Answer:
96 points
Step-by-step explanation:
Ratio problems can be solved like this:
Let x equal an unknown value.
Now, we can write an equation.
7x + 10x +12x = 232
We want to find 12x, so we have to find x first. We can simplify our equation to:
29x = 232
Now, divide both sides by 29.
x=8
We then solve for 12x by multiplying 8 and 12, and get 96 points.
The remaining side length (L) of the rectangle is approximately 3.335 units.
To find the remaining side length (L) of a rectangle when given the perimeter and three sides of the rectangle, we can use the formula for the perimeter of a rectangle:
Perimeter = 2 * (Length + Width)
In this case, you have three sides, which means you have the sum of two lengths and one width:
3 * Side = 2 * Length + Width
Given that the perimeter is 30 and the three sides sum up to 70:
30 = 2 * Length + Width
We also know that 3 * Side = 70, so each side is equal to 70/3 = 23.33 (approximately).
Now, we can substitute this value for Width into the first equation:
30 = 2 * Length + 23.33
Subtract 23.33 from both sides:
30 - 23.33 = 2 * Length
6.67 = 2 * Length
Divide by 2 to isolate Length:
Length = 6.67 / 2 = 3.335
So, the remaining side length (L) of the rectangle is approximately 3.335 units.
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Opposite sides equals to 7 and so you add 7 + 7 which equals to 14. Next you subtract 30 by 14 to get the total of the opposite side of L and itself which gets you 16 which is then divided by 2 because you have L and its opposite side which would give you 8. So L equals to 8.
Check:
7 + 7 + 8 + 8
14 + 16
30
Answer:Dave
Step-by-step explanation:
If we are thinking logically, since dave arrived at the pond first even though they left at the same time, he should go farther because he is more athletic based on the information.
Yes, parallel lines do not touch each other ever.
Parallellines have the same slope since the slope is like a measure of steepness and since parallel lines are of the same steepness, thus, are of the same slope.
Since the given parallel line has equation y = 2x + 2, thus its slope is 2 and thus, the slope of the needed line is 2 too.
We are given that Ali says if two lines share a point they cannot be parallel .
Horizontal refers to something that goes parallel to ground level. Of course it depends on from where you see that thing.
When you slice an object horizontally, you cut it parallel to ground.
We know that parallel linesdo not touch each other ever.
so that's make ali statement correct.
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The profit of the store is the amount the store makes on top of the cost of
each game sold.
The store's profit is $35.00
Reason:
Theamount Elsie bought the video game = $85.00
The percentage the store charges = 170% of the cost of the game
We have;
Let C represent the cost of the game, we have;
170% of C = 85.00
Which can be expressed as
Therefore;
The cost of the game, C = $50.00
Profit = Selling price - Cost
Therefore, the store's profit, P = $85.00 - $50.00 = $35.00
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