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Lostsunrise [7]
3 years ago
10

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:

B

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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Marina CMI [18]

Answer:

it the first choice you ate three chocolate independently

6 0
2 years ago
5. 3x + 5y + 5z =1<br> x - 2y = 5<br> 2x + 4y = 11
lilavasa [31]

Answer:

see explanation

Step-by-step explanation:

Given the 3 equations

3x + 5y + 5z = 1 → (1)

x - 2y = 5 → (2)

2x + 4y = 11 → (3)

Use (2) and (3) to solve for x and y

Multiply (2) by 2

2x - 4y = 10 → (4)

Add (3) and (4) term by term

4x = 21 ( divide both sides by 4 )

x = \frac{21}{4\\}

Substitute this value of x into (3)

2 × \frac{21}{4\\} + 4y = 11

\frac{21}{2\\} + 4y = 11 ( subtract \frac{21}{2\\} from both sides )

4y = \frac{1}{2} ( divide both sides by 4 )

y = \frac{1}{8\\}

Substitute the values of x and y into (1) and solve for z

3 × \frac{21}{4\\} + 5 × \frac{1}{8\\} + 5z = 1

\frac{63}{4} + \frac{5}{8} + 5z = 1

\frac{131}{8} + 5z = 1 ( subtract \frac{131}{8} from both sides )

5z = - \frac{123}{8} ( divide both sides by 5 )

z = - \frac{123}{40}

Solution is

x = \frac{21}{4\\}, y = \frac{1}{8\\}, z = - \frac{123}{40}

3 0
2 years ago
Concerns about climate change and CO2 reduction have initiated the commercial production of blends of biodiesel (e.g., from rene
Nat2105 [25]
3 is the correct answer
5 0
3 years ago
0.44 × $26.13<br> plzzzzzzzz helpp
Jet001 [13]

Answer:

11.4972 USD

Step-by-step explanation:

Approx. 11.50

6 0
3 years ago
Can someone please help me I'm confused as to what I'm supposed to do.
kobusy [5.1K]
I hope this helps you


(fog)(5)=f (g (5))=?



x= 5 g (5)=-4.5+3=-20+3=-17




f (g(5))=f (-17)=-2. (-17)-7




f (-17)=34-7




f (-17)=27
4 0
2 years ago
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