Answer:
The height of the shipping carton is
9in
Step-by-step explanation:
This problem bothers on the mensuration of solid shapes. Rectangular prism.
Given data
Volume of prism = 90in³
Area of base = 10in²
We know that the volume of a rectangular prism is expressed as
V= l*w*h
Where l= length
w= width
h= height
But our given area = l*w=10in²
Substituting our given data we have
V= A*h
90=10*h
h=90/10
h= 9 in
Answer:
by combining like terms.
Step-by-step explanation:
so you look at what you are given and you see that you have 1x and no other x's. you see that you are given 1y and 2 more y's therefore having 3y's since theyre both positive so you add them. you then see that you have a 4 and a 1 left over, which add to make 5. hope this helped!!!
Answer:
No, x can't equal zero.
Step-by-step explanation:
substitute x for zero. now the equation says 4+0+2>8
4+2 is 6 so 6 < 8. 6 is less than 8 not greater, therefore x can't be zero
Answer:
a=25,b=-23
Step-by-step explanation:
f(x)=6x-5
a. f(5)=6(5)-5
f(5)=30-5
f(5)=25
b. f(-3)=6(-3)-5
f(-3)= -18-5
f(-3)=-(18+5)
f(-3)=-(23)
f(-3)=-23
<u><em>Answer:</em></u>
Part a .............> x = 11
Part b .............> k = 57.2
Part c .............> y = 9.2
<u><em>Explanation:</em></u>
The three problems deal with inverse variation between two variables
An inverse variation relation between two variables means that when one of the variables increases, the other will decrease (and vice versa)
<u>Mathematically, an inverse variation relation is represented as follows:</u>
where x and y are the two variables and k is the constant of variation
<u><em>Now, let's check the givens:</em></u>
<u>Part a:</u>
We are given that y = 3 and k = 33
<u>Substitute in the original relation and solve for x as follows:</u>
<u>Part b:</u>
We are given that y = 11 and x = 5.2
<u>Substitute in the original relation and solve for k as follows:</u>
<u>Part c:</u>
We are given that x=7.8 and k=72
<u>Substitute in the original relation and solve for y as follows:</u>
to the nearest tenth
Hope this helps :)