To solve the equation \(-6w = -42\), you can divide both sides by -6:
\[ w = \frac{-42}{-6} \]
This simplifies to:
\[ w = 7 \]
So, the value of \(w\) is 7.
What is the value of w?
−6w=−42
(1 point)
Responses
7
7
6
6
-7
-7
-8
-8
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11 answers
What is the value of x when x/8=200
?(1 point)
Responses
208
208
25
25
1600
1600
192
?(1 point)
Responses
208
208
25
25
1600
1600
192
To solve the equation \( \frac{x}{8} = 200 \), you can multiply both sides by 8:
\[ x = 200 \times 8 \]
Calculating that gives:
\[ x = 1600 \]
So, the value of \(x\) is 1600.
Choose the equation that could be used to solve this problem.
Together, Mark and David traveled 570 miles to the beach. If Mark traveled 255 miles, how far did David travel?
(1 point)
Responses
2d=570
2 d is equal to 570
d+255=570
d plus 255 is equal to 570
d−255=570
d minus 255 is equal to 570
d−570=255
Together, Mark and David traveled 570 miles to the beach. If Mark traveled 255 miles, how far did David travel?
(1 point)
Responses
2d=570
2 d is equal to 570
d+255=570
d plus 255 is equal to 570
d−255=570
d minus 255 is equal to 570
d−570=255
The problem states that together Mark and David traveled 570 miles, and Mark traveled 255 miles. To find out how far David traveled, we can set up the equation based on the total distance:
\[ d + 255 = 570 \]
Where \(d\) represents the distance David traveled.
So, the correct response is:
d + 255 = 570.
What is the value of x when −3x+9=−18?
(1 point)
Responses
-9
-9
9
9
3 2/3
3 and 2 thirds
−3 2/3
(1 point)
Responses
-9
-9
9
9
3 2/3
3 and 2 thirds
−3 2/3
To solve the equation \(-3x + 9 = -18\), follow these steps:
- Subtract 9 from both sides:
\[ -3x + 9 - 9 = -18 - 9 \]
This simplifies to:
\[ -3x = -27 \]
- Now, divide both sides by -3:
\[ x = \frac{-27}{-3} \]
This simplifies to:
\[ x = 9 \]
So, the value of \(x\) is 9.
Solve for x.
5x−5=50
(1 point)
Responses
275
275
9
9
10
10
11
5x−5=50
(1 point)
Responses
275
275
9
9
10
10
11
To solve the equation \(5x - 5 = 50\), follow these steps:
- Add 5 to both sides:
\[ 5x - 5 + 5 = 50 + 5 \]
This simplifies to:
\[ 5x = 55 \]
- Now, divide both sides by 5:
\[ x = \frac{55}{5} \]
This simplifies to:
\[ x = 11 \]
So, the value of \(x\) is 11.
Which graph best represents the solution to 12x−2=3
?(1 point)
Responses
a number line that goes 0 to 20, and a dot is on 2.
a number line that goes 0 to 20, and a dot is on 4
a number line that goes 0 to 20, and a dot is on 8
a number line that goes 0 to 20, and a dot is on 10
?(1 point)
Responses
a number line that goes 0 to 20, and a dot is on 2.
a number line that goes 0 to 20, and a dot is on 4
a number line that goes 0 to 20, and a dot is on 8
a number line that goes 0 to 20, and a dot is on 10
To solve the equation \(12x - 2 = 3\), follow these steps:
- Add 2 to both sides:
\[ 12x - 2 + 2 = 3 + 2 \]
This simplifies to:
\[ 12x = 5 \]
- Now, divide both sides by 12:
\[ x = \frac{5}{12} \]
The value of \(x\) is \(\frac{5}{12}\), which is approximately \(0.42\).
Since none of the responses correspond to this value, it appears there might be a misunderstanding in your question regarding the options. However, if you're looking for the location of \(x\) on a number line, it would be closer to 0 on a number line from \(0\) to \(20\).
If you check the options provided, it appears none correctly represent the solution. Please verify the options again.