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Sophie [7]
3 years ago
14

Share £747 in the ratio 2:7 between Tom and Ben. Tom will get £ Ben will get £

Mathematics
1 answer:
kari74 [83]3 years ago
5 0

<em>tom \: will \: get \:£166  \\ ben \: will \: get   \: £581\\  solution \\ let \: the \: ratios \: be \: 2x \: and \: 7x \\ 2x + 7x = 747 \\ or \: 9x = 747 \\ or \: x =  \frac{747}{9}  \\ x = £83 \\ replacing \: value \\ 2x \\  = 2 \times 83 \\  = 166 \\ 7x \\  = 7 \times 83 \\  = 581 \\ hope \: it \: helps</em>

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4 years ago
Convert 3:4 to percentage​
olga2289 [7]

Answer:

75\%

Step-by-step explanation:

\frac{3}{4}  \times 100\%

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So, the answer is 75%.

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Read 2 more answers
Find all possible values of each expression. Suppose 3
Tomtit [17]

The inequality that describes the possible values of the expression is:

0 < \frac{b}{3a} - \frac{a}{3b} < \frac{9}{60}

<h3>What is the lower bound of values of the expression?</h3>

The expression is given by:

\frac{b}{3a} - \frac{a}{3b}

To find the lower bound, we try to see when the expression is negative, hence:

\frac{b}{3a} - \frac{a}{3b} < 0

\frac{b}{3a} < \frac{a}{3b}

Applying cross multiplication and simplifying the 3's, we have that:

b^2 < a^2

From the bounds given, this expression will never be true, at most they can be equal, when:

a = b = 4.

Hence the lower bound of values of the expression is of 0.

<h3>What is the upper bound of values of the expression?</h3>

The expression is a subtraction, hence we want to maximize the first term and minimize the second.

Considering that the first term is direct proportional to b and inverse to a, and the second vice versa, we want to:

  • Maximize b, hence b = 5.
  • Minimize a, hence a = 4.

Then:

\frac{b}{3a} - \frac{a}{3b} = \frac{5}{12} - \frac{4}{15} = \frac{25 - 16}{60} = \frac{9}{60}

Hence the bounds are:

0 < \frac{b}{3a} - \frac{a}{3b} < \frac{9}{60}

More can be learned about values of expressions at brainly.com/question/625174

#SPJ1

4 0
2 years ago
Find tan of 45 degrees
Arturiano [62]

Answer:

tan(45°) = 1

Step-by-step explanation:

We know that sin (45°) = √2/2, and cos(45°) = √2/2.

Given that tan(x) = sen(x) / cos(x), we get:

tan(45°) = (√2/2) / (√2/2) = 1

Therefore, tan(45°) = 1

Attached you will find the important angles summary

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3 years ago
What equation is a proportion?
lisabon 2012 [21]

Answer:

c. 5/8= 20/32

Step-by-step explanation:

because 5*4=20 and 8*4=32

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3 years ago
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