Write two numbers that multiply to −33 and add to 8
1 answer:
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Answer: Yana has 8 bathing suits.
Step-by-step explanation: Given that the ratio of Dina’s bathing suits to Yana’s bathing suits was 4 : 1 and Dina has 24 more bathing suits than Yana.
We are to find the number of bathing suits that Yana has.
Let 4x and x represents the number of bathing suits that Dina and Yana have respectively.
Then, according to the given information, we have
Therefore, the number of bathing suits that Yana has is given by
Thus, Yana has 8 bathing suits.
Answer: The answer is x = 6 units.
Step-by-step explanation: Please refer to the attached diagram
The diagram in the question shows two triangles placed on each other and for convenience sake has been labelled ABDCE. Triangle ABC is a right angled triangle, and so is triangle ADE. From the marks on the lines, we can infer that line AD is equal in measurement to line DB. Also line AE is equal in measurement to line EC.
Therefore we can see the similarity in both triangles, if AD and AE equals DB and EC, then it follows that DE equals BC.
Hence if AD = DB and
AE = EC, and
DE = BC
Then, x - 3 = ½x
(½x can also be expressed as x/2)
x - 3 = x/2
By cross multiplication we now have
2(x - 3) = x
2x - 6 = x
By collecting like terms we now have
2x - x = 6
x = 6
