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Sholpan [36]
3 years ago
15

In a certain year, exactly 1,481 fewer women than men applied to U.S. medical schools. If 29,250 men applied, what was the total

number of
people who applied to U.S. medical schools in this year?
Mathematics
1 answer:
Oxana [17]3 years ago
3 0
The total number of people who applied to U.S. medical schools this year would be 57,019.

29,250 - 1,481 = 27,769
29,250 + 27,769 = 57,019
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The sum of squares of two consecutive odd numbers is 514 find the numbers ​
amid [387]

Correct Question : The sum of squares of two consecutive positive odd numbers is 514. Find the numbers.

\rule{130}1

Solution :

Let the two consecutive positive odd numbers be x and (x + 2)

\rule{130}1

☯ \underline{\boldsymbol{According\: to \:the\: Question\:now :}}

:\implies\sf x^2 + (x + 2)^{2} = 514 \\\\\\:\implies\sf x^2 + x^2 + 4x + 4 = 514\\\\\\:\implies\sf 2x^2 + 4x + 4 = 514 \\\\\\:\implies\sf 2x^2 + 4x = 514 - 4\\\\\\:\implies\sf 2x^2 + 4x = 510 \\\\\\:\implies\sf 2x^2 + 4x - 510 = 0\\\\\\:\implies\sf x^2 + 2x - 255 = 0 \:\:\:\:\:\Bigg\lgroup \bf{Dividing\:by\:2}\Bigg\rgroup\\\\\\:\implies\sf x^2 + 17x - 15x - 255 = 0\\\\\\:\implies\sf x(x + 17) - 15(x + 17) = 0\\\\\\:\implies\sf (x + 17) (x - 15)\\\\\\:\implies\sf x = - 17\:or\:x = 15\\\\\\:\implies\underline{\boxed {\sf x = 15}}\:\:\:\:\:\Bigg\lgroup \bf{Positive\:odd\: number}\Bigg\rgroup

When,

\bullet\: \textsf {x = } \textbf {15}

\bullet\: \sf x + 2 = 15 + 2 =\textbf{ 17}

\therefore\:\underline{\textsf{The required positive integer is \textbf{15 and 17}}}.

5 0
3 years ago
6+{9(2x7)}+10+12{7x3(5+10)}
choli [55]

Answer:

bro wat math is this

Step-by-step explanation:

6 0
3 years ago
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telo118 [61]

Answer:

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Step-by-step explanation:

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6 0
2 years ago
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Goshia [24]
To find the reciprocal, just switch the numerator and denominator around.

-8b
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5b-6

Reciprocal:

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______
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3 0
2 years ago
Write the sum of the numbers as the product of their gcf and another sum Problem: 30+54
omeli [17]
The correct answer here is that the sum has to be 84. This is due to the fact that 30 + 54 is 84, and the greatest common factor is 6 because the factors of 30 are 1, 2, 3, 5, 6 , 10, 15, and 54's Factors: 1, 2, 3, 6, 9, 18, 27, and 54, so from this we can see that 6 is the great common factor.
4 0
3 years ago
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