MULTIPLICATION & DIVISIONEncircle the statement that gives the
greater product.
1. 29 x 8 92x3
2. 54 x 17 45 x 71

Yall i need it 20pts

Answer:

He bought 13 pkgs of gum

He bought 12 mints

He bought 4 candy bars

Step-by-step explanation:

Let +a+ = number of packages of gum Terry bought

Let +b+ = number of mints

Let +c+ = number of candy bars

------------------------------

(1) +a+=+b+%2B+1+

(2) +b+=+3c+

(3) +24a+%2B+10b+%2B+35c+=+572+ ( in cents )

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There are 3 equations and 3 unknowns, so it's solvable

(2) +c+=+b%2F3+

Substitute (2) into (3)

(3) +24a+%2B+10b+%2B+35%2A%28+b%2F3%29+=+572+

Substitute (1) into (3)

(3) +24%2A%28+b+%2B+1+%29+%2B+10b+%2B+35%2A%28+b%2F3+%29+=+572+

(3) +24b+%2B+24+%2B+10b+%2B+%2835%2F3%29%2Ab+=+572+

Multiply both sides by +3+

(3) +3%2A34b+%2B+3%2A24+%2B+35b+=+3%2A572+

(3) +102b+%2B+72+%2B+35b+=+1716+

(3) +137b+=+1644+

(3) +b+=+12+

and

(1) +a+=+b+%2B+1+

(1) +a+=+12+%2B+1+

(1) +a+=+13+

and

(2) +c+=+b%2F3+

(2) +c+=+12%2F3+

(2) +c+=+4+

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He bought 13 pkgs of gum

He bought 12 mints

He bought 4 candy bars

-----------------------

check:

(3) +24a+%2B+10b+%2B+35c+=+572+ ( in cents )

(3) +24%2A13+%2B+10%2A12+%2B+35%2A4+=+572+

(3) +312+%2B+120+%2B+140+=+572+

(3) +572+=+572+

OK

The all other 3 factors of the equation  x⁴ + 2x³ − 7x² − 8x + 12 will b e(x + 2),(x - 1) and (x + 3).

What are the roots of an equation?

Roots of an equation are the solution of that equation since an equation consists of hidden values of the variable to determine them by different processes and then the resultant is called roots.

For example root of x -4 = 0 is x = 4 so 4 will be the only root of this linear equation.

Given the equation,

x⁴ + 2x³ − 7x² − 8x + 12

If (x - 2) is a factor of the equation then it should be divisible by it.

So,

(x⁴ + 2x³ − 7x² − 8x + 12) / (x - 2) = (x³ + 4x² + x - 6)

Now divide by (x - 1) of  (x³ + 4x² + x - 6)

(x³ + 4x² + x - 6) / (x - 1) = x² + 5x + 6

So,

⇒ (x - 2)(x - 1)(x² + 5x + 6)

⇒  (x - 2)(x - 1)( x² + 2x + 3x + 6)

⇒   (x - 2)(x - 1)[ x(x + 2) + 3(x + 2) ]

⇒  (x - 2)(x - 1)(x + 2)(x + 3)

Hence "The all other 3 factors of the equation  x⁴ + 2x³ − 7x² − 8x + 12 will b e(x + 2),(x - 1) and (x + 3)".

To learn more about the roots of an equation,

brainly.com/question/12029673

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Answer:

Step-by-step explanation:

The given equation is:

Now, (x-2) is a factor of the given equation, therefore

Therefore, the other factors are (x-1), (x+2) and (x+3).

Let x represent the number of quick washes and let y represent the number of premium washes.

1. One quick wash costs $5, then x quick washes cost $5x.

One premium wash cost $8, then y premium washes cost $8y.

They made $775 from a combination of quick and premium washes, then in total they made $(5x+8y) that is $775. The first equation is

5x+8y=775.

2. They had washed 125 cars, x cars by quick wash and y cars by premium wash, that is x+y in total. Then tha second equation is

x+y=125.

Only option A represents the situation.