By definition of percentages, we conclude that Montraie has 10 coins saved in his box that come from a collection with a total of 50 coins.
<h3>How to calculate the quantity of coins in a collection</h3>
In this question we know the quantity of coins in a box and such coins are part of the <em>coin</em> collection. By definition of percentage we have the <em>total</em> quantity of coins in the collection:
x = 10*(100/20)
x = 50
By definition of percentages, we conclude that Montraie has 10 coins saved in his box that come from a collection with a total of 50 coins.
To learn more on percentages: brainly.com/question/13450942
#SPJ1
Answer:

Step-by-step explanation:
Hello There!
<u>Geometry</u>
The angles shown represented by the expressions (11x + 5) and (5x+59) are vertical angles
Vertical angles are congruent so we can use this equation to solve for x
<u>Basic Algebra</u>
11x + 5 = 5x + 59
step 1 subtract 5x from each side
5x - 5x cancels out
11x - 5x = 6x
now we have 6x + 5 = 59
step 2 subtract each side by 5
5 - 5 cancels out
59 - 5 = 54
now we have 54 = 6x
step 3 divide each side by 6
6x/6=x
54/6=9
we're left with x = 9
now we want to plug in 9 into x for one of the expression
11(9) + 5
11 * 9 = 99
99 + 5 = 104
so we can conclude that the measure of the angle labeled ( 11x + 5 ) is 104 degrees
Now we need to find z
<u>Geometry</u>
The angle with a measure of 104 and angle Z are supplementary angles meaning that the sum of the two is 180
So to find z we subtract the known angle (104) from 180
180 - 104 = 76
so we can conclude that z = 76
Answer:

Step-by-step explanation:
we know that
Using proportion

Hello ,
We know that a sum of six is only possible when the outcome is (6,6).
Also, Sample space = 36
Hence, Probability of getting sum as 12 is 1/36
Hope it helps
Answer:
0.55 = 55% probability that the construction job will be completed on time
Step-by-step explanation:
We have these following probabilities:
0.6 probability there is a strike. In this case, 0.35 probability that the construction will be completed on time.
1 - 0.6 = 0.4 probability that is not a strike. In this case, 0.85 probability that the construction will be completed on time.
What is the probability that the construction job will be completed on time?

0.55 = 55% probability that the construction job will be completed on time