Evaluate...............

Thus the required number of male and female students are 9 and 31 respectively.

Mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

here,
Let the number of male students is x and the number of female students be y,
According to the question,

x + y = 40
x = 40 - y ----- (1)
Now,
again from the question,

5y = 3x + 128
3x = 5y - 128
from equation 1
3 (40 - y) = 5y -128
120 - 3y = 5y - 128
120 + 128 = 8y
8y = 248
y = 31
Now,
From equation 1
x = 40 - y
x = 40 - 31
x = 9

Thus the required number of male and female students are 9 and 31 respectively.

Learn more about arithmetic here:

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We know that sum of the interior angles of any triangle equal 180° :

So :

A + B + C = 180°

45° + 75° + C = 180°

120° + C = 180°

Both sides minus ( 120°) :

C = 180° - 120°

C = 60°

_________________________________

According to the theorem of sinuses :

[tex] \frac{AB}{ \sin(C) } = \frac{BC}{ \sin(A) } \\ [/tex]

[tex] \frac{AB}{ \sin(60) } = \frac{12}{ \sin(45) } \\ [/tex]

[tex] \frac{AB}{ \frac{ \sqrt{3} }{2} } = \frac{12}{ \frac{ \sqrt{2} }{2} } \\ [/tex]

[tex]Multiply \: both \: sides \: by \: \frac{ \sqrt{3} }{2} [/tex]

[tex] AB = \frac{24}{ \sqrt{2} } \times \frac{ \sqrt{3} }{2} \\ [/tex]

[tex]AB = \frac{12 \sqrt{3} }{ \sqrt{2} } \\ [/tex]

[tex]AB = \frac{2 \times 6 \sqrt{3} }{ \sqrt{2} } \\ [/tex]

[tex]AB = \frac{ ({ \sqrt{2} })^{2} \times 6 \sqrt{3} }{ \sqrt{2} } \\ [/tex]

[tex]AB = \frac{ \sqrt{2} \times \sqrt{2} \times 6 \sqrt{3} }{ \sqrt{2} } \\ [/tex]

[tex]AB = \frac{ \sqrt{2} \times 6 \sqrt{3} }{1} \\ [/tex]

[tex]AB = \sqrt{2} \times 6 \sqrt{3} [/tex]

[tex]AB = 6 \sqrt{2 \times 3} [/tex]

[tex]AB = 6 \sqrt{6} [/tex]

_________________________________

I think this is the correct answer.

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

Answer:

Step-by-step explanation:

180-117 = 63(l.p)

66+63+x = 180 ( angle sum property)

180 - 129 = 51

x = 51

Answer:

2,000

Step-by-step explanation:

Count 1,000 twice. 2 x 1,000 = 2,000. Have a nice day!

Answer:

2000

Step-by-step explanation:

Ignore the 0s since anything times 0 is 0. Multiply 1 by 2. Put the zeroes in the answer and it's 2000

the answer is y=3/4x-9

Answer:

The second answer is correct

Step-by-step explanation:

1, 3, and 6 are proportional to 5/3, 5, and 10

I hope this helps you :)

Answer:

45º, 45º, 90º

Step-by-step explanation:

Assume angles are x then third is x+x = 2x.

sum of angles in a triangle = 180

=> x + x + 2x = 180

=> 4x = 180

=> x = 180/4 = 45

so, angles are 45,45 and 90.

Answer:

5.92 × 10^5

Step-by-step explanation:

8.0 × 10²= 800

7.4 × 10²= 740

800 × 740 = 592000

592000 in scientific notation looks like this 5.92 × 10^5

Hope this helps!!

Answer:

5.92 x 10^5

Step-by-step explanation:

The product of the two is 592000 and to do scientific notation you put the decimal after the first number and however many numbers are after that decimal is the number 10 is to the power of.  To know if the exponent after the ten is positive or negative if you move the decimal to the right in order to make it the original number it is positive, and if you have to move it to the left  then you have a negative exponent after the 10.

Answer:

Are you trying to create a meeting?

Step-by-step explanation:

If u are i can help? :)

Answer:

1,823.20

Step-by-step explanation:

I'm smart!

Answer:

this is way to hard

Step-by-step explanation:

Answer:

X=0

Step-by-step explanation:

f(X)=0

3^x-1=0

3^x=1

3^x=3^0

X=0

Answer:

do you still need help on tge questio ?

Answer:

7

Step-by-step explanation:

15/2= 7.5

he can't buy a half bag so it's 7 bags

Answer:  y=1/3x  or y−1=1/3(x−3)

Step-by-step explanation:

Answer: 3/10

Step-by-step explanation:

The reciprocal is the fraction/ number flipped

Answer:

81

Step-by-step explanation:

12(6) + 9

72 + 9

81......

Answer:

81.

