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grigory [225]
3 years ago
8

Explain why it is necessary to rename 4 1/4 if you subtract 3/4 from it?

Mathematics
2 answers:
Vinil7 [7]3 years ago
8 0
You need to rename 4 1/4 to an improper fraction when subtracting 3/4 from it because the numerator is 1 and 3 > 1 so you will have to rename it
borishaifa [10]3 years ago
8 0
Because if you take away the 4 wholes tge question would be 1/4 minus 3/4 and you cant do that
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What is the first step when rewriting y=6x^2+18x+14 in the form y=a(x-h)^2+k?
Grace [21]
<h3>Answer:</h3>

Factor 6 from the first two terms.

<h3>Step-by-step explanation:</h3>

By factoring out "a", you can better see what "h" needs to be.

  1. y = 6(x^2 +3x) +14 . . . . 6 factored from first 2 terms
  2. add the square of half the x-coefficient inside parentheses; add the opposite outside: y = 6(x^2 +3x +2.25) +14 -6(2.25)
  3. rewrite as a square; combine the constants: y = 6(x+1.5)^2 +0.5

7 0
2 years ago
(Set up and solve the system, then answer the associated question)
Dimas [21]

9514 1404 393

Answer:

  • red division: 6 teams
  • blue division: 5 teams

Step-by-step explanation:

We can let r and b represent the numbers of teams in the red and blue divisions, respectively. The total number of goals scored in each division will be the average for that division times the number of teams in that division.

  r - b = 1 . . . . . . there is 1 more red team than blue

  4.5r +4.2b = 48 . . . . . . total goals scored per week

__

Solving by substitution, we have ...

  r = b +1

  4.5(b +1) +4.2b = 48 . . . . substitute for r

  8.7b +4.5 = 48 . . . . . . . . simplify

  8.7b = 43.5 . . . . . . . . . . subtract 4.5

  b = 43.5/8.7 = 5 . . . . . divide by 8.7

  r = b +1 = 6 . . . . . . . . . find r

There are 6 red teams and 5 blue teams.

_____

<em>Additional comment</em>

The basic idea is that you make an equation for each relation given in the problem statement. For a problem like this, you do need to have an understanding of how the average number of goals would be calculated and how that relates to the total goals.

8 0
2 years ago
Please help me with this
Cerrena [4.2K]

Answer:

Yes;Each side of triangle PQR is the same length as the corresponding side of triangle STU

Step-by-step explanation:

You can observe  the sides of both triangles to see if this property holds

Lets check the length of AB

A(0,3)   and B(0,-1)

AB=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\\\\\\\AB=\sqrt{(0-0)^2+(-1-3)^2} \\\\\\\\AB=\sqrt{0^2+-4^2} \\\\\\AB=\sqrt{16} =4units

Now check the length of the corresponding side DE

D(1,2)  and E(1,-2)

DE=\sqrt{(1-1)^2+(-2-2)^2} \\\\\\DE=\sqrt{0^2+-4^2} \\\\\\DE=\sqrt{16} =4units

The side AB has the same length as side DE.This is also true for the remaining corresponding sides.

6 0
3 years ago
(ASAP) Billie &amp; Tony are siblings. It’s summer of 2015. Twice Billie’s age decreased by 3 is Tony’s age. Tony is fourteen ye
jeka94

Answer:

Billie's age = x = 17 years

Tony's age = y = 31 years

Step-by-step explanation:

Let

Billie's age = x

Tony's age = y

Twice Billie’s age decreased by 3 is Tony’s age.

y = 2x - 3..... Equation 1

Tony is fourteen years older than Billie.

x = y - 14

We substitute y - 14 for x in Equation 1

y = 2x - 3..... Equation 1

y = 2(y - 14) - 3

y = 2y - 28 - 3

y - 2y = -28 - 3

-y = -31

y = 31 years

Solving for x

x = y - 14

x = 31 - 14

x = 17 years.

Therefore:

Billie's age = x = 17 years

Tony's age = y = 31 years

4 0
2 years ago
Read 2 more answers
Help please And how would you get the answer need asap
Rashid [163]
No the 2 equations are not equal
the -1/10, -1/10 can't be subtracted from 1 3/10g
they are not like terms
the proper equation is
1/5g converts to 2/10g
2/10g - 1g + 1 3/10 g = 5/10g or 1/2g
1/2g - 2/10 is final equation
4 0
3 years ago
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