To simplify the expression 8(6c - 7/4 - 8c - 9/8), we first distribute the 8 to each term inside the parentheses:
8 * 6c = 48c
8 * (-7/4) = -56/4 = -14
8 * (-8c) = -64c
8 * (-9/8) = -72/8 = -9
Therefore, the simplified expression is:
48c - 14 - 64c - 9.
8(6c-7/4 - 8c-9/8)
32 answers
1/8(n) + 2 = 1/4
To solve the equation 1/8n + 2 = 1/4, we can start by subtracting 2 from both sides:
1/8n + 2 - 2 = 1/4 - 2
This simplifies to:
1/8n = 1/4 - 8/4
Combining the fractions on the right side:
1/8n = -7/4
To isolate n, we can multiply both sides of the equation by 8:
8 * (1/8n) = 8 * (-7/4)
This simplifies to:
n = -56/4
Simplifying further, we get:
n = -14
Therefore, the solution to the equation is n = -14.
1/8n + 2 - 2 = 1/4 - 2
This simplifies to:
1/8n = 1/4 - 8/4
Combining the fractions on the right side:
1/8n = -7/4
To isolate n, we can multiply both sides of the equation by 8:
8 * (1/8n) = 8 * (-7/4)
This simplifies to:
n = -56/4
Simplifying further, we get:
n = -14
Therefore, the solution to the equation is n = -14.
8/5(z)-6=12/5(z)+2
To solve the equation 8/5(z) - 6 = 12/5(z) + 2, we can start by simplifying the equation.
First, we can get rid of the fractions by multiplying both sides of the equation by the least common multiple (LCM) of 5 and 5, which is 5:
5 * (8/5(z) - 6) = 5 * (12/5(z) + 2)
This simplifies to:
8z - 30 = 12z + 10
Next, we can isolate the variable terms on one side and the constant terms on the other side. Let's subtract 12z from both sides and add 30 to both sides:
8z - 12z - 30 + 30 = 12z - 12z + 10 + 30
This simplifies to:
-4z = 40
Now, let's divide both sides of the equation by -4 to solve for z:
(-4z) / (-4) = 40 / (-4)
This simplifies to:
z = -10
Therefore, the solution to the equation is z = -10.
First, we can get rid of the fractions by multiplying both sides of the equation by the least common multiple (LCM) of 5 and 5, which is 5:
5 * (8/5(z) - 6) = 5 * (12/5(z) + 2)
This simplifies to:
8z - 30 = 12z + 10
Next, we can isolate the variable terms on one side and the constant terms on the other side. Let's subtract 12z from both sides and add 30 to both sides:
8z - 12z - 30 + 30 = 12z - 12z + 10 + 30
This simplifies to:
-4z = 40
Now, let's divide both sides of the equation by -4 to solve for z:
(-4z) / (-4) = 40 / (-4)
This simplifies to:
z = -10
Therefore, the solution to the equation is z = -10.
1/8(3z-8)-1/9=1/8(z)+1/18
To solve the equation 1/8(3z - 8) - 1/9 = 1/8z + 1/18, we can start by simplifying the equation.
First, let's distribute 1/8 to the expression inside the parentheses:
1/8 * (3z - 8) - 1/9 = 1/8z + 1/18
This simplifies to:
(3z - 8)/8 - 1/9 = 1/8z + 1/18
Next, we need to find a common denominator for the fractions. The LCM of 8 and 9 is 72:
72 * ((3z - 8)/8) - 72 * (1/9) = 72 * (1/8z) + 72 * (1/18)
This simplifies to:
9(3z - 8) - 8 * 8 = 9z + 4z
Expanding and simplifying:
27z - 72 - 64 = 9z + 4z
27z - 136 = 13z
Now, let's isolate the variable terms on one side and the constant terms on the other side. Let's subtract 13z from both sides:
27z - 13z - 136 = 13z - 13z
This simplifies to:
14z - 136 = 0
Now, let's add 136 to both sides:
14z - 136 + 136 = 0 + 136
This simplifies to:
14z = 136
Finally, let's divide both sides by 14 to solve for z:
(14z) / 14 = 136 / 14
This simplifies to:
z = 68/7
Therefore, the solution to the equation is z = 68/7.
