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Transform 7x+-4y=-5 into slope intercept form

7 answers

To transform the equation 7x - 4y = -5 into slope-intercept form (y = mx + b), you need to isolate y on one side of the equation.

Starting with 7x - 4y = -5:
1. Move 7x to the other side by adding 7x to both sides:
-4y = -7x - 5

2. Divide both sides by -4 to isolate y:
y = (7/4)x + 5/4

Therefore, the equation 7x - 4y = -5 can be written in slope-intercept form as y = (7/4)x + 5/4.
What is the unit rate, if 5 bags of chips cost a total of $46.04?
To find the unit rate, we need to divide the total cost by the number of bags.

The total cost of 5 bags of chips is $46.04, so the unit rate can be calculated as follows:

Unit rate = Total cost / Number of bags

Unit rate = $46.04 / 5 bags

Unit rate = $9.208 per bag.

Therefore, the unit rate is $9.208 per bag of chips.
Round the answers to the nearest hundredth
To round the unit rate to the nearest hundredth, we round the number $9.208 to the nearest hundredth decimal place:

The unit rate, rounded to the nearest hundredth, is $9.21 per bag of chips.
Unit rate for how many bags of chips per $
To determine the unit rate for the number of bags of chips per dollar, we need to take the reciprocal of the unit rate we calculated previously.

Since the unit rate we calculated was $9.21 per bag, the reciprocal will be the number of bags per dollar.

Reciprocal of $9.21 per bag:
1 / $9.21 = 0.1085 (rounded to four decimal places)

Therefore, the unit rate for the number of bags of chips per dollar is approximately 0.1085 bags per dollar.