What is the solution of the equation 2/5x+4=1/5?(1 point)

Question

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

Answer 1

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.

Answer 2

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

Answer 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.

Answer 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

Answer 5

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.

Answer 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

Answer 7

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.

Answer 8

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

Answer 9

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.