First, let's distribute 1/8 to the expression inside the parentheses:
1/8 * (3z - 8) - 1/9 = 1/8z + 1/18
This simplifies to:
(3z - 8)/8 - 1/9 = 1/8z + 1/18
Next, we need to find a common denominator for the fractions. The LCM of 8 and 9 is 72:
72 * ((3z - 8)/8) - 72 * (1/9) = 72 * (1/8z) + 72 * (1/18)
This simplifies to:
9(3z - 8) - 8 * 8 = 9z + 4z
Expanding and simplifying:
27z - 72 - 64 = 9z + 4z
27z - 136 = 13z
Now, let's isolate the variable terms on one side and the constant terms on the other side. Let's subtract 13z from both sides:
27z - 13z - 136 = 13z - 13z
This simplifies to:
14z - 136 = 0
Now, let's add 136 to both sides:
14z - 136 + 136 = 0 + 136
This simplifies to:
14z = 136
Finally, let's divide both sides by 14 to solve for z:
(14z) / 14 = 136 / 14
This simplifies to:
z = 68/7
Therefore, the solution to the equation is z = 68/7.
1/9(4x+21)=1/3(2x+5)
To solve the equation 1/9(4x + 21) = 1/3(2x + 5), we can start by simplifying the equation.
First, let's distribute 1/9 to the expression inside the parentheses on the left side:
1/9 * (4x + 21) = 1/3(2x + 5)
This simplifies to:
(4x + 21)/9 = (2x + 5)/3
Next, let's find a common denominator for the fractions. The LCM of 9 and 3 is 9:
9 * ((4x + 21)/9) = 9 * ((2x + 5)/3)
This simplifies to:
4x + 21 = 3(2x + 5)
Expanding the right side:
4x + 21 = 6x + 15
Now, let's isolate the variable terms on one side and the constant terms on the other side. Let's subtract 4x from both sides:
4x - 4x + 21 = 6x - 4x + 15
This simplifies to:
21 = 2x + 15
Next, let's subtract 15 from both sides:
21 - 15 = 2x + 15 - 15
This simplifies to:
6 = 2x
Now, let's divide both sides by 2 to solve for x:
6/2 = (2x)/2
This simplifies to:
3 = x
Therefore, the solution to the equation is x = 3.
First, let's distribute 1/9 to the expression inside the parentheses on the left side:
1/9 * (4x + 21) = 1/3(2x + 5)
This simplifies to:
(4x + 21)/9 = (2x + 5)/3
Next, let's find a common denominator for the fractions. The LCM of 9 and 3 is 9:
9 * ((4x + 21)/9) = 9 * ((2x + 5)/3)
This simplifies to:
4x + 21 = 3(2x + 5)
Expanding the right side:
4x + 21 = 6x + 15
Now, let's isolate the variable terms on one side and the constant terms on the other side. Let's subtract 4x from both sides:
4x - 4x + 21 = 6x - 4x + 15
This simplifies to:
21 = 2x + 15
Next, let's subtract 15 from both sides:
21 - 15 = 2x + 15 - 15
This simplifies to:
6 = 2x
Now, let's divide both sides by 2 to solve for x:
6/2 = (2x)/2
This simplifies to:
3 = x
Therefore, the solution to the equation is x = 3.
1/6(10m-1)=5/3(m)-1/6
To solve the equation 1/6(10m - 1) = 5/3(m) - 1/6, we can start by simplifying the equation.
First, let's distribute 1/6 to the expression inside the parentheses on the left side:
1/6 * (10m - 1) = 5/3(m) - 1/6
This simplifies to:
(10m - 1)/6 = (5m) / 3 - 1/6
Next, let's find a common denominator for the fractions. The LCM of 6 and 3 is 6:
6 * ((10m - 1)/6) = 6 * ((5m) / 3 - 1/6)
This simplifies to:
10m - 1 = 10m - 1/2
Expanding the right side:
10m - 1 = 10m - 3/6
Next, let's isolate the variable terms on one side and the constant terms on the other side. Let's subtract 10m from both sides:
10m - 10m - 1 = 10m - 10m - 3/6
This simplifies to:
-1 = -3/6
Now, let's multiply both sides by 6 to clear the fraction:
6 * (-1) = 6 * (-3/6)
This simplifies to:
-6 = -3
However, this equation has no solution since -6 is not equal to -3.
