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GalinKa [24]
3 years ago
8

Can anyone help me on this problem? Please it doesn’t make sense to me...

Mathematics
1 answer:
Sav [38]3 years ago
3 0

Answer:

6

Step-by-step explanation:

Cost per item is found by dividing the cost by the number of items. If the woman bought n items for $120, the cost of each item is $120/n. If the woman bought 24 more items, n+24, at the same price, then the cost per item is $120/(n+24). The problem statement tells us this last cost is $16 less than the first cost:

120/(n+24) = (120/n) -16

Multiplying by n(n+24) gives ...

120n = 120(n+24) -16(n)(n+24)

0 = 120·24 -16n^2 -16·24n . . . . . . subtract 120n and collect terms

n^2 +24n -180 = 0 . . . . . . . . . . . . . divide by -16 to make the numbers smaller

(n +30)(n -6) = 0 . . . . . . . . . . . . . . factor the quadratic

The solutions to this are the values of n that make the factors zero: n = -30, n = 6. The negative value of n has no meaning in this context, so n=6 is the solution to the equation.

The woman bought 6 items.

_____

Check

When the woman bought 6 items for $120, she paid $120/6 = $20 for each of them. If she bought 6+24 = 30 items for the same money, she would pay $120/30 = $4 for each item. That amount, $4, is $16 less than the $20 she paid for each item.

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Need help I don’t know what he did wrong
Naddik [55]

Answer:

6-2x+5+4x

Group the similar numbers

2x+11

Step-by-step explanation:

Tyler multiplied the numbers when he should've have grouped the similar numbers together

5 0
3 years ago
The circle graph shows the results of a survey by a bakery on which of their new products 105 customerspreferred most. How many
Katen [24]

If 105 customers were the total, and 35% prefers cake, we must calculate 35% of 105, then we must do 105 multiplied by 35%, we can doit transforming the 35% in the fraction notation:

35\%=\frac{35}{100}

And the multiplication

105\cdot\frac{35}{100}=36.75

Therefore, if we round it to the nearest whole number, the number of customers that prefer cake is 37.

37 customers prefer cake.

4 0
1 year ago
What is the greatest common factor of 18 and 3?
-Dominant- [34]
3 is your greatest 

3/3 = 1

18/3 = 6


hope this helps
8 0
3 years ago
What is the amplitude of this graph?
Alexxandr [17]
<h3>Answer:  2</h3>

The lowest point has a y coordinate of 2. The highest point has a y coordinate of 6. The difference is 6-2 = 4. Cut this in half to get 4/2 = 2 which is the amplitude. This is the vertical distance from the midline (y = 4) to either the peak point or the valley point.

5 0
3 years ago
Read 2 more answers
1. If h(x) = 4x - 2, then which of the following is the solution to h(x) = 3 ?
luda_lava [24]

Answer:

10

Step-by-step explanation:

h(x)=4x-2                         h(x)=3

h(3)=4(3)-2                     substitute

h(3)=12-2                        multiply

=10                                subtract

8 0
2 years ago
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