121- 88 = 33 miles traversed in 30 minutes.
d = r*t
33 = r* (.5 hr)
Solve for r.
Average speed will be in miles per hour.
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Answer:
10-15
Step-by-step explanation:
Median is the middle of the numbers (or in this case, number sets)
The middle number set is the third.
Thus, the interval would be 10-15.
We know that there are 21 buttons total. x is the number of small buttons and y is the number of large buttons.
Therefore, our first equation should be x+y = 21.
We know the small buttons sell for 3 dollars, meaning 3x represents how much is made from the small buttons. The larger buttons sell for 4 dollars, meaning 4y is how much is made from the large buttons.
We also know that the total of the buttons sold is 68 dollars. Therefore 3x + 4y = 68 is our second equation.
From this information, the answer is the first set.
Answer:
A diagonal of this rectangle has length 10.
Step-by-step explanation:
The vertices (-4, 4) and (-4, -4) have the same x-coordinate (-4) and different y-coordinates (4 and -4). These two points are the endpoints of a vertical side of the rectangle which has length 4 - (-4) = 8.
Similarly, the vertices (2, -4) and (-4, -4) have the same y-coordinate (-4) but different x-coordinates (2 and -4). To find the horizontal dimension of the rectangle, we calculate 2 - (-4), which comes out to 6.
Thus, the width of the rectangle is 6 and the length is 8.
Using the Pythagorean Theorem, we find the length of a diagonal as follows:
d = √(6^2 + 8^2) = √(36 + 64) = √100 = 10.
A diagonal of this rectangle has length 10.
