2x + 6 = 4x/2 + 12/2
To solve this, we need to transpose like terms to the same side.
2x - 4x/2 = 12/2 - 6
2x - 2x = 6 - 6
0 = 0
Since both sides are zero, it means that the equation has infinite number of solutions.
Answer:
9.8 ( to the nearest tenth )
Step-by-step explanation:
calculate the distance using the distance formula
d = √( x₂ - x₁ )² + ( y₂ - y₁ )²
with (x₁, y₁ ) = (- 7, - 5) and (x₂, y₂ ) = (- 3, 4)
d = 
= 
= 
= 9.8
The correct answer is A: a steel building.
Explanation:
A steel building will have the lowest premiums out of all the choices given above. After reading several insurance companies policies, a steel building has premiums 30% lower than any other homeowner policy. Steel is harder to destroy in a fire and the damage would be less than a wood home, mixed composition, or even an all brick home.
A wood home has the highest premiums out of all the choices given. When one catches on fire, they will burn fast and usually is a total loss unless the fire trucks get there in minutes.
A brick home can still be destroyed by fire on the inside even if the damage is minimal on the outside of the home.
A mixed composition home, will also be damaged by fire and could be a total loss unless fire trucks are there within minutes.
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A function assigns the values. The cost of 6 CDs will be $32.
<h3>What is a Function?</h3>
A function assigns the value of each element of one set to the other specific element of another set.
Given that the Recycled CDs. Incorporated, offers a choice of 5 used CDs for $27, with each additional CD costing $5. Therefore, a cost function for purchasing 5 or more CDs, where x represents the number of CDs over 5 can be written as,
C(x) = $27 + $5(x)
Now, if 6 CDs are purchased then the number of CDs that are more than 5 is 1. therefore, the cost of 6 CDs will be,
C(1) = $27 + $5(1)
= $27 + $5
= $32
Hence, the cost of 6 CDs will be $32.
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Answer:
answer is 0.001254.
Step-by-step explanation:
Given that you invested in 3 stocks of Engineering Aces, Upton Clothiers, and Thompson Musical Instruments.
Also given that each stock value is independent of the other.
Let E be the event changing in value by more than 10% in a given week for Engineering Aces,
U be the event changing in value by more than 10% in a given week for Upton Clothiers, and T be the event changing in value by more than 10% in a given week for Thompson Musical Instruments.
Given that P(E) = = 19%
P(U) = 11%
P(T) = 6%
probability that all three will change by more than 10% in the same week
= P(EUT)
= P(E) P(U) P(T) since three events are independent.
=0.19(0.11)0.06
= 0.001254
