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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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Find the length indicated.<br> ?<br> 5<br> 5) G<br> 17<br> A) 12<br> B) 36<br> C) 21
Crank

Answer:

your answer would be A.)12

Step-by-step explanation: You needed to find out what number you can put for it to add up to the number on the bottom line, 17. So you would add (12+5=17) , And you would get the same number as the number  on the bottom line.

~hope this explanation has helped~

6 0
3 years ago
Cedric completed the square for the quadratic expression 5x^2−40x+15 in order to determine the minimum value of the expression,
Olegator [25]

Answer:

Step 3 is not correct (should be (x-4)^2, not (x+4)^2

Step-by-step explanation:

The expression that we have to simplify is:

5x^2-40x+15

We proceed step-by-step, in order to find the mistake did by Cedric:

1) First, we factorize the 5 outside:

5(\frac{5x^2}{5}-\frac{40x}{5}+\frac{15}{5})=5(x^2-40x+3) --> this step is correct

2) We add +16 and -16 inside the brackets:

5(x^2-8x+16-16+3) --> this step is correct

3) We rewrite the term (x^2-8x+16) as the square of a bynomial, which is (x-4)^2, so the expression becomes

5((x-4)^2-16+3) --> we notice that this step is wrong: in fact, Cedric wrote (x+4)^2, which is not correct.

4) Now we continue: we rewrite -16+3 as -13,

5((x-4)^2-13)

5) Finally, we multiply the 5 by the terms in the bracket:

=5(x-4)^2-65

5 0
3 years ago
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