Answer:
200 mg sodium is in 1 oz of chips and 50 mg sodium is in 1 cup of soda.
Step-by-step explanation:
Let x mg sodium is in 1 oz of chips and and y mg is in 1 cup of soda.
∵ Bryan ate 3 oz of chips and drank 2 cups of soda for a total of 700 mg of sodium.
i.e. 3x + 2y = 700 --------(1),
Jadyn ate 1 oz of chips and drank 3 cups of soda for a total of 350 mg of sodium.
i.e. x + 3y = 350 ---------(2),
Equation (1) - 3 × equation (2),
We get,
2y - 9y = 700 - 1050
-7y = -350
From equation (1),
3x + 2(50) = 700
3x + 100 = 700
3x = 700 - 100
3x = 600
Hence, 200 mg sodium is in 1 oz of chips and 50 mg sodium is in 1 cup of soda.
16-4=12
12x5=60
I'm putting together assumptions as this isn't really clear to me, I apologize.
Answer:
The other side was decreased to approximately .89 times its original size, meaning it was reduced by approximately 11%
Step-by-step explanation:
We can start with the basic equation for the area of a rectangle:
l × w = a
And now express the changes described above as an equation, using "p" as the amount that the width is changed:
(l × 1.1) × (w × p) = a × .98
Now let's rearrange both of those equations to solve for a / l. Starting with the first and easiest:
w = a/l
now the second one:
1.1l × wp = 0.98a
wp = 0.98a / 1.1l
1.1 wp / 0.98 = a/l
Now with both of those equalling a/l, we can equate them:
1.1 wp / 0.98 = w
We can then divide both sides by w, eliminating it
1.1wp / 0.98w = w/w
1.1p / 0.98 = 1
And solve for p
1.1p = 0.98
p = 0.98 / 1.1
p ≈ 0.89
So the width is scaled by approximately 89%
We can double check that too. Let's multiply that by the scaled length and see if we get the two percent decrease:
.89 × 1.1 = 0.979
That should be 0.98, and we're close enough. That difference of 1/1000 is due to rounding the 0.98 / 1.1 to .89. The actual result of that fraction is 0.89090909... if we multiply that by 1.1, we get exactly .98.
Hello.
The answer is
-12y
Combine Like Terms:<span>=<span><span><span>6y</span>+<span>−<span>6y</span></span></span>+<span>−<span>12y</span></span></span></span><span>=<span>(<span><span><span>6y</span>+<span>−<span>6y</span></span></span>+<span>−<span>12y</span></span></span>)</span></span><span>=<span>−<span>12<span>y
Have a nice day</span></span></span></span>
First equation is: x - y = 12
x = 12 + y
Now, substitute this in 2nd equation,
2x - 3y = 27
2(12+y) - 3y = 27
24 + 2y - 3y = 27
-y = 27 - 24
y = -3
In short, Your Answer would be -3
Hope this helps!
