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Dennis_Churaev [7]
2 years ago
12

Please ignore my work and show step by step for number 9 please and thank you

Mathematics
1 answer:
Butoxors [25]2 years ago
5 0

( x + 3)( x  - 7) + (x + 8)(x + 3) = (x + 3)(x - 7 + x + 8) \\  = (x + 3)(2x + 1)

(3) is the answer?

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Jerry has a miniature model of a boat. He knows that the boat is 3 3/4 inches wide and 5 1/2 inches long. What is the actual len
FromTheMoon [43]

Width of the miniature model = 3\frac{3}{4} inches

Length of the miniature model = 5\frac{1}{2} inches

The actual width of the boat = 15 feet

Let us find the actual length of the boat.

Write it in a proportion form.

width of model : length of model : : width of actual : length of actual

$\Rightarrow 3\frac{3}{4}:5\frac{1}{2}::15:x

$\Rightarrow\frac{15}{4}:\frac{11}{2}::15:x

$\Rightarrow\frac{\frac{15}{4}}{\frac{11}{2}} =\frac{15}{x}

Do cross multiplication.

$\Rightarrow{\frac{15}{4}x =15\times\frac{11}{2}

$\Rightarrow{\frac{15}{4}x =\frac{165}{2}

$\Rightarrow x =\frac{165}{2}\times{\frac{4}{15}

⇒ x = 22

Hence the actual length of the boat is 22 feet.

6 0
3 years ago
The sample space listing the eight simple events that are possible when a couple has three children is {bbb, bbg, bgb, bgg, gbb,
NNADVOKAT [17]

Answer:

bbbb,

bbbg, bbgb, bgbb, gbbb,

bbgg, bgbg, bggb, gbgb, gbbg, ggbb,

bggg, gbgg, ggbg, gggb,

gggg

Step-by-step explanation:

3 children: bbb, bbg, bgb, gbb, bgg, gbg, ggb, ggg

4 children: bbbb, bbbg, bbgb, bgbb, gbbb, bbgg, bgbg, bggb, gbgb, ggbb, bggg, gbgg, ggbg, gggb, gggg

You need to take a methodological approach;

The 2 easiest are the possibility of all boys and all girls;

Then consider 3 boys and 1 girl:

bbbg, bbgb, bgbb, gbbb

Then 2 boys and 2 girls:

bbgg, bgbg, bggb, gbgb, gbbg, ggbb

Lastly, 1 boy and 3 girls:

bggg, gbgg, ggbg, gggb

In total, there are 16 possibilities

P.S. interesting to note is that the number of possibilities here follows the pattern of Pascal's triangle:

       1

     1   1

   1  2  1

 1  3  3  1

1  4  6  4  1

The last row is relevant here;

There is 1 possibility where there are 4 boys;

There are 4 possibilities (in terms of the order of birth) where there are 3 boys and 1 girl;

There are 6 possibilities where there are 2 boys and 2 girls

There are 4 possibilities where there is 1 boy and 3 girls;

There is 1 possibility where there are 4 girls;

The pattern ∴ is 1 4 6 4 1, as the 5th row of Pascal's triangle reads;

If your talking about 3 children, it would match the 4th row of Pascal's triangle;

So, 1 possibility of 3 boys;

3 possibilities of 2 boys and 1 girl;

3 possibilities of 1 boy and 2 girls;

And 1 possibility of 3 girls;

If your talking about 10 children, it would match the 11th row of Pascal's triangle.

(Maths can be so cool XD)

7 0
3 years ago
There are 7 boxes stacked on the floor in the math department supply closet. Each box has a height of 10 inches or 8 inches. The
Orlov [11]

Answer:

5 of the 7 boxes are 8 inches in height

Step-by-step explanation:

Mathematically;

1 ft = 12 inches

So, 5 ft will measure 5 * 12 = 60 inches

So from what we have ,

We want to combine 8 and 10 inches to give 60 inches total

Let the number of 10 inches be x and the number of 8 inches be y

Mathematically;

x + y = 7 •••••(i)

10x + 8y = 60 ••••(ii)

From equation i, x = 7-y

Put this in equation ii

10(7-y) + 8y = 60

70-10y + 8y = 60

70-60 = 10y-8y

2y = 10

y = 10/2

y = 5

5 0
3 years ago
Find each missing measure <br> Help please
skad [1K]
Angle m and n are 76 P Q and R are 60
7 0
3 years ago
[5x+10y+15z=60<br> [2x+4y+6z=60<br> [x+2y+3z=60
Alla [95]

9514 1404 393

Answer:

  no solution

Step-by-step explanation:

The equations are inconsistent. The set of equations reduces to ...

  x + 2y + 3z = 12

  x + 2y + 3z = 30

  x + 2y + 3z = 60

No values of x, y, and z can satisfy all three equations. There is no solution.

4 0
2 years ago
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