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3 years ago

14

use your knowledge of angle relationships solve for x in the diagram below Justify Your solution by naming the geometric relatio

nship

1 answer:

SSSSS [86.1K]3 years ago

5 0

Answer:

x = 5°

Step-by-step explanation:

5x + 21° + 20x + 34° = 180°

25x + 55° = 180°

25x = 180° - 55°

25x = 125°

x = 125°/25

x = 5°

Hope you got it dear !!!!

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Four scarves and six hats is $52.00
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<span>2h=s+1 </span>
<span>s=2h-1 </span>

<span>substitute for s </span>
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<span>8h-4+6h=52 </span>
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3 years ago

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2 years ago

At a student café, there are equal numbers of two types of customers with the following values. The café owner cannot distinguis

Shkiper50 [21]

Based on the prices, the willingness to pay of the students and the costs, the profits will be:

Mixed bundling = 209.
Price separately = 199.
Bundle Only = 202.

The pricing strategy that yields the highest profit is the Mixed bundling strategy.

<h3>What is the profit from Mixed bundling?</h3>

First find the willingness to pay for both the students with early classes and those without.

Student with early classes: Students without early classes:

= 73 + 53 = 63 + 103

= 126 = 166

At a mixed bundling price of 166, only students without early classes will be able to afford the bundle as their willingness to pay is 166.

Student with early classes will only take the coffee at 73 because their willingness to pay of 126 is lower than the 166 bundle price.

Profit is:

= (Bundle price + Coffee price) - (Marginal cost of two coffees + Marginal cost of banana)

= (166 + 73) - (2 x 5 + 20)

= 209

<h3>What is the profit from pricing separately?</h3>

At separate only pricing students without early classes will be able to afford the both things at 166.

Student with early classes will only take the coffee at 63 because their willingness to pay of 126 won't allow them to take both items.

Profit:
= (63 + 63 + 103) - (2 x 5+ 20)

= 199

<h3>What is the profit from price separately?</h3>

At a bundle only price of 126, both the students with early classes and those without early classes will be able to afford the bundle as their willingness to pay, match the price.

Profit will be:
= (126 + 126) - (2 x 5 ) for coffee - (2 x 20) for bananas

= 202

In conclusion, the woman should go with the Mixed bundling as it gives the highest profit of 209.

Find out more on pricing strategies at brainly.com/question/7303679.

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2 years ago

At a bargain store, Spongebob bought 3 items that each cost the same amount. Patrick bought 5 items that each cost the same amou

Mrrafil [7]

Answer:

(a) The equation is 3 × x = 5 × (x - 1.5)

(b) The price of each item Spongebob bought is $3.75

The price of each item Patrick bought is $2.25

(c) The total cost of the items bought by Spongebob = $11.25 = The total cost of the items of items bought by Patrick bought

(d) The prices of the 3 items that Spongebob bought are $3.75 each. The prices of the 5 items that Patrick bought are $2.25 each

Step-by-step explanation:

The given parameters are;

The number of items Spongebob bought = 3 items

The price of each item Spongebob bought = The same = x

The number of items Patrick bought = 5 items

The price of each item Patrick bought = Equal price = x - 1.5

The amount of money Spongebob paid = The amount of money Patrick paid

(a) Therefore, the equation with representing the expressions are;

The total price Spongebob paid = (The number of items Spongebob bought) × (The price of each item Spongebob bought)

The total price Spongebob paid = 3 × x

The total price Patrick paid = (The number of items Patrick bought) × (The price of each item Patrick bought)

The total price Patrick paid = 5 × (x - 1.5)

The equation is 3 × x = 5 × (x - 1.5)

(b) From the following equation;

The amount of money Spongebob paid = The amount of money Patrick paid

We have;

3 × x = 5 × (x - 1.5)

3 × x = 5 × x - 7.5

7.5 = 5 × x - 3 × x = 2 × x

x = 7.5/2 = 3.75

x = $3.75

Therefore;

The price of each item Spongebob bought = x = $3.75

The price of each item Spongebob bought = $3.75

The price of each item Patrick bought = x - 1.5 = $3.75 - $1.5 = $2.25

The price of each item Patrick bought = $2.25

(c) We check the total cost of the items of items bought by Spongebob as follows;

The total amount of cost of the items bought by Spongebob = 3 × $3.75 = $11.25

The total cost of the items of items bought by Spongebob = $11.25

The total cost of the items of items bought by Patrick bought = 5 × $2.25 = $11.25

The total cost of the items of items bought by Patrick bought = 5 × $2.25 = $11.25

The total cost of the items of items bought by Patrick bought = $11.25

From which we have;

The total cost of the items bought by Spongebob = $11.25 = The total cost of the items of items bought by Patrick bought

(d) The prices of the 3 items that Spongebob bought are $3.75 each. The prices of the 5 items that Patrick bought are $2.25 each.

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3 years ago