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prisoha [69]
4 years ago
9

7. Fin the missing numbers for this rate table. SHOW YOUR WORK

Mathematics
1 answer:
lana [24]4 years ago
8 0

Answer:

Brownies

18

54

270

Cooldies

16

32

96

384

Step-by-step explanation:

Brownies

simply multiply the 18 by 3 we get 54 and if we multiply 54 by 5 we get 270.

we multiply it by 5 because in series it skip 1 number to multiply next.

Cooldies

first we multiply 16 by 2 we get 32.

next we multiply 32 by 3 we get 96.

and next we multiply 96 by 4 we get 384.

Simply increment in multiplication.

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The length of a rectangle is 6 more than twice the width. if the area is 40 cm^2, find the length and breadth of the rectangle
ra1l [238]

Answer: 3.217 & 12.434

Step-by-step explanation:

If we use <em>w</em> to represent the width, the length will be 6 more than 2 times w.

Hence, the length is 2w+6.

The area of a rectangle would be its length times its width, so let's make an equation to represent it's area.

A=w(2w+6)

We can also substitute 40 in for A as it's given in the question.

40 = w(2w+6)

Distributing <em>w</em> by multiplying it by both terms in the parentheses, we get

40 = 2w^2+6w

We can make the equation simpler by dividing both sides by 2.

20 = w^2+3w

Subtracting both sides by 20 will make the left-hand side 0.

0=w^2+3w-20

Now that we have put this <em>quadratic equation</em> into standard form (ax²+bx+c), we can find its solutions using the quadratic formula.

For reference, the quadratic formula is

x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

In this case, a is 1, b is 3, and c is -20.

Substituting, we get

w=\frac{-3\pm\sqrt{3^2-4(1)(-20)}}{2(1)}

w= \frac{-3\pm\sqrt{9+80}}{2}

w=\frac{-3+\sqrt{89}}{2}\hspace{0.1cm}or\hspace{0.1cm}\frac{-3-\sqrt{89}}{2}

Since the second solution results in a negative number, it cannot be the length of w.

w=\frac{-3+\sqrt{89}}{2}\approx3.217

The width/breadth of the rectangle is 3.217 cm.

To calculate the length, let's substitute the width into the expression for the length:

l=2(3.217)+6

l=12.434

The length of this rectangle is 12.434 cm.

6 0
2 years ago
-3(5x-10)=[?]x + [ ]
Setler [38]

Answer:

-15x + 30

Step-by-step explanation:

-3(5x -10)

-15x + 30

7 0
2 years ago
Divide 6 feet 6 inches by 5
tigry1 [53]
6 ft 6 in....
1 ft = 12 inches, so 6 ft = (12 * 6) = 72 inches...+ the other 6 inches = 78 inches

78 / 5 = 15.6 inches


5 0
3 years ago
A right rectangular prism has a volume of 6x3 - 3x2 - 45x.
USPshnik [31]

Answer:

Step-by-step explanation:

6x^3 - 3x^2 - 45x = 3x(2x^2-x-15) = 3x((2x+5)(x-3)

8 0
3 years ago
I'm gonna cry I don't get this​
snow_tiger [21]

Answer:

d=14

Step-by-step explanation:

Divide both sides by the numeric factor on the left side, then solve.

so the answer is d=14

6 0
2 years ago
Read 2 more answers
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