Answer:
(A) 
(b) 
(c) 
(d) 
Step-by-step explanation:
We have given expression and we have to simplify the expression using exponent property
(A) 
So 
(b) 
So 
(c) 
So 
(d) 
Answer:
<u>The number of pens = 120 and the number of pencils = 200</u>
Step-by-step explanation:
Let the number of pens x, and the number of pencils is y
the cost of one pen $1, and the cost of one pencil $0.5
The cost of the whole purchase was $220
1 * x + 0.5 * y = 220
x + 0.5 y = 220 ⇒ eq.(1)
there were 80 more pencils than pens
y - x = 80 ⇒ eq.(2)
from eq.(2) x = y - 80
By substitution with x from the last equation at eq.(1)
∴ (y - 80) + 0.5 y = 220
1.5y = 220 + 80 = 300
y = 300/1.5 = 200
x = y - 80 = 200 - 80 = 120
<u>So, the number of pens = 120 and the number of pencils = 200</u>
Answer:
C
Step-by-step explanation:
x² - 6x + 13 = 0
x² - 2(x)(3) + 3² - 3² + 13 = 0
(x - 3)² = -4
Answer:
30 miles²
Step-by-step explanation:
To solve the area of the prism we have to multiply the area of the base * the height of the prism. The base of the prism is a right triangle.
<em>(b*h)÷2 = Area of a triangle</em>
<em />
<em>Base = 4</em>
<em>Height = 3</em>
<em>Now:</em>
<em>(4*3)/2 = 6 miles²</em>
<em />
<em>Now we have to multiply 6 miles² by 5 as our height.</em>
<em />
<em>We get 30 miles² as the volume of the figure.</em>
Answer:
C. -36 3/10
Step-by-step explanation:
4 2/5 = 22/5
22/5 = 4.4
4.4(-8.25)
-36.3 = -36 3/10
Have a great day :3