MATHEMATICS
MIDDLE SCHOOL

Answer:

Answer:

$322.5

Step-by-step explanation:

First you divide $715 by 2. Then your answer $357.5 subtract $35.

MIDDLE SCHOOL

The distance traveled (in feet) by the three-toed sloth can be modeled by f(s) =2.3s, where s is the time in minutes. Find the distance traveled in 48.2 minutes.

We know that and

Substitute in the value.

Use a calculator to multiply.

MIDDLE SCHOOL

Wilson goes hiking every 9 days and swimming every 6 days .He did both of the kind of exercise today how many days from now will you go both hiking and swimming again LCM

To do this, we need to find the LCM of 6 and 9. This can be found by listing out some multiples of each and then finding the first one they have in common:

Multiples of 6: 0, 6, 12, 18, 24, 30, 36

Multiples of 9: 0, 9, 18, 27, 36, 45

The first multiple they have in common is 18, so that is the amount of days until he will hike and swim on the same day. Note that both lists have 36, but this is not the answer since it is not the smallest multiple that they have in common.

Multiples of 6: 0, 6, 12, 18, 24, 30, 36

Multiples of 9: 0, 9, 18, 27, 36, 45

The first multiple they have in common is 18, so that is the amount of days until he will hike and swim on the same day. Note that both lists have 36, but this is not the answer since it is not the smallest multiple that they have in common.

56 hikeing and swimming

MIDDLE SCHOOL

32.043 in expanded form?

32.043=30+2+0.04+0.003

HIGH SCHOOL

Four times the sum of a number and 15 is at least 120. Let x represent the number. Find all possible values for x.

Four times the sum of a number and 15 is at least 120

Let ‘x’ represent the number.

"The sum of a number and 15"

This can be written mathematically as x + 15

Given that 4 times this sum is at least 120,

This means that 4 times the sum is greater than or equal to 120

This can be written mathematically as 4(x + 15) >= 120

Solving for x

4(x + 15) >= 120

4x + 60 >= 120

4x >= 120 – 60

4x >= 60

x >= 60/4

x >= 15

x is greater than or equal to 15

Let ‘x’ represent the number.

"The sum of a number and 15"

This can be written mathematically as x + 15

Given that 4 times this sum is at least 120,

This means that 4 times the sum is greater than or equal to 120

This can be written mathematically as 4(x + 15) >= 120

Solving for x

4(x + 15) >= 120

4x + 60 >= 120

4x >= 120 – 60

4x >= 60

x >= 60/4

x >= 15

x is greater than or equal to 15

MIDDLE SCHOOL

Which choice explains the correct way to move the decimal to find the quotient in the problem 31.28 ÷ 100? A. 2 places to the right B. 3 places to the right C. 2 places to the left D. 3 places to the left

I would say move it over 2 places to the left.... so the answer is 0.3128

I hoped that this helped

I hoped that this helped

A) two places to the left

HIGH SCHOOL

What two numbers add up to -7 but multiply to -18

Since the two numbers multiply to form a negative number, we know one has to be positive and the other has to be negative. The only numbers that can add up to -7 and also multiply to -18 are 2 and -9.

-9+2=-7

2×-9=-18

-9+2=-7

2×-9=-18

HIGH SCHOOL

An angle whose measure is -120 is in standard position. In which quadrant does the terminal side of the angle fall

I believe it falls in the 3rd quadrant

MIDDLE SCHOOL

Which choice gives 5 as a quotient 1 + 4 = 5, 100 / 20 = 5, 2.5 x 2 = 5, 32 - 27 = 5?

a quotient is the answer to a division problem

so the answer would be 100 /20 = 5

100 / 20 = 5

Hope it helped!

Hope it helped!

MIDDLE SCHOOL

Consider the following funtion: f(x) = 2x 3x2 − 3 What is the domain of the function? What is the range of the function?

Answer:

Step-by-step explanation:

Given is a function as

We find that this funciton is undefined for denominator =0

Denominator =0 when

Hence function is not defined for x=1,-1

Domain is R-{-1,1}

To find range:

We see that denominator has degree 2 and numerator degree 1

i.e. denominator has more degree of x then numerator

Hence y=0 is horizontal asymptote

But when y=0 we have x=0

Hence though there is a horizontal asymptote range is the set of all real numbers

Domain = R-{-1,1}

Range = R

Answer:

What is the function

f(x) = 2x / (3x^2 - 3)

???

Domain: R \ {-1 ; 1}

Range: R