All categories

3 years ago

In a study, 8 people ate a total of 1,312 pounds of potatoes in 2 years.

Mathematics

1 answer:

cricket20 [7]3 years ago

5 0

Answer:

83.125 pounds of potatoes

Step-by-step explanation:

1. Divide 1,312 by 2

1,312/2 = 665

This means that in 1 year 8 people ate 665 pounds of potatoes.

2. Divide 665 by 8

665/8 = 83.125

This means that in 1 year 1 person ate 83.125 pounds of potatoes.

You might be interested in

Ruth found 37 tickets for $7. Please help Ruth by figuring out the ratio. (round to 2 decimal places)

Amanda [17]

Answer:

Ratio of ticket to its price is 1 : 0.189.

Step-by-step explanation:

Here, the cost of 37 tickets = $7

Let us find the unit cost of the ticket.

$\textrm{Unit Price } = \frac{\textrm{Total Price of n units}}{\textrm{n}}$

$\implies U = \frac{7}{37}=0.189$

So, the unit price of each ticket = $0.189

Now, ratio of Each Ticket: Unit Price = 1 : 0.189

Hence, the ratio of ticket to its price is 1 : 0.189.

3 0

2 years ago

What is the realationship between the area of the scales ⚖️ used in pictures ?

dlinn [17]

<h2>Explanation:</h2>

As I understand, you need to know the relationship between the area of similar figures. Two shapes are similar if we can turn one into the other by moving, rotating, flipping, or scaling, so this means we can make one shape bigger or smaller.

From math, if we call $k$ the scaling factor, then the area of one figure ( $A_{1}$ ) divided by the area of another similar figure ( $A_{2}$ ) will be equal to the scaling factor squared. In other words:

$\frac{A_{1}}{A_{2}}=k^2$

3 0

3 years ago

Find the perimeter and the area of the polygon with the vertices: (-1, -2), (-6, -2), (-6, -8), (-1, -8)

Irina-Kira [14]

Answer:

a) The perimeter of the rectangle =

= 22 units

b) The area of the rectangle

= 30 square units

Step-by-step explanation:

We solve the above question using the formula

= √(x2 - x1)² + (y2 - y1)²

When we are given vertices (x1, y1) and (x2, y2)

The vertices: (-1, -2), (-6, -2), (-6, -8), (-1, -8)

We have to find the length of the sides

Side A

(-1, -2), (-6, -2)

= √(-6 - (-1))² +( -2 -(-2))²

= √-5² + 0²

= √25

= 5 units

Side B

(-6, -2), (-6, -8)

= √(-6 - (-6))² + (-8 - (-2))²

= √(-6 +6)² + (-8 +2)²

= √0² + -6²

= √36

= 6 units

Side C

(-6, -8), (-1, -8)

= √(-1 - (-6))² +(-8 - (-8))²

= √(-1 + 6)² + (-8 + 8)²

=√ 5² + 0²

= √25

= 5 units

Side D

(-1, -2), (-1, -8)

= √(-1 -(-1))² + (-8 - (-2))²

= √(-1 + 1)² + ( -8 + 2)²

= √0 + -6²

= √0 + 36

= √36

= 6 units

From the above calculation,

Side A = Side C = 5 units

Side B = Side D = 6 units

Hence, this polygon is a quadrilateral called the RECTANGLE.

Therefore:

a) The perimeter of the rectangle =

2L + 2W

= 2(5) + 2(6)

= 10 units + 12 units

= 22 units

b) The area of the rectangle

= Length × Width

= 5 units × 6 units

= 30 square units

4 0

2 years ago

Find each difference and show work please !!

Ede4ka [16]

Answer:

X-19

Step-by-step explanation:

First you need to distribute the three into the numbers in the parenthesis,

(3 * x) + (3 * -5) - (2x + 4)

That then turns into,

3x - 15 - (2x + 4)

but we aren't done distributing yet, because the second set of parenthesis has a negative sign in front of it we also have to distribute that. (this is because the negative sign is really just -1)

3x - 15 + (-1 * 2x) + (-1 * 4)

that turns into,

3x - 15 - 2x -4

from here all we have to do is add like terms,

(3x - 2x) + (-15 + -4)

and that leaves us with: 1x -19 or x-19

Hope that helped :))

4 0

1 year ago

Trevor has $9100 in an investment account. He withdrew all of his money from the account. He spent $1100 on a plane ticket to Pa

Ilya [14]

Answer:

$6,400

Step-by-step explanation:

9100-1100

8000

8000×1/5

$1600

8000-1600

$6,400

3 0

2 years ago