Answer:
Hence, the equation that represents the number of songs she will have after 104 weeks is:
Step-by-step explanation:
It is given that:
originally had 47 songs but plans to purchase 3 new songs each week. She wants to know how many songs she will have after 104 weeks.
Based on the data we see that:
Initial number of songs she has:
The number of songs she will have after second week is:
After Third week:
and so on:
After 104 weeks she will have:
Hence, option: C is the correct answer.
( This could also be seen as it form an arithmetic progression with initial term as a=47 and common difference i.e. d=3
Hence, the nth term is given by:
)
Answer:
Multiply the number of cans by the volume of each: 12,000 oz.
Step-by-step explanation:
You find the total volume of more than one can by adding the volumes of the cans involved.
For 2 cans, the volume would be ...
12 oz + 12 oz = 24 oz
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When you consider adding numbers more than a couple of times, you start looking for ways to simplify the effort. Multiplication was invented for that purpose. Here, multiplying the volume of 1 can by 1000 is the same as adding the volumes of 1000 cans.
For 1000 cans with volume of 12 oz each, the volume of the total is ...
1000 × 12 oz = 12,000 oz.
Answer:
2 2/3=(6+2)/3=8/3
22 5/8=(176+5)/8=181/8
the expression will be 181/8 : 8/3=181/8*3/8=181*3/8*8= 543/64
Step-by-step explanation:
Answer:
The graph does not intercept the x-axis
Step-by-step explanation:
Hi there!
When the discriminant is positive, it means that in the quadratic equation, you <em>can</em> take the square root of this number and end up with two distinct solutions, one negative and one positive. The graph will intercept the x-axis twice.
When the discriminant is zero, it means that you won't be taking the square root of any number in the quadratic equation and you'll end up with two solutions that are equal, or just one distinct solution. The graph will intercept the x-axis once.
When the discriminant is negative, it means that the quadratic has no real solutions, meaning that it does not intercept the x-axis. It is impossible to take the square root of a negative number.
I hope this helps!
1/7 (x - 3) = 5/7
1/7x - 3/7 = 5/7
1/7x - 3/7 + 3/7 = 5/7 + 3/7
1/7x = 8/7
1/7x(7) = 8/7(7)
X = 56/7
X = 8
