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n200080 [17]
3 years ago
14

Select the circumference and area for the circle to the nearest hundredth. A circle has a diameter of 22 in.

Mathematics
1 answer:
Ugo [173]3 years ago
7 0

To solve for the circumference, just multiply the diameter times pi:

22\pi

The area of a circle is equal to the radius squared times pi. In this case, we need to solve for the radius, which is half of the diameter.

1. Half of 22 is 11

2. 11 * 11 = 121

area = 121\pi

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A store is having a sale on walnuts and chocolate chips. For 3 pounds of walnuts and 2 pounds of chocolate chips, the total cost
Lena [83]

Answer:

$9.75

Step-by-step explanation:

A store is having a sale on walnuts and chocolate chips. For 3 pounds of walnuts and 5 pounds of chocolate chips, the total cost is $16. For 6 pounds of walnuts and 2 pounds of chocolate chips, the total cost is $22

. Find the cost for each pound of walnuts and each pound of chocolate chips.

***

let x=cost/lb of walnuts

let y=cost/lb of chocolate chips

..

3x+5y=16

6x+2y=22

 

..

6x+10y=32 (mult. eq by 2)

6x+2y=22

subtract:

8y=10

y=10/8=1.25

x=16-5y=9.75

cost/lb of walnuts=$1.25

cost/lb of chocolate chips=$9.75

7 0
3 years ago
6(m-3)÷4)-5<br>greater than<br>2(4m-8)+12
ziro4ka [17]
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4 years ago
The length is 3 inches more than the width period the width is 2 inches more than the height. The volume is 120 in.³. What is th
Debora [2.8K]

Answer:

the dimension of the box is : 8 by 5 by 3

Length = 8

Width = 5

Height = 3

Step-by-step explanation:

Let x,y and z represent the length, width and height of the box.

Given;

The length is 3 inches more than the width

x = y+3 .......1

the width is 2 inches more than the height

y = z + 2

z = y-2 .........2

Volume = length×width×height = xyz = 120 in^3

xyz = 120 ........3

Substituting equation 1 and 2 into 3

(y+3)×y ×(y-2) = 120

y(y^2+y-6) = 120

y^3 + y^2 - 6y - 120 = 0

Solving the polynomial equation we have;

y = 5

From equation 1;

x = y+3 = 5+3

x = 8

From equation 2;

z = y-2 = 5-2

z = 3

Therefore, the dimension of the box is

8 by 5 by 3

Length = 8

Width = 5

Height = 3

4 0
3 years ago
22 - 3 × 6 + 5^2<br> A.<br> 38<br> B.<br> 139<br> C.<br> 29<br> D.<br> 65
baherus [9]

Answer:

C. 29

Step-by-step explanation:

  • 22 - 3 × 6 + 25
  • 22 - 18 + 25
  • 4 + 25
  • 29
6 0
3 years ago
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