Answer:
x=1+2/15
Step-by-step explanation:
4(5x-3)=5x+5=118
We move all terms to the left:
4(5x-3)-(5x+5)=0
We multiply parentheses
20x-(5x+5)-12=0
We get rid of parentheses
20x-5x-5-12=0
We add all the numbers together, and all the variables
15x-17=0
We move all terms containing x to the left, all other terms to the right
15x=17
x=17/15
x=1+2/15
The teacher would need 40 centimeters of tape to hang 10 student projects.
Step-by-step explanation:
Given,
Tape used to hang projects = 36 centimeters
Number of projects hanged = 9
We will find unit rate;
9 projects = 36 centimeters
1 project = \frac{36}{9}\ centimeters
9
36
centimeters
1 project = 4 centimeters
Therefore,
Tape needed to hang 10 projects = 4*10 = 40 centimeters
The teacher would need 40 centimeters of tape to hang 10 student projects.
Keywords: unit rate, multiplication
Answer:
The function that would correctly calculate the 90% range of likely sample means is given by:
B. 4,200±CONFIDENCE.T(0.10,140,12)
Step-by-step explanation:
In Microsoft Excel, the syntax
returns the confidence interval for the population mean, using the students T-distribution.
The standard deviation is given as $140 and the sample size is 12.
In constructing the confidence interval we use:
Let us substitute the values to get:
We use the T distribution because
is unknown
<h2>Steps</h2>
So the 45-45-90 triangle is considered to be a "special triangle" and has a rule with it. If the legs are x, then the hypotenuse is x√2. Since we know that the hypotenuse is 18, this means we can set up our equation as such:

From here we can solve for x. Firstly, divide both sides by √2.

Next, we want to simplify this expression and to do that we first have to rationalize the denominator. With the right side, multiply the numerator and denominator by √2:

Next, divide:

<h2>Answer</h2>
<u>In short, the length of one leg of the triangle is 9√2 cm.</u>
These triangles are congruent by AAS condition hence the statement is true