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Pavlova-9 [17]
3 years ago
5

Kayla hikes 25 meters in 13.7 seconds. Which of the following is closest to how far she will hike in 6 minutes , if she maintain

s the same pace?
A: 650 meters
B: 10 meters
C: 150 meters
D: 9000 meters
Mathematics
1 answer:
adoni [48]3 years ago
6 0

Answer: 650

Step-by-step explanation:

25/13.7 = x/360

[cross multiply] : (360)(25)/(13.7)(x)

= 9000/13.7

X=656.9

which is closest to 650

Answer choice for 650

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Can someone please explain how to solve this? And give me the answer?! THANK U !
Lyrx [107]

we know the segment QP is an angle bisector, namely it divides ∡SQR into two equal angles, thus ∡1 = ∡2, and ∡SQR = ∡1 + ∡2.

\bf \begin{cases} \measuredangle SQR = \measuredangle 1 + \measuredangle 2\\\\ \measuredangle 2 = \measuredangle 1 = 5x-7 \end{cases}\qquad \qquad \stackrel{\measuredangle SQR}{7x+13} = (\stackrel{\measuredangle 1}{5x-7})+(\stackrel{\measuredangle 2}{5x-7}) \\\\\\ 7x+13 = 10x-14\implies 13=3x-14\implies 27=3x \\\\\\ \cfrac{27}{3}=x\implies 9=x \\\\[-0.35em] ~\dotfill\\\\ \measuredangle SQR = 7(9)+13\implies \measuredangle SQR = 76

4 0
3 years ago
Ellie is renting a paddle boat. The boat rents for a 5 plus 3.50 per hour. She wants to spend under $30 altogether Write an ineq
Arada [10]
3.50x + 5 < 30

Ellie wants to spend less than 30, so it’ll be less than.
4 0
3 years ago
Answer correctly for the brainliest answer
Dahasolnce [82]

Similar triangles so AC:BC=AE:DE

15+6=21 = AE

15:12.5=21:?

to get from 15 to 12.5 you divide by 15 and times by 12.5 so do this the to the other side

21/15=1.4

1.4 x 12.5=17.5

So DE=17.5

4 0
3 years ago
A ball is projected in to the air. Its height at time t is given by the equation
Ksju [112]
The equation gives the height of the ball. That is, h is the height of the ball. t is the time. Since we are looking for the time at which the height is 8 (h=8), we need to set the equation equal to 8 and solve for t. We do this as follows:

h=-16 t^{2} +60t+1
8=-16 t^{2} +60t+1
16 t^{2} -60t-1+8=0
16 t^{2} -60t+7=0

This is a quadratic equation and as it is set equal to 0 we can solve it using the quadratic formula. That formula is:
t= \frac{-bplus minus \sqrt{ b^{2}-4ac } }{2a}
You might recall seeing this as "x=..." but since our equation is in terms of t we use "t-=..."

In order to use the formula we need to identify a, b and c.
a = the coefficient (number in front of) t^{2} = 16.
b = the coefficient of t = -60
c = the constant (the number that is by itself) = 7

Substituting these into the quadratic formula gives us:
t= \frac{-(-60)plus minus \sqrt{ (-60)^{2}-4(16)(7) } }{2(16)}
t= \frac{60plus minus \sqrt{3600-448 } }{32}
t= \frac{60plus minus \sqrt{3152 } }{32}

As we have "plus minus" (this is usually written in symbols with a plus sign over a minus sign) we split the equation in two and obtain:
t=  \frac{60+56.1426}{32} =3.63
and
t=  \frac{60-56.1426}{32} =.12

So the height is 8 feet at t = 3.63 and t=.12

It should make sense that there are two times. The ball goes up, reaches it's highest height and then comes back down. As such the height will be 8 at some point on the way up and also at some point on the way down.


3 0
4 years ago
How do you solve this problem using substitution or elimination?
saw5 [17]
3x=4y
x+y=21

x = 21-y
3(21-y)=4y

63-3y=4y
63=7y
y=9

x+y=21
x+9=21
x=12

answer is (12, 9)

6 0
3 years ago
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