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3 years ago

I will give 30 points to whoever answers this correctly and within 5-10 mins.

Mathematics

1 answer:

natali 33 [55]3 years ago

8 0

Answer:

1)The dimensions you are solving for

length of the rectangular room

width of the rectangular room

2)Now let the length be L and the width be w then

the perimeter is 2L+2W

2L+ 2W = 24------------------------------(1)

Also, "Twice the length decreased by three times the width is 4 feet" can be written as

2L - 3W = 4-------------------------------------(2)

Solving (1) and (2) by elimination method, by subtraction

2L+ 2W = 24

2L - 3W = 4

(-) (-) (-)

----------------------------

0L +5W = 20

-----------------------------

5W = 20

W = 4--------------------------------------------(3)

Now by substitution method,substituting (3) in(1)

2L+ 2(4) = 24

2L + 8 = 24

2L = 24 -8

2L = 16

L = 8

Substituting in the original equation and rechecking the perimeter

=2(8) + 2(4)

=16 + 8

= 24

Thus the found dimensions are correct

3)The length of the room is 8 feet and the width of the room is 4 feet.

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Is 7.29 a rational number?

ExtremeBDS [4]

Answer:

Yes

Step-by-step explanation:

A rational number is a number that can be expressed as a fraction. In this case, the fraction is being expressed by a decimal. So therefore 7.29 is a rational number.

Hope This Helps :)

8 0

4 years ago

Determine the area of the following shapes.<br> a. 144 in<br> b. 154 in<br> c. 164 in

ArbitrLikvidat [17]

A) 144 in

is your answer. good luck

6 0

2 years ago

The region bounded by y=(3x)^(1/2), y=3x-6, y=0

Ganezh [65]

Answer:

4.5 sq. units.

Step-by-step explanation:

The given curve is $y = (3x)^{\frac{1}{2} }$

⇒ $y^{2} = 3x$ ...... (1)

This curve passes through (0,0) point.

Now, the straight line is y = 3x - 6 ....... (2)

Now, solving (1) and (2) we get,

$y^{2} - y - 6 = 0$

⇒ (y - 3)(y + 2) = 0

⇒ y = 3 or y = -2

We will consider y = 3.

Now, y = 3x - 6 has zero at x = 2.

Therefor, the required are = $\int\limits^3_0 {(3x)^{\frac{1}{2} } } \, dx - \int\limits^3_2 {(3x - 6)} \, dx$

= $\sqrt{3} [{\frac{x^{\frac{3}{2} } }{\frac{3}{2} } }]^{3} _{0} - [\frac{3x^{2} }{2} - 6x ]^{3} _{2}$

= $[\frac{\sqrt{3}\times 2 \times 3^{\frac{3}{2} } }{3}] - [13.5 - 18 - 6 + 12]$

= 6 - 1.5

= 4.5 sq. units. (Answer)

7 0

3 years ago

5 of 5

dexar [7]

Answer:

Number of people that can be served 7 ladles = 100 people

Step-by-step explanation:

We are told that;

Initial number of ladles proposed per person = 5

Number of persons to be fed based on 5 ladles = 140 persons

Thus, amount of ladles based on that data is;

140 people x 5 ladle/1 person = 700 ladles full of soup

Now, since the cook decides to give 7 ladles full of soup to each person, the number of people that can be fed will now be;

700 ladles ÷ 7 ladles/person = 100 persons

6 0

3 years ago

If the angle NME = x+97, the angle EML = x+66, and the angle NML = 141, find the angle EML

defon

Answer:

∠ EML = 94°

Step-by-step explanation:

See the attached diagram.

The three angles ∠ NME, ∠ EML and ∠ NML together make 360°.

Now, ∠ NME = x + 97, ∠ EML = x + 66 and ∠ NML = 141°

Hence, (x + 97) + ( x + 66) + 141 = 360

⇒ 2x + 304 = 360

⇒ 2x = 56

⇒ x = 28

So, ∠ EML = x + 66 = 28 + 66 = 94° (Answer)

6 0

3 years ago