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vladimir2022 [97]
1 year ago
11

Write the number 1.8 in the form a/b, using integers, to show that it is a rational number.

Mathematics
2 answers:
julsineya [31]1 year ago
5 0
1.8 = 1 8/10 = 18/10 = 9/5
Pepsi [2]1 year ago
3 0

1. Note that the number 1.8 consists of two parts 1 and 0.8.

2. The decimal 0.8 can be written as the fraction \dfrac{8}{10}.

3. Add these two numbers:

1+\dfrac{8}{10}=\dfrac{10}{10}+\dfrac{8}{10}=\dfrac{10+8}{10}=\dfrac{18}{10}.

4. Since 18=2·3·3 and 10=2·5, the fraction \dfrac{18}{10} can be simplified to the rational number

\dfrac{18}{10}=\dfrac{2\cdot 3\cdot 3}{2\cdot 5}=\dfrac{3\cdot 3}{5}=\dfrac{9}{5}.

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Learning Task 4. Multiply each of the following. Use cancellation method
astra-53 [7]

Answer:

1) 2/7

2) 8/11

3) 3/2 or 1 1/2

4) 32/35

Step-by-step explanation:

1.5/7•14/35

= 5/7 × 14/35

Using Cancellation method

= 1/1 × 2/7

= 2/7

2.[4/5][10/11]

= 4/5 × 10/11

Using Cancellation method

= 4/1 × 2/11

= 8/11

3.8 3/4 multiplied by 2/9

= 8 3/4 × 2/9

= 27/4 × 2/9

= 3/2 × 1/1

= 3/2

= 1 1/2

4. [4/5]10/11][7/8]

40/50 ÷ 77/88

= 40/50 × 88/77

= 40/50 × 8/7

= 40/25 × 4/7

= 8/5 × 4/7

= 32/35

4 0
2 years ago
A soccer team ordered 12 jerseys and 12 pairs of shorts, for a total of $156. Later, they had to order 4 more jerseys and 6 more
serg [7]

the answer is b 8 dollars

6 0
2 years ago
Read 2 more answers
The solution to a quadric equation are x=2 and x=7. If k is a nonzero constant which of the following must be equal to the quadr
nikklg [1K]

Answer:

The quadratic equation form is x² - 9 x + 14  = 0            

Step-by-step explanation:

Given in the question as ,

The solution of quadratic equation are x = 2   and x = 7

The constant K is a non-zero number

Now , let the quadratic equation be , ax² + bx + c = 0

And  sum of roots = \frac{ - b}{a}

       product of roots = \frac{c}{a}

So, 2 + 7 = \frac{ - b}{a}

Or, 2 × 7 =  \frac{c}{a}

I.e \frac{ - b}{a}  = 9     ,     \frac{c}{a} = 14

Or,  b =  - 9 a           And c = 14 a

Put this value of b and c in standard form of quadratic equation

I.e ax² + bx + c = 0

Or, ax² - 9 ax + 14 a = 0

Or , a ( x² - 9 x + 14 ) = 0  

∴ a = 0   And  x² - 9 x + 14 = 0

Hence ,  The quadratic equation form is x² - 9 x + 14  = 0      Answer

7 0
1 year ago
Glenna wants to rent a car for a trip to key west for one weekshe calls two car rental companies to get prices. mr kotters renta
Korvikt [17]

Answer: Barbarino's rentals has a better deal.

She has to drive 887.5 miles to spend the same amount at either company.

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given:

<em>Mr.kotters rentals (A) </em>

  • <em>$99 PER WEEK </em>
  • <em>$0.11per mile over 100 miles </em>

<em>Barbarino's rentals (B) </em>

  • <em>$75 per week </em>
  • <em>$0.15 per mile over 150 miles </em>

For "A"

Cost = 0.11 (432-100) + 99 = $135.52

For "B"

Cost= 0.15 (432-150) +75 = $117.3

Barbarino's rentals has a better deal, since $117.3(B) < $135.52 (A)

To find how many miles would Glenna drive before she would be spending the same amount at either company:

A =B

0.11 (M-100) + 99 =0.15 (M-150) +75 = $117.3

Solving for M (miles)

0.11 M -11+99 = 0.15 M -22.5+75

-11 +99 +22.5 -75 =0.15M -0.11 M

35.5 = 0.04M

35.5/0.04 = M

887.5 =M

She has to drive 887.5 miles to spend the same amount at either company.

4 0
1 year ago
Sherry was in charge of distributing 25 food items
Valentin [98]

Answer:

? i dont think you finished the sentence

Step-by-step explanation:

6 0
1 year ago
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