Therefore, the given equation has no solution.
First, let's distribute 1/6 to the expression inside the parentheses on the left side:
1/6 * (10m - 1) = 5/3(m) - 1/6
This simplifies to:
(10m - 1)/6 = (5m) / 3 - 1/6
Next, let's find a common denominator for the fractions. The LCM of 6 and 3 is 6:
6 * ((10m - 1)/6) = 6 * ((5m) / 3 - 1/6)
This simplifies to:
10m - 1 = 10m - 1/2
Expanding the right side:
10m - 1 = 10m - 3/6
Next, let's isolate the variable terms on one side and the constant terms on the other side. Let's subtract 10m from both sides:
10m - 10m - 1 = 10m - 10m - 3/6
This simplifies to:
-1 = -3/6
Now, let's multiply both sides by 6 to clear the fraction:
6 * (-1) = 6 * (-3/6)
This simplifies to:
-6 = -3
However, this equation has no solution since -6 is not equal to -3.
Therefore, the given equation has no solution.
5b+9/3 - 2b+3/3=-2
To simplify the equation 5b + 9/3 - 2b + 3/3 = -2, we can start by combining like terms.
First, let's add 5b and -2b:
(5b - 2b) + 9/3 + 3/3 = -2
This simplifies to:
3b + 9/3 + 3/3 = -2
Next, let's add the fractions with the same denominator:
3b + (9 + 3)/3 = -2
Simplifying the numerator of the fraction:
3b + 12/3 = -2
To simplify the fraction 12/3, we divide the numerator by the denominator:
3b + 4 = -2
Now, to isolate the variable term, we subtract 4 from both sides of the equation:
3b + 4 - 4 = -2 - 4
Simplifying:
3b = -6
Finally, we divide both sides of the equation by 3 to solve for b:
(3b) / 3 = (-6) / 3
This simplifies to:
b = -2
Therefore, the solution to the equation is b = -2.
First, let's add 5b and -2b:
(5b - 2b) + 9/3 + 3/3 = -2
This simplifies to:
3b + 9/3 + 3/3 = -2
Next, let's add the fractions with the same denominator:
3b + (9 + 3)/3 = -2
Simplifying the numerator of the fraction:
3b + 12/3 = -2
To simplify the fraction 12/3, we divide the numerator by the denominator:
3b + 4 = -2
Now, to isolate the variable term, we subtract 4 from both sides of the equation:
3b + 4 - 4 = -2 - 4
Simplifying:
3b = -6
Finally, we divide both sides of the equation by 3 to solve for b:
(3b) / 3 = (-6) / 3
This simplifies to:
b = -2
Therefore, the solution to the equation is b = -2.
3q+5/5-3q+9/2=1
To simplify the equation 3q + 5/5 - 3q + 9/2 = 1, let's start by combining like terms.
The terms 3q and -3q cancel each other out:
(3q - 3q) + 5/5 + 9/2 = 1
Simplifying:
0q + 1 + 9/2 = 1
Now, let's add the fractions with different denominators. We need a common denominator of 2, so we can multiply the first fraction by 2/2 (which is equivalent to multiplying by 1) to get the same denominator:
0q + 1 + 18/2 = 1
Simplifying further:
1 + 18/2 = 1
To simplify 18/2, we divide the numerator by the denominator:
1 + 9 = 1
However, 1 + 9 does not equal 1. Therefore, there is no solution to the equation.
Thus, the equation 3q + 5/5 - 3q + 9/2 = 1 has no solution.
The terms 3q and -3q cancel each other out:
(3q - 3q) + 5/5 + 9/2 = 1
Simplifying:
0q + 1 + 9/2 = 1
Now, let's add the fractions with different denominators. We need a common denominator of 2, so we can multiply the first fraction by 2/2 (which is equivalent to multiplying by 1) to get the same denominator:
0q + 1 + 18/2 = 1
Simplifying further:
1 + 18/2 = 1
To simplify 18/2, we divide the numerator by the denominator:
1 + 9 = 1
However, 1 + 9 does not equal 1. Therefore, there is no solution to the equation.
