Y =
x + 3
y = x - 4
Since both equations are equal to y, you can set the two values equal to each other and solve for x.
x + 3 = x - 4 Multiply both sides by 2
x + 6 = 2x - 8 Add x to both sides
6 = 3x - 8 Add 8 to both sides
14 = 3x DIvide both sides by 3
4
= x
Now, plug the x value into one of the original equations, I'll plug it into y = x - 4.
y = x - 4 Plug in the x value
y = 4
- 4 Subtract
y =
x = 4 and
y =
In a 10 gal of an 11% salt solution,
11% of 10 gal are sal.
11% *10 gal=(11/100)*10 gal =0.11*10 gal = 0.1 gal is salt.
Similarly, 0.07*6 gal= 0.42 gal is salt of the 6 gal in the second solution.
The mixture is 10 gal +6 gal = 16 gal, and contains a total of
0.1 gal +0.42 gal = 0.52 gal of salt.
0.52 = x% of 16
0.52=x%*16
x=(0.52/16)*100=0.0325*100=3.25
Answer: there is 0.52 gal of salt in the mixture, that is 3.25%
Answer:
60
Step-by-step explanation:
Think of it like this: 12 roses cost 10 dollars. You're paying this 10 dollars 5 times. To find out how many roses you will get, you would do 12 x 5. 5 being the number of times you will purchase the 12 roses.
5(20) + 4y = 216
100 + 4y = 216
4y = 216 - 100
4y = 116
y = 116/4
y = 29.....so they sold 29 four-dollar yogurts + 20 five-dollar yogurts....for a total of 49 yogurts sold <==
The statement that describes the transformation of the graph of function f onto the graph of function g is:
The graph shifts 5 units left and 3 units up.
<h2>Transformations</h2>
The given functions are:
f(x) = (x-4) + 3
g(x) = (x+1) + 6
Comparing the functions f(x) = (x-4) + 3 and g(x) = (x+1) + 6
Difference between f(x) and g(x) on the x-axis = 1 - (-4) = 5
Difference between f(x) and g(x) on the y-axis = 6 - 3 = 3
From the comparison made above, we can conclude that:
The graph of f(x) is shifted to the left by 5 units to form g(x)
The graph of f(x) is shifted up by 3 units to form g(x
Learn more on transformation here: brainly.com/question/10222182
