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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

Read more about perimeter at:

brainly.com/question/24571594

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6 0

2 years ago

At a small private college 9 / 20 of the students are female if there are 2160 female students how many male students

drek231 [11]

Answer:

4800

Step-by-step explanation:

x is the number of total students

x * 9/20 = number of female students

x * 9/20 = 2160

Multiply each side by 20/9

x * 9/20 * 20/9 = 2160 * 20/9

x =4800

8 0

3 years ago

Tyler went to the supermarket to buy food for a food pantry. He has $36, and can carry up to 20 pounds of food in his backpack.

sattari [20]

Answer:

Solutions: (2,10), (4,5)

Not solutions: (1,12), (6,10), (12,8), (18,6)

Step-by-step explanation:

Let x be the number of packages of pasta and y be the number of jars of pasta sauce. If pasta costs $1 for a 1-pound package, then x packages of pasta cost $x and weigh x pounds. If pasta sauce costs $3 for a 1.5 pound jar, then y jars cost $3y and weigh 1.5y pounds.

1. Tyler has $36, then

$x+3y\le 36.$