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Svetlanka [38]
2 years ago
8

Work out 7/9× 5 2/5

Mathematics
1 answer:
Natalija [7]2 years ago
8 0

Answer:

4 1/5

Step-by-step explanation:

1. \frac{7}{9} * 5\frac{2}{5}  = \frac{7}{9} * \frac{27}{5}

2. \frac{7}{9} * \frac{27}{5} = \frac{7}{1}   * \frac{3}{5}

3. 7 * \frac{3}{5} = \frac{21}{5}

4. \frac{21}{5} = 4\frac{1}{5}

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What is the domain (in interval notation) of the following functions?
alexgriva [62]
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3.\\f(x)=\frac{\sqrt{x}}{x^2-5x}\\\\D:x\geq0\ \wedge\ x^2-5x\neq0\to x\geq0\ \wedge\ x(x-5)\neq0\\\\\to x\geq0\ \wedge\ x\neq0\ \wedge\ x\neq5\to x\in\mathbb{R^+}\ \backslash\ \{5\}\\\\4.\\g(x)=\frac{\sqrt{x}+5}{x^2-x-20}\\\\D:x\geq0\ \wedge\ x^2-x-20\neq0\to x\geq0\ \wedge\ (x+4)(x-5)\neq0\\\\\to x\geq0\ \wedge\ x\neq-4\ \wedge\ x\neq5\to x\in\left

5.\\h(x)=\frac{3}{x^2+1}\\\\D:x^2+1\neq0\to x^2\neq-1\to x\in\mathbb{R}\\\\6.\\f(x)=\frac{\sqrt{x-2}}{x+1}\\\\D:x-2\geq0\ \wedge\ x+1\neq0\to x\geq2\ \wedge\ x\neq-1\to x\in\left

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4 0
3 years ago
A 3 inch radius circle is drawn inside a 7 inch radius circle. If you throw a dart at these circles, what is the probability you
lorasvet [3.4K]

Answer:

Step-by-step explanation:

The first step is to determine the areas of the inner and the bigger circles.

The formula for determining the area of a circle is expressed as

Area = πr²

Where

r represents the radius of the circle.

π is a constant whose value is 3.14

Considering the inner circle,

diameter = 148.4 cm

Radius = 3 inches

Area = 3.14 × 3² = 28.26 inches²

Considering the bigger circle,

Radius = 7 inches

Area = 3.14 × 7² = 153.86 inches²

The area between the bigger and inner circles is

153.86 - 28.26 = 125.6 inches²

Probability = number of favourable outcome/number of total outcome.

the probability you land inside the bigger circle but outside smaller circle is

125.6/153.86 = 0.82

3 0
3 years ago
The price of 7 cell phones, 9 TV sets and 12 air-conditioners is
mezya [45]

here, 7 cellphone,9 Tv, 12airconditioners = 8723

5 cellphone,7 Tv, 12airconditioners = 6523

or, 7,9,12=8723

-5,7,9=6523

______________

2,2,3=2191

then,

to make 4 cellphone , 4 tv set , 6 air conditioners add twice the answer ,

2,2,3=2191

+2,2,3=2191

____________

4,4,6=4382

hence,

the price of 4 cellphone , 4 tv set and 6 air conditioners is 4382 #

solved by

<h3> pratik</h3>

6 0
3 years ago
Help plzzzz guys, I'll mark you as a brainiest
umka2103 [35]
Diagonally

the top of the closet
8 0
3 years ago
Boof<br>$543.51 is subtotal.
antiseptic1488 [7]

Answer:

The total of the sales price and sales tax is  $ 588.35 .

Step-by-step explanation:

As given

$543.51 be the subtotal .

8.25% is the sales tax .

8.25% is written in the decimal form.

= \frac{8.25}{100}

= 0.0825

Sales tax price = 0.0825 × 543.51

                         = $ 44.84  (Approx)

Total of sales price with sales tax = Sale price + Sales tax price

Putting the values in the above

                                                       = $543.51 + $44.84

                                                       = $ 588.35

Therefore the total of the sales price and sales tax is  $ 588.35 .

6 0
3 years ago
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