x = 8, --- 12
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Answer:
70 standard boxes, 40 deluxe boxes
Step-by-step explanation:
standard: x
deluxe: y
x + y = 110
7x + 11y = 930
Multiply the first equation by 7 and subtract.
7x + 7y = 770
-(7x + 11y = 930)
You get -4y = -160
y = 40
Substitute y into the first equation.
x + 40 = 110
x = 70
Answer:
y = -2.5 x + 6.5
Step-by-step explanation:
The equation of a line in slope-intercept form is written as
y = mx + b where m is the slope and b is the y-intercept.
a) We can find the slope of the line passing through (-1,30 and (-4, 5) by subtracting the y coordinates and dividing the difference by the difference if the x coordinates:
m = (5 - 3 ) = 2
-4 - (-1) -3
Now use this slope and substitute the coordinates of either of the given points to find the y-intercept, b . Let's use (-1,3):
y = mx + b
3 = -2 • -1 + b
3
3= 2 + b
3
7 = b
3
The equation of the line will be y = -2 x + 7
3 3
b) Using y = mx + b, we can substitute -2.5 for the slope and use the point to find the y-intercept:
y = -2.5x + b
1.5 = -2.5 • 2 + b
1.5 = -5 + b
6.5 = b
The equation of the line will be:
y = -2.5 x + 6.5
move the decimal point 4 places to the left to get
1.85326 x 10^4
Step-by-step explanation:
Take the number as x
12x-40=7x+25
collect like terms
12x-7x=25+40
5x=65(divide both sides by 5)
x=13
Therefore number is 13