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lions [1.4K]
3 years ago
9

What is the ratio of a to b 9/17= 3a/ a+b 3/14 6/17 13/17 50/9

Mathematics
1 answer:
Anarel [89]3 years ago
5 0

Answer:

3/14

Step-by-step explanation:

We want to find the ratio of a to b, or a/b

9/17 = 3a/ (a+b)

Multiply each side by 17

17*9/17 =17* 3a/ (a+b)

9 = 51 a/ (a+b)

Multiply each side by (a+b)

9 (a+b) = 51a

Distribute  the 9

9a +9b = 51a

Subtract 9a from each side

9a-9a +9b =51a-9a

9b = 42a

Divide each side by b

9b/b = 42a/b

9 = 42a/b

Divide each side by 42

9/42 = a/b

But we can simplify 9/42 because each is divisible by 3, so divide 9 and 42 by 3

3/14 = a/b

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Find the balance in an account with $7,000 principal earning 5% interest compounded quarterly
nadya68 [22]

Answer:

The balance is \$11,505.34  

Step-by-step explanation:

we know that    

The compound interest formula is equal to  

A=P(1+\frac{r}{n})^{nt}  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

t=10\ years\\ P=\$7,000\\ r=0.05\\n=4  

substitute in the formula above  

A=\$7,000(1+\frac{0.05}{4})^{4*10}=\$11,505.34  

3 0
3 years ago
Choose the property of addition that justifies the equation.
Studentka2010 [4]

Answer:

Associative

Step-by-step explanation:

Associative property is the one that says that when 3 or more numbers are summed, the grouping of such numbers has no effect on the result of the sum. It is:

(a + b) + c = a + (b + c) for every a, b and c real numbers.

6 0
3 years ago
50 points decreased by 26% is points.
lakkis [162]
50\times\frac{26}{100}\\\\=\frac{50\times26}{100}\\\\=\frac{1300}{100}\\\\=13\\\\50-13={\boxed{ \bf 37}}

50 points decreased by 26% is 37 points.

50\times\frac{26}{100}\\\\= 50 \times 0.26\\\\=13\\\\ 50-13={\boxed{ \bf 37}}

50 points decreased by 26% is 37 points.
3 0
3 years ago
Read 2 more answers
Which of the following situations describes a function? Remember you are looking for an independent variable and a dependent var
BlackZzzverrR [31]

The situation that is a function is: C. The weight of a package and the cost of postage.

<h3>What is a Function?</h3>

A function can be described as a relation whereby there can only be one exact possible output value (dependent variable) for every input value (independent variable) in the relation. This means, no input value has two different output values. However, two different input values can have the same output value.

In a function, the output value is dependent on the input value.

For example, the cost of postage (output) is dependent on the weight of a package (input).

Therefore, the situation that is a function is: C. The weight of a package and the cost of postage.

Learn more about function on:

brainly.com/question/15602982

#SPJ1

6 0
1 year ago
I need the word for this definition..... a number is the product of that number and any whole number
Oxana [17]
The answer to that definition is a multiple. A multiple is any number that is not zero.

Hope I helped!

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3 years ago
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