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pychu [463]
3 years ago
8

An athlete runs 8 miles in 50 minutes on a treadmill. At this rate how far can the athlete run in 1 hour

Mathematics
2 answers:
alexdok [17]3 years ago
3 0
Set it up into ratio or proportion

8/50 :: x/60
Allushta [10]3 years ago
3 0
The athlete would run 9.6 miles in 1 hour because if you convert 1 hour into minutes you get 60 minutes and if you put it as a proportion 8/50 equals x/60 solve for x and 60 * 8 equals 480 and 480 divided by 50 equals 9.6
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Write y= -3/4x - 6 in standard form using integers.
Dafna11 [192]

Answer:

The standard form is  3x+4y=-24

Step-by-step explanation:

The standard form of a linear equation can be written as

ax+by=c

The given equation is

y=-\frac{3}{4}x-6


This equation is in the slope-intercept form.


To rewrite this in standard form, we must multiply through by the least common multiple which is 4.


4y=-3x-24


We now add 3x to both sides of the equation to obtain,

4y+3x=-3x+3x-24


This simplifies to

4y+3x=0-24


Hence the standard form is

3x+4y=-24


The correct answer is A





6 0
3 years ago
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snow_lady [41]

Answer:

1. D. 1

2. B. y=a³/x

3. A. y=1/x

Step-by-step explanation:

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7 0
3 years ago
Manny says that the diagram shows a centroid. Is he correct? Why or why not? no, because the centroid is where the altitudes mee
timama [110]
Manny is a incorrect his logic doesn't not provide any specific evidence to support his theory
8 0
4 years ago
Read 2 more answers
How many positive integers $n$ satisfy $127 \equiv 7 \pmod{n}$? $n=1$ is allowed.
Svetllana [295]
Naturally, any integer n larger than 127 will return 127\equiv127\mod n, and of course 127\equiv0\mod127, so we restrict the possible solutions to 1\le n.

Now,

127\equiv7\mod n

is the same as saying there exists some integer k such that

127=nk+7

We have

\implies 120=nk

which means that any n that satisfies the modular equivalence must be a divisor of 120, of which there are 16: \{1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120\}.

In the cases where the modulus is smaller than the remainder 7, we can see that the equivalence still holds. For instance,

127=21\cdot6+1\iff127\equiv1\equiv7\mod6

(If we're allowing n=1, then I see no reason we shouldn't also allow 2, 3, 4, 5, 6.)
5 0
3 years ago
Write the equation 2x - 3y = 6 in slope-intercept form.<br>​
ohaa [14]

Answer:

y=2/3x-2

Step-by-step explanation:

5 0
3 years ago
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