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2 years ago

5

Two glass containers are shown. Both are right rectangular prisms. Container 1 is filled with water and Container 2 is empty.

1 answer:

dmitriy555 [2]2 years ago

6 0

9514 1404 393

Answer:

18 in

Step-by-step explanation:

The volume of each container is the product of its dimensions:

V = LWH

We can let h represent the unknown height of Container 2. The volumes are equal when ...

32·18·12 = 24·16·h

(32·12·18)/(16·24) = h =18 . . . . . divide by the coefficient of h, simplify

The missing height of Container 2 is 18 inches.

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5x + 4y = 11<br> 2x + 6y = -7

olga55 [171]

$\left\{\begin{array}{ccc}5x+4y=11&|\cdot2\\2x+6y=-7&|\cdot(-5)\end{array}\right\\\underline{+\left\{\begin{array}{ccc}10x+8y=22\\-10x-30y=35\end{array}\right}\ \ \ \ |add\ both\ sides\ of\ the\ equations\\.\ \ \ \ \ \ \ \ \ \ \ -22y=57\ \ \ \ |:(-22)\\.\ \ \ \ \ \ \ \ \ \ \ y=-\dfrac{57}{22}\\\\substitute\ the\ value\ of\ y\ to\ the\ first\ equation\\\\5x+4\left(-\dfrac{57}{22}\right)=11\\\\5x-2\cdot\dfrac{57}{11}=11\ \ \ \ |\cdot11\\\\55x-114=121\ \ \ \ |+114\\\\55x=135\ \ \ \ |:55$

$x=\dfrac{135}{55}\\\\x=\dfrac{27}{11}\\\\Answer:\ x=\dfrac{27}{11}\ and\ y=-\dfrac{57}{22}\to\left(\dfrac{27}{11},\ -\dfrac{57}{22}\right)$

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2 years ago

A rectangular pool is 18 meters wide and 24 meters long. If you swim diagonally across the pool, how many meters would you be sw

Zanzabum

Using the Pythagorean theorem, the diagonal measure is found as
√((18 m)² +(24 m)²) = √(324 +576) m = √900 m
= 30 m

You would be swimming 30 meters.

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2 years ago

Maths <br><br> I’ll give brainiest:))

Jlenok [28]

Answer:

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Step-by-step explanation:

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2 years ago

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Graph each equation using the slope and the y intercept

Ilya [14]

Answer:

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Step-by-step explanation:

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2 years ago

Vincent and Aidan buy the same number of pens. Vincent buys packs of 6 pens, and Aidan buys boxes of 20 pens. What is the least

Shtirlitz [24]

The least number of pens each boy can have brought is 60

<h3>How to determine the least number of pen?</h3>

We have:

Vincent = 6 packs

Aidan = 20 boxes

Factorize 6 and 20

6 = 1 * 2 * 3

20 = 1 * 2 * 2 * 5

Multiply all factors

LCM = 1 * 2 * 2 * 3 * 5

Evaluate the product

LCM = 60

Hence, the least number of pens each boy can have brought is 60

Read more about LCM at:

brainly.com/question/233244

#SPJ1

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1 year ago