All categories

2 years ago

A deli offers two platters of sandwiches. Platter A has 2 roast

Mathematics

2 answers:

cestrela7 [59]2 years ago

6 0

Answer:

Answer a

Following is the equation system.

Equation 1: $2x+3y=31$ $

Equation 2 : $3x+2y=29\\$ $

Answer (b)

Cost of Roaster beef sandwich = 5$

Cost of Roaster turkey sandwich = 7$

Step-by-step explanation:

Part a

Let

x= roasted beef sandwich

y=turkey sandwich

Equation for platter A will be

Equation 1: $2x+3y=31$ $

Equation for Platter B will be

Equation 2 : $3x+2y=29\\$ $

Part b

We will solve both equations simultaneously.

Multiply Equation 1 with 2.

$2(2x+3y)=2*31\\4x+6y=62$

Similarly multiply Equation 2 with 3

$3(3x+2y)=29*3\\9x+6y=87$

Now subtract Equation 3 from equation 4

$(9x+6y)-(4x+6y)=87-61\\9x-4x+6y-6y=25\\5x=25\\x=25/5\\x=5$

Now putting the value of x in eq # 1

$2x+3y=31\\2(5)+3y=31\\10+3y=31\\3y=31-10\\3y=21\\y=21/3\\y=7$

aev [14]2 years ago

5 0

Answer:

Platter A = 2x + 3y =31

Platter B = 3x + 2y =29

Turkey. Sandwich is $5 each

Beef sandwich is $8 each

step explanation:

let's represent beef with x and turkey with y

Platter A = 2x + 3y =31

Platter B = 3x + 2y =29

To get the cost of each sandwich we should solve the simultaneous equation

2x +3y = 31.... equation 1

3x + 2y = 29 .....equation 2

Solve for y in equation 1

2x +3y = 31

3y = 31- 2x

y =( 31 - 2x)/3

Substitute for y in equation 2

3x + (31 - 2x) /3 = 29 multiply through by 3

9x + 31- 2x = 87 group the equation

9x - 2x = 87 - 31

7x = 56

x = 56/7

x = 8

Substitute for x in equation 1

2x +3y = 31

2(8) + 3y = 31

16 +3y = 31

3y = 31- 16

=15

y = 15/3

y = 5

You might be interested in

What is a necessary step for constructing perpendicular lines through a point off the line? A. Draw a line that intersects the f

adoni [48]

Answer:

Answer : C

Step-by-step explanation:

6 0

2 years ago

Read 3 more answers

a patio is shaped like a golden rectangle. it's length ( the longer side) is 16ft. what is the patios width? write your answer i

Trava [24]

$a\ golden\ rectangle:\ \ \ \frac{a+b}{a}= \frac{a}{b} \\----------------\\a+b=16\ [ft]\ \ \ \ \Rightarrow \ \ \ b=16-a\\\\ \frac{16}{a} = \frac{a}{16-a} \ \ \ \ \Leftrightarrow\ \ \ 16(16-a)=a^2\\\\a^2+16a-256=0\\\\\ \ \ \Rightarrow\ \ \ \Delta=16^2-4\cdot(-256)=256\cdot5\ \ \ \Rightarrow\ \ \ \sqrt{\Delta} =16 \sqrt{5} \\\\a_1= \frac{-16-16 \sqrt{5} }{2} =-8-8 \sqrt{5} 0\\\\$

$a=8( \sqrt{5} -1)\ \ \Rightarrow\ \ b=16-8( \sqrt{5} -1)=16-8\sqrt{5} +8=8(3- \sqrt{5} )\\\\Ans.\ This\ golden\ ractangle\ has\ sides:\\.\ \ \ \ \ \ \ 8( \sqrt{5} -1)\ [ft]\ \ and\ \ 8(3- \sqrt{5} )\ [ft]$

3 0

2 years ago

An auction website charges $1 for a bid. The bidding starts at 1¢ and goes up 1¢ at a time. A television that is worth $2000 is

zaharov [31]

160 in 1¢ steps means 16,000 bids so you invest $1 with a 1/16000 probability<span> of a $2000 return the expected value (in dollars) is ___ -1 + [(1/16000) * 2000)] this is why auction websites exist
THIS MEANS
</span>it is a 1/16,000 chance of earning<span> 1,999 while there is a 15,999 chance of losing a dollar so find 1/16000 which is 0.0000625 so do 1-0.0000625=.9999375 so .9999375*-1=-.9999375+(1999*.0000625=.1249375+-.9999375=0.875 </span>

7 0

2 years ago

Read 2 more answers

Rajeev has \$175$175dollar sign, 175 that he earned from his summer job. He puts the money in an account that yields 4\%4%4, per

Reptile [31]

It will take 4 yrs for Rajeev to reach 200$

8 0

2 years ago

Determine whether the dilation from the figure on the left to the figure on the right is an enlargement or a reduction. Then fin

dybincka [34]

Answer:

Step-by-step explanation:

we are going from a large shape to a smaller shape. the proof is that the side lengths go down from 7m to 0.5m. so, it is a reduction.

and the scaling factor s ? what do we need to multiply the original side lengths with to get the new ones ?

7 × s = 0.5 = 1/2

s = (1/2)/7 = (1/2)/(7/1) = (1×1)/(2×7) = 1/14

=> answer A is correct

8 0

2 years ago