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Savatey [412]
3 years ago
12

A positive number is 5 less than 3 times another. The sum of the smaller number and 4 times the larger is 97. Find the smaller n

umber
Mathematics
1 answer:
Gre4nikov [31]3 years ago
5 0

Answer:

  9

Step-by-step explanation:

The first sentence of the problem can be interpreted two ways. The way that makes the second sentence work out correctly is ...

  'a larger number is 5 less than 3 times a smaller number'

Using x for the smaller number, the two equations that can be written are ...

  • 3x -y = 5
  • x +4y = 97

Adding 4 times the first equation to the second, we get ...

  4(3x -y) + (x +4y) = 4(5) +(97)

  13x = 117 . . . . . simplify

  x = 9 . . . . . . . . divide by 13

The smaller number is 9.

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They have enough balloons because I used division as my operation. 3 can go into 16 five times. I got 1 after subtracting and bring down 2. 3 can go into 12 evenly 4 times. 12 minus 12 equals 0 with no remainder. So, they get 54 balloons for each group. But I want to know how many EACH student gets enough balloons. 54 divided by 6 groups equals 9 balloons for each student. GLOSSARY: Division - Set of operation that breaks down numbers into equal parts | Remainder - left over ||
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3 years ago
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Abby is adopting kittens from the pet store. if there are 18 kittens, how many ways can she choose 2 kittens? **the answer isnt
Arturiano [62]

Answer:

153 ways.

Step-by-step explanation:

The answer is the number of combinations of 2 from 18

= 18! / 2! (18-2)!

= 18! / 2! 16!

= 18*17*16! / 2! 16!

= 18 * 17 / 2*1

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= 153 ways.

7 0
4 years ago
Rachel spends 1/4 of her money
astra-53 [7]

Step-by-step explanation:

Let's start by defining our term:

How much she had at the beginning = B

Now let's edit that value like the problem says

B - B/4 - B/8 = 40

Let's multiply everything by 8 to get rid of any denominators

8B - 2B - B = 320

5B = 320

B = 64

Answer:

Rachel had $64 at the beginning.

4 0
3 years ago
A laptop is $891.99 before sales tax. If the sales tax rate is 7.5%, find the total of the laptop WITH the sales tax included.
padilas [110]
You add .75 to 891.99
6 0
3 years ago
What is the greatest fraction you can make using the digits 4, 7, and 9?
wel

Answer:

  (7^9)/4 = 40,353,607/4

Step-by-step explanation:

Assuming each digit is used once and exponentiation is allowed, the largest numerator and smallest denominator will result in the largest fraction.

__

If other functions, such as factorial are allowed, then there might need to be a limit on the number of times they are applied. For example,

  (7!)^(9!)/4 has about 1 million digits

something like ...

  ((7!)^(9!))!/4 has many more digits than that

and you can keep piling on the factorial symbols to any desired depth.

6 0
4 years ago
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