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3 years ago

The ratio of a to b is 3 to 1, and the ratio of b to c is 1 to 5. What is the value of 2a+3b/ 4b+3c?

Mathematics

1 answer:

Nostrana [21]3 years ago

6 0

Answer:

Step-by-step explanation:

Expressing the ratios as fractions, that is

$\frac{a}{b}$ = $\frac{3}{1}$ ( cross- multiply )

a = 3b

$\frac{b}{c}$ = $\frac{1}{5}$ ( cross- multiply )

c = 5b

------------------------------------------

Given

$\frac{2a+3b}{4b+3c}$ , substitute values from above for a and c

= $\frac{2(3b)+3b}{4b+3(5b)}$

= $\frac{6b+3b}{4b+15b}$

= $\frac{9b}{19b}$ ← cancel b on numerator/ denominator

= $\frac{9}{19}$ → B

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3 years ago

Find the distance between the points (5, -5) and (-7,4).

abruzzese [7]

Answer:

<h2>The answer is 15 units</h2>

Step-by-step explanation:

The distance between two points can be found by using the formula

$d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\$

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(5, -5) and (-7,4)

The distance between them is

$d = \sqrt{ ({5 + 7})^{2} + ({ - 5 - 4})^{2} } \\ = \sqrt{ {12}^{2} + ( { - 9})^{2} } \\ = \sqrt{144 + 81} \\ = \sqrt{225} \\ = 15 \: \: \: \: \: \:$

We have the final answer as

<h3>15 units</h3>

Hope this helps you

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3 years ago

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Step-by-step explanation:

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3 years ago

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Answer:

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2 years ago

Read 2 more answers

PLEASE SOLVE AND CHECK. SHOW COMPLETE SOLUTION

Alex17521 [72]

Solution:

$\sqrt{4x + 13} = x + 2$

First square both sides.

$= > ( \sqrt{4x + 13} ) ^{2} = (x + 2) ^{2}$

Now, square root and square gets cancel out in the LHS. And in the RHS, apply the identity: (a + b)² = a² + 2ab + b².

$= > 4x + 13 = {(x)}^{2} + 2 \times x \times 2 + (2) ^{2} \\ = > 4x + 13 = {x}^{2} + 4x + 4$

Now, transpose 4x and 4 to LHS.

$= > 4x - 4x + 13 - 4 = {x}^{2} \\$

Now, do the addition and subtraction.

$= > {x}^{2} = 9 \\ = > x = \sqrt{9} \\ = > x = ±3$

Answer:

x = ± 3

Hope you could understand.

If you have any query, feel free to ask.

3 0

2 years ago