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Lana71 [14]
3 years ago
11

The sum of two numbers is 21. The larger number is 6 less than twice the smaller number. Find the two numbers.

Mathematics
1 answer:
never [62]3 years ago
5 0
The sum of two numbers
 x + y = 21
x = smaller number
y = larger number

Larger Number = y = (2x -6)
Substitute  (2x - 6) for y
x + y = 21
x + (2x - 6) = 21
3x - 6 = 21
3x = 21 + 6
3x = 27
3x / 3 = 27 / 3
x =  9
Smaller number = x = 9
Find the larger number by inserting 9 into (2x - 6)
(2x - 6)
(2(9) - 6)
18 - 6
12

So 
x = 9
y =12

Check our answer by inserting x = 9 and y = 12 into  x + y = 21
x + y =21
9 + 12 = 21
21 = 21 
So since we have 21 = 21 we know our answer is correct. 
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Explanation:

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however, since he only ran for ¾ of an hour, which is equal to 0.75, we can multiply the 3 ⅓ miles by 0.75 to get 2.5 or 2 ½ miles.

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7 0
3 years ago
Which number can be classified as a terminating decimal number?
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0.1257 is a terminating decimap
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Which expression has a value of 7/12 ? 7/8 + 4 , 1/3 + 1/4 , 6/8 + 1/4 , 2 1/12 + 5 1/12
vazorg [7]

Answer:

\frac{1}{3}  +  \frac{1}{4}

Step-by-step explanation:

We want to find an expression that has a value of

\frac{7}{12}

First option:

\frac{7}{8}  + 4 =  \frac{7}{8}  +  \frac{32}{8}  =  \frac{39}{8}  \ne \frac{7}{12}

Second option:

\frac{1}{3}  +  \frac{1}{4}  =  \frac{4}{12}  +  \frac{3}{12}  =  \frac{7}{12}

Correct option

Third option

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Fourth option:

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5 0
3 years ago
Irrational number between 3.077243 and 3.0721​
Vikentia [17]

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3.066543

Step-by-step explanation:

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6. You are planning a trip. You can go to Phoenix, Las Vegas, San Diego, or Los Angeles. You can
nadya68 [22]

Answer:

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Step-by-step explanation:

Here the first thing we need to find is all the individual events, such that each event (or selection) will have a given number of options.

The first event is the selection of the location.

Here the options are: Phoenix, Las Vegas, San Diego, or Los Angeles (4 options)

The second event is the selection of how you go there.

The options are flying or driving (2 options)

The third event is the selection of how many days you will stay there. The options are 3 days, 4 days, and 5 days (3 options).

The total number of different trip possibilities is equal to the product between the number of options for each event.

P = 4*2*3 = 24

There are 24 different trip possibilities.

6 0
3 years ago
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