Let the 1st number be x; 2nd number be y; 3rd number be z.
x + y + z = 79
x = number we are looking for.
y = x * 5 ==> 5 times the first
z = x + 16 ==> 16 more than the first
Therefor,
x + (x * 5) + (x+16) = 79
1st step, multiply the 2nd number: x * 5 = 5x
x + 5x + x + 16 = 79
Add all like numbers:
7x + 16 = 79
To get x, transfer 16 to the other side and change its sign from positive to negative.
7x = 79 - 16
7x = 63
To get x, divide both sides by 7
7x/7 = 63/7
x = 9
To check. Substitute x by 9.
x + (x * 5) + (x+16) = 79
9 + (9 * 5) + (9 + 16) = 79
9 + 45 + 25 = 79
79 = 79 equal. value of x is correct.
Answer:
A.
Step-by-step explanation:
A fun way of solving it is by turning your image 90 degrees, and observing the original figure. You can also solve it by checking the points.
(I am sorry if this wasn't very good.)
Step-by-step explanation:
first fish tank: 95-4x
second fish tank: 40+5x
1. Define variable
The variable x represents the number of days.
2. Write the inequality
<em>95-4x=40+5x</em>
<em />
3. You probably don't need the answer but I am just going to solve.
The first fish tank will have less water than the second fish tank after 7 days.
<em>95-4x=40+5x </em>
<em>95-4(7)=40+5(7)</em>
<em>95-28=40+35</em>
<em>67=75</em>
<em>Since the first equation (95-4x) represents the first fish tank, and the second equation (40+5x) represents the second fish tank, the solution shows how the amount of water in the first fish tank is less than the amount of water un the second fish tank after 7 days.</em>
Your answer is the yellow one your welcome
<span>Simplifying
2n + -7 + 3(4n + -3) = 0
Reorder the terms:
2n + -7 + 3(-3 + 4n) = 0
2n + -7 + (-3 * 3 + 4n * 3) = 0
2n + -7 + (-9 + 12n) = 0
Reorder the terms:
-7 + -9 + 2n + 12n = 0
Combine like terms: -7 + -9 = -16
-16 + 2n + 12n = 0
Combine like terms: 2n + 12n = 14n
-16 + 14n = 0
Solving
-16 + 14n = 0
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Add '16' to each side of the equation.
-16 + 16 + 14n = 0 + 16
Combine like terms: -16 + 16 = 0
0 + 14n = 0 + 16
14n = 0 + 16
Combine like terms: 0 + 16 = 16
14n = 16
Divide each side by '14'.
n = 1.142857143
Simplifying
n = 1.142857143</span>