In order to determine the number of pens present in the container, we need to set up equations from the given in the problem statement. We do as follows:
let x the number of pencils
y the number of pens
From the statement, 9 more pencils then pens in a container,
x = y + 9
From the statement, there are 25 writing utensils in the container in all,
x + y = 25
We use substitution method to calculate for x and y,
y + 9 + y = 25
2y = 16
y = 8
x = 17
Therefore, there are 8 pens in the container and 17 pencils.
Answer:
53
Step-by-step explanation:
To evaluate 6x + 11, we must substitute the value of x.
Since we know that x = 7, it is easier to evaluate the expression;
6x + 11
6(7) + 11
Since 6 is outside the parenthesis, we must multiply everything inside the parenthesis by 6;
6(7) + 11
42 + 11
When you add the two numbers you get:
53
The best way to find your answer is to divide 193 by 400 to get .4825 and to make sure if it is the answer you take 400 and multiply .4825 and it will be 193 so .4825 = 48.25%
Answer:
length is 15.5 and the width is 12.5
Step-by-step explanation:
Length rectangle = 3cm. longer than its width.
Rectangle perimeter = 56 cm.
find its dimensions?
P = 2L +2w
L= w + 3
P= 56
P = 2L +2w
56 = 2(w+3) +2(w)
56 = 2w +6 + 2w
4w= 56 - 6
4w = 50
w = 50/4
w = 12.5
L= 12.5 +3 = 15.5
L= 15.5
Solution:
Length= 15.5 cm
Width = 12.5 cm
i know it looks complex but i hope this helps :)
The sample size should be 250.
Our margin of error is 4%, or 0.04. We use the formula

To find the z-score:
Convert 98% to a decimal: 0.98
Subtract from 1: 1-0.98 = 0.02
Divide both sides by 2: 0.02/2 = 0.01
Subtract from 1: 1-0.01 = 0.99
Using a z-table (http://www.z-table.com) we see that this value has a z-score of approximately 2.33. Using this, our margin of error and our proportion, we have:

Divide both sides by 2.33:

Square both sides:

Multiply both sides by n:

Divide both sides to isolate n: