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Kisachek [45]
3 years ago
9

In the toy shop of the theme park is a shelf full of gifts. Two of the gift packets are yellow. One of the yellow packets is the

sixth from the left, the other packet is the eighth from the right. Between the two yellow gift packets there are three differently colored packages. How many presents are at least on the shelf?
Mathematics
2 answers:
Angelina_Jolie [31]3 years ago
8 0

Answer:

There is 9 gifts packets on the shelf.

Step-by-step explanation:

"o" represents a not yellow gift packet and "i" represents a yellow packet.

It says "One of the yellow packets is the sixth from the left" so we have

???iooooo

then it says "the other packet is the eighth from the right" AND "Between the two yellow gift packets there are three differently colored packages"

So we have

oooioooio because there is no "17" answer so it can't be

oooooooioooiooooo

Levart [38]3 years ago
6 0

Answer:

9

Step-by-step explanation:

Let y represent the yellow packets and n represent the non-yellow packets.

We know that the two yellow packets are separated by 3 non-yellow packets; this gives us

y n n n y

somewhere in the middle of the shelf.

We are not told which packets is 6th from the left and which is 8th from the right.  To minimize the total number of packages, assume the y on the left is 8th from the right.  Counting from it to the right, we have 5 already; this means we would have 3 more n's after the y on the right:

y n n n y n n n

Now we will assume the y on the right is 6th from the left.  Counting from it to the left, we have 5 already; this means we would have 1 more n before the y on the left:

n y n n n y n n n

Counting these together, we have 9 packages.

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3 years ago
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At the end of the day of teaching the skill of cutting and sewing to make capes, Ms. Ironperson and Mr. Thoro decided to go to t
Thepotemich [5.8K]

Answer:

a) What is the cost of a chicken shawarma wrap?

$10.99

b) What is the cost of one order of spiced potatoes?

$4.99

c) If x denotes the cost of a chicken shawarma wrap and y denotes the cost of an order of spiced potatoes, what are the equations needed to solve this problem?

3x + 2y = $42.95 .............Equation 1

5x + 4y = $74.91 ................Equation 2

Step-by-step explanation:

Let x denotes the cost of a chicken shawarma wrap and y denotes the cost of an order of spiced potatoes,

Cost of a chicken sharwarma wrap = x

Cost of an order of spiced potatoes = y

Ms. Ironperson ordered 3 chicken shawarma wraps and 2 orders of spiced potatoes for a total bill of $42.95.

3x + 2y = $42.95 .............Equation 1

Mr. Thoro ordered 5 chicken shawarma wraps and 4 orders of spiced potatoes for a total bill of $74.91.

5x + 4y = $74.91 ................Equation 2

Hence, the Equations needed to solve the question is:

3x + 2y = $42.95 .............Equation 1

5x + 4y = $74.91 ................Equation 2

We use Elimination method to solve for this.

Multiply Equation 1 by coefficient of x in Equation 2

Equation 2 by coefficient of x in Equation 1

3x + 2y = $42.95 .............Equation 1 × 5

5x + 4y = $74.91 ................Equation 2 × 3

15x + 10y = 214.75..............Equation 3

15x + 12y = 224.73..............Equation 4

Subtract Equation 3 from Equation 4

2y = 9.98

y = 9.98/2

y = 4.99

Therefore, y = Cost of an order of spiced potatoes = $4.99

Subtitute 4.99 for y in Equation 1

3x + 2y = $42.95 .............Equation 1

3x +2(4.99) = 42.95

3x + 9.98 = 42.95

3x = 42.95 - 9.98

3x = 32.97

x = 32.97/3

x = 10.99

x = Cost of a chicken sharwarma wrap = $10.99

Therefore,

The cost of a chicken sharwarma wrap = $10.99

The cost of an order of spiced potatoes = $4.99

4 0
3 years ago
A line y intercept is 0 and its slope is 8 what is its equation in slope intercept form
slega [8]

Answer:

y=8x

since it goes up by 8 each time and theirs nothing added since its intercept is 0

Hope This Helps!!!

4 0
2 years ago
Read 2 more answers
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