Answer:
here it is
Step-by-step explanation:
Ok so we can see for every 2 cups of medium coffee, the balance goes down 5.30$. So that means that for every coffee, her balance goes down 2.65$. Solving for the x-intercept means how many medium coffees can I get until my balance is 0. First, we have to find the y-int so it's easy. The slope is -2.65 because for every medium coffee, her balance goes down 2.65$. So we have y=-2.65x+b. Plugging in any point, I choose (4,14.40), we get 14.4 = -2.65 × 4 +b. Solving for b we get 25 for the y intercept, meaning the equation is y = -2.65x + 25 . To find the x intercept, we set y=0. So we have 0 = -2.65x+25. Solving for x we get approx. 9.4. We can't have decimals so we round down to 9. So the x int is ≈ 9.4 meaning we can only buy 9 coffee and have a little extra. But, if the problem said how many more coffees can she get, then here is how we do it. Since she already got 4 coffees, and the max is 9, we do 9-4 and we get 5, so she can buy 5 coffeed more.
Answer:
x= 4 y= 7 z= -6
Step-by-step explanation:
solve for one and you get them all
First, I got rid of the z by multiplying common factors (multiplied z by 2) and added equations 2 and 3 together after multiplying by 2
4x - 3y - 2z = 7
-10x+10y+2z= 18
-6x+7y= 25
Then multiplied z by -3 (to get rid of the z) with the original equation 3
3x - 2y + 3z = -20
15x-15y-3z= -27
18x-17y= -47
Next find common thing between the 2 equations we got and multiply it by that and combine (we can multiply first equation by 3 to get rid of the x and solve for y)
-18x+21y= 75
18x-17y= -47
y=7
Work backwards, substitute 7 into the above equation, you get x= 4 and then same for z to get z= -6
Answer: The cat is 2/3 times as heavy as the dog.
Step-by-step explanation:
The weight of Priya's cat =
Now, 
The weight of her dog =
Let cat is n times heavy as dog.
Then 
Hence, The cat is 2/3 times as heavy as the dog.
Giovanni purchased 20 adult tickets and 5 child's tickets.
Step-by-step explanation:
Let,
x = Adult tickets
y = Child's tickets
According to given statement;
x+y=25 Eqn 1
One adult ticket costs $14 and one child ticket costs $8, therefore,
14x+8y=320 Eqn 2
Putting value of x in Eqn 1;
Giovanni purchased 20 adult tickets and 5 child's tickets.
Keywords: Linear equations, Addition
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