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Molodets [167]
3 years ago
14

A hiker walked 12.8 miles from 9:00 a.m. to noon. He walked an additional 17.2 miles from 1:00 p.m. to 6:00 p.m. What is his ave

rage rate for the entire walk, in miles per hour?
Mathematics
1 answer:
marishachu [46]3 years ago
6 0
The average speed is the distance divided by the time.

Total distance:
12.8 miles + 17.2 miles = 30 miles

Total time:
noon - 9:00 a.m. = 3 hours
6:00 p.m. - 1:00 p.m. = 5 hours
Total time = 3 hours + 5 hours = 8 hours

average speed = 30 miles / 8 hours = 3.75 miles per hour
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The vertex of a function is (-3, 0) and is a minimum. What is the axis of symmetry and how is it determined?
nalin [4]
The axis of symmetry would be -3 because it is always the (x) of the vertex
5 0
2 years ago
Which of the following is the correct solution to the linear inequality shown below?
Georgia [21]
Correct answer is C.

Line y=\frac{1}{3}x-2 intersects y-axis at -2 and passes through the point (3,-1).

Line must be dashed, because the inequality sign is ">".

Point (0,0) must lie in the solution set because it satisfies inequality y>\frac{1}{3}x-2.

0\ \textgreater \  \frac{1}{3}\times 0-2
\\
\\0\ \textgreater \ -2
5 0
3 years ago
It doesn’t have the plus sign
3241004551 [841]
+

there u go if that helps u can copy and paste it
5 0
2 years ago
Read 2 more answers
3x + 9 > -18
aleksklad [387]

Answer:

The written form would be "Nine more than three times a number is greater than -18.

Step-by-step explanation:

To graph it, you must first solve for x.

3x + 9 > -18

3x > -27

x > -9

Now we can graph this by putting an open dot at -9 and then drawing an arrow to the right.

4 0
3 years ago
The GCD(a, b) = 9, the LCM(a, b)=378. Find the least possible value of a+b.
denis-greek [22]
\mathrm{gcd}(a,b)=9\implies9\mid a\text{ and }9\mid b\implies9\mid a+b

which means there is some integer k for which a+b=9k.


Because 9\mid a and 9\mid b, there are integers n_1,n_2 such that a=9n_1 and b=9n_2, and


\mathrm{lcm}(a,b)=\mathrm{lcm}(9n_1,9n_2)=9\mathrm{lcm}(n_1,n_2)=378\implies\mathrm{lcm}(n_1,n_2)=42

We have 42=2\cdot3\cdot7, which means there are four possible choices of n_1,n_2:

1, 42
2, 21
3, 14
6, 7

which is to say there are also four corresponding choices for a,b:

9, 378
18, 189
27, 126
54, 63

whose sums are:

387
207
153
117

So the least possible value of a+b is 117.
6 0
3 years ago
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