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olya-2409 [2.1K]
3 years ago
6

The greater of two numbers is 3 times the smaller. Their sum is 44. Find the numbers.

Mathematics
2 answers:
Andrej [43]3 years ago
3 0

Answer:

11 and 33

Step-by-step explanation:

The greater of two numbers is 3 times the smaller.

Let the numbers be

n and 3n

sum is 44

n + 3n = 44

4n = 44

Divide both sides by 4

n = 11

3n = 3 * 11

3n = 33

Anna007 [38]3 years ago
3 0

Answer:

smaller number is 11

bigger number is 33.

Step-by-step explanation:

Lets make the smaller number be a, the bigger number 3a since its 3 times a's value

the sum of a and 3a is 44

so we write

a+3a = 44

combine like terms

a+3a = 4a

4a = 44

divide both sides by 4

a = 11.

Now we know the smaller number is equal to 11, but we are not done just yet.

We have to find the value of the bigger number by plugging in 11 into our equation

11+3*11 = 44

11 + 33 = 44

which means the bigger number is 33

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mart [117]

Answer:

where's the answer choices???

Step-by-step explanation:

3 0
3 years ago
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Paul [167]

I think the answer is "the denominator"

3 0
2 years ago
Please explain with working!!! Find the set of values of x that satisfy the inequality 9x^2-15x<6
Oksi-84 [34.3K]

Answer:

-1/3

Step-by-step explanation:

When solving a quadratic inequality, first solve it normally like you would for a normal quadratic equation. We have:

9x^2-15x

Ignore the less than sign and replace it with an equal sign and solve the quadratic for its zeros:

9x^2-15x=6

Subtract 6 from both sides:

9x^2-15x-6=0

Divide everything by 3:

3x^2-5x-2=0

Factor. Find two numbers that equal (3)(-2)=-6 that add up to -5.

-6 and 1 works. Thus:

3x^2-6x+x-2=0\\3x(x-2)+1(x-2)=0\\(3x+1)(x-2)=0

Find the x using the Zero Product Property:

3x+1=0 \text{ or }x-2=0\\x=-1/3\text{ or }x=2

Now, we need to replace the equal signs with symbols again. To do so, we need to test which symbol to place. Let's do the first zero first.

So, the first zero is:

x=-1/3

Assume that the correct symbol is >. Thus,

x>-1/3

Now, pick any number that is greater than -1/3. I'll pick 0 since it's the easiest. Now, plug 0 back into the very original inequality. If it works, then the sign is correct, if it doesn't, then simply use the opposite one. Therefore:

9x^2-15x

0 is indeed less than six, so our first correct solution is:

x>-1/3

For the second one, do the same thing. We have:

x=2

Assume that the correct symbol is <. Thus:

x

Again, pick any number less than 2. I'm going to use 0. Plug 0 back into the original equation

9x^2-15x

Again, this is correct. Therefore, x<2 is also the correct inequality.

So together, we have:

x>-1/3 \text{ and } x

Together, we can write them as:

-1/3

(Note that we don't need to worry about the "or equal to" part since the original inequality didn't have it.)

6 0
3 years ago
Ely has a bag of 42 strawberries. She eats 16 strawberries. How many cherries does she have left. The next day she goes to the s
juin [17]

The number of cherries left is 26

Ely has 54 strawberries now

<em><u>Solution:</u></em>

Given that, Ely has a bag of 42 strawberries. She eats 16 strawberries

To find: Number of cherries left

From given,

Total number of strawberries = 42

Number of strawberries eaten = 16

Therefore,

Number of cherries left = Total number of strawberries - Number of strawberries eaten

Number of cherries left = 42 - 16 = 26

Thus, number of cherries left is 26

<em><u>The next day she goes to the store and buys 28 more cherries</u></em>

Number of cherries bought = 28

Therefore,

Total number of cherries she has now = number of cherries left + Number of cherries bought

Total number of cherries she has now = 26 + 28 = 54

Thus she has 54 strawberries now

8 0
2 years ago
1. 5 + (-8) =
seropon [69]

Answer:

ask siri she helps for each question

Step-by-step explanation:

7 0
3 years ago
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