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algol [13]
3 years ago
10

Willie runs 5 miles in 20 minutes. If Willie runs at the same rate, how many miles can he run in 28 minutes?

Mathematics
2 answers:
aksik [14]3 years ago
6 0
7 miles. You divide 5 by 20 mins and then multiple that product by 28
Amiraneli [1.4K]3 years ago
4 0

Answer:

7 miles

Step-by-step explanation:

5/20=x/28

20x=140

x=7

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Arrange the parabolas represented by the equations in increasing order with respect to the y-values of their directrixes.
Alexus [3.1K]
(x-h)^2=4P(y-k), vertex is (h,k)
P is distance from vertex to directix
remember to subtract P from the y value of the vertex (p-k) and that y value is the directix, y=p-k

nut
ok so one way is to just graph them on a graphing utility
remember if the graph opens up, then the directix is below that
or we can convert to 4P(y-k)=(x-h)^2 form where P is distance from directix

I will only convert the 1st one fully, you should be able to do the rest

1. y=-x^2+3x+8
multiply both sides by -1 since we don't like the x^2 term negative
-y=x^2-3x-8
add8 to both sides
-y+8=x^2-3x
take 1/2 of linear coeficient and square it and add to both sides
-3/2=-1.5
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-y+10.25=x^2-3x+2.25
factor perfect square
-y+10.25=(x-1.5)^2
force undistribute -1 in left side
(-1)(y-10.25)=something, we don't care anymore for now
factor out a 4 in -1
4(-1/4)(y-10.25)

k=10.25
p=-1/4=-0.25
directix=k-p=10.25-(-0.25)=10.5
directix is y=10.5

basically completee the square with x and find P by force factoring a 4 out

2.  directix: y=-1.75

3. directix: y=1.5

4. directix: y=17.25

5. d: -37.5

6. d: 9.25

7. d=2.625

order them yourself

7 0
3 years ago
Katy uses 1 8/9 bags of chocolate chips in one batch of cupcakes. if she has 3 11/12 bags of chocolate chips left, about how man
Oksi-84 [34.3K]
1 (8/9) = 1.88888888
3 (11/12) = 3<span><span>.9166666667 </span>

</span>
3<span>.91666 / </span>1.8888 =  <span> <span> <span> 2.0735294118 </span> </span> </span>

So, she can make 2 batches of cupcakes.


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2 years ago
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3 years ago
Look at the pic and please help do only number 3 please
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They must have the same solution because they are doubled from eachother
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It’s d for sure I really believe it’s d
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