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Daniel [21]
3 years ago
10

Write the equation in standard form using integers y=4x+5

Mathematics
1 answer:
Taya2010 [7]3 years ago
7 0
Unsure of what y ou want!  y = 4x + 5 is already in slope-intercept form.  If you want "standard form," which looks like Ax + By + C = 0, then identify A, B and C from the given equation y=4x+5.    Rewrite this as -4x + 1y - 5 = 0, so that A=-4, B=1 and C= -5.  This is the eqn in standard form.

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Divide the following quantiles in the given ratio £100 1:3 £80 3:5 £250 2:3:5
goblinko [34]

Answer:

Step-by-step explanation:

a.

£100

1:3

1+3=4

1/4×£100

=£25

3/4×£100

=£75

b.

£80

3:5

3+5=8

3/8×£80

=£30

5/8×£80

=£50

C.

£250

2:3:5

2+3+5=10

2/10×£250

=£50

3/10×£250

=£75

5/10×£250

=£125

6 0
3 years ago
Alex and hope were trying to solve -6x > 24. Whose inequality shows the solution? Show your work.
SashulF [63]

Answer:

x>-4

Step-by-step explanation:

divide both sides by -6 without changing the sign

8 0
3 years ago
You are in charge of planning a reunion party for your high school alumni. The food will cost $12 per person. The rental fee for
castortr0y [4]

Answer:

$3820 total, $32 per alumnus.

Step-by-step explanation:

The total cost will be 12\times120+650+730+1000=3820

Each alumnus pays \frac{3820}{120} =31\frac{5}{6}

Rounding to nearest whole number = $32 per alumnus.

5 0
2 years ago
The odds of winning a rifle are 1:9 the probability of winning a carnival game is 0.15 does the raffle or the carnival game give
Lilit [14]

Answer:

Hence the carnival game gives you better chance of winning.

Step-by-step explanation:

Let the event of win be given by 1/10 in the game of rifle then the event of loose is given by 9/10

the

Odds in favor of a game are given by  = P(Event)/ 1- P(Event)

Odds in favor of winning a rifle are given by = 1/10/ 1- 1/10

                                                                         =1/10/9/10

                                                                          =1/9

                                                                             = 0.111

The probability of winning aa rifle game is 0.111

The probability of winning the carnival game is 0.15

Comparing the two probabilities   0.111:0.15

The probability of  winning carnival game is greater than winning a rifle game

0.15>0.11

Hence the carnival game gives you better chance of winning.

3 0
2 years ago
A rectangular poster is to contain 882 square inches of print. The margins at the top and bottom of the poster are to be 2 inche
Zinaida [17]

Answer:

L  =  23 in

h  = 46  in

Step-by-step explanation:

Let call  " x "  and  " y "  dimensions of the print area of the poster then:

882 = x*y  and   y = 882/x

We also know that dimensions of the poster is:

L  =  x + 2   in  and     h  =  y + 4 in

Therefore area of the poster is:

A(p)  = ( x + 2 ) * ( y + 4 )  And area as function of x is:

A(x)  =   ( x + 2 ) * ( 882/x + 4 )

A(x)  =  882 + 4*x + 1764 /x  + 8

Taking derivatives on both sides of the equation we have:

A´(x)  =  4  - 1764/x²

A´(x)  = 0      ⇒      4  - 1764/x² = 0      ⇒ 4*x² - 1764  =  0

x²  =  1764 / 4

x²  = 441

x  = 21 in      and    y  =  882/x         y  = 42

The second derivative  A´´(x)  is > 0  ( the second term changes its sign to +) there is a minimum for the function at the point      x = 21

As x   and  y are dimensions of the printing area of the poster, dimensions of the poster  are

L  = x  +  2   =   21  + 2  =  23 in   and

h = y  +  4   =   42  + 4  =  46  in

4 0
3 years ago
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