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stepan [7]
3 years ago
11

Sam has $140 to shop with… He wants to buy a pair of jeans that cost $45 and then some rings. The Rings cost $16 each. If Sam pu

rchases the Jeans first, what is the maximum number of rings that Sam can purchase?
Mathematics
1 answer:
m_a_m_a [10]3 years ago
6 0

Answer:

5 rings

Step-by-step explanation:

sam can only buy 5 rings because each ring cost $16 and after he bought the jeans which cost $45 it left him with only $95. so if you times 16 and 5 it gives you 80 and if you times 16 and 6 it gives you 96 but sam only had $95 left so he could only buy 5 which cost him $80. that left him with an extra $15.

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Question 1,2, and 3 how do i factor those? Can you show the work and explain how?
DiKsa [7]

1: 3n^{2}+9n+6

notice that each part is divisible by 3

3n^{2} ÷ 3 = n^{2}

9n ÷ 3 = 3n

6 ÷ 3 = 2

so it becomes 3(n^{2} +3n+2)

3n can be rewritten as 2n+n

-you want to rewrite it into two numbers that multiply to the number that's alone (in this case 2)

which would get you

3(n^{2} +2n+n+2)

Now that it's rewritten, you can factor out n + 2 from the equation.

<u><em>the answer is </em></u>

3(n+2)(n+1)

And you can check that by multiplying (n+2)(n+1) which is n^{2} +2n+n+2 and then each of those by 3, which is 3n^{2} +6n+3n+6 or 3n^{2}+9n+6, our origional equation

2: 28+x^{2} -11x

So I rewrote this as x^{2} -11x+28 (it's the same thing, just reordered using the commutative property)

now -11x can be rewritten as -4x-7x

(remember, the two numbers should multiply to equal 28, which is our constant.)

x^{2} -4x-7x+28

now we can factor out x from the first expression and -7 from the second

x(x-4)-7(x-4)

and lastly you factor out x-4,

<u><em>which would give you</em></u>

(x-4)(x-7)

Make sure to check your work and make sure it multiplies to x^{2} -11x+28

3: 9x^{2} -12x+4

The first thing I notice when looking at this problem is that both 9 and 4 are perfect squares. Not only that, but they are the squares of 2 and 3, which are products of -12

So if you rewrite 9 as 3^{2} and 4 as 2^{2}, the equation becomes

3^{2} x^{2} -12x+2^{2}

now that 3^{2} x^{2} is ugly so it can be turned into (3x)^{2}

and -12x can be rewritten as -2*3x*2

so our equation now looks like (3x)^2-2*3x*2+2^{2}

There's a rule that says a^{2} -2ab+b^{2} = (a-b)^{2}

In our case, a=3x and b=2

<u><em>so the final answer is</em></u>

(3x-2)^2

5 0
2 years ago
Kaya is saving money at a rate of $30 per month. Edgardo is saving money at a rate of $35 per month. They both started saving at
ladessa [460]
Let Kaya's savings be 30x and Edgardo's savings be 35x If they both started saving at the same time: f(x)=30x f(x)=35x Now, sub in values for x in to the function starting with 0. Subtract y2-y1 and x2-x1 for both functions. For slope: m=y2-y1/x2-x1 so your result will be m=30/1=30 for f(x) = 30x and m=35/1=35 for f(x) = 35x so the slopes are m=30 and m=35 respectively!
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3 years ago
4. The population of a town is modeled by the equation P - 165812002, where "p"
Pavel [41]
Is that all the information ? I think they’re missing something
5 0
3 years ago
What would 897,100 be if rounded to the nearest ten thousand?
Finger [1]
90,000

the reason is because look at the 1,000 place that rounds the 10,000 place to 0 and carries the 1 over to the 100,000 place


6 0
3 years ago
Read 2 more answers
What is the length of square root 18 to the nearest hundredth
Katena32 [7]

Answer:

4.24

Step-by-step explanation:

3 0
3 years ago
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