Solve for x. - 6 ≥ 10 - 8 x
1 answer:
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Answer:
Number of bagels = 10
Number of donuts = 25
Step-by-step explanation:
Let Number of bagels = b
Number of donuts = d
As given,
Each donut cost $0.55 and each bagel cost $1.20
⇒ Cost of d donuts = $0.55d
Cost of b bagels = $1.20b
Also given,
Jamian bought a total of 35 bagels and donuts
⇒ b + d = 35 ........(1)
Also,
He paid a total of $25.75.
⇒ 1.20b + 0.55d = 25.75 .........(2)
Now,
Multiply equation (1) by 1.20 , we get
1.20( b + d = 35 )
⇒1.20b + 1.20d = 42 ..........(3)
Now,
Subtract equation (2) from equation (3), we get
1.20b + 1.20d - ( 1.20b + 0.55d ) = 42 - 25.75
⇒1.20b + 1.20d - 1.20b - 0.55d = 16.25
⇒0.65d = 16.25
⇒d = = 25
⇒d = 25
Put the value of d in equation (1) , we get
b + d = 35
⇒b + 25 = 35
⇒b = 35 - 25 = 10
⇒b = 10
∴ we get
Number of bagels = b = 10
Number of donuts = d = 25
Answer:
Percentage of (226Ra) after 900 years is 68%
Step-by-step explanation:
Let P(t) be the amount of (226Ra) present at any time t
Half life of (226 Ra) = 1599 years
If P₀ is initial amount of (226 Ra) then after 1599 years
P(1599)=P₀/2
Decay i amount of radioactive substance is related to time t as
To find value of k
Percentage of radioactive element is:
Amount after 900 years