a miner found three pieces of gold in an under ground mine in 1970 (in 1970 one ounce of gold cost 36.02$). The pieces weighed .080 ounce, .122 ounce, and .096 ounce. Find the total value of gold when it was mined.
Answers
The total value of gold when it was mined was $10.73.
In 1970, one ounce of gold cost $36.02. A miner found three pieces of gold in an underground mine in 1970.
The pieces weighed 0.080-ounce, 0.122 ounce, and 0.096 ounce. To find the total value of gold when it was mined, you need to multiply the weight of each piece of gold by the price per ounce in 1970 and add the results. To do so, let's find the value of each of the three pieces of gold: Value of first piece = 0.080 ounce × $36.02/ounce = $2.88Value of second piece = 0.122 ounce × $36.02/ounce = $4.39Value of third piece = 0.096 ounce × $36.02/ounce = $3.46Now, add up the value of all three pieces to find the total value of gold: $2.88 + $4.39 + $3.46 = $10.73
Therefore, the total value of gold when it was mined was $10.73.
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Assume that random guesses are made for nine multiple choice questions on an SAT test, so that there are nequals9 trials, each with probability of success (correct) given by p equals 0.35. Find the indicated probability for the number of correct answers. Find the probability that the number x of correct answers is fewer than 4.
Math Help? 10 points.
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Answer:
Step-by-step explanation:
sin(x) + tan(x) =sin(X) + sin(x)/cos(x)
=sinx(1+1/cosx)
=Sinx(1+secx)
=1+secx/cosecx. (Since sinx=1/cosecx)
Hence LHS=RHS proved
2 + (3 + 4) = (2 + 3) + (2 + 4)
2 + (3 + 4) = 2 + (4 + 3)
Answers
2 + ( 3 + 4 ) = 2 + ( 4 + 3 ) is the correct statement.
What are laws of numbers ?
There are mainly three types of laws in basic mathematics they are commutative law, associative law and distributive law.
Commutative law states a + b = b + a.
Associative law states a + ( b + c ) = ( a + b ) + c.
Distributive law states a(b + c) = ab + ac.
According to the given question we have to determine which statement defines commutative law of addition correctly.
We know a + b = b + a for ∀ a,b ∈ N.
∴ The statement 2 + ( 3 + 4 ) = 2 + ( 4 + 3 ) is the correct statement.
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The correct answer is:
2 + (3 + 4) = 2 + (4 + 3)
Explanation:
The commutative property of addition tells us that the two addends, or numbers being added, can be "flipped around" the addition symbol. The only problem in which this occurs is 2 + (3 + 4) = 2 + (4 + 3) .
b. x = 2, DF = 7, EG = 12
c. x = 2, DF = 6, EG = 6
d. x = 2, DF = 7, EG = 7
Answers
DF is equivalent to EG; Therefore, the equation would be like this:
5x - 3 = x + 5
Transfer 3 and x to their opposite side and change their signs.
5x - x = 5 + 3
4x = 8
Find x. Divide both sides by 4.
4x / 4 = 8 / 4
x = 2
Subsitute x in the equation to find the length of each diagonal.
DF = 5x - 3 = 5(2) - 3 = 10 - 3 = 7 ; DF = 7
EG = x + 5 = 2 + 5 = 7 ; EG = 7
Solution:
by ratio: DF : EG
5x - 3 = x + 5
Solving for x:
5x -x = 5 + 3
x = 2
Substituting x=2 in the expression
DF = 5x -3 = 5(2) - 3 = 7
EG = x + 5 = 2 + 5 = 7
Answers
Answer:
25. Not a function because when you use vertical line test, you came across two points at the same time.
26. This is a function because when you vertical line test, you don't come across two points at the same time.
Step-by-step explanation:
Answers
Answer:
The third choice
Step-by-step explanation:
We need to find the slope and y-intercept of the line and then put it into y = mx = b form. To find the slope, pick a point on the line; I will use (-2, 5); count how many units up you need to go to get to the next point on the line, which in this case it would be 3. The count how many to the right or left you would need to go, which is 1 to the left. Moving left means a negative, so it is -1. Your slope fraction would be , since slope is rise over run. You can sub this fraction in for m in y = mx + b, which will give you a revised equation of y = -3x = b. To find the y intercept, or b, just find the point where the line crosses the y-axis, which is -1. So, the equation is now y = -3x - 1.The correct answer is third choice.
(a) opposite of a sum property
(b) associative property of addition
(c) commutative property of addition
3. name the property illustrated -8+(14)= 14 +(-8)
(a) opposite of a sum property
(b) associative property of addition
(c) commutative property of addition
Answers
and 3 is b