If the ratio of blue shirts to white shirts is 5:3 If there were 21 white shirts how many blue shirts are there

A dog trainer has 104 ft of fencing that will be used to create a rectangular work area for dogs. If the trainer wants to enclos

vova2212 [387]

Answer:

36 ft by 16 ft

Step-by-step explanation:

To solve this problem, you need to find dimensions of a rectangle such that the perimeter is 104 ft and the area is 576 ft. The perimeter is twice the sum of length and width, so the sum of length and width is 52 ft.

The area is the product of length and width, so if w represents the width, we have ...

w(52 -w) = 576

w² -52w = -576 . . . . . eliminate parentheses, multiply by -1

w² -52w +26² = 26² -576 . . . . . . complete the square

(w -26)² = 676 -576 = 100

w = 26 ±√100 = {16, 36}

If the width is the short dimension, it is 16 feet. Then the length is 36 feet.

5 0

3 years ago

Which number sentences show how to solve the problem?

exis [7]

72 ÷ 6 = 12 and 12 × 36 = 432 and 72 × 36 = 2,592 and 2,592 ÷ 6 = 432

8 0

3 years ago

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En la siguiente sucesión numérica 8,7,11,10,14 los dos números siguientes son

Oxana [17]

<h3>Numerical sequences</h3>

To find the missing numbers in the sequence, we must identify the rule by which they change.

The <u>sequence starts at 8 and then decreases by 1,</u> therefore, the second term is 7. The third term increases by 4 units with respect to the second, going from 7 to 11, and the fourth decreases again by 1, now remaining at 10.

The fifth term increases again by 4 units, from 10 to 14. This already gives us a clear idea of the rule that the sequence follows.

<h3>Decrease 1, increase 4, decrease 1, increase 4,…</h3>

₊₄ ₊₄

⁻¹ ⁻¹ ⁻¹

<em>In this way, the sixth </em><em>element must decrease by 1</em><em>, that is 13 and the seventh must increase </em><em>by 4, that is 17</em><em>.</em>

8, 7, 11, 10, 14, 13, 17,…

The next numbers that the numerical sequence are 13 and 17, to complete. ✅

6 0

2 years ago

A high school student named David Merrell did a study of how music affects the ability of rats to run a maze. He trained 71 rats

Alona [7]

Step-by-step explanation:

Heavy Metal "music" impacts negatively the long term memory, if at least the ability to access it.

while harmonic music has no blocking effect or maybe even strengthens the long term memory and the ability to access it.

here 3 remarks.

first 2 scientifically from psychology : memory works mostly associative. that means brains do not store absolute information like a digital computer, but always in combination and association with other pieces of information. if there is nothing else to remember (like a more or less random pattern of sound effects for that the brain cannot find a rule or concept for), there are no associations with presented pieces of information, and the storage and access to it is much harder and restricted.

and - loud crashing and seemingly random noise triggers the panic mode in our brains. and panic is the mode favoring pure instinct and suppressing cognitive functions.

and finally, personally, it just confirms what I literally feel when listening to such music : it destroys at that moment any ability to keep a straight thought, prolonged exposure gives me the feeling that something gets broken inside my brain and thought processes.

I suspect that this is exactly the feeling that the fans of this kind of music are after (kind of like most drugs), but I am not surprised that there actually is something broken in the brain (again, as with drugs).

4 0

2 years ago

Five times the number of test tubes in a school’s chemistry lab exceeds three times the number of beakers it has by 660. The sum

GrogVix [38]

B= number of beakers which there are 450
t= number of test tubes
the answer is 1.46

8 0

3 years ago

Read 2 more answers