Okay so to represent juice we are going to use X, and to represent water we are going to use Y.
We also know that the first two starting equations are:
6x + y = 135
4x + 2y = 110
We can re-arrange the first equation so that it equals y (for now), so it is going to end up looking like this:
y = -6x +135
Now you can take that equation and plug into either one of the starting two equations. I chose the second equation. We just substitute what y equals in for y in the equation, so we have:
4x + 2(135 - 6x) = 110
Now solve
4x + 270 -12x = 110
-8x + 270 = 110
Subtract 270 from both sides
-8x = -160
Now divide by -8 on both sides
x = 20
We can now confirm that juice costs $20
Now lets plug that into the equation where we solved for y, to get the actual value of y.
y = 135 - 6(20)
y = 135 - 120
y = 15
The price of water costs $15
From this we can conclude that the cost of juice is $20 and the price of water is $15
Answer:
The correct answer is: She bought 2 dress shirts and 5 t-shirts
Step-by-step explanation:
Let's marked dress shirts with x and t-shirts with y.
Now we will make equations to solve this problem:
x + y = 7 => y = 7 - x
40 x + 8 y = 120
When we replace y = (7 - x) in the previous equation we get:
40 x + 8 (7 -x) = 120 40 x + 56 - 8 x = 120 => 32 x = 120 - 56 =>
32 x = 64 => x = 64/32 = 2 => x = 2
y = 7 - x = 7 - 2 = 5 => y = 5
x = 2 dress shirts
y = 5 t-shirts
God with you!!!
Answer: There are 3.36 ounces of ground almonds in 1 cup.
Step-by-step explanation:
Since we have given that
1 pint = 0.42 pounds
As we know that
1 cup = 0.5 pints
1 pound = 16 ounces
So, We need to find the number of ounces.
As 1 pint = 0.42 pounds = 0.42 × 16 = 6.72 ounces
0.5 pints is given by
Hence, there are 3.36 ounces of ground almonds in 1 cup.
The answer you are looking for is -11/10 or - 1 1/10.
To find this answer you must first make the denominators the same. To do this, multiply 2/5 by 2/2 to get 4/10. Finally, subtract the two fractions, keeping in mind the denominators stay the same. -7/10 - 4/10 = -11/10 or - 1 1/10.
I hope this helps!
Okay, so since both y values share the same number, let's add both equations so the y values cancel out leaving us to solve for x.
10x+(-5x)=5x
7y+(-7y)=0
1+24=25
Now we have 5x=25
divide both sides by 5 and we have x=5
Now that we know x=5, we can plug it into one of the problems to find y.
Let's do 10(5) +7y=1
50+7y=1 subtract 5 and we get 7y=-49
divide -7 from both sides and we get y=-7
so there you have it x=5 and y=-7
