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Harman [31]
3 years ago
9

The larger of two numbers is five more than twice the smaller number. The sum of the two numbers is 38. Find the numbers.

Mathematics
1 answer:
White raven [17]3 years ago
8 0

Answer:

11 and 16

Step-by-step explanation:

A good way to solve these is to work backwards.

X= larger and Y= smaller

if X is 5 more than 2Y than subtract 5 from the total

38 - 5 = 33

divide by 3

33/3 = 11

11 = Y and double that is 22 so add the five back into X and you get 16

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Solve for x: −2x + 5 < 7
hoa [83]
-2x + 5 < 7

-2x + 5 < 7
<u>        -5     -5   </u>       deduct 5 from both sides
-2x       < 2
<u>÷ -2        ÷ -2  </u>       divide both sides by negative 2. Because of the division 
 x          > -1          using a negative number, the sign is then reversed.
                             from < it becomes >.

The value of x should be greater than -1. It can be 0, 1, 2, so on... 

To check: Revert back to the original sign which is <.

x = 1
-
2x + 5 < 7
-2(1) + 5 < 7
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3 < 7
7 0
3 years ago
The number of students who attended Lincoln Middle School last year was 860. This year, the attendance has increased to 1032 stu
Tju [1.3M]

Answer:

120 %.

Step-by-step explanation:

That is (1032 * 100) / 860 %

= 120 %

7 0
2 years ago
7 to the 6th power = n to the 8th power what is n
Valentin [98]

Answer:

n=7 3/4, -7 3/4

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8 0
3 years ago
Point B ∈ AC. Find the length of segments AB and BC if AC = 20 cm and: AB:BC = 3:7
madam [21]

Answer:

Length of AB  = 6 cm

Length of the segment BC =  14 cm

Step-by-step explanation:

Here, B is a point on a segment AC.

AB : BC = 3:7

Length of the segment AC = 20 cm

Now, let the common ratio between the segment is x.

So, the length of AB = 3 x , and Length of BC = 7 x

Now, AB + BC = AC

⇒  3x + 7x = 20

or, 10 x = 20

or, x = 2

Hence, the length of AB = 3 x = 3 x 2 = 6 cm

and the length of the segment BC = 7x =  7 x 2 =  14 cm

7 0
3 years ago
Read 2 more answers
David is buying 3 books in a trilogy set for $24.81. He will save $6.69 by buying the trilogy set instead of buying individual b
Ainat [17]

Answer:

Cost of each individual book = $10.5

Step-by-step explanation:

Given:

Cost of 3 book set = $24.81

Amount save = $6.69

Find:

Cost of each individual book

Computation:

Assume:

Cost of each individual book = a

Total cost = 3a

So,

Total cost = $24.81 + $6.69

Total cost = $31.5

So,

3a = $31.5

a = $10.5

Cost of each individual book = $10.5

4 0
2 years ago
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