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3 years ago

Sami Kemal spent $7.95, $15.20, and $12.47 on entertainment. His

Mathematics

1 answer:

Dmitriy789 [7]3 years ago

4 0

Answer:

$14.38

Step-by-step explanation:

<u>Money spent:</u>

7.95 + 15.20 + 12.47 = 35.62

<u>Money left:</u>

50 - 35.62 = 14.38

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my neighbor has two cats and both cats have yellow eyes. therefore when to cats live together, they will both have yellow eyes.

Whitepunk [10]

Inductive reasoning has to do with coming to a certain prediction or a conclusion based on multiple true premises.
Here, we know that these two cats live together and that they have yellow eyes. These two statements are true. So, naturally, we can conclude that any two cats which live together will have yellow eyes.
Now, whether or not this is correct, that is beside the point.

3 0

3 years ago

Tyler works in retail where she earns $10.50 per hour. She also earns $15 for every new credit account she gets customers to ope

Hitman42 [59]

A
coefficient = 10.50 or 15, both real numbers that qualify variables
variable = c and h
constant = 50

B
10.50h + 15c + 50
10.5 x 37 + 15 x 12 + 50
388.50 + 180 + 50 = 618.50

C
Coefficient would change from 10.50 to 11.25
<span>It is fixed until the next raise.

I hope my answer has come to your help. God bless and have a nice day ahead!</span>

4 0

3 years ago

Read 2 more answers

Maya drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took 12 hours. When Maya drove

Roman55 [17]

Answer:

480 miles.

Step-by-step explanation:

Let x represent the distance between Maria's house and mountains ans r represent Maria's rate for going trip.

We have been given that there was heavy traffic on the way there, and the trip took 12 hours.

$\text{Distance}=\text{Rate}\times \text{Time}$

$x=12r$

We are also told that hen Maya drove home, there was no traffic and the trip only took 8 hours. Maria's average rate was 20 miles per hour faster on the trip home.

So Maria's speed while returning back would be $r+20$ .

$x=8(r+20)$

Upon equating both distances, we will get:

$12r=8(r+20)$

$12r=8r+160$

$12r-8r=8r-8r+160$

$4r=160$

$r=\frac{160}{4}$

$r=40$

Upon substituting $r=40$ in equation $x=12r$ , we will get:

$x=12r\\\\x=12(40)\\\\x=480$

Therefore, Maya live 480 miles away from the mountains.

7 0

3 years ago

The greatest common factor(GCF) of LaTeX: x^7,\:x^3,\:x^5\:is\:_{ }__________.

wolverine [178]

Answer:

Step-by-step explanation:

We are to find the greatest common factor of x^7, x^3 and x^5

x^7 = x^3 * x^4

x^3 = x^3 * 1

x^5 = x^3 * x^2

From both factors, we cam see that x^3 is common to the three, hence the GCF is x^3

7 0

2 years ago

For what values of θ is sinθ < cosθ when 0 ≤ θ < π ?

zysi [14]

<h3>Answer: $0 \le \theta < \frac{\pi}{4}$ </h3>

=========================================================

How to get this answer:

Use the unit circle to note that $\sin\theta = \cos\theta = \frac{\sqrt{2}}{2}$ when $\theta = \frac{\pi}{4}$ (aka 45 degrees)

Beyond this point, cosine is smaller than sine. This means that anything from 0 to pi/4 will have sine be smaller than cosine. It might help to graph y = sin(x) and y = cos(x) on the interval from x = 0 to x = pi.

The two curves y = sin(x) and y = cos(x) intersect at the point $\left(\frac{\pi}{4}, \frac{\sqrt{2}}{2}\right)$

-------------------------------

Here's a more detailed picture of whats going on.

$\sin \theta < \cos \theta\\\\\sin \theta < \sqrt{1-\sin^2\theta}\\\\\sin^2 \theta < 1-\sin^2\theta \\\\2\sin^2 \theta < 1\\\\\sin^2 \theta < \frac{1}{2}\\\\\sin \theta < \sqrt{\frac{1}{2}}\\\\\sin \theta < \frac{1}{\sqrt{2}}\\\\\sin \theta < \frac{\sqrt{2}}{2}\\\\\theta < \arcsin\left(\frac{\sqrt{2}}{2}\right)\\\\\theta < \frac{\pi}{4}\\\\$

Intersect the intervals $0 \le \theta < \pi$ and $\theta < \frac{\pi}{4}$ and you'll end up with the final answer $0 \le \theta < \frac{\pi}{4}$

4 0

3 years ago