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ella [17]
2 years ago
15

Driving across country, mike drove for 3 hours at a certain rate and for 4 hours at a rate 10 mph faster. If his total distance

covered was 495 miles, then what was his slower rate?
Mathematics
1 answer:
Agata [3.3K]2 years ago
5 0

Answer:

65 mph

Step-by-step explanation:

Let x mph be Mike's slower rate, then his faster rate is x+10 mph.

1. Mike drove for 3 hours at a slower rate, thus he drove

x\cdot 3=3x\ miles

2. Mike drove for 4 hours ar a faster rate, so he drove

(x+10)\cdot 4=4x+40\ miles

3. In total he drove 495 miles. Hence

3x+4x+40=495\\ \\7x=495-40\\ \\7x=455\\ \\x=65\ mph

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Answer:

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Step-by-step explanation:

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Is ΔWXZ ≅ ΔYZX? Why or why not? Yes, they are congruent by SAS. Yes, they are both right triangles. No, the triangles share side
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I will attached the picture of what you are talking about here. The answer for this problem is: Yes, that they are congruent by SAS. Meaning that the triangles are congruent if their included angles and any pair of corresponding sides are equal in both triangles. In this case, the sides are both 21 cm and this will make the angle equal for both triangles, so that is why they are congruent.

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Shota is a dangerous fellow who likes to go rock climbing in active volcanoes. One time, when he was 303030 meters below the edg
Alex

Answer:

5m/s;

6 seconds

Step-by-step explanation:

Given the following :

Initial position = 30 m below

He climbed at a constant rate, and was 7.5 m below after 4.5 s.

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(30 - 7. 5)m = 22.5 meters

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Speed = distance covered / time taken

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Shota's speed = 22.5m / 4.5s = 5m/s

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= distance / speed

= (7.5m ÷ 5m/s) = 1.5s

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6 0
2 years ago
Merei and Jona buy the $2000 Super PC special package desktop computer. What is the total amount they will pay? Question respons
omeli [17]

Answer:

$2000

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5 0
1 year ago
If h:k = 2:5, x:y=3:4 and 2h+x:k+2y = 1:2, find the ratio h-x: k-y.​
fenix001 [56]

Given:

h:k=2:5,x:y=3:4,2h+x:k+2y=1:2

To find:

h-x:k-y

Solution:

We have, h:k=2:5 and x:y=3:4.

Let the values of h and k are 2a and 5a respectively.

Let the values of x and y are 3b and 4b respectively.

We have,

2h+x:k+2y=1:2

It can be written as

\dfrac{2h+x}{k+2y}=\dfrac{1}{2}

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On further simplification, we get

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Now,

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h-x:k-y=\dfrac{\dfrac{4b}{3}-3b}{\dfrac{10b}{3}-4b}

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h-x:k-y=\dfrac{-5b}{-2b}

h-x:k-y=\dfrac{5}{2}

h-x:k-y=5:2

Therefore, the ratio h-x:k-y is 5:2.

8 0
1 year ago
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