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Andreyy89
4 years ago
8

Can you help with Number 1?

Mathematics
1 answer:
Aleks04 [339]4 years ago
4 0

Answer:

500 in³

Step-by-step explanation:

6.9×8= 55.2

55.2÷2= 27.6

27.6×10= 276

So that part is the volume for the bottom part ⇅

Triangle:

8×8=64

64÷2= 32

32× 7=224

Add it up

276+ 224=500 yd³

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Step-by-step explanation:

2x = y-10

Rewrite as: 2x + 10 = y

Therefore:

2x+10 = y

2x +7 = 2y

Subtract the equations:

 2x + 10 = y

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          3 = -y

Therefore y = -3

Substiture y = -3 into the second equation:

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2x = -13

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Step-by-step explanation:

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What is the value of y in the sequence below?<br> 2,y,18, -54,162,
snow_lady [41]

First, let's check if the sequence is geometric or arithmetric.

If arithmetric, the sequence will have common difference.

<u>A</u><u>r</u><u>i</u><u>t</u><u>h</u><u>m</u><u>e</u><u>t</u><u>r</u><u>i</u><u>c</u>

\displaystyle \large{a_{n + 1} - a_n = d}

d stands for a common difference. Common Difference means that sequences must have same difference after subtracting.

<u>G</u><u>e</u><u>o</u><u>m</u><u>e</u><u>t</u><u>r</u><u>i</u><u>c</u>

\displaystyle \large{ \frac{a_{n + 1}}{a_n}  = r}

r stands for a common ratio.

To find the value of y, you can check the sequence. If we try subtracting the sequences, the differences are different. That means the sequences are not arithmetric. That only leaves the geometric sequence.

Let's check by dividing sequences.

We have:

  • 2,y,18,-54,162,...

Let's check by divide -54 by 18 and 162 by -54. We need to divide more than one so we can prove that the sequence is geometric.

\displaystyle \large{ \frac{ - 54}{18}  = - 3 } \\  \displaystyle \large{ \frac{ 162}{ - 54}  = - 3}

Hence, the sequence is geometric.

Because the common ratio is -3. Let these be the following:

\displaystyle \large{ a_{n + 1} = y } \\  \displaystyle \large{ a_n = 2 } \\  \displaystyle \large{ r =  - 3 }

From the:

\displaystyle \large{ \frac{a_{n + 1}}{a_n}  = r}

Substitute the values in.

\displaystyle \large{ \frac{y}{2}  =  - 3}

Multiply the whole equation by 2 to isolate y.

\displaystyle \large{ \frac{y}{2} \times 2  =  - 3 \times 2} \\  \displaystyle \large{ y =  - 6}

Therefore, the value of y is -6.

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3 years ago
The expression 9n + 3 represents the perimeter (in meters) of the triangle. Write an expression in the simplest form that repres
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Answer:

4n+2

Step-by-step explanation:

  1. add all sides =9n+3
  2. 3n+2+2n-1=9n+3
  3. add liketerms 5n+1=9n+3
  4. put liketerms together 9n-5n+3-1
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