Step-by-step explanation:

(12 x 6) + 9 = 81

12 x 6 = 72

72 + 9 - 81

Answer:

a

Step-by-step explanation:

because Domain and Range

Answer:

D

Step-by-step explanation:

5 girls 4 boys=9

10 girls 8 boys=18

15 girls 12 boys=27

some possible equations equivalent to 2x+3y=12 would be:

1)

y=−2x+12/3

written form:

y= negative 2x plus 12 over/divided by 3

2)

y=−2/3x+4

written form:

y= negative 2 over/divided by 3x plus 4

3)

y=4−2/3x

written form:

y= 4 minus 2 over/divided by 3x

4)

y=12−2x/3

written form:

y= 12 minus 2x over/divided by 3

those are all i could think of! Hope this helped :)

If its too complicated comment and ill try to simplify it. remember ITS NEVER WRONG TO ASK QUESTIONS!!!

The equivalent expression for the equation 2x + 3y = 12 are:

x = 6 - 3y/2

y = 4 - 2x/3

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

We have,

2x + 3y = 12

We need to find an equivalent expression for this equation.

We can have many forms:

Case 1.

2x + 3y = 12

Subtracting 3y on both sides.

2x + 3y - 3y = 12 - 3y

2x = 12 - 3y

Dividing 2 into both sides.

x = 12/2 - 3y/2

x = 6 - 3y/2

Case 2.

2x + 3y = 12

Subtracting 2x on both sides.

2x + 3y - 2x = 12 - 2x

3y = 12 - 2x

Dividing 3 into both sides.

y = 12/3 - 2x/3

y = 4 - 2x/3

Thus the equivalent expression for the equation 2x + 3y = 12 are:

x = 6 - 3y/2

y = 4 - 2x/3

Learn more about equations here:

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Answer:

Area= 54 cm^2

Step-by-step explanation:

Recall that a rhombus is given by the product of its two diagonals (d1 and d2) divided by 2.

Area = d1 * d2 / 2

So in our case, the longer diagonal is 12 cm long, and the shortest one should be in the ratio 3:4, therefore:

3 /4 = d2 / d1

3 / 4 = d2 / 12

d2 = 3 * 12 /4

d2 = 3 * 3

d2 = 9 cm

Then we can now calculate the Area of the rhombus as;

Area = d1 * d2 / 2 = 12 * 9 / 2 = 54 cm^2

Answer:

The value of 7 is 0.07.

Step-by-step explanation:

Basically, it is seven thousandths.

Hope I helped! ☺

Answer:

I would say it's the amount of potted plants.

Step-by-step explanation:

x is the independent variable and y is the dependent variable. Y counts on x, so total cost counts on the amount of potted plants.

Answer:

thats easy j

Step-by-step explanation:

Answer:

14.4

Step-by-step explanation:

ABCD~LMNO

look, M and N are in the places of B and C

Answer:

Hi there

Your answer is

$42.08

To find the final price of the shoes, we would use the 15% discounted price, $46.75, as 100% and find 10% discount of that.

46.75 = 100%

/10

4.675 = 10%

Now, subtract 10% from the 15% discounted price

46.75 - 4.675 = 42.075$ Round up

$42.08

Answer:

find the final price by subtracting 10% from the sale price of $46.75 which is $4.68 making the final price $42.07

Answer:

1. Alternate exterior angles

2. Vertical angles

3.Linear pair

4.Supplementary angles

5.Same side interior angles

6.Supplementary

7. congruent

8.congruent

9.Supplementary

Step-by-step explanation:

You need the postulates and theorems in order to answer these.

Answer:

The probability the earth is saved is [tex]P(X >  3) = 0.8753 [/tex]

Step-by-step explanation:

From the question we are told that  

   The number of missiles lunched by earth is n =  500

   The probability that each missile will hit the rocket is  p(x) =  0.01

Generally the expected number of  missiles that will hit the rocket is  

    [tex] \lambda =  n  *  p(x)[/tex]

    [tex]\lambda =  500  *  0.01 [/tex]

    [tex]\lambda =  5[/tex]

Gnerally the probability that Earth will be saved is mathematically represented as

      [tex]P(X >  3) =  1 - P(X \le 2)[/tex]

=>    [tex]P(X >  3) =  1 -  P( X = 0 ) + P(X =1 ) + P( X = 2) [/tex]

Gnerally the probability distribution function of a Poisson distribution is

      [tex]P(K) =  \frac{e^{- \lambda t } *  (\lambda *  t)^k}{k!}[/tex]

Here t =  1

Hence

      [tex]P( X = 0 ) =  \frac{e^{-5} *  5^0 }{0!}[/tex]

      [tex]P(X =1 ) =\frac{e^{-5} *  5^1 }{1!}[/tex]

     [tex]P( X = 2) = \frac{e^{-5} *  5^2 }{2!}[/tex]

 [tex]P(X >  3) =  1 - [ \frac{e^{-5} *  5^0 }{0!} + \frac{e^{-5} *  5^1 }{1!} +  \frac{e^{-5} *  5^2 }{2!}][/tex]

[tex]P(X >  3)= 1 - [ \frac{0.00673 }{1} + \frac{0.033689}{1} +  \frac{0.168449 }{2}][/tex]

[tex]P(X >  3) = 0.8753 [/tex]

Answer:

7 in 1/2 for Y and 6 in 1/2 for X

Step-by-step explanation:

you can not go up nine so split it in half and add them on to X Y

and PS I am in 7th grade I tried my best and do you want to be friends ? my name is Ayden Hickle.