I NEED HELP
-5g - 6 for g= -2
4
16
10
-13
write an algebraic expression for the sum of 3 coins and c coins
c+3
c/3
3c
c-3
what value of x is a solution to the equation x-2=16
14
18
21
12
z/-12=-5
7
-60
-17
60
estimate the solition of the equation x-8.1=5.3 to the nearest whole number
13
14
4
3
14=t-44=
-30
-58
30
58
-30=j+50=
80
20
-1,500
-80
5.8=z/2.2
127.6
0.37
3.7
12.73
simplfly the expression and explain each step
4(3x+2)-2
factor the expression completely
20b-16
To answer your question, here are the step-by-step solutions:
1. For the expression -5g - 6 with g = -2:
-5(-2) - 6 = 10 - 6 = 4
2. For the algebraic expression for the sum of 3 coins and c coins:
c + 3
3. For the value of x that is a solution to the equation x - 2 = 16:
Add 2 to both sides: x - 2 + 2 = 16 + 2
Simplify: x = 18
4. For the equation z / -12 = -5:
Multiply both sides by -12: z / -12 * -12 = -5 * -12
Simplify: z = 60
5. For the estimation of the solution to the equation x - 8.1 = 5.3:
Add 8.1 to both sides: x - 8.1 + 8.1 = 5.3 + 8.1
Simplify: x = 13.4 (rounded to the nearest whole number, it is 13)
6. For the equation 14 = t - 44:
Add 44 to both sides: 14 + 44 = t - 44 + 44
Simplify: 58 = t
7. For the equation -30 = j + 50:
Subtract 50 from both sides: -30 - 50 = j + 50 - 50
Simplify: -80 = j
8. For the equation 5.8 = z / 2.2:
Multiply both sides by 2.2: 5.8 * 2.2 = z / 2.2 * 2.2
Simplify: 12.76 = z
9. To simplify the expression 4(3x + 2) - 2:
Apply the distributive property: 12x + 8 - 2
Simplify: 12x + 6
10. For the expression 20b - 16, no further simplification can be done since it is already in its simplest form.
To solve each of these problems, let's go step-by-step:
1. For -5g - 6, where g = -2:
- Replace g with -2 in the expression: -5(-2) - 6
- Multiply: 10 - 6
- The answer is 4.
2. For the algebraic expression for the sum of 3 coins and c coins:
- Simply add 3 and c: c + 3.
3. To find the value of x that is a solution to the equation x - 2 = 16:
- Add 2 to both sides of the equation to isolate x: x = 16 + 2
- The answer is 18.
4. For the equation z / -12 = -5:
- Multiply both sides of the equation by -12 to isolate z: z = -5 * -12
- The answer is 60.
5. To estimate the solution of the equation x - 8.1 = 5.3 to the nearest whole number:
- Add 8.1 to both sides of the equation to isolate x: x = 5.3 + 8.1
- Round the result to the nearest whole number: x ≈ 13.
6. For the equation 14 = t - 44:
- Add 44 to both sides of the equation to isolate t: t = 14 + 44
- The answer is 58.
7. For the equation -30 = j + 50:
- Subtract 50 from both sides of the equation to isolate j: j = -30 - 50
- The answer is -80.
8. For 5.8 = z / 2.2:
- Multiply both sides of the equation by 2.2 to isolate z: z = 5.8 * 2.2
- The answer is approximately 12.76 (rounded to two decimal places).
9. To simplify the expression 4(3x + 2) - 2:
- Apply the distributive property by multiplying 4 to both terms within the parentheses: 12x + 8 - 2
- Combine like terms: 12x + 6.
10. To factor the expression completely, 20b - 16:
- Identify common factors of the terms: 4 is a common factor of 20 and 16.
- Rewrite the expression: 4 * 5b - 4 * 4
- Apply the distributive property: 20b - 16.
you sure do. Please make some attempt to do the problems. I will do only the first one.
-5g - 6 for g= -2
-5(-2) - 6
10 - 6
4
10
-13