Answer:
To solve the equation 10x + 12y = 1080, we need to find the values of x and y that satisfy the equation. Here's how you can do it:
Step 1: We'll start by isolating one variable on one side of the equation. Let's isolate x by subtracting 12y from both sides of the equation:
10x + 12y - 12y = 1080 - 12y
This simplifies to:
10x = 1080 - 12y
Step 2: Now, we want to isolate x. To do this, we'll divide both sides of the equation by 10:
10x/10 = (1080 - 12y)/10
Simplifying further:
x = (1080 - 12y)/10
x = 108 - (12y/10)
x = 108 - (6y/5)
So, the value of x in terms of y is x = 108 - (6y/5).
To find the value of y, we can follow a similar process:
Step 1: Let's isolate y by subtracting 10x from both sides of the equation:
10x + 12y - 10x = 1080 - 10x
This simplifies to:
12y = 1080 - 10x
Step 2: Now, we want to isolate y. To do this, we'll divide both sides of the equation by 12:
12y/12 = (1080 - 10x)/12
Simplifying further:
y = (1080 - 10x)/12
y = 90 - (5x/6)
So, the value of y in terms of x is y = 90 - (5x/6).
You can substitute any value for x or y in these equations to find the corresponding value for the other variable. For example, if x = 5, you can substitute it into either equation to find the value of y.
Please Vote For Brainliest!
A, Use a spinner that is divided into five equal parts. Choose three colors for successful; the other two colors represent unsuccessful. Spin the spinner 20 times, once for each event.
B. Use a random number table consisting of the digits 0 through 9, with digits 0 through 3 representing successful and the remaining digits, 4 through 9, representing unsuccessful. Choose 20 digits, one for each event.
C. Roll a 10-sided die. Let 1 through 5 represent successful and the values 6 through 10 indicate unsuccessful. Roll the die 20 times, once for each event.
D. Count out 65 yellow beads and 35 pink beads. Select 20 of these beads at random. Let a yellow bead represent successful and a pink bead represent unsuccessful.
Complete question is;
An ordinary deck of playing cards has 52 cards. There are four suits
-spades, hearts, diamonds, and clubs
-with 13 cards in each suit.
Spades and clubs are black; hearts and diamonds are red. One of these cards is selected at random. Let A denote the event that a red card is chosen.
Find the probability that a red card is chosen, and express your answer in probability notation.
Answer:
P(A) = 0.5
Step-by-step explanation:
We are told that the ordinary deck of playing cards has 52 cards.
Now, there are four suits
-spades, hearts, diamonds, and clubs
-with 13 cards in each suit.
Now, in a standard set of playing cards, there are 13 black spades and 13 black clubs as well as 13 red hearts and 13 red diamonds
Thus;
Number of red cards = 13 + 13
Thus;
Number of red cards = 26
Since, A denotes the event that red card is chosen.
This means that probability of choosing a red card is;
P(A) = number of red cards/total number in a deck of cards
P(A) = 26/52
P(A) = 0.5
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5