Answer:
the
Step-by-step explanation:
the comen factor are 10-15+20-30
and Factor the entire expression completely.
are n and 2
Answer: k= One- seventh of m.
Step-by-step explanation:
Given equation : 8k + 2m=3m +k ,where k and m are variables
To solve for k, Subtract 2m from both sides,we get
⇒8k+2m-2m=3m-2m+k
Simplify
⇒ 8k=m+k
Subtract k from both sides, we get
⇒ 8k-k=m+k-k
Simplify
⇒ 7k=m
Divide 7 from both the sides, we get
⇒ k=1/7m
⇒ k=one-seventh of m...........>here is the answer.
The correct question is
The raised vegetable garden in Susan's yard is in the shape of a rectangular prism with a volume of 48 cubic feet and a height of 3/4 foot. <span>The base of the rectangular prism is not a square and the width is greater than 2 feet. What is the length and width of the rectangular prism?
let
x-------> the length of the base of the rectangular prism
</span>y-------> the width of the base of the rectangular prism
<span>
we know that
volume of the prism=area of the base*height
volume=48 ft</span>³
<span>height of the prism=3/4 ft
area of the base=volume/height--------> 48/(3/4)---> 48*4/3----> 64 ft</span>²
<span>
area of the base=64 ft</span>²
<span>area of the base=x*y
64=x*y--------> equation 1
y=x+2--------> equation 2
substitute equation 2 in equation 1
64=x*[x+2]-----> 64=x</span>²+2x------> x²+2x-64=0
<span>
using a graph tool----> to resolve the second order equation
see the attached figure
the solution is
x=7.062 ft
y=x+2-----> y=7.062+2-----> y=9.062 ft
the answer is</span>
the length of the base of the rectangular prism is 7.062 ftthe width of the base of the rectangular prism is 9.062 ft<span>
</span>
Answer:
765
Step-by-step explanation:
The art teacher has 30 boxes of 16 crayons.
16 crayons x 30 boxes = 480 crayons
She gives the students 10 of the 30 boxes, leaving her with 20.
16 crayons x 20 boxes = 320 crayons that the art teacher has left.