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ra1l [238]
3 years ago
6

Nuts Berry Farm sells nuts for $60 for 4 pounds. Today, and just for today only,

Mathematics
1 answer:
tino4ka555 [31]3 years ago
7 0

Answer:

$10.50

Step-by-step explanation:

First, find the cost of a pound of nuts.

Divide the price by the number of pounds:

60/4

= 15

Calculate the price with the 30% discount by multiplying this by 0.7:

15(0.7)

= 10.5

So, after the discount, a pound of nuts will cost $10.50

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Heather works 40 hours a week and she earns $11.50 per hour. When Heather works over 40 hours, her pay is 1.5 times her hourly p
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2 years ago
A student multiplies (4+5i) (3-2i) incorrectly and obtains 12-10i what is the students mistakes
Rufina [12.5K]

Answer:

1. In the multiplication of the imaginary parts, the student forgot to square of i. OR

2. The student has only multiplied the real parts and the imaginary parts.

Correct value =22+7i.

Step-by-step explanation:

The given expression is

(4+5i)(3-2i)

A student multiplies (4+5i) (3-2i) incorrectly and obtains 12-10i.

Student's mistake can be either 1 or second:

1. In the multiplication of the imaginary parts, the student forgot to square of i.

2. The student has only multiplied the real parts and the imaginary parts.

(4+5i)(3-2i)=4\times 3+5\times (-2)i=12-10i

Which is not correct. The correct steps are shown below.

Using distributive property, we get

4(3-2i)+5i(3-2i)

4(3)+4(-2i)+5i(3)+5i(-2i)

12-8i+15i-10i^2

12+7i-10(-1)       [\because i^2=-1]

12+7i+10

22+7i

Therefore, the correct value of (4+5i)(3-2i) is 22+7i.

4 0
2 years ago
The perimeter of a square is 120 inches what is its area
nata0808 [166]

Answer:

A = 900in²

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A = a²

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Step-by-step explanation:

Solving for A:

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The number of cubic units in the volume of a sphere is equal to the number of square units in the surface area of the sphere. Wh
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Answer:

Radius of sphere is 3 units.

Step-by-step explanation:

Volume of sphere is given by 4/3 \pi r^3

surface area of sphere is given by 4 \pi r^2

where r is the radius of the sphere.

Given that

The number of cubic units in the volume of a sphere is equal to the number of square units in the surface area of the sphere.

we equate formula of Volume of sphere  and surface area of sphere

assuming r as the radius.

thus,

4/3 \pi r^3 = 4 \pi r^2\\\\4/3 \pi r^3/ 4 \pi r^2 = 1\\=>r/3 = 1\\=> r = 3

Thus, radius of sphere is 3 units.

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2 years ago
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