Which of the following equations has a different value of x than the others?(1 point)
x+ 0.875=1.5
x+ 9/8=7/4
x-7/8=-3/2
x-0.025=0.6
To determine which equation has a different value of x, we need to solve each equation for x and compare the values.
1) x + 0.875 = 1.5
Subtracting 0.875 from both sides, we get: x = 1.5 - 0.875 = 0.625
2) x + 9/8 = 7/4
Subtracting 9/8 from both sides, we get: x = 7/4 - 9/8 = 3.5/2 - 9/8 = 7/4 - 9/8 = 7/4 - 1.125 = 1.875
3) x - 7/8 = -3/2
Adding 7/8 to both sides, we get: x = -3/2 + 7/8 = -12/8 + 7/8 = -5/8
4) x - 0.025 = 0.6
Adding 0.025 to both sides, we get: x = 0.6 + 0.025 = 0.625
The equation x - 7/8 = -3/2 has a different value of x than the others, which is -5/8.
To determine which equation has a different value of x than the others, we need to solve each equation for x and compare the values.
Let's solve each equation step by step:
1) x + 0.875 = 1.5
Subtract 0.875 from both sides:
x = 1.5 - 0.875
x = 0.625
2) x + (9/8) = (7/4)
Subtract (9/8) from both sides:
x = (7/4) - (9/8)
To subtract fractions, we need a common denominator, which is 8 in this case:
x = (14/8) - (9/8)
x = 5/8
3) x - (7/8) = (-3/2)
Add (7/8) to both sides:
x = (-3/2) + (7/8)
To add fractions, we need a common denominator, which is 8 in this case:
x = (-12/8) + (7/8)
x = (-5/8)
4) x - 0.025 = 0.6
Add 0.025 to both sides:
x = 0.6 + 0.025
x = 0.625
After solving each equation, we can see that only equation 3) has a different value for x, which is -5/8. Therefore, the equation x - 7/8 = -3/2 has a different value of x than the others.
A slice of pizza costs $3.19 and a drink costs $x . The cost of a slice of pizza and a drink together is $5.61 . Complete and solve the equation that represents the cost of a drink.(1 point)
Let's represent the cost of the drink as "x" (since the problem states it is $x).
The cost of a slice of pizza is $3.19.
The cost of a slice of pizza and a drink together is $5.61.
Therefore, the equation representing the cost of a drink can be written as:
3.19 + x = 5.61
To solve for x, we need to isolate the variable x by subtracting 3.19 from both sides:
x = 5.61 - 3.19
Simplifying, we get:
x = 2.42
So, the cost of the drink is $2.42.
x+ 3.19= what
The equation x + 3.19 = ? does not specify a given value or expression to solve for. Without additional information, we cannot solve for a specific value.
A slice of pizza costs $3.19 and a drink costs $x . The cost of a slice of pizza and a drink together is $5.61 . Complete and solve the equation that represents the cost of a drink.(1 point)
x + 3.19 =
x =
To represent the cost of a drink, let's assign it as "x" (since the problem states it costs $x).
The cost of a slice of pizza is $3.19.
The cost of a slice of pizza and a drink together is $5.61.
Therefore, the equation representing the cost of a drink can be written as:
x + 3.19 = 5.61
To solve for x, we need to isolate the variable x by subtracting 3.19 from both sides:
x = 5.61 - 3.19
Simplifying, we get:
x = 2.42
So, the cost of the drink is $2.42.
If x−5=2 , then what is the value of x
To find the value of x, we need to solve the equation x - 5 = 2.
To isolate x, we can add 5 to both sides of the equation:
x - 5 + 5 = 2 + 5
This simplifies to:
x = 7
Therefore, the value of x is 7.
if x/−5=2 , then what is the value of x
To find the value of x, we need to solve the equation x/(-5) = 2.
To isolate x, we can multiply both sides of the equation by -5:
-5 * (x/(-5)) = -5 * 2
This simplifies to:
x = -10
Therefore, the value of x is -10.
is the answer 7 or -10
Apologies for the confusion. The correct answer is x = -10.
Which of the following pairs of equations has exactly the same solution?(1 point)
-3.2x=0.64 and x/4=-0.05
-3/4x=5/2 and 5/2x=-3/4
3/8x=1 and 1/3x=1/8
x/3.2=1.8 and 1.8x=3.2
To determine which pair of equations has exactly the same solution, let's solve each pair of equations:
1) -3.2x = 0.64 and x/4 = -0.05
For the first equation, divide both sides by -3.2:
x = 0.64 / -3.2
x = -0.2
For the second equation, multiply both sides by 4:
x = -0.05 * 4
x = -0.2
Both equations have the same solution x = -0.2.
2) -3/4x = 5/2 and 5/2x = -3/4
For the first equation, multiply both sides by -4/3:
x = (5/2) * (-4/3)
x = -10/6
x = -5/3
For the second equation, divide both sides by 5/2:
x = (-3/4) / (5/2)
To divide by a fraction, we can multiply by its reciprocal:
x = (-3/4) * (2/5)
x = -6/20
x = -3/10
The solutions for the two equations are different: x = -5/3 and x = -3/10.
3) 3/8x = 1 and 1/3x = 1/8
For the first equation, multiply both sides by 8/3:
x = 1 * (8/3)
x = 8/3
For the second equation, multiply both sides by 3:
x = (1/8) * (3)
x = 3/8
The solutions for the two equations are different: x = 8/3 and x = 3/8.
