A farmer needs to pack 2,903 apples into crates to ship to supermarkets. Each crate can hold only 30 apples. How many crates does the farmer need to ship all of the apples? Explain your answer.

Answer:

Factoring the term [tex]3x^2-75[/tex] we get [tex]\mathbf{3(x+5)(x-5)}[/tex]

Step-by-step explanation:

We need to solve the polynomial: [tex]3x^2-75[/tex]

First we see that 3 is common term, so taking 3 as common

[tex]3(x^2-25)[/tex]

We know that 25 = 5x5 = 5²

So, replacing 25 with 5²

[tex]3(x^2-5^2)[/tex]

We know that, [tex]a^2-b^2=(a-b)(a+b)[/tex]

Applying this in our equation: [tex]x^2-5^2=(x+5)(x-5)[/tex]

[tex]3(x+5)(x-5)[/tex]

So, factoring the term [tex]3x^2-75[/tex] we get [tex]\mathbf{3(x+5)(x-5)}[/tex]

Answer:

the product does not exits

The product matrix is,

[tex]\left[\begin{array}{ccc}-10&-4\\13&-5\\\end{array}\right][/tex]

In mathematics, a matrix is a rectangular array or table of numbers, symbols, or expressions, arranged in rows and columns, which is used to represent a mathematical object or a property of such an object.

For example, is a matrix with two rows and three columns.

here, we have,

two matrices,

A = 2×3

and, B= 3×2,

as the no. of column of A = the no. of row of B

the can be a product matrix of order 2×2.

Now, we get,

the product matrix is,

[tex]\left[\begin{array}{ccc}-10&-4\\13&-5\\\end{array}\right][/tex]

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y =3

After you set each equation to terms where you can cancel out the x

you are left with:

14y = 42

y = 3

** sorry

Answer:

Step-by-step explanation:

2x - 5 = 15

Bringing like terms on one side

2x = 15 + 5

2x = 20

Option B is the correct answer

Answer:

b) 2x = 20

c) 2(x - 5) = 15

D) 2x - 20 = 0

Explanation

2x - 5 = 15

2x = 15 + 5

2x = 20

x= 20/2

x= 10

a) 2x = 10

x= 10/2

x= 5 (which is not correct)

b) 2x = 20

x= 20/2

x = 10 (which is correct )

c) 2(x- 5) = 15

2x - 10 = 15.

2x = 15 +10

2x = 20

x = 20/2

x= 10 ( which is correct)

d) 2x - 20 = 0

2x = 20

x= 20/2

x= 10 ( which is correct)

Answer:

$3,998 would be the semi monthly pay.

Answer: 0.6764705882

Step-by-step explanation:

Answer:

128÷ 36=92

92÷ 4=23

y=23

Answer:

Number of tickets sold: 372

Number of people each night: 124

Answer:

Number of tickets sold:

372

Number of people in the audience each night:

Roughly 124 per night

Answer:

(x + 8) × 4 = 21 × 4

Explanation:

x + 8 = 21

21 - 8 = 13

(13 + 8) × 4 = 21 × 4

21 × 4 = 21 × 4

84 = 21 × 4

84 = 84

Answer:

-30

Step-by-step explanation:

Answer:

its actually -100 in khan academy

Step-by-step explanation:

Answer:In a question like this, you are trying to find the Highest Common Denominator, or HCF. This can be done manually, by finding all the factors of 42

(

1

,

2

,

3

,

6

,

7

,

14

,

21

,

42

)

, all the factors of 72

(

1

,

2

,

3

,

4

,

6

,

8

,

9

,

12

,

18

,

24

,

36

,

72

)

, and comparing them to see that their HCF is

6

. Or, it can be done by dividing both numbers,

=

72

42

, simplifying the fraction

=

12

7

, then dividing the starting number with the new simplifiied number, remembering always to divide numerator with numerator and denominator with denominator.

72

12

=

6

or

42

7

=

6

This process works with any two numbers which you want to find the HCF of, and can be simplified into this rule:

If

a

=

any number,

b

=

any number and

c

d

is the simplified fraction of

a

b

,

The HCF

=

a

c

or

=

b

d

I hope that helped!

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

Substitute x = - 2 into the expression, that is

(- 2)² - 7(- 2) + 10 = 4 + 14 + 10 = 28

Answer:

1: 4/16 or simplified to 1/4

2: 12/16 or simplified to 3/4

Step-by-step explanation:

Hope this helps

Answer:

x= -9

Step-by-step explanation:

Answer:

Yasmine can make 9 invitations.

Step-by-step explanation:

[tex]\frac{\frac{3}{4} }{\frac{1}{12} }=\frac{36}{4}=9[/tex]

Answer:

C.) $835.49

(For plato users)

Answer:

B

Step-by-step explanation:

we take 18.90 and subtract 2.95.

now we have 15.95

then divide 15.95 by 5

and now we have 3.19

Answer I think it’s b

Answer:

eeeeeeeeeeeeeeeeeeeeeeeeeeeee

Step-by-step explanation:

Answer:

m = (change in y) / (change in x) = 8/0:  undefined

Step-by-step explanation:

Note that the x-coordinate of both given points is the same:  -2.  This means that x does not change and also that y changes from -4 to 4.  The slope is undefined because division by zero is not defined:

m = (change in y) / (change in x) = 8/0:  undefined

Answer:

x > 20

:) hope this helps

Answer:

7 inches

Step-by-step explanation:

Answer:

-3 2/4 is greater that -3.7

Step-by-step explanation:

2/4 is 0.4 and when dealing with negatives so the lower negative is the closest to 0 so the smaller negative is the greatest.

Area of the figure

= (area of rectangle) + (area of triangle)

= (8 × 10) + (½ × 4 × 8)

= 80 + 16

= 96

Area = 96ft²

Quarts of paint needed

= 96/22

= 48/11

= 4.36

Mr. Chen will have to buy 5 quarts of paint.

Answer:

The art teacher needs 73 containers to store all the colored pencils.  

Step-by-step explanation:

1,314 colored pencils ÷ 18 pencils per container = 73 containers total

The number of containers the art teacher need to store all the colored pencils is 73.

Given that, the art teacher buys containers to store 1,314 colored pencils.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Here, each container holds 18 pencils.

Number of containers = Total number of pencils/Number of pencils in each container

= 1314/18

= 73

Therefore, the number of containers the art teacher need to store all the colored pencils is 73.

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Answer:

D none of the above becuz x=4

Answer:

D

Step-by-step explanation: