On which days did Kay bike a whole number of miles

Hat is the value of x in the equation −x = 3 − 4x + 15? −18 −6 6 18

nadya68 [22]

I believe that x is equal to 6. x=6

7 0

2 years ago

Solve for N, −2p + 6n = 5

topjm [15]

Answer:

$n=\frac{1}{3}p+\frac{5}{6}$

Step-by-step explanation:

In this question, you are solving for n.

Solve:

−2p + 6n = 5

We have to get "n" by itself, so add 2p to both sides.

6n = 2p + 5

Since the variable "n" has a number next to it, we have to get rid of that number in order to get our answer.

To do so, we would divide both sides by 6.

$n=\frac{2}{6}p+\frac{5}{6}$

Simplify the equation further.

$n=\frac{1}{3}p+\frac{5}{6}$

5 0

2 years ago

PLEASE HELP!! NO LINKS!! GIVING 20 POINTS AWAY!!

shutvik [7]

Answer:

$m\angle N = 32\degree$

$m\widehat {NQ}=106\degree$

Step-by-step explanation:

By inscribed angle theorem:

$m\angle N = \frac{1}{2} \times m\widehat {MP}$

$m\angle N = \frac{1}{2} \times 64\degree$

$m\angle N = 32\degree$

Again by inscribed angle theorem:

$m\angle P= \frac{1}{2} \times m\widehat {NQ}$

$53\degree = \frac{1}{2} \times m\widehat {NQ}$

$2\times 53\degree = m\widehat {NQ}$

$m\widehat {NQ}=106\degree$

5 0

3 years ago

You are painting the root of a boathouse. You are going to place the base of a ladder 12 feet from the boathouse. How long does

jolli1 [7]

Answer:

37 ft

Step-by-step explanation:

The ladder forms a right triangle as it elan's against the wall of the boat house.

Thus, the length of the ladder can be determined using Pythagorean theorem.

c² = a² + b²

c = length of ladder

a = 35 ft

b = 12 ft

Plug in the values

c² = 35² + 12²

c² = 1,225 + 144

c² = 1,369

c = √1,369

c = 37

Therefore, to reach the roof of the boathouse, the length of the ladder = 37 ft

4 0

3 years ago

Use each model to predict the life expectancy of residents of a country for which the average annual income is $80,000

Mandarinka [93]

The life expectancies of residents of a country for which the average annual income is $80,000 for the three models are 12309.9352, 172.2436 and 4828.1393

The life expectancies of the models are given as:

$y =69.9352 + 0.1530\times (income)$ --- model 1

$y =4.2436 + 0.0021\times (income)$ --- model 2

$y =4.1393 + 0.0603\times (income)$ --- model 3

Given that the average annual income is $80,000;

We simply substitute 80000 for income in the equations of the three models.

So, we have:

Model 1

$y =69.9352 + 0.1530\times (income)$

$y =69.9352 + 0.1530\times 80000$

$y =12309.9352$

Model 2

$y =4.2436 + 0.0021\times (income)$

$y =4.2436 + 0.0021\times 80000$

$y =172.2436$

Model 3

$y =4.1393 + 0.0603\times (income)$

$y =4.1393 + 0.0603\times 80000$

$y =4828.1393$

Hence, the life expectancies are 12309.9352, 172.2436 and 4828.1393