One number is five less than a second number. Three times the first is 14 more than 4 times the second. Find the numbers.

Mathematics

1 answer:

Evgen [1.6K]3 years ago

8 0

Answer:

Second number = -29

First number = -34

Step-by-step explanation:

Second number = x

First number = x - 5

3*(x-5) = 4x + 14

3x - 3*5 = 4x + 14

3x - 15 = 4x + 14

-15 = 4x +14 - 3x

-15 = x + 14

-14 - 15 = x

x = -29

Second number = -29

First number = -29 - 5 = -34

You might be interested in

Find the range for f(x) = x^2 1, for x < 0. y ≥ 1 y > 1 y < 1 y ≤ 1

Rus_ich [418]

For x < 0, range is y ≤ 1.

3 0

3 years ago

Find the missing side length of the right triangle.

Tomtit [17]

This is just some pythagorean theorem, or a^2 + b^2 = c^2. We have a and b, which is 9 and 12, and we need to find c. To find c, we need to first square those, giving u 81 and 144. Now, we need to add them, giving us 225, meaning c^2 = 225. However, we need to find c on its own, so we have to find the square root of 225. That would be 15.

5 0

2 years ago

From a July 2019 survey of 1186 randomly selected Americans ages 18-29, it was discovered that 248 of them vaped (used an e-ciga

jasenka [17]

Answer:

The 90% confidence interval is (0.1897, 0.2285).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence interval $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

Z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$

For this problem, we have that:

From a July 2019 survey of 1186 randomly selected Americans ages 18-29, it was discovered that 248 of them vaped (used an e-cigarette) in the past week. This means that $n = 1186, \pi = \frac{248}{1186} = 0.2091$