Answer:
(32/15, -2/5)
Step-by-step explanation:
(1) ³/₂x - 2y = 4
(2) x + ⅓y = 2
(3) 3x - 4y = 8 Multiplied (1) by 2
(4) 3x + y = 6 Multiplied (2) by 3
5y = -2 Subtracted (3) from (4)
(5) y = -⅖ Divided each side by 5
x + ⅓(-⅖) = 2 Substituted (5) into (2)
x - ²/₁₅ = 2
x = 2 + ²/₁₅ Added ²/₁₅ to each side
x = 32/15
The system of equations has only one solution: (32/15, -2/5).
Answer:
350 square feet
Step-by-step explanation:
We are given that
Width of strip=6 in
Dimension of rectangle=
We know that
Area of rectangle ,A=xy
Differentiate

We have 


1 ft=12 in
Because 6 in added in both side of breadth
dy=
Because 6 in added on both sides of length of rectangle
Substitute the values

Hence, the number of square feet of paint in the strip=350 square feet
Answer:
i believe 0.67 of a chance
Step-by-step explanation:
since there are two jobs and a chance that he won't get either that's three options. so the denominator is three (as a fraction). there are two jobs so the probability of James getting one of the two is 2/3. 2/3 as a decimal is 0.66666 and keeps going on and on forever. Rounded to the nearest hundredth, 0.666666 is 0.67.
Answer:
Sarah is correct
Step-by-step explanation:
Required
Which of the students is correct
Let a number be x,
Given what the teacher asked the students to do, the solution is:



Only Sarah got this correctly; others are incorrect.
The proof is as follows.
For Sarah



So, the numbers will be: 1416, -1416 and 1416
<em>Other students are incorrect</em>