Mathematics High School

Justin and his children went into a grocery store and he bought $18 worth of bananas and mangos. Each banana costs $0.60 and each mango costs $1.50. He bought 2 more bananas than mangos. Graphically solve a system of equations to determine the number of bananas, x, and the number of mangos, y, that Justin bought.

Write an answer in y=mx+b form, please.
Two equations.

Answers

Answer 1

Answer:

x=10 and y= 8.

Step-by-step explanation:

Given that the cost of 1 banana = $0.60

Cost of 1 mango = $1.50.

Total cost= $ 18

Here, x be the number of bananas and y be the numbers of mangos,

As the number of bananas is 2 more than the number of mangos,

So, x=y+2

[tex]\Rightarrow y=x-2 \cdots(i)[/tex]

Cost of x bananas [tex]=\$ 0.60 \times x[/tex]

Cost of y mangos [tex]=\$ 1.50 \times y[/tex]

Total cost = 0.6x+1.5y

[tex]\Rightarrow 18 = 0.6x+1.5y\\\\\Rightarrow 1.5y=18-0.6x\\\\\Rightarrow y= 12 - 0.4 x \cdots(ii).[/tex]

Solving both the equations (i) as well as (ii), graphically as shown in the figure by plotting both the graphs.

Both the graphs intersect at the point (10,8) as shown in the graph.

So, the solution of both the equations is, (x,y)=(10,8). i.e

The number of bananas = x= 10 and

the number of mangos = y = 8.

Justin And His Children Went Into A Grocery Store And He Bought $18 Worth Of Bananas And Mangos. Each

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answers

Answer:

Step-by-step explanation:

REF: 060309a

ANS:

(9,−2)

(x,y)-->(x+5,y-4)

Transformation involves changing the position of a point.

The image of the translation is (9,-2).

The point is given as:

[tex]\mathbf{A= (-2,3)}[/tex]

The image of the point is:

[tex]\mathbf{A'= (3,-1)}[/tex]

The translation rule is calculated as:

[tex]\mathbf{T = <x + 3--2,y-1-3>}[/tex]

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So, the image of (4,2) is:

[tex]\mathbf{Image = (4 + 5, 2 -4)}[/tex]

[tex]\mathbf{Image = (9, -2)}[/tex]

Hence, the image of the translation is (9,-2).

Answers

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Step-by-step explanation:

I just took a quiz on a p e x and it was correct! :)

Answer:

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Step-by-step explanation:

The local traffic update is given on a radio channel every 12 minutes from 4:00 p.m. to 6:30 p.m. You turn the radio on at 4:16 p.m. How long will you wait for the local traffic update?

Answers

Answer:

8 minutes

Step-by-step explanation:

The next traffic update will be at 4:24 p.m. because 12 x 2 = 24. 24 - 16 = 8, so you have to wait for 8 minutes.

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Answers

Answer:

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Step-by-step explanation:

a. 3 and 7 are prime numbers, so their LCM is their product, 21

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LCM = 2^2 * 5 = 20

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Answers

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the slope is -1/3x (aka -x/3)

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Answers

Answer:

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Step-by-step explanation:

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Ndhdhjjsjxjndjxjxjdnfnhdhfbdjjdjdhd

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Answers

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Step-by-step explanation:

here is a list of ingredients for making 12 rock cakes nihay wants to make 42 cakes does she have enough sugar to make 42rock cakes u must show your working

Answers

Step-by-step explanation:

So we know that for 12 rock cakes we need 225g flour and 75g sugar to get 42 rock cakes we need to multiply the number of ingredients by 3.5 (42/12 =3.5)

This gets us 787.5 g flour and 262.5 g sugar.

Show work:

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[tex]225 \times 3.5 = 787.5[/tex]

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Answers

Answer:

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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y=x^3 +2x−6x

Simplify x^3 +2x−6x to x^3 −4x.

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

y = -2/37x + 18/37

Step-by-step explanation:

2x + 37y = 18

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Answer:

Step-by-step explanation:

I know I did it

You help out at the bowling alley on weekends. One of the arcade games has a bin filled
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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer: The significance of the number 82.75 in the equation = amount charged per acre in the park.

Step-by-step explanation:

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Answers

Answer:

Step-by-step explanation:

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Answers

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Answers

9514 1404 393

Answer:

AB: -3BC: 2/3AC: -1/4

Step-by-step explanation:

The slope of a given segment is the ratio rise/run. The "rise" is the number of vertical divisions between the points. The "run" is the number of horizontal divisions between the points. The "run" is positive left-to-right. The corresponding "rise" is positive up.

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