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Burka [1]
3 years ago
15

A Blue Jay wanted to store some acorns for the winter. If she hides 18 acorns per tree, she will be left with four acorns; if sh

e hides 20 acorns per tree, there will be extra space for an additional four acorns (the number of trees is always the same). How many acorns is the Blue Jay going to store for the winter, and in how many trees?
Mathematics
1 answer:
ch4aika [34]3 years ago
7 0

Remark

This is a nice problem especially if you like blue jays! They actually do things like this.

Equations.

Let the number of trees = T

Let the number of acorns = A

20*T = A + 4 Read that carefully. There are 4 acorns left over. The number stored = A. The left over ones make 4 more than were stored.

Second equation
18*T = A - 4 Here we have 4 less than could be stored to full capacity.

Solution

20T = A + 4

<u>18T = A - 4 </u> Subtract

2T = 8 Divide by 2

T = 8/2; T = 4 Answer

20T = A + 4

20*4 = A

80 - 4 = A

A = 76 Answer

Answers

The number of Trees = T

The number of acorns = 76

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Answer:

74°

Step-by-step explanation:

A rhombus is a quadrilateral that has its opposite sides to be parallel to be each other. This means that the two interior opposite angles are equal to each other. Since the sum of the angles of a quadrilateral is 360°.

According to the triangle, since one of the acute angle is 32°, then the acute angle opposite to this angle will also be 32°.

The remaining angle of the rhombus will be calculated as thus;

= 360° - (32°+32°)

= 360° - 64°

= 296°

This means the other two opposite angles will have a sum total of 296°. Individual obtuse angle will be 296°/2 i.e 148°

This means that each obtuse angles of the rhombus will be 148°.

To get the unknown angle m°, we can see that the diagonal cuts the two obtuse angles equally, hence one of the obtuse angles will also be divided equally to get the unknown angle m°.

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Hence the angle measure if m(1) is 74°

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Step-by-step explanation:

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In rectangle ABCD, point E lies half way between sides AB and CD and halfway between sides AD and BC. If AB=3 and BC=2, what is
Alex777 [14]

Answer:

<em>The area of the shaded region is 3.</em>

Step-by-step explanation:

Since point E lies halfway between AB and BC, the area of the shaded region (As) consists of two identical triangles with base equal to AB and height equal to half the measure of BC:

A_s=2 * A_t

Where At is the area of each triangle.

\displaystyle A_t=\frac{AB*BC/2}{2}

\displaystyle A_t=\frac{AB*BC}{4}

We know AB=3 and BC=2, thus:

\displaystyle A_t=\frac{3*2}{4}=\frac{6}{4}

Simplifying:

\displaystyle A_t=\frac{3}{2}

Finally:

\displaystyle A_s=2 * \frac{3}{2}

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2 years ago
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yawa3891 [41]

Answer:

The decimal form of \frac{1}{15} = 0.0666... = 0.0\overline{666}.

Step-by-step explanation:

We proceed to find the decimal form of \frac{1}{15}, whose description is found below:

1) Multiplying the numerator by 100 and dividing it by 15:

Partial result: 0.06, Remainder: 10

2) Multiplying the remainder by the 10 and dividing it by 15:

Partial result: 0.066, Remainder: 10

3) Multiplying the remainder by the 10 and dividing it by 15:

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Step-by-step explanation:

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