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aliina [53]
3 years ago
14

Eve split 42 marbles between herself and 5 friends. Her mom then gave her 2 more packs of marbles with 4 in each. How many does

she now have?
Mathematics
1 answer:
NeTakaya3 years ago
8 0

Answer:

$15

Step-by-step explanation:

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a sum of money is to be distributed among A B C D in the proportion of 5:2:4:3 if C gets Rs 1000 more than D what is share of B
Nat2105 [25]

Answer:

Share \: of\: B =Rs.\: 2000

Step-by-step explanation:

Money proportion of A, B, C and D are 5:2:4:3.

So, let the money shares received by A, B, C and D be 5x, 2x, 4x and 3x rupees respectively.

It is given that:

C gets ₹1000 more than D

\implies Share \: of\: C = Share \: D +1000

\implies 4x  = 3x +1000

\implies 4x  - 3x =1000

\implies x=1000

\implies Share \: of\: B = 2x

\implies Share \: of\: B = 2(1000)

\implies Share \: of\: B =Rs.\: 2000

7 0
2 years ago
A regular hexagon is circumscribed about a circle with a radius of 6. Find the area of the shaded region shown. Give the exact a
Alecsey [184]

Answer:

19.58 unit²

Step-by-step explanation:

To find the area of the shaded region, we use the formula:

A_{shaded}=A_{circle} - A_{hexagon}\\\\

As we know that,

A_{circle} = \pi r^2 = \pi 6^2

           =36πunit²

   

Next is to split up the hexagon into 6 regular triangles.

A_{hexagon} = 6. A_{triangle}

               =6 x \frac{1}{2} bh

the base is equal to the radius i.e 6 as the triangles are regular.The height can be represented by taking one of the triangles and drawing a line down the middle.

So, the newly formed triangle is a 30°-60°90° right triangle.

(see figure 1 in attachment)

Here, a= 6/2=> 3

h= a√3 => 3√3

Substituting the required values in the formula of area of hexagon, we get

A_{hexagon}= 6.\frac{1}{2}.6.3\sqrt{3} => 54√3unit²

A_{shaded}=A_{circle} - A_{hexagon}\\\\

           =36π-54√3

            = 19.58 unit²  

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3 years ago
The ratio of flour to sugar in a recipe is 3 cups to 2 cups. If this amount makes 3 dozen
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Answer:

10 cups

Step-by-step explanation:

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Find the sum -6/3 - (-7/15)
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-1 \frac{8}{15}

Step-by-step explanation:

That's the answer I think

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