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VMariaS [17]
2 years ago
9

Can someone please answer this and show working out? thankyou.

Mathematics
1 answer:
irakobra [83]2 years ago
6 0

<h3>The answer is 15</h3>

Step-by-step explanation:

( - 3 \times ( - 2 -  - 5) \times  \frac{1}{2} ) \div ( - 3 \times 0.1)

Using PEDMAS solve the expression

First solve the terms in the bracket first

When two negative signs meet it becomes positive.

We have

( - 3 \times ( - 2 + 5) \times  \frac{1}{2} ) \div  - 0.3

=  ( - 3 \times 3 \times  \frac{1}{2} ) \div  - 0.3

= (  - 9 \times \frac{1}{2} ) \div  - 0.3

= -   \frac{ 9}{2}  \div  - 0.3

First convert the decimal to an improper fraction

That's

- 0.3 =  -  \frac{3}{10}

So we have

-  \frac{9}{2}  \div   - \frac{3}{10}

To solve change the division sign to multiplication sign and reverse the second fraction

That's

-  \frac{9}{2}  \times   - \frac{10}{3}

Multiply the fractions

\frac{90}{6}

Reduce the fraction by 6

We have the final answer as

<h2>15 </h2>

Hope this helps you

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Answer:

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7 0
3 years ago
Solve 5x^2 - 7x + 2 = 0 by completing the square.
Reika [66]

Answer:  The correct option is (c) \dfrac{49}{100}.

Step-by-step explanation:  We are given to solve the following quadratic equation by the method of completing the square:

5x^2-7x+2=0~~~~~~~~~~~~~~~~~~~(i)

Also, we are to find the constant added on both sides to form the perfect square trinomial.

We have from equation (i) that

5x^2-7x+2=0\\\\\Rightarrow x^2-\dfrac{7}{5}x+\dfrac{2}{5}=0\\\\\\\Rightarrow x^2-2\times x\times \dfrac{7}{10}+\left(\dfrac{7}{10}\right)^2+\dfrac{2}{5}=\left(\dfrac{7}{10}\right)^2\\\\\\\Rightarrow \left(x-\dfrac{7}{10}\right)^2=\dfrac{49}{100}-\dfrac{2}{5}\\\\\\\Rightarrow  \left(x-\dfrac{7}{10}\right)^2=\dfrac{49-40}{100}\\\\\\\Rightarrow  \left(x-\dfrac{7}{10}\right)^2=\dfrac{9}{100}\\\\\\\Rightarrow x-\dfrac{7}{10}=\pm\dfrac{3}{10}\\\\\\\Rightarrow x=\pm\dfrac{3}{10}+\dfrac{7}{10}.

So,

x=\dfrac{3}{10}+\dfrac{7}{10},~~~~~~~~x=-\dfrac{3}{10}+\dfrac{7}{10}\\\\\\\Rightarrow x=\dfrac{10}{10},~~~~~~~~\Rightarrow x=\dfrac{-3+7}{10}\\\\\\\Rightarrow x=1,~-\dfrac{2}{5}.

Thus, the required solution is x=1,~-\dfrac{2}{5}. and the value of the constant added is \dfrac{49}{100}.

Option (c) is correct.

3 0
3 years ago
ASAP Please help. Thank You!!! :)
liraira [26]
#25.
Convert the fractional numbers into decimals for easier comparison.
3 2/3 is approximately 3.66
-4 2/5 is approximately -4.4
We now have: 3, 3.66, -4.2, -4.4
In order: -4 2/5, -4.2, 3, 3 2/3

#26.
All positive numbers are greater than negative numbers.
When comparing two negative numbers, the one with the larger absolute value, will be less.
So (G) is correct

#27. 
25 = m + 6.3
25 - 6.3 = m + 6.3 - 6.3
m = 18.7

#28.
h = 3.2-1.6 = 1.6

#29.
x = 15.6 - 9.8 = 5.8

#30
p = 17 - 4.5 = 12.5





6 0
3 years ago
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