Subtract the year you were born in from this year.
2017 - 1965 = 52
And since May already passed (05/22), you're birthday already passed.
So you are 52 years old if you were born in 05/22/1965.
Answer: The spelling questions are 10, while the vocab questions are 16.
Step-by-step explanation: Let the spelling questions be represented by letter p, while the vocab questions should be represented by v. If there is a total of 16 questions as stated, then p + v = 26
Also if there are a total of 100 points obtainable in the test, then spelling questions times 2 points (2p) plus vocab questions times 5 points (5v) equals 100 points. This can be expressed as 2p + 5v = 100
We now have a pair of simultaneous equations as follows
p + v = 26 ———(1)
2p + 5v = 100 ———(2)
Make p the subject of the equation in equation (1). p = 26 - v. Next substitute for the value of p into equation (2)
2(26 - v) + 5v = 100
52 - 2v + 5v = 100
We collect like terms and we have
5v - 2v = 100 - 52
3v = 48
Divide both sides of the equation by 3
v = 16
Now having calculated v, substitute for the value of v into equation (1)
p + 16 = 26
Subtract 16 from both sides of the equation
p = 10
Therefore, the spelling questions equals 10 in all. While the vocab questions equals 16 in all.
Answer:
<u>There are 24 orange balls and 130 green balls in the box.</u>
Step-by-step explanation:
Let orange balls be x and green balls be y.
y = 10+5x
x+y = 154
y = 154-x
Now,
y=10+5x
or, 154-x = 10+5x
or, 154-10 = 5x+x
or, 144 = 6x
so, x = 24
Now,
y = 154-x
or, y = 154-24
so, y = 130
The distance between the two points is 5 units
Explanation:
Given that the two points are located at and
We need to determine the distance between these two points using Pythagorean theorem.
The distance between the two points can be determined using the formula,
Substituting the coordinates and in the above formula, we get,
Simplifying, we get,
Squaring the terms, we get,
Adding the terms, we have,
Simplifying, we get,
Thus, the distance between the two points is 5 units.