Solve for z.

z/5+3=2
(1 point)
Responses

5
5

−15
negative 1 fifth

-5
-5

1/5

13 answers

To solve for z, we need to isolate z on one side of the equation.

Given the equation z/5 + 3 = 2, we can start by subtracting 3 from both sides of the equation:

z/5 + 3 - 3 = 2 - 3
z/5 = -1

Next, we can multiply both sides of the equation by 5 to get rid of the fraction:

5(z/5) = -1 * 5
z = -5

Therefore, the solution for z is -5.
Find the solution to

4−2x=10
(1 point)
Responses

3
3

2
2

-7
-7

-3
To solve for x, we can follow these step-by-step instructions:

Step 1: Start by subtracting 4 from both sides of the equation:
4 - 2x = 10 - 4
-2x = 6

Step 2: Divide both sides of the equation by -2 to isolate x:
-2x / -2 = 6 / -2
x = -3

Therefore, the solution to the equation 4 - 2x = 10 is x = -3.
Which graph best represents the solution to

14x−6=−4



(1 point)
Responses

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Since the equation is in the form of mx + b = c, where m is the coefficient of x and b is a constant term, we can rewrite the equation as:

14x - 6 + 4 = 0

Simplifying the equation further:

14x - 2 = 0

To find the value of x, we need to isolate x. We can do this by adding 2 to both sides of the equation:

14x - 2 + 2 = 0 + 2
14x = 2

Dividing both sides of the equation by 14:

14x/14 = 2/14
x = 1/7

Therefore, the solution to the equation 14x - 6 = -4 is x = 1/7.

However, given the options provided, there is no graph representation to choose from.
Question
Mariah wants to buy as many collectible dolls as possible, for $4.50 each. If she has $75.00 to spend, how many dolls can she buy? Which equation represents this situation?(1 point)
Responses

75d=4.5
75 d is equal to 4 point 5

d+4.5=75
d plus 4 point 5 is equal to 75

4.5d=75
4 point 5 d is equal to 75

d4.5=75
d over 4 point 5 is equal to 75
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To solve this problem, we need to determine the number of dolls (d) that Mariah can buy.

The cost of each doll is $4.50 and Mariah has $75.00 to spend.

Therefore, the equation that represents this situation is:

4.5d = 75

This equation states that the cost of d dolls, at $4.50 each, equals $75.00.
If Jaylan takes the number of stamps he has and multiplies it by 5 and then subtracts 10, he gets 275. How many stamps does he have?(1 point)
Responses

57
57

53
53

23
2 thirds

13
Let's represent the number of stamps Jaylan has as x.

According to the problem, if he multiplies it by 5 and then subtracts 10, he gets 275.

So we can write this as an equation:

5x - 10 = 275

Now we can solve for x.

Add 10 to both sides of the equation:

5x - 10 + 10 = 275 + 10
5x = 285

Divide both sides of the equation by 5:

5x/5 = 285/5
x = 57

Therefore, Jaylan has 57 stamps.
If Jaylan takes the number of stamps he has and multiplies it by 5 and then subtracts 10, he gets 275. How many stamps does he have?(1 point)
Responses

57
57

53
53

23
2 thirds

1/3
Let's represent the number of stamps Jaylan has as x.

According to the problem, if he multiplies it by 5 and then subtracts 10, he gets 275.

So we can write this as an equation:

5x - 10 = 275

Now we can solve for x.

Add 10 to both sides of the equation:

5x - 10 + 10 = 275 + 10
5x = 285

Divide both sides of the equation by 5:

5x/5 = 285/5
x = 57

Therefore, Jaylan has 57 stamps.
Which situation is best represented by the following equation?

40w+12.50=492.50
(1 point)
Responses

Nikayah paid $492.50 for ballet classes. She paid a $40 registration fee and $12.50 for each week she was enrolled in the classes. Solve for w to find the number of weeks Nikayah was enrolled in ballet classes.
Nikayah paid $492.50 for ballet classes. She paid a $40 registration fee and $12.50 for each week she was enrolled in the classes. Solve for w to find the number of weeks Nikayah was enrolled in ballet classes.

Nikayah paid $12.50 for ballet classes. She paid a $492.50 registration fee and $40 for each week she was enrolled in the classes. Solve for w to find the number of weeks Nikayah was enrolled in ballet classes.
Nikayah paid $12.50 for ballet classes. She paid a $492.50 registration fee and $40 for each week she was enrolled in the classes. Solve for w to find the number of weeks Nikayah was enrolled in ballet classes.

Nikayah paid $492.50 for ballet classes. She paid a $12.50 registration fee and $40 for each week she was enrolled in the classes. Solve for w to find the number of weeks Nikayah was enrolled in ballet classes.
Nikayah paid $492.50 for ballet classes. She paid a $12.50 registration fee and $40 for each week she was enrolled in the classes. Solve for w to find the number of weeks Nikayah was enrolled in ballet classes.

Nikayah paid $40 for ballet classes. She paid a $12.50 registration fee and $492.50 for each week she was enrolled in the classes. Solve for w to find the number of weeks Nikayah was enrolled in ballet classes
The best representation of the equation 40w + 12.50 = 492.50 is:

Nikayah paid $492.50 for ballet classes. She paid a $40 registration fee and $12.50 for each week she was enrolled in the classes. Solve for w to find the number of weeks Nikayah was enrolled in ballet classes.
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