Taylor and her children bought 4 bags of popcorn and 6 candies.
How to create linear equation using two variables?
If an equation is written in the form ax + by + c=0, where a, b, and c are real integers and the coefficients of x and y, i.e., a and b, respectively, are not equal to zero, then it is said to be a linear equation in two variables. Such an equation has a pair of numbers as its solution, one for x and one for y, which further equalizes the two sides of the equation. A specific point on the graph represents the solution of a linear equation in two variables, ax + by = c, where the total of these two values will equal c when the x-coordinate is multiplied by a and the y-coordinate by b. Basically, there are infinitely many solutions to a linear equation with two variables.
Let the number of bags of popcorn be = x
Let the number of candies be = y
Given, she bought $ 81 worth of bags of popcorn and candies.
Also, each bag of popcorn costs $9 and each candy costs $4.50.
Thus, the equation for the same is ⇒ 9x + 4.50y = 81 -- (i)
Again, she bought 6 more candies than bags of popcorn.
Thus, the equation for the same is ⇒ y = x + 6 --(ii)
Using (i) and (ii), we have,
9x + 4.50(x + 6) = 81 ⇒ 9x + 4.50x + 27 = 81 ⇒ 13.50x = 54 ⇒ x = 4
Using x = 4 and (ii), we get,
y = x + 6 = 4 + 6 = 10
Thus, (4, 10) is the point where the two equations meet.
Therefore, they bought 4 bags of popcorn and 6 candies.
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Answer:
a = $12,600
Step-by-step explanation:
Formula for Compound interest :
a = Amount
p = Initial Principal
r = Interest rate per annum
n = number of years
a = 10,000 * (1.26)
a = $12,600
Answer:
y=3x+1
Step-by-step explanation:
add 3x to both sides of the equation to get it in standard form, then the slope is 3x meaning that you go up 3 units and to the right 1 unit. since our y-intercept is at 1 we start this from there as shown in the images above^
-19x+9 is the answer
First distribute -5 and -7 once you that you’ll get -5x+30 and -14x-21 so now you have -5x+30-14x-21 you then are gonna combine like terms so -5x-14x is -19x and 30-21 is 9 and so you’ve simplified all you can and end up with -19x+9
221.56, because in order to get the area of a circle, you must use this formula: area = (pi divided by 4) x diameter squared.
In this case, area = (3.14 / 4) x (16.8 x 16.8)
