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Artist 52 [7]
3 years ago
6

Blake and his children went into a bakery and where they sell donuts for $1.50 each and cookies for $0.50 each. Blake has $15 to

spend and must buy no less than 12 donuts and cookies altogether. If Blake decided to buy 10 cookies, determine the maximum number of donuts that he could buy. If there are no possible solutions, submit an empty answer.
Mathematics
1 answer:
sp2606 [1]3 years ago
7 0

Answer: 6 donuts

Step-by-step explanation:

Given the following :

Cost of donut = $1.50

Cost of cookies = $0.50

Amount to spend = $15

Total number of donut and cookies to buy must not be less than 12

Number of cookies purchased = 10

Maximum number of donuts Blake could buy:

Amount spent on cookies = (10 × $0.50) = $5

Amount left to spend = ($15 - $5) = $10

Maximum number of donuts Blake could buy:

Amount left / cost per donut

= $10 / $1.50

= $6.66

Hence, maximum number of donut would be 6

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Step-by-step explanation:

NA = √[(- 4 - 1 )² + (- 3 - 2)²] = 5√2

AT = √[(8 - 1 )² + (1 - 2)²] = 5√2

TS = √[(3 - 8 )² + (- 4 - 1)²] = 5√2

NS = √[(- 4 - 3 )² + (- 3 + 4)²] = 5√2

NA = AT = TS = NS = 5√2

m_{NA} = (- 3 - 2) / (- 4 - 1) = 1 ........ <em>(1)</em>

m_{TS} = (- 4 - 1) / (3 - 8 ) = 1 ......... <em>(2)</em>

From (1) and (2) ⇒ NA║TS

m_{AT} = ( 1 - 2) / ( 8 - 1) = - 1 / 7 .......... <em>(3)</em>

m_{NS} = ( - 4 + 3) / ( 3 + 4) = - 1 / 7 .... <em>(4)</em>

From (3) and (4) ⇒ AT║NS

Thus, NATS is rhombus.

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The expressions that represent number of tiles that Devon used on her mosaic:

A. 20 + 2t + 2c

D. 20 + t + t + c + c

<h3>What is an expression?</h3>

An expression refers to a mathematical equation which shows the relationship between two or more numerical quantities or variables.

For the expressions that represent number of tiles that Devon used on her mosaic:

  • Let the triangle tiles be t.
  • Let the circle tiles be c.
  • Two rows of t triangle tiles = t + t = 2t.
  • Two rows of c circle tiles = c + c = 2t.

Mathematically, the expression is given by:

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Read more on expressions here: brainly.com/question/12189823

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Complete Question:

Devon made a mosaic in art class with different-shaped tiles. She started by putting 2 rows of t triangle tiles at the top of the mosaic and 2 rows of c circle tiles at the bottom. She finished by putting 20 square tiles in between the triangle and circle tiles.

Pick all the expressions that represent how many tiles Devon used on her mosaic.

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B. 20 + 4 ( t + c )

C. 2 ( 20 + t + c )

D. 20 + t + t + c + c

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