Answer:
x < -6
Step-by-step explanation:
quick explanation: when you transfer (-9) to the other side it becomes +9.
Therefore, -15+9= -6
<u>Answer</u>
y = -2x + 10
<u>Explanation</u>
The general equation for a straight line is y = mx + c where m and c are gradient and y-intercept respectively.
y=x/2+3 = y (1/2)x + 3
gradient = 1/2
Gradient of the line perpendicular to y=x/2+3 is;
m × 1/2 = -1
m = -2
Now we find the equation of a line passing through (1,8) and have a gradient of -2.
-2 = (y - 8)/(x - 1)
-2(x - 1) = (y - 8)
2 -2x = y - 8
y = -2x + 10
Answer:
First number=22
Second number=28
Step-by-step explanation:
Since you don't know either of the numbers we can call the first number x. The second number is the first number plus 6 or x+6. The sum is 22 more than the larger number so x+6+22 or x+28. Using this we can create the equation x+x+6=x+28. In order to isolate x we would subract x from both sides ending up with x+6=28. Then subract 6 from both sides to get x=22. This means the first number equals 22. Then to solve for the second number you plug 22 in for x to get the equation 22+6= the second number, so the second number is equal to 28. Look below for just the equation.
x+x+6=x+6+22
2x+6=x+28
-x -x
x+6=28
-6. -6
x=22
22+6
=28
22+28= 28+22
50=50
Type A = $5.75 per pound
Type B = $4.55 per pound
1 set → 1 pound of Type A + 4 pounds of type B
1 set → 5.75 + 4(4.55)
1 set → $23.95
Number of sets = $526.90 ÷ 23.59 = 22
1 set → 1 pound of Type A
22 sets → 1 x 22 = 22 pounds of type A
Answer: 22 pounds of Type A
First we need to know what number 2*5*7 gives us. That's the same as 10*7=70. So the question is asking how many multiples of 70 are between 1 and 700. Let's list them:
70
140
210
280
350
420
490
560
630
700
So there are 10 integers from 1 to 700 that are divisible by 2, 5, and 7.
