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Butoxors [25]
2 years ago
15

The singing club keeps sheet music in files. Each file holds 12 sheets. Of all the club's music, 2/3 fit into 3 files. How many

sheets of music does the club have?
Mathematics
1 answer:
laila [671]2 years ago
6 0
1 file -> 12 sheets

Now for 3 files -> 3*12 = 36 sheets, it takes up 2/3 of the total

So the total number of sheets: 36 / (2/3) = 54
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In a scale drawing of an apartment 1 centimeter represents 2 3/4 feet. if the length of the kitchens is 4 1/2 cm on the scale dr
rusak2 [61]
Given: 1 cm = 2 3/4 ft ; kitchen length = 4 1/2 cm
2 3/4 = 11/4; 4 1/2= 9/2

11/4 x 9/2 = 99/8 =12 3/8

OR You could use decimals

2 3/4 = 2.75 ; 4 1/2 = 4.5
2.75 x 4.5 = 12.375
12.375 = 12 375/1000 or 12 3/8
5 0
2 years ago
Can you Solve this 2y+4y=6-3y?
Licemer1 [7]

Answer:

\large\boxed{y=\dfrac{2}{3}}

Step-by-step explanation:

2y+4y=6-3y\\\\6y=6-3y\qquad\text{add}\ 3y\ \text{to both sides}\\\\6y+3y=6-3y+3y\\\\9y=6\qquad\text{divide both sides by 9}\\\\\dfrac{9y}{9}=\dfrac{6}{9}\\\\y=\dfrac{6:3}{9:3}\\\\y=\dfrac{2}{3}

3 0
1 year ago
Which oh the following are among the five basic postulates of Euclidean geometry
igomit [66]

1. A straight line segment can be drawn joining any two points.

2. Any straight line segment can be extended indefinitely in a straight line.

3. Given any straight line segment, a circle can be drawn having the segment as radius and one endpoint as center.

4. All right angles are congruent.

5. If two lines are drawn which intersect a third in such a way that the sum of the inner angles on one side is less than two right angles, then the two lines inevitably must intersect each other on that side if extended far enough. This postulate is equivalent to what is known as the parallel postulate.

8 0
1 year ago
Worth 80 points!! It's alot for me to understand and i wanna get it right someone help?
Mandarinka [93]

Add all the new budget amounts:

510 + 254 + 295 + 51 + 0 + 100 + 100+ 0 + 100 = 1410


Her monthly total is 1410, which is less than her income of 1700

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She has $290 extra each month.

So she can divide that amount by 2 to put an equal amount in each blank category, or add what ever amount less than that into each one.


4 0
1 year ago
Find the surface area of the regular pyramid shown in the accompanying diagram. If necessary, express your answer in simplest ra
Oksana_A [137]

Answer:

The area of the pyramid is 360 unit²

Step-by-step explanation:

Given

Base Edge, a = 10

Height, h = 12

Required

Determine the surface area

The surface area of a regular pyramid is calculated as thus;

A = a^2 + 2a\sqrt{\frac{a^2}{4} + h^2}

Substitute values for a and h

A = 10^2 + 2 * 10 * \sqrt{\frac{10^2}{4} + 12^2}

Evaluate all squares

A = 100 + 2 * 10 * \sqrt{\frac{100}{4} + 144}

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Take positive square root of 169

A = 100 + 2 * 10 * 13

A = 100 + 260

A = 360

<em>Hence, the area of the pyramid is 360 unit²</em>

4 0
1 year ago
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