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snow_lady [41]
3 years ago
8

I need help on this i dont get it and i need to bring my homework by tomorrow

Mathematics
1 answer:
natita [175]3 years ago
7 0

a ratio is how many X there are per Y. for example, a fraction is a ratio: 10/5 = 2 because there are 2 fives in a ten. but usually a ratio is written as x:y.

so to find these ratios, first we need to find the number of girls. 30 students-16 boys = 14 girls.

the ratio of girls to boys is 14:16 because there are 14 girls to every 16 boys. we simplify this to 7:8.

the ratio of girls to all students is 14:30. we simplify this to 7:15.

the ratio of boys to girls is 16:14, which simplifies to 8:7.

the ratio of boys to all students is 16:30, which simplifies to 8:15.

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What is the first step in solving this system of equations by elimination? 5a + 3b = –9 2a – 5b = –16
Elis [28]
<span>Multiply one of the equations so that both equations share a common complementary coefficient.
       In order to solve using the elimination method, you need to have a matching coefficient that will cancel out a variable when you add the equations together. For the 2 equations given, you have a huge number of choices. I'll just mention a few of them.
   You can multiply the 1st equation by -2/5 to allow cancelling the a term.
   You can multiply the 1st equation by 5/3 to allow cancelling the b term.
   You can multiply the 2nd equation by -2.5 to allow cancelling the a term. You can multiply the 2nd equation by 3/5 to allow cancelling the b term.
   You can even multiply both equations.
For instance, multiply the 1st equation by 5 and the second by 3. And in fact, let's do that. 5a + 3b = –9 2a – 5b = –16 5*(5a + 3b = -9) = 25a + 15b = -45
   3*(2a - 5b = -16) = 6a - 15b = -48
       Then add the equations 25a + 15b = -45
   6a - 15b = -48
   =
   31a = -93
   a = -3
       And then plug in the discovered value of a into one of the original equations and solve for b.</span>
5 0
3 years ago
Is 593÷6 is a little less than 10 a little more than 10 a little less than 100 a little more than 100 explain
DerKrebs [107]
Since 600 ÷ 6 = 100 and 593 is less than 6, 593 ÷ 6 is a little less than 100.

Hope this helps!
4 0
3 years ago
How do you write 9.58 as a mixed number
kodGreya [7K]
9 58/100 in mixed number form
8 0
3 years ago
Read 2 more answers
A researcher was interested in comparing the salaries of female and male employees of a particular company. independent random s
Aneli [31]

Answer:

Based on  given data, we can say with 95% confidence that the female employees at this company average between $110 less and $10 less per week than the male employees.

Step-by-step explanation:

Sample 1 for female

Sample 2 for male

Confidence = 90%

Difference in mean weekly salary of all female employees and the mean weekly salary of all male employees  = µ₁- µ₂

So based on above given data, we can say with 95% confidence that the female employees at this company average between $110 less and $10 less per week than the male employees.

5 0
3 years ago
Which are the solutions of the quadratic equation x2 =-5-3
alexdok [17]

Answer: x = 2 • ± √2 = ± 2.8284

Step-by-step explanation:

Theory : A difference of two perfect squares,  A2 - B2  can be factored into  (A+B) • (A-B)

Proof :  (A+B) • (A-B) =

        A2 - AB + BA - B2 =

        A2 - AB + AB - B2 =  

        A2 - B2

Note :  AB = BA is the commutative property of multiplication.  

Note :  - AB + AB equals zero and is therefore eliminated from the expression.

Check : 8 is not a square !!  

Ruling : Binomial can not be factored as the difference of two perfect squares.

Equation at the end of step  1  :

 x2 - 8  = 0  

Step  2  :

Solving a Single Variable Equation :

2.1      Solve  :    x2-8 = 0  

Add  8  to both sides of the equation :  

                     x2 = 8  

 

When two things are equal, their square roots are equal. Taking the square root of the two sides of the equation we get:  

                     x  =  ± √ 8  

Can  √ 8 be simplified ?

Yes!   The prime factorization of  8   is

  2•2•2  

To be able to remove something from under the radical, there have to be  2  instances of it (because we are taking a square i.e. second root).

√ 8   =  √ 2•2•2   =

               ±  2 • √ 2  

The equation has two real solutions  

These solutions are  x = 2 • ± √2 = ± 2.8284  

 

Two solutions were found :

                  x = 2 • ± √2 = ± 2.8284

Not sure what you need help with, but I hope I helped you somehow.

5 0
3 years ago
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