cheryl is organizing her movie collection. if each movie case is 3/4 inch wide, how many movies can fit on a shelf 5 feet wide?

Suppose you are solving an inequality. Under what circumstances do you reverse the inequality symbol? Select all that apply.

gayaneshka [121]

Answer:

When you're dividing, I only know that one. sorry..

Step-by-step explanation:

4 0

3 years ago

What is the value of x?<br> X= 10^2 + 8^2

Luden [163]

$\: \: \: \: \: \: \: \: \: x = {10}^{2} + {8}^{2} \\ x = 164$

Hope it helps

7 0

2 years ago

Read 2 more answers

A 50-gallon tank is filled with a 40% ethanol solution. How much solution should be drained but and replaced with an 80% ethanol

DIA [1.3K]

How do you create your equations when working on a mixture word problem?

Let's try to think about the general form of a word problem involving mixtures.

In general, we have the following scenario:

a merchant sells two kinds of products (coffee, sweets, etc).

we know the unit prices for both kinds of products and for the final mixture

p

1

US dollars per pound for the first kind of product,

p

2

US dollars per pound for the second kind of product

p

m

US dollars per pound for the mixture

we know the total quantity formed by the mixture of the two products (

q

pounds)

we have to find out the quantities of each product needed to form the mixture

(here we have the variables:

x

denoting the quantity of the first kind of product and

y

denoting the quantity of the second kind of product)

Now, we have sufficient information to work out the equations.

First, we know that the sum of the two quantities is

q

pounds, which gives us the first equation:

x

+

y

=

q

Second, we know that the sale price is the product of quantity and unit price, which gives us the second equation:

p

1

x

+

p

2

y

=

p

m

⋅

q

Now, we have a system of two linear equations that can be easily solved by substitution.

3 0

3 years ago

SOMEONE PLEASE HELP ME

Ostrovityanka [42]

Answer:

28, 30, 32

Step-by-step explanation:

Three consecutive even numbers are three even numbers that are next to each other. For example, 2, 4 and 6 would be 3 consecutive even numbers.

With this sort of problem, you want to try to let each number be equal to one thing and then construct the same number of equations as you have variables:

Let's let,

Integer 1 = X

Integer 2 = Y

Integer 3 = Z

X + Y + Z = 90

We also know, that

Y = X + 2

And that

Z = X + 4

Now, we can sub these equations into the first equation. We do this so that we have everything represented as the same variable.

90 = X + (X+2) + (X+4)

90 = 3X + 6

84 = 3X

28 = X

So, the numbers are 28, 30 and 32

8 0

3 years ago

Which function describes the arithmetic sequence shown<br><br> -1, 1, 3, 5, 7, 9, 11, 13, ...

riadik2000 [5.3K]

Answer:

f(n) = 2n - 3 describes the arithmetic sequence,

-1, 1, 3, 5, 7, 9, 11, 13,.......

Step-by-step explanation:

Function:

A function is like a machine that gives an output for a given input.

A function has an independent variable which is called the input of the function.

The output for a given input is called the dependent variable.

Here. 'n' is the independent variable

f(n) is the function dependent variable i.e function of n as an output.

For Arithmetic sequence

$a_{n}= a_{1} + (n-1)d$

Where

$a_{n}$ = nth number of the sequence.

a₁ = First term

d = common difference = a₂ - a₁ = a₃ - a₂ = so on

For a function which describes Arithmetic sequence,

a₁ = -1

d = 1 - -1 =2

∴ f(n) = a₁ + (n -1 )d

substituting the values we get

∴ f(n) = -1 +(n-1)2

using distributive property

∴ f(n) = - 1 + 2n - 2

∴ f(n) = 2n - 3 ..........is the required function

7 0

3 years ago