The x-intercept is (16, 0) and y- intercept is (0, 6).
<h3>What is intercept?</h3>
The x-intercept is the point where a line crosses the x-axis, and the y-intercept is the point where a line crosses the y-axis.
Given: 24x+64y=384
For y- intercept, put x=0
Then,
24*0+64y=384
64y= 384
y= 6
Now, for x- intercept put y=0
Then,
24x+64*0=384
24x= 384
x= 15
Hence, the x-intercept is (16, 0) and y- intercept is (0, 6).
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A recipe for cinnamon rolls uses 2 tablespoons of sugar per teaspoon of cinnamon for the filling. Write the ratio that represents sugar to cinnamon for three batches of filling
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Each batch of filler
2 tablespoons of sugar per teaspoon of cinnamon for the filling
2:1
For three batches of filling
2*3 tablespoons of sugar per 1*3 teaspoons of cinnamon for the filling
6 tablespoons of sugar per 3 teaspoons of cinnamon for the filling
6:3
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Answer:
I think the number of terms are 3
Y *x =20
y +x =9
rewrite 1st eq. as y = 20/x
subsituute that into 2nd eq.
20/x +x =9
multiply each term by X
20 +x^2 = 9x
subtract 9x from each side:
x^2 - 9x +20 = 0
now factor:
(x-5) (x-4) = 0
solve for x
5-5 = 0
4-4 = 0
so X can be 4 or 5
replace x into equations and solve for Y
so when X = 4, Y = 5
When X = 5, Y = 4
x= 5,4
y = 4,5