Answer/Step-by-step explanation:
a. 3x + 13 = 12x - 2x
Add like terms
3x + 13 = 10x
3x = 10x - 13 (subtraction property of equality)
3x - 10x = - 13 (substraction property of equality)
-7x = -13
-7x = -13/-7 (division property of equality)
x = 13/7
b. 6j - 12 + 4j - 8 = 10
Add like terms
6j + 4j - 12 - 8 = 10
10j - 20 = 10
10j = 10 + 20 (addition property of equality)
10j = 30
10j/10 = 30/10 (division property of equality)
j = 3
c. 10y - 4y = 14 + 2y - 3y
Add like terms
6y = 14 - y
6y + y = 14 (addition property of equality)
7y = 14
7y/7 = 14/7
y = 2
d. 4p + 8 - 3p = 33
Add like terms
4p - 3p + 8 = 33
p + 8 = 33
p = 33 - 8 (subtraction property of equality)
p = 25
Answer:
<em>Given</em><em> </em><em>diameter</em><em> </em><em>=</em><em>1</em><em>2</em><em> </em><em>cm</em><em> </em>
<em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em>Then</em><em> </em><em>radius</em><em> </em><em>=</em><em> </em><em>1</em><em>2</em><em>/</em><em>2</em><em> </em><em>=</em><em> </em><em>6cm</em>
<em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em>Height</em><em> </em><em>=</em><em> </em><em>8cm</em>
The length of the field is 48 yard while the width of the field is 16 yards.
My Work/Reasoning:
Say that the width is "x" yards.

The length of the field is three times longer than the width.

The perimeter of the rectangle is 128 yards.

To get the perimeter of a rectangle you multiply the sum of the length and the width by two.

Then you follow order of operations and add x and 3x.

Then you multiply.

After that, you divide 8 on both sides to get the width (total) in yards.

Then you divide that to get the width.

Finally, to get the length of the field, you multiply the width of the field by three to get its length.
Using the distributive property, an equivalent expression would be 6-16y
Comment the correct answer.
Answer:
For a bilateral test the p value would be:
Step-by-step explanation:
Information given
n=225 represent the sample selected
X=87 represent the households with incomes below the poverty level
estimated proportion of households with incomes below the poverty level
is the value that we want to test
z would represent the statistic
represent the p value
System of hypothesis
We want to check if the true proportion is equal to 0.32 or not.:
Null hypothesis:
Alternative hypothesis:
The statistic is given bY:
(1)
Replacing we got:
For a bilateral test the p value would be: