Can someone help me with these questions For the first 4 I need to write the word sentence as an equation

William has 24 cans of fruit and 60 cans of vegetables that he will be putting into bags for a food drive. He wants each bag to

nataly862011 [7]

Answer:

See explanation

Step-by-step explanation:

William has 24 cans of fruit and 60 cans of vegetables that he will be putting into bags for a food drive.

Factor number 24 and 60:

$24=2\cdot 12=2\cdot 2\cdot 6=2\cdot 2\cdot 2\cdot 3=2^3\cdot 3\\ \\60=2\cdot 30=2\cdot 2\cdot 15=2\cdot 2\cdot 3\cdot 5=2^2\cdot 3\cdot 5$

Find the greatest common factor

$GCF(24,60)=2^2\cdot 3=12$

Hence, the greatest number of bags William can make is 12.

Each of these bags will have $24\div 12=2$ cans of fruit and $60\div 12=5$ cans of vegetables.

If he made fewer bags, 6 bags, each of these bags will have $24\div 6=4$ cans of fruit and $60\div 6=10$ cans of vegetables.

If he made fewer bags, 4 bags, each of these bags will have $24\div 4=6$ cans of fruit and $60\div 4=15$ cans of vegetables.

If he made fewer bags, 3 bags, each of these bags will have $24\div 3=8$ cans of fruit and $60\div 3=20$ cans of vegetables.

If he made fewer bags, 2 bags, each of these bags will have $24\div 2=12$ cans of fruit and $60\div 2=30$ cans of vegetables.

7 0

2 years ago

Which expression is equivalent to( 9x^2+2x-7)(-4)

Masteriza [31]

Answer:

I'm pretty sure its B. (9x2+2x-7)(x)+(9x2+2x-7)(-4)

Because its just splitting up the (x-4) and if you add the answers together then you get the same answer as the original

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

Please help me . What is x equal to?

777dan777 [17]

Answer:

1. x = 2

2. x = 6

3. x = 6

4. x = 1

Step-by-step explanation: i think thats it

8 0

2 years ago

Read 2 more answers

A loan worth $1000 collects simple interest each year for 6 years. At the end of that time, a total of $1270 is paid back. Deter

Korolek [52]

Answer:

The percentage rate is 4.5%

Step-by-step explanation:

The simple interest earned in this situation is $1270 - $1000, or $270.

the simple interest formula is i =prt.

Here, i = $270 = ($1000)(r)(6 yr).

$270

Then r = ------------------- = 0.045

$1000(6 yr)

The percentage rate is 4.5%

5 0

2 years ago

What is the height, in centimeters, of a rectangular prism that is 80 centimeters wide, 40 centimeters long, and has a volume of

Rainbow [258]

Answer:

The answer to your question is the letter E. 50

Step-by-step explanation:

Data

height = ?

Width = 80 cm

Length = 40 cm

Volume = 160000 cm³

Formula

Volume of a rectangular prism = Width x length x height

Substitution

160000 = 80 x 40 x height

Solve for height

height = 160000 / 80 x 40

Simplification

height = 160000/ 3200

Result

height = 50 cm

4 0

2 years ago