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ioda
3 years ago
8

Sara ran 10km in 2.5 hours. Katerina ran 7.5 km in 2 hours. Candice ran 9.5 km in 2.25 hours. Who had the fastest average speed?

Justify your answer.
Mathematics
1 answer:
Arisa [49]3 years ago
6 0

10 km ÷ 2.5 hours = 4 km/h — This is Sara's record

7.5 km ÷ 2 hours = 3.75 km/h — This is Katerina's record

9.5 km ÷ 2.25 hours = 4.2 km/h — This is Candice's record

Therefore, the answer is Candice had the fastest average speed.

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Step-by-step explanation:

4(1)-3(3)=-5

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-5=-5

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3 years ago
Write an equation to match each statement. Then solve. #1) 8 less than a number x is -12. #2) 15 more than a number k is 2. #3)
guajiro [1.7K]
#1) x-8= -12
#2) 15+k= 2
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The / in #2 means to divide and the ( ) mean to multiply
5 0
3 years ago
A ball is thrown directly up in the air from a height of 5 feet with an initial velocity of 60 ft/s. Ignoring air resistance, ho
Mice21 [21]

Answer:

3.8 seconds

Step-by-step explanation:

Given equation

h= -16t^2 + 60t + 5

When the ball hits the ground then height is 0

So we replace h with 0 and solve for t

0= -16t^2 + 60t + 5

a= -16 , b= 60 and c= 5

Apply quadratic formula to solve for t

t=\frac{-b\pm \sqrt{b^2-4ac}}{2a}

=\frac{-60+\sqrt{60^2-4\left(-16\right)\cdot \:5}}{2\left(-16\right)}[/tex[tex]=\frac{-60+-\sqrt{3920}}{-32}

=\frac{-60+-28\sqrt{5}}{-32}

=\frac{4(-15+-7\sqrt{5})}{-32}

=\frac{(-15+-7\sqrt{5})}{-8}

Now make two fractions and solve for x

t= -\frac{7\sqrt{5}-15}{8}=-0.0815

t= \frac{7\sqrt{5}+15}{8}=3.83

So answer is 3.8 seconds


4 0
3 years ago
(–4c2 + 7cd + 8d) + (–3d + 8c2 + 4cd) =
BabaBlast [244]

Answer:

4c² + 11cd + 5d

Step-by-step explanation:

(–4c2 + 7cd + 8d) + (–3d + 8c2 + 4cd)

-4c² + 7cd + 8d - 3d + 8c² + 4cd (opening bracket)

8c²-4c²+7cd + 4cd + 8d - 3d

= 4c² + 11cd + 5d

4 0
2 years ago
Read 2 more answers
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