To solve the equation, first, we need to isolate the variable x. We can do this by performing inverse operations on both sides of the equation.
Starting with the given equation:
StartFraction 3 over 2 EndFraction x - 4 = 16
First, we'll multiply both sides of the equation by 2/3 to eliminate the fraction.
2/3 * (StartFraction 3 over 2 EndFraction x - 4) = 2/3 * 16
This simplifies to:
x - 4 = 32/3
Next, we'll add 4 to both sides of the equation to eliminate the -4 on the left side.
x - 4 + 4 = 32/3 + 4
Simplifying further:
x = 32/3 + 12/3
Combining the fractions:
x = 44/3
Therefore, the solution to the equation StartFraction 3 over 2 EndFraction x - 4 = 16 is x = 44/3.
Start Fraction 3 over 2 End Fraction x – 4 = 16
7 answers
what fraction is equivalent to 44/3
To find an equivalent fraction to 44/3, we can multiply both the numerator and denominator of 44/3 by the same number.
Since 3 is already a prime number, we can't simplify it any further, so we'll focus on 44.
To simplify 44, we can find its greatest common divisor (GCD) with 3. The GCD of 44 and 3 is 1 because 3 is a prime number and it does not divide evenly into 44.
To find an equivalent fraction, we can choose a multiple of 3 as the denominator. Let's choose 3*3 as the denominator since it will give us a whole number numerator.
Multiplying both the numerator and denominator of 44/3 by 3, we get:
44/3 * 3/3 = (44*3)/(3*3) = 132/9
Therefore, an equivalent fraction to 44/3 is 132/9.
Since 3 is already a prime number, we can't simplify it any further, so we'll focus on 44.
To simplify 44, we can find its greatest common divisor (GCD) with 3. The GCD of 44 and 3 is 1 because 3 is a prime number and it does not divide evenly into 44.
To find an equivalent fraction, we can choose a multiple of 3 as the denominator. Let's choose 3*3 as the denominator since it will give us a whole number numerator.
Multiplying both the numerator and denominator of 44/3 by 3, we get:
44/3 * 3/3 = (44*3)/(3*3) = 132/9
Therefore, an equivalent fraction to 44/3 is 132/9.
Use the given equation to find the solution to the following problem.
The equation 9.95 + 0.30s = c gives the cost c in dollars that a website charges for downloading songs. The variable s stands for the number of songs downloaded. Find the cost of downloading 35 songs.
(1 point)
Responses
c = $9.95
c = $9.95
c = $20.45
c = $20.45
c = $35.00
c = $35.00
c = $114.45
The equation 9.95 + 0.30s = c gives the cost c in dollars that a website charges for downloading songs. The variable s stands for the number of songs downloaded. Find the cost of downloading 35 songs.
(1 point)
Responses
c = $9.95
c = $9.95
c = $20.45
c = $20.45
c = $35.00
c = $35.00
c = $114.45
To find the cost of downloading 35 songs, we can substitute s = 35 into the equation 9.95 + 0.30s = c and solve for c.
Substituting s = 35, the equation becomes:
9.95 + 0.30(35) = c
First, we'll simplify the expression:
9.95 + 0.30 * 35 = c
9.95 + 10.50 = c
20.45 = c
Therefore, the cost (c) of downloading 35 songs is $20.45.
Substituting s = 35, the equation becomes:
9.95 + 0.30(35) = c
First, we'll simplify the expression:
9.95 + 0.30 * 35 = c
9.95 + 10.50 = c
20.45 = c
Therefore, the cost (c) of downloading 35 songs is $20.45.
Write an equation and solve to find the solution to the following problem.
You have $27 to spend at the mall and a coupon for $6 off at your favorite store. A t-shirt costs $11. How many t-shirts can you buy using your coupon and money?
(1 point)
Responses
1 shirt
1 shirt
2 shirts
2 shirts
3 shirts
3 shirts
4 shirts
You have $27 to spend at the mall and a coupon for $6 off at your favorite store. A t-shirt costs $11. How many t-shirts can you buy using your coupon and money?
(1 point)
Responses
1 shirt
1 shirt
2 shirts
2 shirts
3 shirts
3 shirts
4 shirts
Let's assume the number of t-shirts you can buy is represented by the variable "x".
With a coupon for $6 off, the cost of each t-shirt becomes $11 - $6 = $5.
Multiplying the cost of a t-shirt ($5) by the number of t-shirts (x), we can set up the equation:
$5 * x = $27
To solve for x, we'll divide both sides of the equation by $5:
x = $27 / $5
Simplifying the division:
x = 5.4
Since we can't buy a fraction of a t-shirt, we'll round down to the nearest whole number:
x = 5
Therefore, you can buy 5 t-shirts using your coupon and money.
With a coupon for $6 off, the cost of each t-shirt becomes $11 - $6 = $5.
Multiplying the cost of a t-shirt ($5) by the number of t-shirts (x), we can set up the equation:
$5 * x = $27
To solve for x, we'll divide both sides of the equation by $5:
x = $27 / $5
Simplifying the division:
x = 5.4
Since we can't buy a fraction of a t-shirt, we'll round down to the nearest whole number:
x = 5
Therefore, you can buy 5 t-shirts using your coupon and money.
2 answers