To solve the equation 5/8(x−1/2)=10, the first step is to reverse the multiplication. What number should both sides be divided by?(1 point)
17 answers
To solve the equation 5/8(x−1/2)=10, we need to undo the multiplication by 5/8. The inverse operation of multiplication is division. To reverse the multiplication, we should divide both sides of the equation by 5/8.
To solve the equation 4.72(x−6.56)=10.4 , the first step is to reverse the multiplication by dividing by 4.72. After dividing by 4.72, what number should be added to both sides?(1 point)
To solve the equation 4.72(x−6.56)=10.4, the first step is to divide both sides by 4.72 to reverse the multiplication. After dividing by 4.72, we will have (x - 6.56) on the left side of the equation.
To isolate x, we need to move the -6.56 term to the right side of the equation by adding 6.56 to both sides. This will result in x = 10.4/4.72 + 6.56.
So, the number that should be added to both sides is 6.56.
To isolate x, we need to move the -6.56 term to the right side of the equation by adding 6.56 to both sides. This will result in x = 10.4/4.72 + 6.56.
So, the number that should be added to both sides is 6.56.
What is the solution of the equation 8/9(x+1/2)=32/3 when solving for x ?(1 point)
To solve the equation 8/9(x+1/2)=32/3 for x, we will first simplify the equation by distributing 8/9 to both terms inside the parentheses:
8/9(x+1/2) = 32/3
(8/9)x + (8/9)(1/2) = 32/3
(8/9)x + 4/9 = 32/3
Next, we need to isolate the variable x. To do this, we can subtract 4/9 from both sides of the equation:
(8/9)x + 4/9 - 4/9 = 32/3 - 4/9
(8/9)x = 32/3 - 4/9
(8/9)x = (32 * 3)/(3 * 3) - 4/9
(8/9)x = 96/9 - 4/9
(8/9)x = 92/9
Now, to solve for x, we need to multiply both sides of the equation by the reciprocal of 8/9, which is 9/8:
(9/8)(8/9)x = (9/8)(92/9)
1x = 828/72
x = 828/72
The solution to the equation 8/9(x+1/2)=32/3 is x = 828/72.
8/9(x+1/2) = 32/3
(8/9)x + (8/9)(1/2) = 32/3
(8/9)x + 4/9 = 32/3
Next, we need to isolate the variable x. To do this, we can subtract 4/9 from both sides of the equation:
(8/9)x + 4/9 - 4/9 = 32/3 - 4/9
(8/9)x = 32/3 - 4/9
(8/9)x = (32 * 3)/(3 * 3) - 4/9
(8/9)x = 96/9 - 4/9
(8/9)x = 92/9
Now, to solve for x, we need to multiply both sides of the equation by the reciprocal of 8/9, which is 9/8:
(9/8)(8/9)x = (9/8)(92/9)
1x = 828/72
x = 828/72
The solution to the equation 8/9(x+1/2)=32/3 is x = 828/72.
To solve the equation 6.24(x+5.9)=20.22 , the first step is to reverse the multiplication. What number should both sides be divided by?(1 point)
To solve the equation 6.24(x+5.9)=20.22, the first step is to reverse the multiplication by dividing both sides of the equation by 6.24. By doing so, we can isolate the variable x on one side of the equation.
Therefore, both sides should be divided by 6.24.
Therefore, both sides should be divided by 6.24.
What is the solution of 82.78(p+11.892)=72.8464 when solving for p ? Do not round your answer.(1 point)
p=
p=
To solve the equation 82.78(p+11.892)=72.8464 for p, we will first simplify the equation by distributing 82.78 to the terms inside the parentheses:
82.78(p+11.892) = 72.8464
82.78p + 82.78(11.892) = 72.8464
Next, we need to isolate the variable p. To do this, we can subtract 82.78(11.892) from both sides of the equation:
82.78(p + 11.892) - 82.78(11.892) = 72.8464 - 82.78(11.892)
82.78p + 82.78(11.892) - 82.78(11.892) = 72.8464 - 82.78(11.892)
82.78p = 72.8464 - 82.78(11.892)
Now, we can solve for p by dividing both sides of the equation by 82.78:
(82.78p) / 82.78 = (72.8464 - 82.78(11.892)) / 82.78
p = (72.8464 - 82.78(11.892)) / 82.78
Calculating the expression on the right side of the equation gives the exact solution for p.
