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eduard
3 years ago
6

21. Construct quadrilateral ABCD, where AB = 4.5 cm, BC = 5.5 cm, CD = 4 cm, AD = 6 cm,

Mathematics
1 answer:
Lunna [17]3 years ago
5 0
AC= 10cm because B is the half point between A and C so your adding AB= 4.5 cm and BC= 5.5 cm you get a total of 10 cm, so your answer would be 10 cm
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Slope mystery message answer
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4 0
3 years ago
Can anyone help me on this problem? Please it doesn’t make sense to me...
Sav [38]

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

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(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.

3 0
3 years ago
Mary has a third of the money that Erin has. Erin has $8 less than John. Together they have $267. How much money does each of th
svet-max [94.6K]

Mary = (1/3)x

Erin = x - 8

John = x

Here is your equation:

(1/3)x + (x - 8) + x = 267

Take it from here.

5 0
3 years ago
Read 2 more answers
The sum of two positive numbers is 5 times their difference. What is the ratio of the larger number to the smaller number?
Anna11 [10]
Let the two numbers be x and y

x + y = 5(x-y)
x + y = 5x -5y
6y = 4x
x= (6/4)y
x= (3/2)y

there the ratio is 3/2
4 0
3 years ago
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