1. Daniel has a piece of wire that is į

At the store you can buy 11 oranges for 4.29. what would the cost of 17 oranges be ?

Iteru [2.4K]

Answer:

6.63

Step-by-step explanation:

Cost of 11 oranges = 4.29

Cost of 1 orange = 4.29/11 = 0.39

Cost of 17 oranges = 0.39*17 = 6.63

5 0

2 years ago

Suppose that angle COP and angle TOD are vertical angles, the measure of angle COP is 11x-17 and The measure of angle TOD is 9x+

crimeas [40]

The measure of <COD and <POT are 43 and 43degrees respectively

The point where two lines meet or intersect is known as an angle:

Is <COP and angle TOD are vertical angles, this means that they are equal i.e.

<COP = <TOD

Given that:

<COP = 11x - 17

<TOD = 9x + 11

Equate both expressions

11x - 17 = 9x + 11

11x - 9x = 11 + 17

2x = 28

x = 28/2

x = 14

Get <COP

<COP = 11x - 17

<COP = 11(14) - 17

<COP = 154-17

<COP = 137 degrees

Since <COP = <TOD, hence <TOD = 137 degrees

Calculate <COD:

<COD + <TOD = 180

<COD + 137 = 180

<COD = 180 - 137

<COD = 43 degrees

Also <POT = <COD = 43degrees(vertically opposite angles)

Hence the measure of <COD and <POT are 43 and 43degrees respectively

Learn more here: brainly.com/question/17247176

4 0

2 years ago

There were 63 equal piles of plantain fruit put together and 7 single fruits. They were divided evenly among 23 travelers. What

antiseptic1488 [7]

Answer:

There are 28 fruits in each pile.

Step-by-step explanation:

We are given the following in the question:

Let x denote the number of fruits in each pile and y denote the number of fruits that every traveler receive.

Consider the diophantine equation:

$63x + 7 = 23y\\63x-23y = -7$

We obtain the greatest common divisor of (63,-23).

The greatest common divisor f 63 and -23 is 1.

Therefore, there exist $\alpha,\beta$ such that

$-23\alpha+63\beta=1$

By applying extended Euclidean Algorithm, we have,

$1 = (1\times 6)+(-1\times 5)\\1 = (1\times 17)+(3\times 6)\\1 = (3\times 23)+(-4\times 17)\\1 = (-4\times 40)+(7\times 23)\\1 = (7\times 63)+(-11\times 40)\\1 = (-11\times -23)+(-4\times 63)$

$1 = (-11\times -23) + (-4\times 63)$

Multiplying -7 on both sides, we get,

$-7 = (77\times -23) + 28\times 63)$

Thus, we get,

$x = 28\\y=77$

Thus, there are 28 fruits in each pile.

7 0

3 years ago

The pattern of numbers below is an arithmetic sequence:

sertanlavr [38]

The pattern of numbers below is an arithmetic sequence: 14, 24, 34, 44, 54, ... Which statement describes the recursive function used to generate the sequence?

A. The common difference is 1, so the function is f(n + 1) = f(n) + 1 where f(1) = 14.
B. The common difference is 4, so the function is f(n + 1) = f(n) + 4 where f(1) = 10.
C. The common difference is 10, so the function is f(n + 1) = f(n) + 10 where f(1) = 14.
D. The common difference is 14, so the function is f(n + 1) = f(n) + 14 where f(1) = 10.

4 0

3 years ago

Read 2 more answers

Identifying Slope and y-Intercept of a Line

Ira Lisetskai [31]

Step-by-step explanation:

The slope-intercept form of an equation of a line:

y = mx + b

m - slope

b - y-intercept

y = 1 - 3x = -3x + 1

slope = -3

y-intercept at 1

y = 3x - 1

slope = 3

y-intercept at -1

x - 3 = y → y = 1x - 3

slope = 1

y-intercept at -3

x + 3 = y → y = 1x + 3

slope = 1

y-intercept at 3

6 0

3 years ago