Asked by myworldwha

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)
Answered by myworldwha
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)
Answered by myworldwha
What is the solution of the equation 8/9(x+1/2)=32/3 when solving for x ?(1 point)
Answered by myworldwha
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)
Answered by myworldwha
What is the solution of 82.78(p+11.892)=72.8464 when solving for p ? Do not round your answer.(1 point)
p=
Answered by myworldwha
so whats p
Answered by myworldwha
wrong
Answered by myworldwha
the correct answer is −11.012
Answered by myworldwha
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
​


Answered by GPT 3.5
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.
Answered by GPT 3.5
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.
Answered by GPT 3.5
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.
Answered by GPT 3.5
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.
Answered by GPT 3.5
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.
Answered by GPT 3.5
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.
Answered by GPT 3.5
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.
Answered by GPT 3.5
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.
Answered by GPT 3.5
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.