Help please algebra 2

The quotient of two times a number and 5 is no more than 14.

OlgaM077 [116]

Answer:

2x/5 <14

Step-by-step explanation:

7 0

2 years ago

THESE ARE SEPARATE QUESTIONS THAT I DECIDED TO COMBINE:

saul85 [17]

1). Her walking pace is (1.75 miles) / (50 minutes).

If you want it in units of (miles per hour), do it like this:

   (1.75 miles / 50 minutes) x (60 minutes / 1 hour)

   = ( 1.75 x 60 / 50 ) miles per hour.

2). The average change was

   (30 - 45) degrees / (5 minutes) .

I'm sure you can do the division and make an integer out of that.

3). Each bracelet cost $3.10.
Caroline bought five of them, so she spent $3.10 five times.
Either do the multiplication, or else write down $3.10 five times
and do the addition.

4). In order to factor the expression, the two terms would need
to have some common factor ... both terms need either a power
of 'x', or they need two numbers that have a common factor.
They don't both have an 'x', and 13 and 10 have no common factor.

5). Todd earned 'T' dollars.
Twice what Todd earned is 2T .
$350 more than that is 2T+350 .
The question says that 2,500 is exactly that amount,
so you can write
      2T + 350 = 2,500

Subtract 350 from each side:    2T    = 2,150

Divide each side by 2: (you can finish it now)

8 0

3 years ago

What is the measure of ZBVE? A. 135 o B. 75 d C. 45° O D. 60°

nalin [4]

Answer:

This is an equilateral triangle so it must also be equiangular. A triangle must have 180 degrees and has three angles so 180/3 = 60. Each angle is 60 degrees.

Step-by-step explanation:

3 0

2 years ago

The diameter and height of a right circular cylinder are found at a certain instant to be 10 centimeters and 20 centimeters, res

Andrej [43]

Answer:

Step-by-step explanation:

Here's the formula for the volume of a right circular cylinder:

$V=\pi r^2h$

Here's what we are given and what we need to find:

Given that d = 10 cm, h = 20 cm, dd/dt = 1 cm/sec

Need to find dh/dt when V is constant

Since our formula has a radius in it and not a diameter but the info given is a diameter, we can use the substitution that

$2r =d$ so

$r=\frac{1}{2}d$

Now we can rewrite the formula in terms of diameter:

$V=\pi (\frac{1}{2}d)^2h$ which simplifies down to

$V=\frac{\pi }{4}d^2h$

Now we will take the derivative of this equation with respect to time using the product rule. That derivative is

$\frac{dV}{dt}=\frac{\pi }{4}[d^2*\frac{dh}{dt}+2d\frac{dd}{dt}*h]$

Now we can fill in our values. Keep in mind that if the volume is constant, there is no change in the volume, so dV/dt = 0.

$0=\frac{\pi }{4}[(100\frac{dh}{dt}+2(10)(1)(20)]$ and

$0=\frac{\pi }{4}(100\frac{dh}{dt}+400)$

Multiply both sides by pi/4 to get

$0=100\frac{dh}{dt}+400$ and solve for dh/dt:

$-4=\frac{dh}{dt}$

Interpreted within the context of our problem, this means that the volume will be constant at those given values of diameter and height when the liquid in the cylinder is dropping at a rate of 4 cm/sec.

4 0

3 years ago

1. [5 pt.] For each of the following variables about students in RBS, determine whether the variable is categorical or numerical

Ksju [112]

Answer:

(a) City where a student was born

Categorical nominal scale

(b) Absolute distance between a student’s home and a stat. classroom

Numerical ratio scale

(c) Current account balance of a student’s checking bank account (considering debt/loan)

Numerical ratio scale

(d) Number of credit cards that a student has

Numerical discrete interval scale

(e) Floor level on which a student spent time the most during the last semester

Categorical ordinal scale

Step-by-step explanation:

Let's recall the concepts first:

<h3>Categorical variable </h3>

Is a variable that can take one value from a limited set of choices, for example “blood type (A+, AB-,etc)”, “hair color (black, red, etc)”, “country of origin”, “level of instruction (elementary, high school, college, etc)”

The categorical variable is measured in a nominal scale if there is no intrinsic order in the variable, for example if the variable is “gender”, there is no intrinsic reason to think that “male” comes before “female” or vice versa.
The categorical variable is measured in an ordinal scale if there is some intrinsic order in the values. For example if the variable is “level of instruction” we can order it from less to high (elementary, high school, college graduate, masters degree, PhD degree) or from high to low.

<h3>Numerical variable </h3>

As the name suggests is a variable that can take numerical values, for example “height”, “weight”, “number of people who smoke in Minnesota”

The numerical variable is discrete if it only takes inter values, for example “number of flights that land to JFK airport every day”
The numerical variable is continuous if it can take either integer or non integer values, for example “distance between to points in the plane”

The numerical variable is measured in an interval scale if we can determine both the order and difference between the two numbers but the ratio of the values is meaningless. For example if the variable is “year of birth” 1957 and 2001 would be two instances of the variable but 1957/2001 or 2001/1957 are meaningless.
The numerical variable is measured in a ratio scale if we can determine both the order and difference between the two numbers and the ratio of the values is meaningful. For example if you have two salaries, let's say A=$60,500 and B=$90,750, the ratio 90,750/60,500 =1.5 is meaningful because is telling us that salary B is 50% greater than A.

Once we have these concepts clear, we can determine the type of variable of the problem

(a) City where a student was born

Categorical nominal scale

(b) Absolute distance between a student’s home and a stat. classroom

Numerical ratio scale

(c) Current account balance of a student’s checking bank account (considering debt/loan)

Numerical ratio scale

(d) Number of credit cards that a student has

Numerical discrete interval scale

(e) Floor level on which a student spent time the most during the last semester

Categorical ordinal scale

6 0

3 years ago