Answer:
Step-by-step explanation:
Let x represent the number of spelling questions in the test.
Let y represent the number of vocabulary questions in the test.
Mrs morals wrote a test with 15 questions covering spelling and vocabulary. This means that
x + y = 15
Spelling questions (x) are worth 5 points and vocabulary questions (y) are worth 10 points. The maximum number of points possible on the test is 100. This means that
5x + 10y = 100 - - - - - - - - - - - 1
Substituting x = 15 - y into equation 1, it becomes
5(15 - y) + 10y = 100
75 - 5y + 10y = 100
- 5y + 10y = 100 - 75
5y = 25
y = 25/5 = 5
x = 15 - y = 15 - 5 = 10
Answer:
inches
Step-by-step explanation:
well depends on how big your foot is
B. Shows lest Variability.
A) is constant, C) is Constant, D) is constant but with and addition of 20 and remaining
Answer:
The two numbers are 40, and 27.
Explanation:
Since there are only two numbers, with two different aspects, you can just make
a system, and solve.
A sum of two numbers adding up to 67 can be modeled by: x + y = 67.
A difference of those same two numbers being 13 can be modeled by: x – y = 13.
You can add the two equations together to eliminate the y value because the -y and y will cancel out:
x + y = 67.
+ x – y = 13.
And you get: 2x = 80.
Now to find x, just divide by 2 on both sides to cancel out the coefficient of 2 in 2x:
2x = 80
÷2 ÷2
x = 40.
So the first number is 40.
Since we know the first number, we can immediately find the other number by substituting it into the first equation.
x = 40 → x + y = 67
(40) + y = 67
-40. -40
Subtract from both sides to cancel the constant terms.
Then you will get that y or the second number is y = 27.
This is true because 40 + 27 = 67, and 40 - 27 = 13.
16 × (14 - 6) × 3 - 6^2 ÷ 6
parenthesis first
16 × (8) × 3 - 6^2 ÷ 6
exponents next
16 × (8) × 3 - 36 ÷ 6
multiplication and division from left to right
128 *3 -36 ÷ 6
384 -36 ÷ 6
384 -6
378