Thus, the equation 3q + 5/5 - 3q + 9/2 = 1 has no solution.
-6.9y+1.9=-5
To solve the equation -6.9y + 1.9 = -5, we can start by isolating the variable term.
First, let's subtract 1.9 from both sides of the equation:
-6.9y + 1.9 - 1.9 = -5 - 1.9
This simplifies to:
-6.9y = -6.9
Next, to solve for y, we need to divide both sides of the equation by -6.9:
(-6.9y) / -6.9 = (-6.9) / -6.9
Simplifying:
y = 1
Therefore, the solution to the equation is y = 1.
First, let's subtract 1.9 from both sides of the equation:
-6.9y + 1.9 - 1.9 = -5 - 1.9
This simplifies to:
-6.9y = -6.9
Next, to solve for y, we need to divide both sides of the equation by -6.9:
(-6.9y) / -6.9 = (-6.9) / -6.9
Simplifying:
y = 1
Therefore, the solution to the equation is y = 1.
0.4b-0.8=0.4(b-2)
To solve the equation 0.4b - 0.8 = 0.4(b - 2), we can start by simplifying the equation.
First, let's distribute 0.4 to the expression inside the parentheses on the right side:
0.4b - 0.8 = 0.4b - 0.8
This shows that both sides of the equation are already equal. Therefore, the equation is an identity and holds true for all values of b.
In other words, there is an infinite number of solutions to this equation since any value of b will make the equation true.
First, let's distribute 0.4 to the expression inside the parentheses on the right side:
0.4b - 0.8 = 0.4b - 0.8
This shows that both sides of the equation are already equal. Therefore, the equation is an identity and holds true for all values of b.
In other words, there is an infinite number of solutions to this equation since any value of b will make the equation true.
0.60c-60.40=c
To solve the equation 0.60c - 60.40 = c, we can start by isolating the variable term.
First, let's subtract c from both sides of the equation:
0.60c - c - 60.40 = c - c
This simplifies to:
-0.40c - 60.40 = 0
Next, let's add 60.40 to both sides of the equation:
-0.40c - 60.40 + 60.40 = 0 + 60.40
This simplifies to:
-0.40c = 60.40
To solve for c, we need to divide both sides of the equation by -0.40:
(-0.40c) / (-0.40) = 60.40 / (-0.40)
Simplifying:
c = -151
Therefore, the solution to the equation is c = -151.
First, let's subtract c from both sides of the equation:
0.60c - c - 60.40 = c - c
This simplifies to:
-0.40c - 60.40 = 0
Next, let's add 60.40 to both sides of the equation:
-0.40c - 60.40 + 60.40 = 0 + 60.40
This simplifies to:
-0.40c = 60.40
To solve for c, we need to divide both sides of the equation by -0.40:
(-0.40c) / (-0.40) = 60.40 / (-0.40)
Simplifying:
c = -151
Therefore, the solution to the equation is c = -151.
0.17(50)+0.05a=0.2(50+a)
To solve the equation 0.17(50) + 0.05a = 0.2(50 + a), we can start by simplifying both sides.
First, calculate 0.17(50):
0.17(50) = 8.5
Next, calculate 0.2(50 + a):
0.2(50 + a) = 10 + 0.2a
Now, substitute these values back into the equation:
8.5 + 0.05a = 10 + 0.2a
To isolate the variable terms on one side and the constant terms on the other side, we'll subtract 0.05a and 10 from both sides:
8.5 - 10 = 0.2a - 0.05a
This simplifies to:
-1.5 = 0.15a
Finally, to solve for a, we'll divide both sides by 0.15:
(-1.5) / 0.15 = (0.15a) / 0.15
This simplifies to:
a = -10
Therefore, the solution to the equation is a = -10.
First, calculate 0.17(50):
0.17(50) = 8.5
Next, calculate 0.2(50 + a):
0.2(50 + a) = 10 + 0.2a
Now, substitute these values back into the equation:
8.5 + 0.05a = 10 + 0.2a
To isolate the variable terms on one side and the constant terms on the other side, we'll subtract 0.05a and 10 from both sides:
8.5 - 10 = 0.2a - 0.05a
This simplifies to:
-1.5 = 0.15a
Finally, to solve for a, we'll divide both sides by 0.15:
(-1.5) / 0.15 = (0.15a) / 0.15
This simplifies to:
a = -10
Therefore, the solution to the equation is a = -10.
