Answer: x = 2 and y = -4
x + 2y = -6
x = -6-2y
Putting this in value of x in
6x + 2y = 4
6(-6-2y) + 2y = 4
-36-12y+2y = 4
-10y = 4+36
y = 40/(-10)
y = -4
Now putting this value of y in
x + 2y = -6
x + 2(-4) = -6
x -8 = -6
x = -6+8
x = 2
Therefore x = 2 and y = -4
If we put these values we can check this
x + 2y = -6
2 + 2(-4) = -6
2 -8 = -6
-6 = -6
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Answer:
12 11/35
Step-by-step explanation:
Given Data
First term= 15 3/5
To simple fracrion= 78/5
Second term= 3 2/7
To simple fracrion= 23/7
Hence the operation goes thus
= 78/5- 23/7
LCM = 35
=546-115/35
=431/35
=12 11/35
Answer:
or
Step-by-step explanation:
Let
x ----> the additional pounds of plant food needed for the landscaper
we know that
The additional pounds of plant food needed for the landscaper plus the pounds in his truck plus the pounds in his shop must be equal to the total pounds of plant food needed
so
The linear equation that represent this problem is
Convert mixed number to an improper fractions
Substitute in the expression above
solve for x
Multiply by (4*6) both sides to remove the fractions
Combine like terms left side
subtract 46 both sides
Divide by 24 both sides
simplify
Convert to mixed number
Answer/Step-by-step explanation:
a. Volume of hemisphere = ½(⁴/3πr³)
r = 30 cm
Volume = ½(⁴/3 × π × 30³)
Volume = ⅔ × π × 27,000 = 56,548.6677 ≈ 56,549 cm³
b. 4,500 cm³ = 1 min
56,549 cm³ = (56,549 × 1)/4,500
= 12.5664444 ≈ 12.6 mins
This expression has 1 term. Why? A term consists of a set of numbers with or without any basic operations. For example, Terms can be represented as 1x + 6. That is two terms because they are separated with an addition sign. So from that knowledge, let's see our options.
1.) Cubic Monomial. Cubic is any number raised to the third power. Since the x is raised to the third power, you can figure it out easily. This only has one term therefore, it is a Monomial. Monomial has a prefix of "Mono=One"
2.) Quadratic Monomial. There is no value raised to the 2nd power (Quadratic)
3.) This only has one term therefore cannot be a Trinomial (Three terms)
Number 1 is the best choice.
