Solve for x 5(x+4)=2x+20+2x
2 answers:
We need to distribute and add like terms on both sides.
5x+20=20+4x
Now let's try to isolate x by first subtracting 4x from both sides.
x+20=20
Now, subtract 20 from both sides.
X=0
So, let's try to plug in 0 for x to check.
5(0+4)=2(0)+20+2(0)
5(4)=0+20+0
20=20
So, x=0.
Also, let's see where the lines intersect. The intersection will be the y intercept.
5x+20=20+4x
Now let's try to isolate x by first subtracting 4x from both sides.
x+20=20
Now, subtract 20 from both sides.
X=0
So, let's try to plug in 0 for x to check.
5(0+4)=2(0)+20+2(0)
5(4)=0+20+0
20=20
So, x=0.
Also, let's see where the lines intersect. The intersection will be the y intercept.
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Answer:
A's mixture is more acidic.
Step-by-step explanation:
Given:
Two friends mix water and citric acid.
One (Let A) add 3 cups of citric acid for every 16 cups of water and another (Let B)adds 2 cups of citric acid for every 12 cups of water.
Now, we have to find that whose mixture is more acidic means:-
Solution:
A add 3 cups of citric acid for every 16 cups of water, the ratio =
B adds 2 cups of citric acid for every 12 cups of water =
Now, to find that who mix more citric acid in the mixture, firstly we will equalize the denominator of both fraction by taking LCM so that can be compare easily.
LCM of 16 and 12:- <u>48</u>
16 - 16, 32, <u>48</u>, 64, 80, 96....
12 - 12, 24, 36, <u>48, </u>60, 72.......
For friend A -
For friend B -
<em>We found that in terms of 48 cups of water, friend A mixes 9 cups of acid while friend B mixes 8 cups of acid, means A is adding more acid than B and</em> hence friend A's mixture is more acidic.
Answer:
5507.79 feet
Step-by-step explanation:
To find the height of the mountain, we can draw triangles as in the image attached.
Let's call the height of the mountain 'h', and the distance from the first point (31 degrees) to the mountain 'x'.
Then, we can use the tangent relation of the angles:
tan(34) = h/x
tan(31) = h/(x+1000)
tan(31) is equal to 0.6009, and tan(34) is equal to 0.6745, so:
h/x = 0.6745 -> x = h/0.6745
using this value of x in the second equation:
h/(x+1000) = 0.6009
h/(h/0.6745 + 1000) = 0.6009
h = 0.6009 * (h/0.6745 + 1000)
h = 0.8909*h + 600.9
0.1091h = 600.9
h = 600.9 / 0.1091 = 5507.79 feet
