Answer:
-3=x
Step-by-step explanation:
First you must add the X's on each side which gives you: 1x-2= -x - 4 - 4
Next you must add the first number 4 to the - 2 on the other side.
Then you do the exact same thing with the other number 4.
After that you get 1x+6=-x, then you subtract the 1 x with the -x to get 6= -2x.
Finally divide both sides by 2 and your final answer is -3 = x
Ommon multiples of 4<span> & </span>7<span> I wonder what are the numbers that are </span>common multiples of 4 and 7<span>. I used the </span>4<span>first - </span>4<span>,8,12,16, etc. - and the </span>7<span> is </span>7<span>,21,28, etc hope this is what you need .
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The unit rate is 75 cents or 0.75
Answer:
Step-by-step explanation:
The probability that you make one shot is 70%, or 0.7.
The probability that you make 10 shots is the probability that you make 10 shots in a row. This means that you have to make the first shot AND the second shot AND the third shot and so on. The probability of two independent events both happening is P(A) * P(B), and we can apply that here. Each shot has a 0.7 chance of success, so we multiply that 10 times to get (0.7)¹⁰=0.0282475249
The probability that you make 9 shots can be represented by the following combinations, with M representing a miss and S representing a make.
MSSSSSSSSS
SMSSSSSSSS
SSMSSSSSSS
and so on. There are 10 possible combinations as there are 10 possible places where you can miss but still make 9. The probability of one of these combinations happening is
(0.3) for the miss multiplied by the probability of all the rest making it, or (0.7)⁹ = 0.3 * 0.7⁹ = 0.0121060821
Then, we multiply by 10 because there are 10 possible combinations, resulting in 0.121060821. Add this to the probability of making all 10 to get
0.0282475249 + 0.121060821 = 0.1493083459
Answer:
A dime is worth 2 nickels.
let no of dimes be x
let no of nickles be y
so as per the data mentioned in the question , x=2*y-10
total amount = $2.75
so total amount should comprise of nickels and dimes
x*dimes + y*nickels = $2.75
x*( 2 nickels)+ y *nickels = $2.75
=> nickles( 2x+y) = $ 2.75
but 20 nickels = 1 dollar
nickles(2x+y) = 2.75*20 nickels
cancelling nickles on both sides
2x+y = 55
already we know that x= 2y-10
so 2(2y-10) +y= 55
4y-20+y=55
5y -20 =55
add 20 on both sides
5y-20+20=55+20
5y=75
divide with 5 on both sides
5y/5 =75/5
y= 15
so x= 2y-10
x= 2*15-10
x= 30-10
x= 20
so # of dimes =20
# of nickels =15
