Given :
Stephanie took a science exam that had two parts. Part 1: She got 16 questions correct, which was 4/5 of the number of part 1 questions. Part 2: She got 16 questions correct, which was 2/3 of the number of part 2 questions.
To Find :
The total number of questions on Stephanie's exam.
Solution :
Let, number of questions in Part 1 is x :
Let, number of questions in Part 2 is y :
Therefore, total number of questions on Stephanie's exam are 20 + 40 = 60.
Hence, this is the required solution.
Answer:
2(x^2+5)=60 to 2x^2+10=60
distributive property (a(b+c)=ab+ac)
2x^2+10=60 to 2x^2=50
property of equality or something like thht (a=a and b=b, so a-b=a-b) and also
addative inverse (a+-a=0) (added -10 to both sides)
2x^2=50 to x^2=25
propery of euality and multiplicative inverse (a times 1/a=1) and one produce property (1 times a=a)
x^2=25 to x=+/-5
property of equality and something else
Step-by-step explanation:
Select the correct answer.
What is the value of arcsin ?
For this case we have that by definition, it is called arcsine (arcsin) from a number to the angle that has that number as its sine.
We must find the . Then, we look for the angle whose sine is .
We have to, by definition:
So, we have to:
Answer:
Option B
Answer:
Choice B
Step-by-step explanation:
An option is to find the the square root of 2 in decimals is
Now we can use the arc sine, which is the inverse of a sin.
To do this we must use a scientific calculator. By pressing the arc sin button and entering in 0.7071067812, we can find the arc sin, which is 45°.
The greatest number that can be added to 4315 without having to regroup is 5644. When added together, the sum doesn't result in a carryover to the next place value.
In Mathematics, particularly arithmetic, regrouping is the process of making groups of tens when adding or subtracting two numbers. When the question asks for the greatest number that can be added to 4315 without having to regroup, we are essentially looking for a number that when added to 4315 doesn't result in a carryover to the next place value.
Considering the number 4315, you would notice that the units digit is 5, the tens digit is 1, the hundreds digit is 3, and the thousands digit is 4. This means for each position we can add a number up to 9 without needing to regroup. Hence, the greatest number you can add to 4315 without needing to regroup would be 5644 (which gives 9 in the units place, 1+5=6 in the tens place, 3+4=7 in the hundreds place, and 4+4=8 in the thousands place).
#SPJ2
Answer:
Gym B and Gym A charge the same hourly rate for the children.
Step-by-step explanation: