Answer:
-21
Step-by-step explanation:
-21 x 2 = -42 -42+16= -26
2x + 4 = 12
We're simply just trying to isolate x.
So, we must get x onto it's own side of the equal sign :)
Our first step is to subtract 4 from both sides.
2x + 4 - 4 = 12 - 4
Simplify.
2x = 8
Then, we divide both sides by 2.
2x ÷ 2 = 8 ÷ 2
Simplify.
x = 4
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To check your work, simply plug in the value of x into x in the original equation.
In this problem, x = 4, so plug in 4 for x.
2x + 4 = 12
2(4) + 4 = 12
Simplify.
8 + 4 = 12
12 = 12
Therefore, x = 4
~Hope I helped!~
Answer:
14.13 m^2
Step-by-step explanation:
Formula for area:
3.14*r^2
To find the radius(r), you do diameter(d)/2:
9/2=4.5
3.14*4.5^2=14.13 m2
Answer:
18 pounds of cashews are needed.
Step-by-step explanation:
Given;
A manager bought 12 pounds of peanuts for $30.
Price of peanut per pound P = $30/12 = $2.5
Price of cashew per pound C = $5
Price of mixed nut per pound M = $4
Let x represent the proportion of peanut in the mixed nut.
The proportion of cashew will then be y = (1-x), so;
xP + (1-x)C = M
Substituting the values;
x(2.5) + (1-x)5 = 4
2.5x + 5 -5x = 4
2.5x - 5x = 4 -5
-2.5x = -1
x = 1/2.5 = 0.4
Proportion of cashew is;
y = 1-x = 1-0.4 = 0.6
For 12 pounds of peanut the corresponding pounds of cashew needed is;
A = 12/x × y
A = 12/0.4 × 0.6 = 18 pounds
18 pounds of cashews are needed.
1/6 of 3/4 mile = 1/6 * 3/4 = 1/8 = 0.125 mile
The correct result would be 1/8 or 0.125 mile.
