Answer:
Angle C = 142 degrees
Step-by-step explanation:
A+B = 90
B+C = 180
Rearrange first equation to get B = 90-A
Plug this into the second equation:
90-A + C = 180
C = A + 90
Plug in A, C = 52 + 90 = 142
Input value= number of hours babysat, output value= how much money you get.
Answer:
<u>The sum of their ages now is 13</u>
Step-by-step explanation:
Dally's age = x
Dilly's age = x - 7
In 4 years time Dilly will be half Dally’s age, therefore:
Dilly's age plus four equals to half of Dally’s age plus four,
replacing with the values and variables we know:
x - 7 + 4 = (x + 4) /2
x - 3 = (x + 4) /2
2x - 6 = x + 4 (Multiplying by 2 at both sides)
2x - x = 4 + 6 (Like terms)
x = 10 ⇒ x - 7 = 3
<u>The sum of their ages now is 13 (10 + 3)</u>
Answer:
0.45% probability that they are both queens.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes
The combinations formula is important in this problem:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
Desired outcomes
You want 2 queens. Four cards are queens. I am going to call then A,B,C,D. A and B is the same outcome as B and A. That is, the order is not important, so this is why we use the combinations formula.
The number of desired outcomes is a combinations of 2 cards from a set of 4(queens). So
Total outcomes
Combinations of 2 from a set of 52(number of playing cards). So
What is the probability that they are both queens?
0.45% probability that they are both queens.
100% of Kerion's paper squares are:
(100% / 100%) = 1
Half of the squares of your paper are colored blue:
(1) / (2) = 1/2
Of the blue squares, 1/3 of them will also have stripes:
(1/2) * (1/3) = 1/6
answer
A fraction of (1/6) squares will be blue with strips
