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tresset_1 [31]
3 years ago
14

Translate to an algebraic expression: 15 less than six times a number, y.

Mathematics
1 answer:
Natalija [7]3 years ago
6 0

Answer:

4

Step-by-step explanation:

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There is a mountain with 45 bat caves in a row. Every cave has at least 2 bats and there are 490 bats in all. Any 7 caves in a r
zhannawk [14.2K]

Answer:

12

Step-by-step explanation:

The first cave has 7 times more bats than the last cave.  So if the 45th cave has b bats, then the first cave has 7b bats.

There are 77 bats in every row of 7 caves.  So if there are 7b bats in the first cave, then there are 77−7b bats in caves 2 through 7.

Since there are also 77 bats in caves 2 through 8, that means cave #8 must have 7b bats.  Repeating this logic:

#1 = 7b

#2-#7 = 77−7b

#8 = 7b

#9-#14 = 77−7b

#15 = 7b

#16-21 = 77−7b

#22 = 7b

#23-28 = 77−7b

#29 = 7b

So the first 29 caves have 5(7b) + 4(77−7b) = 308 + 7b bats.

Now we do the same thing from the other end.  If cave #45 has b bats, then caves #39-#44 have 77−b bats.  And since caves #38-44 have 77 bats, then cave #38 has b bats.  Therefore:

#45 = b

#39-44 = 77−b

#38 = b

#32-37 = 77−b

#31 = b

So caves 31 through 45 have 3b + 2(77−b) = 154 + b bats.

Adding that to the first 29 caves, plus x number of bats in cave #30:

308 + 7b + x + 154 + b = 462 + 8b + x

We know this equals 490.

490 = 462 + 8b + x

28 = 8b + x

x is a maximum when b is a minimum, which is b = 2.

28 = 8(2) + x

x = 12

There are at most 12 bats in the 30th cave.

8 0
3 years ago
Where is 1 2/3 on the number line?
frez [133]

Answer:a little over one and a half

Step-by-step explanation:

4 0
3 years ago
Who can help me with this number 5 I need help with
Ann [662]

Answer:

A.Y

B.X

C.They become opposite

Step-by-step explanation: A. When you reflect the x - axis you don't change the y - axis  B: Same as A C: You multiply them both by -1 basicly  


6 0
3 years ago
Jaymie wants to construct congruent angles with a compass and straightedge, while Annie wants to construct congruent segments wi
SashulF [63]

Jaymie will measure the segment and then place the point just across from the line's beginning point to create a congruent segment that shows the similarity between them.

<h3>What are the conditions of the congruent triangle?</h3>

Triangles that are equivalent in terms of size and form are known as a congruent triangle.

Segments will be built using the straightedge, and measurements will be taken using the compass. They will pick a starting point and draw a line using the straightedge, then use the compass to finish the job.

To make the congruent segment, Jaymie will measure the segment and then position the point that is opposite from the line's starting point.

Jaymie, on the other hand, will have to work a bit harder with the compass since she will need to draw a semi-circle in the original angle and transfer this measurement to the new line in order to create congruent angles.

To learn more about the congruent triangle refer;

brainly.com/question/12413243

#SPJ1

6 0
2 years ago
PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!
Nady [450]

Answer:  b) -0.625

<u>Step-by-step explanation:</u>

The formula for the z-score is:

z=\dfrac{x-\mu}{\sigma}\\\\\bullet z \text{ is the z-score}\\\bullet x \text{ is the value}\\\bullet \mu \text{ is the mean}\\\bullet \sigma \text{ is the standard deviation}\\\\z=\dfrac{6-8}{3.2}\\\\\\.\ =\dfrac{-2}{3.2}\\\\\\.\ =\large\boxed{-.0625}

6 0
3 years ago
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