Answer:
An apple costs $2.25. A mango costs $1.25.
Step-by-step explanation:
Let a = price of 1 apple.
Let m = price of 1 mango.
Cameron:
4 apples + 7 mangoes ----> total $17.75
4a + 7m = 17.75
Gavin:
2 apples + 5 mangoes ----> total $10.75
2a + 5m = 10.75
We have a system of 2 equations in 2 unknowns.
4a + 7m = 17.75
2a + 5m = 10.75
We can use the elimination method to eliminate the variable <em>a</em>. Rewrite the first equation. Multiply both sides of the second equation by -2 and write below it. Then add the equations.
4a + 7m = 17.75
(+) -4a - 10m = -21.5
---------------------------------
-3m = -3.75
Divide both sides by -3.
m = 1.25
<em>A mango costs $1.25.</em>
Now we use the first equation and substitute 1.25 for <em>m</em> and solve for <em>a</em>.
4a + 7m = 17.75
4a + 7(1.25) = 17.75
4a + 8.75 = 17.75
4a = 9
a = 2.25
<em>An apple costs $2.25.</em>
Answer: An apple costs $2.25. A mango costs $1.25.
The value of that is -51. -51 is the answer
Answer:
A, or 16 gallons
Step-by-step explanation:
First, you have to analyze what the function means. It tells you that x is the number of minutes in the shower, so now we have y=3(minutes in shower). Logically, 3 has to be gallons per minute so that the equation makes sense, since you're multiplying 3 by minutes in the shower. It also uses the same phrasing in the beginning of the problem when it says "A standard shower head in Jen's house dispenses 5 gallons of water per minute." Now, it's 3 gallons of water per minute (x). That means y has to be overall gallons. So, now the equations is overall gallons=3 gallons per minute. If she uses the shower for 8 minutes we can plug in for x. So now the equation is overall gallons=3 gallons times 8 minutes, or overall gallons=24 gallons. With the new shower head, 24 gallons is used. Now to find for the old shower head. 5 gallons per minute times 8 minutes = 40 gallons. Now we subtract to find out how many gallons Jen saves each day. 40-24=16. She saves 16 gallons.
Answer:
36
Step-by-step explanation:
9x4=36
So (f-g)(x) is f(x)-g(x) so you have
(3x+10)-(2x-4)
Distribute the negative in to the 2x-4 to get
3x+10-2x+4
Then combing like terms you have
3x-2x+10+4
And then that gives you
x+14
So (f-g)(x)=x+14
Hope this helps!! Mark as brainliest!!!!