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3 years ago

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Mathematics

1 answer:

NARA [144]3 years ago

3 0

Answer:

The rearrangement can be 45, 987 , 310

Step-by-step explanation:

Here, we want to rearrange the number such that 9 is worth 10 times as what it is worth presently

The value of 9 presently is 90,000

So 10 times as worth will be 10 * 90,000 = 900,000

So we can have the new arrangement as;

45, 987, 310

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Which expression is equivalent to 15x^-3z^5/3x^7z^-5 please answer spr fast

Law Incorporation [45]

Answer:

$5x^{-10}z^{10$

Step-by-step explanation:

Given

$\frac{15x^{-3}z^5}{3x^7z^{-5}}$

Required

Evaluate

$\frac{15x^{-3}z^5}{3x^7z^{-5}}$

Start by dividing 15 by 3

$\frac{5x^{-3}z^5}{x^7z^{-5}}$

Apply the following law of indices on indices x and z

$\frac{a^m}{a^n} = a^{m-n$

So, the expression becomes:

$5x^{-3-7}z^{5-(-5)$

$5x^{-3-7}z^{5+5$

$5x^{-10}z^{10$

3 0

2 years ago

Read 2 more answers

A salesman keeps 20% of his sales as a commission. How much does he have to sell to earn $1,000? It is percent proportions by th

BARSIC [14]

If he wants to earn $1000, it means that $1000 must be 20% of his overall sales.

1000 = 20% * x
1000 = 20/100x
1000 = 0,2x / ÷ 0,2 (both sides)
x = 5000

Answer: A salesman must sell products for $5000 to earn $1000.

6 0

2 years ago

A 5 in by 7in photograph is surrounded by a frame of uniform width the area of the frame equals the area of the photograph find

alexira [117]

Let x be the width of the frame.
Area of the picture is 5*7 = 35 sq in

Area of the frame given as the same, frame = 35 sq in also

Therefore the total area (picture & frame) will be 70 sq in

A simple equation would be made and it will look like this: (7+2x) * (5+2x) = 70

Using the FOIL method
35 + 14x + 10x + 4x^2 = 70
4x^2 + 24x + 35 - 70 = 0; subtract 70 from both sides:
4x^2 + 24x - 35 = 0

unluckily this will not factor easily, so we should use the quadratic equation:
where: a = 4; b = 24; c = -35
 x = -b sqrt b^2 – 4*a*c divided by 2 * a

x = -24 ± sqrt 24^2 -4*4*(-35) divided by 2*4

x = -24 ±sqrt 576 - -(560) divided by 8

x = -24 ± sqrt 576 + 560 divided by 8

x = -24 ± sqrt1136 divided by 8

x = -24 + 33.7046 divided by 8
x = 9.7046 divided by 8
x =1.213 inches is the answer

6 0

3 years ago

Answer only if you know and NOT because you want brainliest ( ill report you if you do )

Korvikt [17]

12x6.5x1.25=97.5 cubic centimeters answer B

3 0

2 years ago

4 Suppose you throw a dart at a circular target of radius 10 inches. Assuming that you hit the target and that the coordinates o

Lady bird [3.3K]

Answer:

0.04,0.25.0.52

Step-by-step explanation:

Given that you throw a dart at a circular target of radius 10 inches.

Assuming that you hit the target and that the coordinates of the outcomes are chosen at random,

probability that the dart falls

(a) within 2 inches of the center

Here favourable region has area of a circle with radius 2 inches and sample space has area of 10 inches

Prob = $\frac{\pi *2^2}{\pi *10^2} \\\\=\frac{1}{25}$

(b) within 2 inches of the rim.

For within two inches from the rim we have to select area of the ring i.e. area of big circle with 10 inches - area of smaller circle with 10-2 inches

Prob= $\frac{\pi * *8^2}{\pi*10^2} \\=0.64$

c) within I quadrant

area of I quadrant / area of circle=0.25

d) within I quadrant and within 2 inches of the rim

= I quadrant area + 2 inches ring area - common area

= $\frac{\pi*10^2/4 + pi*(10^2-8^2) - \pi(10^2-8^2)/4}{\pi*10^2} \\=\frac{25+36-9}{100} \\=0.52$

3 0

3 years ago