Answer:
8 grams
Step-by-step explanation:
The balance is in equilibrium, so the weights of the two sides are equal.
Let the weight of a square be s.
Left side: 2s + 4
Right side: s + 3(4) = s + 12
The weights are equal, so we set the two expressions equal.
2s + 4 = s + 12
s = 8
Answer: The weight of a square is 8 grams.
Question 2: The first step was the combine the like terms; in this example he is subtracting the 3x on both sides of the =.
<span>6^1/3 * 6^1/4 = 6^x/y
The key to solving this problem is understanding properties of exponents:
If you are multiplying two powers with the same base (in this case the base is 6), the result is the base raised to the power of the two exponents added together.
6^1/3+1/4 = 6^x/y
6^7/12 = 6^x/y
So the product would be 6^7/12
x = 7
y = 12</span>
Step-by-step explanation:
25(2x) + 25(3y)
25 · (2 · x) + 25 · (3 · y)
(25 · 2) · x + (25 · 3) · y <em>Associative property </em><em>(a · b) · c = a · (b · c)</em>
(25 · 2)x + (25 · 3)y
(2 · 25)x + (3 · 25)y <em>Commutative property</em><em> a · b = b · a</em>
<em>50x + 75y</em>
Answer:
(x + 2)(4x - 2).
Step-by-step explanation:
(x+2)(2x+1)+(x+2)(2x-3)
Note that (x + 2) is common to 2 parts of the expression. So we have:
(x + 2)(2x + 1 + 2x - 3)
= Ix + 2)(4x - 2)
The value of the probability P(3≤x<7) is 1
<h3>How to evaluate the probability expression?</h3>
The expression is given as: P(3≤x<7)
This is calculated using:
P(3 ≤ x < 7) = P(3) + P(4) + P(5) + P(6)
Using the figure of the probability density function (see attachment), we have:
P(3 ≤ x < 7) = 0.30 + 0.30 + 0.20 + 0.20
Evaluate
P(3 ≤ x < 7) = 1
Hence, the value of the expression is 1
Read more about probability density function at:
brainly.com/question/15318348
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