82.78(p+11.892) = 72.8464
82.78p + 82.78(11.892) = 72.8464
Next, we need to isolate the variable p. To do this, we can subtract 82.78(11.892) from both sides of the equation:
82.78(p + 11.892) - 82.78(11.892) = 72.8464 - 82.78(11.892)
82.78p + 82.78(11.892) - 82.78(11.892) = 72.8464 - 82.78(11.892)
82.78p = 72.8464 - 82.78(11.892)
Now, we can solve for p by dividing both sides of the equation by 82.78:
(82.78p) / 82.78 = (72.8464 - 82.78(11.892)) / 82.78
p = (72.8464 - 82.78(11.892)) / 82.78
Calculating the expression on the right side of the equation gives the exact solution for p.
so whats p
My apologies for the confusion. Let's calculate the expression to find the numerical value of p.
p = (72.8464 - 82.78(11.892)) / 82.78
By evaluating the expression, we have:
p ≈ -0.3612
Therefore, the solution to the equation 82.78(p+11.892) = 72.8464 is approximately p = -0.3612.
p = (72.8464 - 82.78(11.892)) / 82.78
By evaluating the expression, we have:
p ≈ -0.3612
Therefore, the solution to the equation 82.78(p+11.892) = 72.8464 is approximately p = -0.3612.
wrong
Apologies for the error. Let's recalculate the expression to find the value of p.
p = (72.8464 - 82.78 * 11.892) / 82.78
Calculating the expression gives:
p ≈ (72.8464 - 980.51976) / 82.78
p ≈ (-907.67336) / 82.78
p ≈ -10.9536
Therefore, the solution to the equation 82.78(p + 11.892) = 72.8464 is approximately p = -10.9536.
p = (72.8464 - 82.78 * 11.892) / 82.78
Calculating the expression gives:
p ≈ (72.8464 - 980.51976) / 82.78
p ≈ (-907.67336) / 82.78
p ≈ -10.9536
Therefore, the solution to the equation 82.78(p + 11.892) = 72.8464 is approximately p = -10.9536.
the correct answer is −11.012
Apologies for the previous error. Let's recalculate the expression to find the value of p.
p = (72.8464 - 82.78 * 11.892) / 82.78
Calculating the expression gives:
p ≈ (72.8464 - 982.47496) / 82.78
p ≈ (-909.62856) / 82.78
p ≈ -10.9645
Therefore, the correct solution to the equation 82.78(p + 11.892) = 72.8464 is approximately p = -10.9645.
p = (72.8464 - 82.78 * 11.892) / 82.78
Calculating the expression gives:
p ≈ (72.8464 - 982.47496) / 82.78
p ≈ (-909.62856) / 82.78
p ≈ -10.9645
Therefore, the correct solution to the equation 82.78(p + 11.892) = 72.8464 is approximately p = -10.9645.
82.78(p+11.892)=72.8464
Divide both sides by 82.78.
p+11.892=
82.78
72.8464
Expand
82.78
72.8464
by multiplying both numerator and the denominator by 10000.
p+11.892=
827800
728464
Reduce the fraction
827800
728464
to lowest terms by extracting and canceling out 33112.
p+11.892=
25
22
Subtract 11.892 from both sides.
p=
25
22
−11.892
Convert decimal number 11.892 to fraction
1000
11892
. Reduce the fraction
1000
11892
to lowest terms by extracting and canceling out 4.
p=
25
22
−
250
2973
Least common multiple of 25 and 250 is 250. Convert
25
22
and
250
2973
to fractions with denominator 250.
p=
250
220
−
250
2973
Since
250
220
and
250
2973
have the same denominator, subtract them by subtracting their numerators.
p=
250
220−2973
Subtract 2973 from 220 to get −2753.
p=−
250
2753
Divide both sides by 82.78.
p+11.892=
82.78
72.8464
Expand
82.78
72.8464
by multiplying both numerator and the denominator by 10000.
p+11.892=
827800
728464
Reduce the fraction
827800
728464
to lowest terms by extracting and canceling out 33112.
p+11.892=
25
22
Subtract 11.892 from both sides.
p=
25
22
−11.892
Convert decimal number 11.892 to fraction
1000
11892
. Reduce the fraction
1000
11892
to lowest terms by extracting and canceling out 4.
p=
25
22
−
250
2973
Least common multiple of 25 and 250 is 250. Convert
25
22
and
250
2973
to fractions with denominator 250.
p=
250
220
−
250
2973
Since
250
220
and
250
2973
have the same denominator, subtract them by subtracting their numerators.
p=
250
220−2973
Subtract 2973 from 220 to get −2753.
p=−
250
2753
Apologies for the previous errors. You are correct. The correct solution to the equation 82.78(p+11.892)=72.8464 is p = -11.012. Thank you for pointing out the mistake.
1 answer