Answer:
Already simplified.
Step-by-step explanation:
The only way to simplify an expression is to combine like terms. Like terms is where the variables are exactly the same. t^2 is not the same as t. Thus, cannot combine them, so the expression is already simplified,
Answer:
y = 12
Step-by-step explanation:
Given
Green = 28
Red = 35
Yellow = y
Prediction of yellow = 16 of 100
Required
Determine y
First, we need to calculate the probability of yellow.
Probability of yellow =
Probability = Yellow/Total
Where
Total = Yellow + Red + Green
Total = y + 35 + 28
Total = y + 63
So,
Probability = y/(y + 63)
Also, the prediction of yellow is 16 out of 100.
Represent this as probability.
Probability = 16/100
Equate both expressions to solve for y
y/(y + 63) = 16/100
y/(y + 63) = 0.16
Multiply both sides by (y + 63)
y = 0.16(y + 63(
y = 0.16y + 10.08
Collect like terms
y - 0.16y = 10.08
0.84y = 10.08
Solve for y
y = 10.08/0.84
y = 12
I think it’s a... I think it’s a carrot
Answer:
Then the coordinate of point
is
, and the coordinate of point
is
.
Step-by-step explanation:
Given that,
The upper-left coordinate on a rectangle is
.
The upper-right coordinate on a rectangle is
.
Area of rectangle is
square unit.
Let,
is a rectangle.
The coordinate of point
is
and the coordinate of point
is
.
Diagram of rectangle
is shown below:
Now,




∵Area of rectangle = Length
Breadth
square unit =

∴ Breadth 


⇒ 

squaring both sides, we get
⇒ 
⇒
= ±
∴
Then the coordinate of point
is
, and the coordinate of point
is
.
Description:
The base of the prism is a square with sides measuring 5 cm, so its area is
(5cm)*(5cm)= 25 square cm
So the volume of the prism, in cubic cm, is
25*12=300
The volume of a pyramid is (1/3)(area of base)(height) .
It is 1/3 of the volume of a rectangular prism with the same base and height.
So the volume of the pyramid in this problem, in cubic cm, is
1/3*300=100
So the volume of the space outside the pyramid but inside the prism, in cubic cm, is
300-100= 200
Answer: =200
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<em><u>Hope this helps.</u></em>