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2 years ago

What is the greatest common factor of 16x4y3 and 12x2y7?

Mathematics

1 answer:

Marta_Voda [28]2 years ago

4 0

The greatest common factor, or GCF, is the greatest factor that divides two numbers. To find the GCF of two expression

1. List the prime factors of each number.

2. Multiply those factors both numbers have in common. If there are no common prime factors, the GCF is 1.

16x^4y^3 = ( 4*4)(x*x*x*x)(y*y*y)

12x^2y^7 = (4*3)(x*x)(y*y*y*y*y*y*y)

So common to them is 4x^2y^3

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An electronics company sells computer monitors

Shtirlitz [24]

Answer:

The company increases the screen size by 1

inches every year.

Step-by-step explanation:

Yan po yung true answee

7 0

1 year ago

Read 2 more answers

Venetta buys 2 pounds of pistachios and 3 pounds of almonds. The pistachios cost $4 more per pound than the almonds. She pays a

viktelen [127]

Answer:

A. One pound of pistachios plus 1 pound of almonds cost $20

C. Reducing the number of pounds of almonds by 1 results in a total cost of $40.

E. The cost p, in dollars, of 1 pound of pistachios is modeled by 2p + 3(p – 4) = 48.

Step-by-step explanation:

Let

x ----> the cost of one pound pistachios

y ----> the cost of one pound of almonds

we know that

x=y+4 -----> equation A

2x+3y=48 -----> equation B

substitute equation A in equation B and solve for y

2(y+4)+3y=48

2y+8+3y=48

5y=48-8

y=8

Find the value of x

x=8+4 =12

therefore

The cost of one pound pistachios is $12 and the cost of one pound of almonds is $8

Verify all statements

case A) One pound of pistachios plus 1 pound of almonds cost $20.

Is True

x+y=$12+$8=$20

case B) The pistachios cost twice as much per pound as the almonds

Is false

Because

2y=2(8)=$16

$16≠$12

case C) Reducing the number of pounds of almonds by 1 results in a total cost of $40

Is True

Because

2x+2y=2(12)+2(8)=$40

case D) The cost a, in dollars, of 1 pound of almonds is modeled by 2(a – 4) + 3a = 48.

Is false

The equation will be

2(a + 4) + 3a = 48.

case E) The cost p, in dollars, of 1 pound of pistachios is modeled by 2p + 3(p – 4) = 48

Is true

Because

p=a+4

Solve for a

a=p-4

8 0

2 years ago

A child is hopping along a sidewalk. The ratio below shows the comparison between the number of hops and the distance traveled.

blagie [28]

Answer:

Find the ratio of hops to distance traveled (1: 1.5), then multiply 150 by 1.5.

Step-by-step explanation:

A child is hopping along a sidewalk. The ratio table below shows the comparison between the number of hops and the distance traveled. Hopping Number of hops Distance traveled (ft) 20 30 50 75 80 120 150 ?

Which statement correctly explains how to find the distance traveled after 150 hops? Subtract 120 – 75 to get 45, then add that number to 120. Add 30 + 75 + 120. Find the ratio of hops to distance traveled (1:1.5), then multiply 150 by 1.5. Find the ratio of hops to distance traveled (1:1.5), then divide 150 by 1.5.

Solution:

The table is:

No. of hops Distance traveled

20 30

50 75

80 120

150 ?

From the table, for every 30 increase in the number of hops, the distance travelled increase by 45 feet

Find the slope of the line:

m = (y2-y1) / (x2-x1)

m=slope of the line

y2-y1 = change in distance travelled

x-2 - x1 = Change in number of hops

m = (y2-y1) / (x2-x1)

m = (75-30) / (50-20)

=45 / 30

m = 1.5

Then, the line is:

y = 1.5x

We substitute x = 150

y = 1.5x

y = 1.5 × 150

y = 225

7 0

2 years ago

Part A: Maci made $170 grooming dogs one day with her mobile dog grooming business. She charges $60 per appointment and earned $

Anastaziya [24]

Answer:

A. 60a + 50 = 170

B. (75 - 10)a + 35 = 210

C. Part B had to pay a rental fee of $10 per appointment

Hope this helps:)

Brainly Plz

8 0

1 year ago

Ashley plants a tree 45cm tall it grows by 10 cm each year. Find the amount ashley gets in the 5th year?

Genrish500 [490]

Answer:

95cm

Step-by-step explanation:

45cm is the initial height

each year grow 10cm

growing time 5 years

45+(10 × 5)=95 cm

4 0

2 years ago