Select ALL equivalent expressions to:
(7𝑥 ― 2) ― (0.04𝑥 ― 3 + 0.2𝑥)
(2 points)
Responses
(7x −
2) −
(0.24x −
3)
(7x negative 2) negative (0.24x negative 3)
7.16x −
5
7.16x negative5
6.76x +
1
6.76x plus 1
5.76x
5.76x
7.76x
7.76x
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(7x ― 2) ― (0.24x ― 3)
what about
7.16x −
5
7.16x negative5
6.76x +
1
6.76x plus 1
5.76x
5.76x
7.76x
Yes, those are also equivalent expressions:
7.16x ―5
6.76x +1
5.76x
7.76x
Jill is thinking of a number. Four more than three times the number is thirteen. What is the number?(1 point)
Jill's number is 1.8 2.3 3 or 4
To solve this problem, we can set up an equation to represent the given information.
Let's assume the number Jill is thinking of is x.
According to the given information, "Four more than three times the number is thirteen," we can write the equation as:
3x + 4 = 13
To solve for x, we can subtract 4 from both sides:
3x = 9
Finally, we divide both sides by 3 to isolate x:
x = 3
Therefore, the number Jill is thinking of is 3.
What is the value of 𝑦 in the equation below?
6(𝑦 ― 1.5) = 30
(1 point)
Responses
181.5
181.5
6.5
6.5
4.75
4.75
3.5
3.5
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To solve the equation 6(y ― 1.5) = 30, we can start by distributing the 6 to both terms inside the parentheses:
6y ― 9 = 30
Next, we can isolate y by adding 9 to both sides of the equation:
6y = 30 + 9
6y = 39
Finally, we divide both sides by 6 to solve for y:
y = 39/6
y ≈ 6.5
Therefore, the value of y in the equation is approximately 6.5.
To rent a car you need to pay a flat fee plus $0.20 for each mile that you drive. Which equation could be used to solve for the price of the initial fee if the total cost of a rental was $60 when the car was driven 40 miles?(2 points)
Responses
60 + 0.2(40) = x
60 + 0.2(40) = x
0.2x + 40 = 60
0.2x + 40 = 60
0.2(60) + x = 40
0.2(60) + x = 40
x + 0.2(40) = 60
To solve for the price of the initial fee, we can use the equation:
x + 0.2(40) = 60
This equation represents the total cost of the rental, which includes the initial fee (x) and the additional cost for the 40 miles driven (0.2(40)). The right side of the equation is equal to $60, the total cost of the rental.
Therefore, the correct equation to solve for the price of the initial fee is:
x + 0.2(40) = 60