4) x/3.2 = 1.8 and 1.8x = 3.2
For the first equation, multiply both sides by 3.2:
x = 1.8 * 3.2
x = 5.76
For the second equation, divide both sides by 1.8:
x = 3.2 / 1.8
x = 1.77777777778 (approximated to 12 decimal places)
The solutions for the two equations are different: x = 5.76 and x ≈ 1.77777777778.
From the analysis, we can see that the pair of equations -3.2x = 0.64 and x/4 = -0.05 has exactly the same solution, which is x = -0.2.
Which of the following can be represented by the equation 3x = 24 ?(1 point) Responses Rita bought stickers and divided them among herself and two other friends. Each one received 24 stickers. How many stickers did Rita buy? Rita bought stickers and divided them among herself and two other friends. Each one received 24 stickers. How many stickers did Rita buy? The cost of a pair of shoes is three times the cost of a shirt. If the cost of the shirt is $24, how much does the pair of shoes cost? The cost of a pair of shoes is three times the cost of a shirt. If the cost of the shirt is $24, how much does the pair of shoes cost? Andrew picks three words from a dictionary every week and lists them in his notebook. So far, he has listed 24 words. How many weeks has Andrew been doing this? Andrew picks three words from a dictionary every week and lists them in his notebook. So far, he has listed 24 words. How many weeks has Andrew been doing this? A survey was conducted to determine the favorite subject of seventh grade students. One-third of all surveyed, or 24 students, said math is their favorite subject. How many students were surveyed?
The equation 3x = 24 can be represented by the statement: "One-third of all surveyed, or 24 students, said math is their favorite subject. How many students were surveyed?"
Which of the following can be represented by the equation 3x = 24 ?(1 point)
Responses Rita bought stickers and divided them among herself and two other friends. Each one received 24 stickers. How many stickers did Rita buy?
The cost of a pair of shoes is three times the cost of a shirt. If the cost of the shirt is $24, how much does the pair of shoes cost?
Andrew picks three words from a dictionary every week and lists them in his notebook. So far, he has listed 24 words. How many weeks has Andrew been doing this?
A survey was conducted to determine the favorite subject of seventh grade students. One-third of all surveyed, or 24 students, said math is their favorite subject. How many students were surveyed?
The equation 3x = 24 can be represented by the statement: "The cost of a pair of shoes is three times the cost of a shirt. If the cost of the shirt is $24, how much does the pair of shoes cost?"
The temperature dropped by 12° in 5 hours. The temperature dropped the same amount every hour. Complete the equation that represents the amount of change, x , of temperature every hour and solve this equation
To represent the amount of change, x, of temperature every hour, we can use the equation:
x * 5 = 12
This equation states that the amount of change in temperature, x, multiplied by the number of hours, 5, should be equal to the total temperature drop, which is 12 degrees.
To solve for x, we divide both sides of the equation by 5:
x = 12 / 5
Simplifying, we get:
x = 2.4
Therefore, the amount of change in temperature every hour is 2.4 degrees.
Which of the following equations has a solution of −7 ?(1 point) Responses
−3x−8=−29
4x-23=5
-x+3=-4
5x+11=-24
To determine which equation has a solution of -7, we can substitute -7 for x in each equation and check for equality.
1) -3x - 8 = -29
Replacing x with -7:
-3(-7) - 8 = -29
21 - 8 = -29
13 = -29
The equation -3x - 8 = -29 does not have a solution of -7.
2) 4x - 23 = 5
Replacing x with -7:
4(-7) - 23 = 5
-28 - 23 = 5
-51 = 5
The equation 4x - 23 = 5 does not have a solution of -7.
3) -x + 3 = -4
Replacing x with -7:
-(-7) + 3 = -4
7 + 3 = -4
10 = -4
The equation -x + 3 = -4 does not have a solution of -7.
4) 5x + 11 = -24
Replacing x with -7:
5(-7) + 11 = -24
-35 + 11 = -24
-24 = -24
The equation 5x + 11 = -24 has a solution of x = -7.
Therefore, the equation 5x + 11 = -24 has a solution of -7.
Which of the following equations has a solution different from the rest? (1 point) Responses
−0.35x−0.52=1.93 3/4x+5=-1/4 -1/7x-3/4=1/4 1/2x-3=1/2
To determine which equation has a different value of x, we need to solve each equation to find the value of x.
1) Equation: x + 0.875 = 1.5
To solve, isolate x by subtracting 0.875 from both sides:
x = 1.5 - 0.875
Simplifying, x = 0.625
2) Equation: x + (9/8) = (7/4)
To solve, isolate x by subtracting (9/8) from both sides:
x = (7/4) - (9/8)
To simplify, find a common denominator for (7/4) and (9/8), which is 8:
x = (14/8) - (9/8)
Simplifying, x = 5/8
3) Equation: x - (7/8) = -(3/2)
To solve, isolate x by adding (7/8) to both sides:
x = -(3/2) + (7/8)
To simplify, find a common denominator for -(3/2) and (7/8), which is 8:
x = -(12/8) + (7/8)
Simplifying, x = -(5/8)
4) Equation: x - 0.025 = 0.6
To solve, isolate x by adding 0.025 to both sides:
x = 0.6 + 0.025
Simplifying, x = 0.625
By comparing the solutions for x in each equation, we see that the equation x + 0.875 = 1.5 yields a different value for x compared to the other equations. Therefore, the answer is: x + 0.875 = 1.5.