To find the solution of the equation 2/5x + 4 = 1/5, we need to isolate x.
First, we subtract 4 from both sides to get:
2/5x = 1/5 - 4
Simplifying on the right side gives us:
2/5x = -19/5
Next, we multiply both sides by the reciprocal of 2/5, which is 5/2:
x = (-19/5) * (5/2)
Multiplying the numerators and denominators gives us:
x = -19/2
Therefore, the solution to the equation is x = -19/2.
What is the solution of the equation 2/5x+4=1/5?(1 point)
Responses
21/2
Start Fraction 21 over 2 End Fraction
−19/2
negative Start Fraction 19 over 2 End Fraction
−38/25
negative Start Fraction 38 over 25 End Fraction
−2/19
9 answers
What is the solution of the equation 5/3−2x=1/6 ?(1 point)
Responses
−11/3
negative Start Fraction 11 over 3 End Fraction
−11/12
negative Start Fraction 11 over 12 End Fraction
3/4
Start Fraction 3 over 4 End Fraction
3
Responses
−11/3
negative Start Fraction 11 over 3 End Fraction
−11/12
negative Start Fraction 11 over 12 End Fraction
3/4
Start Fraction 3 over 4 End Fraction
3
To find the solution of the equation 5/3 - 2x = 1/6, we need to isolate x.
First, we subtract 5/3 from both sides to get:
-2x = 1/6 - 5/3
Simplifying on the right side gives us:
-2x = 1/6 - 10/6
Combining the fractions gives us:
-2x = -9/6
Next, we divide both sides by -2 to solve for x:
x = (-9/6) / -2
Dividing the numerator and denominator by 3 gives us:
x = (-3/2) / -2
Dividing fractions is the same as multiplying by the reciprocal, so we get:
x = (-3/2) * (-1/2)
Multiplying the numerators and denominators gives us:
x = 3/4
Therefore, the solution to the equation is x = 3/4.
First, we subtract 5/3 from both sides to get:
-2x = 1/6 - 5/3
Simplifying on the right side gives us:
-2x = 1/6 - 10/6
Combining the fractions gives us:
-2x = -9/6
Next, we divide both sides by -2 to solve for x:
x = (-9/6) / -2
Dividing the numerator and denominator by 3 gives us:
x = (-3/2) / -2
Dividing fractions is the same as multiplying by the reciprocal, so we get:
x = (-3/2) * (-1/2)
Multiplying the numerators and denominators gives us:
x = 3/4
Therefore, the solution to the equation is x = 3/4.
What is the solution of the equation 0.2x−2.15=−8.27 ?(1 point)
Responses
−1.224
negative 1.224
−30.6
negative 30.6
−52.1
negative 52.1
−3.06
Responses
−1.224
negative 1.224
−30.6
negative 30.6
−52.1
negative 52.1
−3.06
To find the solution of the equation 0.2x - 2.15 = -8.27, we need to isolate x.
First, we add 2.15 to both sides to get:
0.2x = -8.27 + 2.15
Simplifying on the right side gives us:
0.2x = -6.12
Next, we divide both sides by 0.2 to solve for x:
x = -6.12 / 0.2
Dividing gives us:
x = -30.6
Therefore, the solution to the equation is x = -30.6.
First, we add 2.15 to both sides to get:
0.2x = -8.27 + 2.15
Simplifying on the right side gives us:
0.2x = -6.12
Next, we divide both sides by 0.2 to solve for x:
x = -6.12 / 0.2
Dividing gives us:
x = -30.6
Therefore, the solution to the equation is x = -30.6.
Maria opens a savings account with $50 and then saves $19 each week. How many weeks will it take for her account to reach $259? Represent this problem with an equation in the form px+q=r .(1 point)
Responses
19x+50=259
19 x plus 50 equals 259
259+50=19x
259 plus 50 equals 19 x
50x+19=259
50 x plus 19 equals 259
19x−50=259
Responses
19x+50=259
19 x plus 50 equals 259
259+50=19x
259 plus 50 equals 19 x
50x+19=259
50 x plus 19 equals 259
19x−50=259
To represent the given problem with an equation, we can use the equation form px + q = r.
In this case, Maria saves $19 each week, so the amount she saves can be represented by 19x, where x is the number of weeks.
Maria opens the account with $50, so the initial amount in the account can be represented by +50.
The goal is for her account to reach $259, so this can be represented by =259.
Putting it all together, the equation that represents the problem is: 19x + 50 = 259.
In this case, Maria saves $19 each week, so the amount she saves can be represented by 19x, where x is the number of weeks.
Maria opens the account with $50, so the initial amount in the account can be represented by +50.
The goal is for her account to reach $259, so this can be represented by =259.
Putting it all together, the equation that represents the problem is: 19x + 50 = 259.
Annette’s soccer team will play 15 games this season. That is 7 games fewer than 2 times the number of games they played last season. How many games did they play last season? Represent this problem with an equation in the form px+q=r .(1 point)
Responses
15−7=2x
15 minus 7 equals 2 x
7−2x=15
7 minus 2 x equals 15
2x−7=15
2 x minus 7 equals 15
2x+7=15
Responses
15−7=2x
15 minus 7 equals 2 x
7−2x=15
7 minus 2 x equals 15
2x−7=15
2 x minus 7 equals 15
2x+7=15
Let's represent the number of games played last season as x.
According to the problem, Annette's soccer team played 7 games fewer than 2 times the number of games they played last season. The expression "2 times the number of games they played last season" can be represented by 2x. Subtracting 7 from this expression gives us 2x - 7.
The team played 15 games this season, so we can set up the equation: 2x - 7 = 15.
Therefore, the equation that represents the problem is 2x - 7 = 15.
According to the problem, Annette's soccer team played 7 games fewer than 2 times the number of games they played last season. The expression "2 times the number of games they played last season" can be represented by 2x. Subtracting 7 from this expression gives us 2x - 7.
The team played 15 games this season, so we can set up the equation: 2x - 7 = 15.
Therefore, the equation that represents the problem is 2x - 7 = 15.