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nadya68 [22]
3 years ago
6

The sum of a number and two times a smaller number is 62. Three times the bigger number exceeds the smaller number by 116.

Mathematics
1 answer:
9966 [12]3 years ago
7 0

Answer:

10 and 42

Step-by-step explanation:

The difficulty with word problems is translating them into math.

Let's do that

---------------------

The sum of a number and two times a smaller number is 62.

let's call the bigger number b, and the smaller number s

b + 2s = 62

Three times the bigger number exceeds the smaller number by 116

3b = s + 116

-----------------------

Now manipulate one of the equations to isolate the variable

3b = s + 116

Subtract 116 from both sides

3b - 116 = s

substitute for s = 3b - 116 in

b + 2s = 62

b + 2(3b - 116) = 62

Distribute

b + 6b - 232 = 62

combine like terms

7b = 294

Divide both sides by 7

b = 42

to find s plug in b = 42 into

b + 2s = 62

42 + 2s = 62

subtract 42 from both side

2s = 20

divide both sides by 2

s = 10

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The Bayside Bugle charges by the word to run automotive ads. The newspaper
11111nata11111 [884]

Answer:

$20.45

Step-by-step explanation:

Since the Bayside Bugle charges $18 for the first 20 words and there is more than 20 words in the ad you take 27-20 and you get 7 additional words.

Now we know that we already have to pay $18 for the first $20 words.

Since we have 7 additional words we multiply that by 0.35 cents and you get $2.45.

Next we add up our two numbers (2.45+18) we get the total of $20.45 fro a 27-word ad.

I hope this helps :)

8 0
3 years ago
Help!!!!
shusha [124]

Answer:

x = 4

Step-by-step explanation:

Since JB is the bisector of AD and the length of AD is given as 24 we can conclude that AZ is 12 (half of AD)

2x + 4 = 12

2x = 8

x = 4

3 0
3 years ago
Mark each! Of the following equations as true or false. Explain or showing your reasoning!
Airida [17]

Answer:

False

True

True

Step-by-step explanation:

Multiplying add exponents

Divide subtract exponents

Exponent multiply exponents

8 0
2 years ago
This spinner is spun 36 times. The spinner landed on A 6 times, on B 21 times, and on C 9 times. Compute the empirical probabili
Kruka [31]

Answer: 7/12

Step-by-step explanation:

number of times it landed on A = 6

number of times it landed on B = 21

number of times it landed on C = 9

Total number = 36

The empirical probability that the spinner will land on B is given by

P(B) = number of times it landed on B / Total number , that is

p(B) = 21/36

P(B) =7/12

Note: Empirical means verifiable by observation or experience rather than theory and it was verified that it landed on B 21 times.

6 0
3 years ago
Can someone help me
nignag [31]
The second answer, cause it best shows the equation, but they just moved the numbers around. It is also the only equation with all the same numbers used in the original equation, too
4 0
2 years ago
Read 2 more answers
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