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Lubov Fominskaja [6]
3 years ago
7

1800 people attended the National Day dinner in a certain constituency Given that 35.5 of them were. men, 40 % of them were wome

n and the rest were children, find the number of children who attended the dinner​
Mathematics
1 answer:
gavmur [86]3 years ago
7 0

children

25.5 %

so 25.5% of 100

495

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Use a net of the square pyramid, if necessary, to find the surface area of the pyramid.
Simora [160]
Imma guess 9 I’m not sure
8 0
2 years ago
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Sum of positive roots of the equation (x2 - 12x + 35) (x2 + 10x + 24) = 504 is
Digiron [165]

Answer:

(3)11

Step-by-step explanation:

We are given that

(x^2-12x+35)(x^2+10x+24)=504

We have to find the sum of positive roots of the equation.

x^2(x^2+10x+24)-12x(x^2+10x+24)+35(x^2+10x+24)=504

x^4+10x^3+24x^2-12x^3-120x^2-288x+35x^2+350x+840=504

x^4-2x^3-61x^2+62x+840-504=0

x^4-2x^3-61x^2+62x+336=0

Factor of 336

2,3,4,6,8,7,

Let x=2

2^4-2^4-61(2^2)+62(2)+336\neq0

x=2 is not the root of equation

x=-2

(-2)^4-2(-2)^3-61(-2)^2+62(-2)+336=0

Hence x=-2 is the root of equation.

x+2 is a factor of equation.

x=3

3^4-2(3^3)-61(3^2)+62(3)+336=0

Therefore, x=3  is the root of equation.

(x+2)(x-3)(x^2-x-56)=0

(x+2)(x-3)(x^2-8x+7x-56)=0

(x+2)(x-3)(x(x-8)+7(x-8))=0

(x+2)(x-3)(x-8)(x+7)=0

x-8=0\implies x=8

x+7=0\implies x=-7

Positive roots are 3 and 8

Sum of positive roots=3+8=11

Option (3) is true.

4 0
3 years ago
Serial numbers for a product are to be made using 2 letters followed by 2 digits. The letters are to be taken from the first 6 l
Andru [333]
Alright so I'm coming up with this on the fly; you have the first six letters (a,b,c,d,e,f) and 0-9 and your ten numbers. calculate the amount of possible combinations for the letters by simply writing them down.
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bc, bd , be, bf- four
cd, ce, cf- three
de, df- two
ef,- one.
adding these all together gets a total of 15 for the letters. now the numbers
01, 02, 03, 04, 05, 06, 07, 08, 09- nine
12, 13, 14, 15, 16, 17, 18, 19- eight
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34, 35, 36, 37, 38, 39- six
45, 46, 47, 48, 49- five
56, 57, 58, 59- four
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78, 79- two
89- one
added together with a total of 45 combinations.
alright so, 45 different number combinations and 15 letter combinations. multiplying 15 by 45 should tell you the total possible combinations for a two letter and two number serial-number

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3 years ago
5x-8=37 find the value of x
Andrej [43]
Because <span>−8</span><span> does not contain the </span>variable<span> to solve for move it to the other side of the </span>equation<span> by adding </span>8<span> to both sides.
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</span>Add 8<span> and </span>37<span> to get </span><span>45.
</span><span>5x=45

</span>Divide<span> each </span>term<span> by 5.
</span>x=<span>9
</span>

x is equal to 9
3 0
3 years ago
Which expression correctly represents “three less than the product of a number and two, increased by five”?
Tju [1.3M]

The answer is 3-n2-5

5 0
3 years ago
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