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2 years ago

4 Eric sketches a rectangle with a perimeter of

Mathematics

1 answer:

natka813 [3]2 years ago

7 0

Answer:

2(x) + 2(x + 3) = 90

Step-by-step explanation:

Width: x inch.

Length: (x + 3) inch.

P = 2 $w^{}$ + 2 $l^{}$

P = 2(x) + 2(x + 3) = 90

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A train leaves boston at 2:00 pm. a second train leaves the same city in the same direction at 6:00 pm. the second train travels

AURORKA [14]

$\boxed {\boxed { \text {Distance = Speed x Time}}}$

First Train:
Time taken = 9 hours (2pm to 11pm)
Let the speed be x
Distance = Time x Speed = 9x

Second Train:
Time taken = 5 hours (6pm to 11pm)
Speed = x + 48
Distance = Time x Speed = 5(x + 48)

Since both the distance they traveled are the same, we equate the distance to solve for x.

Solve for x:
9x = 5(x + 48)
9x = 5x + 240
4x = 240
x = 60

Find the speed:
x = 60 mph
x + 48= 108 mph

Answer: The spend of the two trains are 60 mph and 108 mph.

3 0

3 years ago

Explain why the initial value of any function of the form f(x) = a(bx) is equal to a.

Serggg [28]

Answer:

Step-by-step explanation:

f(x) = a(b^x), the initial value is always a, because a is independent of x , so when x changes only b^x changes.ex if a = 2, b = 3, and x = 0: f(0) = 2 (3^0) = 2 If x = 1, then f(1) = 2 (3^1) = 2 (3). If x = 2, then f(2) = 2 (3^2) = 2 (9), as you can see a still the same.

7 0

3 years ago

It is estimated that 3% of the athletes competing in a large tournament are users of an illegal drug to enhance performance. The

yuradex [85]

Answer:

probability that an athlete who tests positive is actually a user

= 0.2177

Step-by-step explanation:

To solve this problem, we create a table that relates the test results and the status of the athletes.

We arbitrarily take a sample of 10000 atheletes to work with whole numbers.

Out of that, 300 are users (3% on the average), and 9700 are non users.

Of the users, 270 users will test positive (90% accuracy) and 30 will test negative.

Similarly, of the non-users, 970 will test positive, and 8730 will test negative.

This gives 1240 positive tests, and 8760 negative tests.

Of the 1240 who test positive, 270 are actually users.

Therefore the probability of the positive test results are actually users

= 270/1240 = 0.2177

7 0

3 years ago

Which ordered pair is the solution to the system of equations?

nata0808 [166]

The answer is C(3, -9)

4 0

2 years ago

Read 2 more answers

What is 22 divided by 4722

Stolb23 [73]

11/2361 is the answer

3 0

3 years ago