Answer:
2x + 3y = 0
Step-by-step explanation:
It is clear from the graph that the straight line passes through the point (0,0) i.e. origin.
So, in the slope-intercept form of the equation, there will be no y-intercept.
Hence, the equation of the straight line will be simply y = mx ...... (1)
Now, it is already shown in the graph that the straight line (1) passes through the point (3,-2) point.
So, from equation (1), -2 = 3m, ⇒
Therefore, the equation (1) becomes
⇒ 2x + 3y = 0 (Answer)
Answer:
5 inches
Step-by-step explanation:
11 inches cost 33 cents
x inches cost 15 cents
Note: we let what we are looking for (inches) be "x"
Now, we can set up two ratios (fractions) and equate them to find the inches we can buy for 15 cents.
The set up:
![\frac{11}{33}=\frac{x}{15}](https://tex.z-dn.net/?f=%5Cfrac%7B11%7D%7B33%7D%3D%5Cfrac%7Bx%7D%7B15%7D)
Now we cross multiply and solve for x:
![\frac{11}{33}=\frac{x}{15}\\33x=11*15\\33x=165\\x=\frac{165}{33}\\x=5](https://tex.z-dn.net/?f=%5Cfrac%7B11%7D%7B33%7D%3D%5Cfrac%7Bx%7D%7B15%7D%5C%5C33x%3D11%2A15%5C%5C33x%3D165%5C%5Cx%3D%5Cfrac%7B165%7D%7B33%7D%5C%5Cx%3D5)
Thus, we can buy 5 inches for 15 cents.
The answer would be 24 8-ounce cups.
First you would find how many quarts over all she has which is 6, then multiply that by 32(which is the amount of ounces are in a quart), then you would get 192 which you divide by 8 to find the total amount of cups you would have which is 24.