Answer:
Ralph's current age is 18.
Step-by-step explanation:
Let r and s represent the current ages of Ralph and Sara respectively. Our task here is to determine r, Ralph's age now.
If Ralph is 3 times as old as Sara now, then r = 3s.
Six years from now, Ralph's age will be r + 6 and Sara's will be s + 6. Ralph will be only twice as old as Sara will be then. This can be represented algebraically as
r + 6 = 2(s + 6).
We now have the following system of linear equations to solve:
r + 6 = 2s + 12, or r - 2s = 6, and r = 3s (found earlier, see above).
r - 2s = 6
r = 3s
Substituting 3s for r in r - 2s = 6, we get 3s = 2s + 6, or s = 6. Sara is 6 years old now, meaning that Ralph is 3(6 years), or 18 years old.
Ralph's current age is 18.
Hello from MrBillDoesMath!
Answer:
Suppose the ordered pair is (x.y). Substitute these values in the linear equality to see if it is true,
Example. Consider the point (7, -4). Is it a solution of the linear inequality
3x < 4y - 9? Let's check to find out.
Check:
Is 3 (7) < 4 (-4) - 9 true ?
Is 21 < -16 -9 = -25 ??
NO!
So (7,-4) is NOT a solution of the linear inequality.
Thank you,
MrB
First, find the arc measure BD. The arc measure is twice the central angle measure. BD should be 48*2 = 96.
The chord BC looks like it’s the diameter of the circle, so it must have a measure of 180.
From here you can find DC. The total measure of a circle is 360.
360- 96-180 = 84, so DC is 84.
DBC is 360- DC
so 360- 84 = 276.
DCB is just 360- BD
so 360- 96 = 264.
Hope this helps!
The information given about the probability shows that the cardinality of D is 18.
<h3>How to calculate the probability?</h3>
From the complete information, the number of red-colored cards is 26.
Also, the number of red-colored number cards will be 18.
The cardinality of a set is a measure of a set's size, meaning the number of elements in the set.
Here, the cardinality of set D is 18.
Here is the complete question:
Take a deck of playing cards. Form following sets out of those:
A = Set of Face Cards
B = Set of Red Coloured Face cards
C = Set of Black Coloured Face Cards
D = Set of Red Coloured Number Cards
Find the Cardinality of set D
Learn more about probability on:
brainly.com/question/24756209
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