0.08(p-0.5)=0.08-0.04
To solve the equation 0.08(p - 0.5) = 0.08 - 0.04, we can begin by simplifying the equation.
First, let's distribute 0.08 to the expression inside the parentheses:
0.08p - 0.08(0.5) = 0.08 - 0.04
This simplifies to:
0.08p - 0.04 = 0.08 - 0.04
Next, let's simplify the terms on both sides of the equation:
0.08p - 0.04 = 0.04
Now, let's isolate the variable term on one side and the constant terms on the other side. To do this, we'll add 0.04 to both sides of the equation:
0.08p - 0.04 + 0.04 = 0.04 + 0.04
This simplifies to:
0.08p = 0.08
Finally, to solve for p, divide both sides of the equation by 0.08:
(0.08p) / 0.08 = (0.08) / 0.08
Simplifying:
p = 1
Therefore, the solution to the equation is p = 1.
First, let's distribute 0.08 to the expression inside the parentheses:
0.08p - 0.08(0.5) = 0.08 - 0.04
This simplifies to:
0.08p - 0.04 = 0.08 - 0.04
Next, let's simplify the terms on both sides of the equation:
0.08p - 0.04 = 0.04
Now, let's isolate the variable term on one side and the constant terms on the other side. To do this, we'll add 0.04 to both sides of the equation:
0.08p - 0.04 + 0.04 = 0.04 + 0.04
This simplifies to:
0.08p = 0.08
Finally, to solve for p, divide both sides of the equation by 0.08:
(0.08p) / 0.08 = (0.08) / 0.08
Simplifying:
p = 1
Therefore, the solution to the equation is p = 1.
7.4c+7=2.6c+31
To solve the equation 7.4c + 7 = 2.6c + 31, we can start by isolating the variable term.
First, let's subtract 2.6c from both sides of the equation:
7.4c + 7 - 2.6c = 2.6c + 31 - 2.6c
This simplifies to:
4.8c + 7 = 31
Next, let's subtract 7 from both sides of the equation:
4.8c + 7 - 7 = 31 - 7
This simplifies to:
4.8c = 24
Now, to solve for c, we need to divide both sides of the equation by 4.8:
(4.8c) / 4.8 = 24 / 4.8
Simplifying:
c = 5
Therefore, the solution to the equation is c = 5.
First, let's subtract 2.6c from both sides of the equation:
7.4c + 7 - 2.6c = 2.6c + 31 - 2.6c
This simplifies to:
4.8c + 7 = 31
Next, let's subtract 7 from both sides of the equation:
4.8c + 7 - 7 = 31 - 7
This simplifies to:
4.8c = 24
Now, to solve for c, we need to divide both sides of the equation by 4.8:
(4.8c) / 4.8 = 24 / 4.8
Simplifying:
c = 5
Therefore, the solution to the equation is c = 5.
0.06(m-0.5)=0.06m-0.03
To solve the equation 0.06(m - 0.5) = 0.06m - 0.03, we can start by simplifying the equation.
First, let's distribute 0.06 to the expression inside the parentheses:
0.06m - 0.03 = 0.06m - 0.03
This shows that both sides of the equation are already equal. Therefore, the equation is an identity and holds true for all values of m.
In other words, there is an infinite number of solutions to this equation since any value of m will make the equation true.
First, let's distribute 0.06 to the expression inside the parentheses:
0.06m - 0.03 = 0.06m - 0.03
This shows that both sides of the equation are already equal. Therefore, the equation is an identity and holds true for all values of m.
In other words, there is an infinite number of solutions to this equation since any value of m will make the equation true.
At an evening showing of the movie "Divine Secrets of the Ya-Ya Sisterhood", there were 42 more women than men in attendance. If there were 100 people in the theater, how many were women?
Well?
The product of ten and the sum of two and a number is five times the number. Find the number.
Question 3 options:
A)
–4
B)
5
C)
–5
D)
12
Question 3 options:
A)
–4
B)
5
C)
–5
D)
12