than

> means greater than

= means equal to

≥ means greater than or equal to

≤ means less than or equal to

Step-by-step explanation:

These Are Less Than() Symbols!!

Hope This Helps!!!

HIGH SCHOOL

Identify the trinomial that is a perfect square. 81x^2 − 70x 16 64x^2 − 90x 25 81x^2 − 72x 16 64x^2 − 70x 25

Hmm

(a+b)^2=(a+b)(a+b)=a^2+2ab+b^2

basically

for

ax^2+bx+c

it is a perfect trinomial when

b=2(√a)(√c)

remember to take both positive and negative roots into consideration

because

(a+b)^2=a^2+2ab+b^2 and

(a-b)^2=a^2-2ab+b^2

see each

first one

-70=2(9)(4)

-70=72

false

second

-90=2(8)(5)

-90=80

false

third

-72=(9)(4)

-72=72

false

but, the last one could be negative

(9x-4)^2 is factor

that is the answer

the answer is 81x^2-72x+16

(a+b)^2=(a+b)(a+b)=a^2+2ab+b^2

basically

for

ax^2+bx+c

it is a perfect trinomial when

b=2(√a)(√c)

remember to take both positive and negative roots into consideration

because

(a+b)^2=a^2+2ab+b^2 and

(a-b)^2=a^2-2ab+b^2

see each

first one

-70=2(9)(4)

-70=72

false

second

-90=2(8)(5)

-90=80

false

third

-72=(9)(4)

-72=72

false

but, the last one could be negative

(9x-4)^2 is factor

that is the answer

the answer is 81x^2-72x+16

MIDDLE SCHOOL

How do I write this number in scientific notation 0.0072

7.2 * 10^−3 is how you would write 0.0072 in scientific notation

MIDDLE SCHOOL

A drinking glass is shaped like a cylinder with a height of 5 in. and a diameter of 3 in. Maeva adds 25 spherical pieces of ice to the glass. The pieces of ice each have a diameter of 1.1 in. How many cubic inches of water can Maeva add to fill the glass to the rim? Use 3.14 to approximate pi and round your answer to one decimal place.

First find volume of glass

find volume of ice

subtract

cylinder area=height times are of base

height=5

area of base=circle=pi times radius^2

diameter=2radius

diameter/2=radius

3/2=radius=1.5

pi=aprox 3.14

3.14 times 1.5^2=7.065

7.065 times 5=35.325=volume of glass

25 spereical ice

volume of shqere=4/3 times pi timers r^3

diameter/2=r

1.1/2=0.55

4/3 times 3.14 times 0.55^3=0.696557=1 ice

multiply by 25

17.4139

subtract

35.325-17.4139=17.9111

round to one decimal place

17.9

the answer is 17.9 cubic inches or

17.9 in^3

find volume of ice

subtract

cylinder area=height times are of base

height=5

area of base=circle=pi times radius^2

diameter=2radius

diameter/2=radius

3/2=radius=1.5

pi=aprox 3.14

3.14 times 1.5^2=7.065

7.065 times 5=35.325=volume of glass

25 spereical ice

volume of shqere=4/3 times pi timers r^3

diameter/2=r

1.1/2=0.55

4/3 times 3.14 times 0.55^3=0.696557=1 ice

multiply by 25

17.4139

subtract

35.325-17.4139=17.9111

round to one decimal place

17.9

the answer is 17.9 cubic inches or

17.9 in^3

MIDDLE SCHOOL

You are paid $78 for 61/2 hours of work. What is your rate of pay?

You are paid $78 for 61/2 hours of work.

Question: What is your rate of pay?

=> 78 dollars = is the money paid to you

=> 6 and ½ is the time you rendered for work

=> 6 and half hours = 6.50 hours or 6 hours and 30 minutes

Solution:

=> 78 dollars / 6.5 hours = 12 dollars.

Thus, your rate is 12 dollars per hour (12 dollars/h)

Question: What is your rate of pay?

=> 78 dollars = is the money paid to you

=> 6 and ½ is the time you rendered for work

=> 6 and half hours = 6.50 hours or 6 hours and 30 minutes

Solution:

=> 78 dollars / 6.5 hours = 12 dollars.

Thus, your rate is 12 dollars per hour (12 dollars/h)

MIDDLE SCHOOL

What is the solution to the equation x + 5.7 = 6.1? x = 0.4

x = 0.6

x = 1.4

x = 11.8

The solution is X=0.4

The answer is the first one

COLLEGE

Each player rolls two six sided die once each and the sum of the highest roll wins. The first player rolls a 3 and 4 so that his sum is 7, what is the probability that the secon player will win

Answer:

5/12 or 41.66%

Step-by-step explanation:

When throwing two six-sided dice, you have 36 possible outcomes:

{1,1} {1,2} {1,3} {1,4} {1,5} {1,6} {2,1} {2,2} {2,3} {2,4} {2,5} {2,6} {3,1} {3,2} {3,3} {3,4} {3,5} {3,6} {4,1} {4,2} {4,3} {4,4} {4,5} {4,6} {5,1} {5,2} {5,3} {5,4} {5,5} {5,6} {6,1} {6,2} {6,3} {6,4} {6,5} {6,6}

To find what is the probability the second player will win, we need to see how many of those 36 possibilities have a combined total of 8 or more (to beat the 7 of the first player):

These 15 combinations have a total of 8 or more:

{2,6} {3,5} {3,6} {4,4} {4,5} {4,6} {5,3} {5,4} {5,5} {5,6} {6,2} {6,3} {6,4} {6,5} {6,6}

So, the probability the second player gets 8 or more and wins is:

15/36 or 5/12 or 41.66%

COLLEGE

What number set does -18 belong to

-18 is an integer

also, a rational number and a real number.

also, a rational number and a real number.