The Smiths are sending out a batch of holiday cards. Emily signed 2/5 of the cards. Then Josh signed 1/9 of the remaining cards. Tatiana signed 20% of what Josh had left. If there were 75 cards in all, how many cards are left to be signed?
Answers
32 Cards are left to be signed.
What is probability ?
- The proportion of all conceivable outcomes to the number of outcomes in an exhaustive set of equally likely outcomes that result in a certain event.
- Example -Since there is a 50% chance that the outcome will be heads, we can anticipate 50 heads.
total cards are 75,
then , 2/5 of 75 = 30.
now left cards 75 -30 = 45
That leaves 45 cards
1/9 of 45 = 5 cards,
so 45 -5 = 40 ⇒ that leaves 40.
now,
Calculate 20% of 40,
40 × = 8
that is 8 cards.
cards are left to be signed 40 - 8 = 32
Therefore, 32 Cards are left to be signed.
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Answer:
There are 32 cards yet to be signed.
Step-by-step explanation:
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Answer:
3 cups
Step-by-step explanation:
6/2=3*1=3
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For triangle ACB:
7^2=(AC)^2+(BC)^2 (1)
For triangle ACD:
(AC)^2=3^2+(CD)^2 (2)
For triangle DCB:
(BC)^2=(CD)^2+4^2 (3)
To make things simpler, we let
(AC)=x
(BC)=y
(CD)=z
Hence we have:
49=x^2+y^2 (1)
y^2=z^2+16 (2)
x^2=9+z^2 (3)
To solve for the unknown c, let us first substitute equation (2) in (1)
49=x^2+z^2+16
33=x^2+z^2 (4)
Then, we can substitute equation (3) in (4)
33=9+z^2+z^2
24=2z^2
z^2=12
z=2sqrt(3)
Thus, the length of z or (CD) is 2sqrt(3) in simplest radical form.
Answers
Answer:
0 ≤ x ≤183
Step-by-step explanation:
Originally there were 245 tickets available. After the sale of 62 tickets, 183 are left to sell. There cannot be a negative number of tickets sold; but, there could be from zero up to and including 183 sold in the future.
There is a possibility that is zero tickets to be sold up to all the rest of the tickets (245-62=183.
Choice c shows all of these possibilities. This choice basically says the remaining number of tickets sold could be 0 all the way up to 183.
Answers
In Canadian currency, the value of coins can be compared based on their denominations. To provide a table that shows the value of 16 quarters in terms of toonies, we need to understand the values of these coins:
Quarter (25 cents): Each quarter is worth 25 cents, which is equivalent to 0.25 dollars.
Toonie (2 dollars): Each toonie is worth 2 dollars.
Now, let's calculate the value of 16 quarters in terms of toonies:
So, 16 quarters are equal in value to 4 dollars. To express this value in terms of toonies:
4 dollars / 2 dollars/toonie = 2 toonies
Here's a table to summarize the conversion:
Quantity of Quarters Value in Dollars Value in Toonies
16 4.00 2
So, 16 quarters are equal in value to 2 toonies in Canadian currency.
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Answer:
Step-by-step explanation:
rachael6724
10/26/2020
Mathematics
College
answered • expert verified
In Canadian coins, 16 quarters is equal in value to 2 toonies.
number of quarters number of toonies
row 1
1
A
row 2
16
2.
20
B
row 3
row 4
24
с
What belongs in cell a
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Type your answer below as a number (for example
㏒ 5, 3.1, 4 1/2, or 3/2):
In your answer, please explain and show your work to the best of your ability. I want to know how you got your answer. It will help me a lot! :)
Note: These questions are from 7-3 Practice: Rational Exponents from Glencoe Algebra 1.
Good luck! :)
Answers
(1) To solve for h, we manipulate the variable such that it becomes,
h = √(v / 8)
Substituting the given,
h = √ (96 / 8) = √12 ft
(2) To solve for P in this problem, we raise both sides of the equation to exponent 2,
P = I²R
Substituting,
P = (2.5 amps)² x (16 ohms)
P = 100 watts
Final answer:
To find the distance fallen, substitute the given velocity into the equation and solve for h. To find the power being used, substitute the given current and resistance into the equation and solve for P.
Explanation:
1. To find the distance that an object has fallen if its velocity is 96 feet per second, we need to use the given equation v = 8h^(1/2). We'll substitute 96 for v in the equation and solve for h:
96 = 8h^(1/2)
To isolate h, we'll divide both sides of the equation by 8:
12 = h^(1/2)
To get rid of the exponent, we'll square both sides of the equation:
144 = h
Therefore, the object has fallen a distance of 144 feet.
2. The equation IR^(1/2) = √P represents the relationship between current (I), power (P), and resistance (R). We're given that I = 2.5 amps and R = 16 ohms. We'll substitute these values into the equation and solve for P:
(2.5)(16)^(1/2) = √P
(2.5)(4) = √P
10 = √P
To isolate P, we'll square both sides of the equation:
100 = P
Therefore, the appliance is using 100 watts of power.
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