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SVEN [57.7K]
3 years ago
5

An aquarium tank holds 190 liters of water. How much is this in gallons? Use the following conversion: 1 gallon is 3.8 liters.

Mathematics
2 answers:
Bogdan [553]3 years ago
7 0
All you have to do is divide 190 liters by 3.8 liters. To get the calculated amount of gallons.
andrey2020 [161]3 years ago
7 0
All you have to do is divide 190 liters by 3.8 liters. To get the calculated amount of gallons.
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If ΔOPQ is dilated from point Q by a scale factor of 3, which of the following equations is true about segment R prime S prime?
Sergio [31]

Answer:

\overline {R'S'}  = 3 {\overline {RS} }

Step-by-step explanation:

The scale factor of dilation of triangle ΔOPQ, S.F. = 3

The center of dilation = Point <em>Q</em>

Therefore;

The length of the segment, {\overline {S'Q'} } = 3 × The length of the segment, {\overline {SQ} }

Similarly;

The length of the segment, {\overline {R'Q'} } = 3 × The length of the segment, {\overline {RQ} }

By Pythagoras theorem, we have;

{\overline {R'Q'} }^2 = {\overline {R'S'} }^2 + {\overline {S'Q'} }^2

Therefore;

{\overline {R'S'} }^2  = {\overline {R'Q'} }^2  - {\overline {S'Q'} }^2 = \left ({3 \times \overline {RQ} } \right) ^2  - \left (3 \times {\overline {SQ} } \right) ^2 = 9 \times \left (\overline {RQ} }  ^2  -  {\overline {SQ} } ^2 \right) = 9 \times  {\overline {RS} }^2

\therefore \sqrt{  {\overline {R'S'} }^2} =  \sqrt{ 9 \times  {\overline {RS} }^2}= 3 \times  {\overline {RS} }

\overline {R'S'}  = 3 \times  {\overline {RS} }.

6 0
3 years ago
Simplest form of ratio 24:36:60​
kumpel [21]

Answer:

2:3:5

Step-by-step explanation:

24:36:60

<u>1) Find the greatest common factor</u>

24 ⇒ 1, 2, 3, 4, 6, 8, 12, 24

36 ⇒ 1, 2, 3, 4, 6, 9, 12, 18, 36

60 ⇒ 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Therefore, the greatest common factor is 12.

<u>2) Divide all values by 12</u>

24 ÷ 12 = 2

36 ÷ 12 = 3

60 ÷ 12 = 5

Therefore, the simplified form of the ratio is 2:3:5.

I hope this helps!

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Solve for x in the following system (show work)<br><br> 3x+4y=8<br> y=3x+17
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3x + 4(3x+17) = 8
3x + 12x + 68 = 8
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2 years ago
How Important Is Regular Exercise? In a recent poll1 of 1000 American adults, the number saying that exercise is an important pa
Elza [17]

Answer:

Step-by-step explanation:

Given that in a recent poll 1 of 1000 American adults, the number saying that exercise is an important part of daily life was 753.

Sample proportion = \frac{753}{1000} =0.753

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As per central limit theorem, sample proportion will follow a normal distribution with mean = 0.753

Std error of proportion= \sqrt{0.753*0.247/1000} \\=0.01363

90% Z critical value = 1.645

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Answer:

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Step-by-step explanation:

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