The system of equations is
n + d = 27
n + 5d = 55
Step-by-step explanation:
The given is:
- Kiran has 27 nickels and quarters in his pocket
- They worth a total of $2.75
- We need to write a system of equations to represent the relationships between the number of nickels n, the number of quarters d, and the dollar amount in this situation
∵ The number of nickles is n
∵ The number of quarters is d
∵ There are 27 nickles and quarters
∴ n + d = 27 ⇒ (1)
∵ 1 nickel = 5 cents
∵ 1 quarter = 25 cents
- Multiply n by 5 and d by 25 to find their value
∴ They worth = 5n + 25d
∵ They worth a total of $2.75
- Chang the dollar to cent
∵ 1 dollar = 100 cents
∴ $2.75 = 2.75 × 100 = 275 cents
- Equate their value by 275
∴ 5n + 25d = 275
- Simplify it by divide each term by 5
∴ n + 5d = 55 ⇒ (2)
The system of equations is
n + d = 27
n + 5d = 55
Learn more:
You can learn more about the system of equations in brainly.com/question/2115716
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The graph is missing, so i have attached it.
Answer:
From 0 hours to 2 hours.
Step-by-step explanation:
From the attached graph, we can see that on the y-axis, denotes the level of ibuprofen in the patient’s bloodstream while the x-axis denotes the amount of hours after the ibuprofen was taken.
Now, looking at the graph, we can see that the curve goes up from a time of 0 hours which corresponds to 0 mg of ibuprofen to a time of 2 hours which corresponds to 400 mg of ibuprofen.
After that point, the curve begins to to go down. Since we are concerned with increase, we will make do with the first statement.
Thus, we can say the period at which the level of ibuprofen increased was from 0 hours to 2 hours.
Answer:
Below
Step-by-step explanation:
● x^2 + 11x + 121/4 = 125/4
Substract 125/4 from both sides:
● x^2 + 11x + 121/4-125/4= 125/4 -125/4
● x^2 + 11x - (-4/4) = 0
● x^2 +11x -(-1) = 0
● x^2 + 11 x + 1 = 0
This is a quadratic equation so we will use the determinanant (b^2-4ac)
● a = 1
● b = 11
● c = 1
● b^2-4ac = 11^2-4*1*1 = 117
So this equation has two solutions:
● x = (-b -/+ √(b^2-4ac) ) / 2a
● x = (-11 -/+ √(117) ) / 2
● x = (-11 -/+ 3√(13))/ 2
● x = -0.91 or x = -10.9
Round to the nearest unit
● x = -1 or x = -11
The solutions are { -1,-11}
If the likelihood of boys being born is 56%, then the complement of that is the likelihood of girls being born which is 100% - 56% = 44%.
Since we are given that of the baby girls born, 12% are premature, the probability of a premature baby girl being born is:
(0.44)(0.12) = 0.0528 or 5.28%
The closest answer is the FIRST OPTION (5%).
1. PQR and is a right triangle, so you can calculate the measure of PQ by applying the Pythagorean Theorem. PR is the hypotenuse and QR and PQ are the legs:
2. PQS and is a right triangle too, so you can calculate the measure of PS by applying the Pythagorean Theorem as above. PS is the hypotenuse and PQ and QS are the legs:
Therefore, the answer is: The value of PS is 13.
