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frez [133]
3 years ago
8

3/7 =9/x solve the following proportions ( they are fractions) thanks!

Mathematics
1 answer:
tresset_1 [31]3 years ago
6 0
3/7 = 9/x
cross multiply because thats how u solve proportions
(3)(x) = (7)(9)
3x = 63
x = 63/3
x = 21

and if u will notice : 3/7 and 9/21 ....9/21 reduces to 3/7....so these are equivalent fractions...because proportions are nothing but equivalent fractions
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Solve and show your work for each question a). B). C).
Andreyy89

Answer:

Step-by-step explanation:

a) Here, the first term is .48 and the common ratio is 1/100 (since each new 48 is 1/100 th of the previous 48).                                   a

Use the formula s = sum of geometric series = -----------

                                                                                  1 - r

                                           0.48              48

which in this case is s = --------------- = ------------ = 48/99 = 16/33

                                          1 - 1/100        100 - 1

Check this result by finding 16/33 on a calculator.  Is the result equal to 0.484848484848.... ?  Yes

b) Here we have the bar over the 8 only.  0.48 with the bar over the 8 is equivalent to 0.4888888888 ...

                                                              0.08

or 0.4 + 0.0888888888 ...      or 0.4 + ------------

                                                                1 - 1/10

                                             

                                              0.08                       8

and this simplifies to 0.4 + ------------  =  0.4 + ---------

                                                9/10                      90

Evaluating this last result on a calculator results in 0.488888888 ...

c)  0.48 expressed as a fraction is  48/100 = 12/25

6 0
3 years ago
A group of 18 patrons each owe $15 at a restaurant. What is the total amount owed by all 18 customers?
Zina [86]

Answer:

$270

Step-by-step explanation:

18x15=$270

HOPE THAT HELPED:)

8 0
1 year ago
Which table represents a linear function?
kolezko [41]

Answer:

last one

Step-by-step explanation:

5 0
3 years ago
If, in 7 years, Susan will be 2 times as old as she was 3 years ago, what is Susan’s present age? PLEAZE EXPLAIN HOW AND DO IT W
belka [17]
Let Susan's present age be x

Now, after 7 years ( her age will become 7 +x then) she'll be 2 as old she was 3 years ago.

Her age 3 years ago must be x-3

Now according to question,

twice Her age 3 years ago = her age after 7 years

now,

2(x-3) = 7+x
2x-6 = 7+x
2x-x =7+6
x = 13
x = 13



Therefore, her age presenr age is 13 years.
5 0
3 years ago
Read 2 more answers
The hypotenuse of a right triangle is 37 units long. Find the other two sides if the perimeter of the triangle is 84 units. Sepa
taurus [48]

Answer:

The lengths of the legs are 12 and 35 units

Step-by-step explanation:

Let c represent the hypotenuse and a and b represent the legs.  Then the Pythagorean Theorem requires that a^2 + b^2 = c^2 = 37^2 = Hypotenuse^2

Also:  a + b + c = Perimeter = 84 units.  

Since c = 37 units, a + b + 37 units = 84 units, or a + b = 47 units, or a = 47 - b.

Then a^2 + b^2 = 37^2 becomes (47 - b)^2 + b^2 = 37^2, or 1369.  Therefore:

2209 - 94b + b^2 + b^2 = 1369.

Simplifying by combining like terms, we get:  

840 - 94b + 2b^2 = 0, which is a quadratic equation in standard form.

Reducing all terms by division by 2, we get:

420 - 47b + b^2 = 0.  Here the coefficients are a = 1, b = -47 and c = 420.

The discriminant is therefore b^2 - 4ac, or 529, whose square root is ± 23.

Then the b values of this quadratic in b are

      47 ± 23

b = -------------- , so that b is either 35 or 12

             2

and then side a has length a = 47 - b = 12  or  35.

Thus, a = 12 and b = 35, and c is given:  37.

Check:  Is 12^2 + 35^2 = 37^2 true?  Is 144 + 1225 = 1369?  YES

The lengths of the legs are 12 and 35 units.

7 0
3 years ago
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