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docker41 [41]
3 years ago
15

On one afternoon in a shoe warehouse, three large shipments of shoes arrived. The weights of the shipments were 1 ton 115 pounds

, 1,723 pounds 7 ounces, and 957 pounds 11 ounces. What was the total weight of the three shipments?
Mathematics
1 answer:
Goryan [66]3 years ago
8 0

Alright, lets get started.

The weight of first shipment = 1 ton 115 pounds

As we know, 1 ton = 2000 pounds, so

So, the weight of first shipment = 2000 + 115 = 2115 pounds

The weight of second shipment = 1723 pounds 7 ounces

The weight of third shipment = 957 pounds 11 ounces

So, adding all three weights = 2115 pounds + 1723 pounds 7 ounces + 957 pounds 11 ounces

So, all three weights = 4795 pounds 18 ounces

As we know, 16 ounces = 1 pound, so

all three weights = 4795 pound 1 pound 2 ounces

All three weights = 4796 pounds 2 ounces

4796 could be wriiten as 4000 + 796

As we know, 2000 pound = 1 ton so

All three weight = 2 tons 796 pounds 2 ounces

So, the total weight of three shipments = 2 tons 796 pounds 2 ounces   :   Answer

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If $560 is invested at an interest rate of 9% per year and is compounded continuously, how much will the investment be worth in
koban [17]

Answer:

$878.25

Step-by-step explanation:

Continuously compounded interest is:

A = Pe^(rt)

where A is the final amount, P is the initial amount, r is the interest rate, and t is the number of compoundings.

Here, P = 560, r = 0.09, and t = 5.

A = 560e^(0.09×5)

A = 878.25

5 0
3 years ago
Write the standard equation for the circle 30. Center (2,7), r=4. 31. Center (-6,-8), that passes treough (0,0)
Salsk061 [2.6K]
The standard equation of the circle is:

(x-h)^2+(y-k)^2=r^2 where (h,k) it the center of the circle and r is the radius...

so

30.

(x-2)^2+(y-7)^2=16

31.

We need to find the radius...(I'll just use the Pythagorean Theorem)

r^2=6^2+8^2

r^2=36+64

r^2=100  (so the radius is 10) and its center is (-6,-8) so

(x+6)^2+(y+8)^2=100
3 0
3 years ago
Suppose that there are two types of tickets to a show: advance and same-day. The combined cost of one advance ticket and one sam
Dvinal [7]

Answer:

Advance = $25

Same Day = $40

Step-by-step explanation:

I attached my work, hopefully it is clear. Same day tickets cost $40 and Advance tickets cost $25.

7 0
3 years ago
Please help meeeeeeeeeeeeeeeeeee
miskamm [114]

Answer:

\frac{3^{12}}{3^{10}}

Step-by-step explanation:

+ or x you plus the indices

- or divide you minus the indices

so 3^8 x 3^4 would be 3^12

and 3^2 x 3^8 would be 3 ^10

7 0
3 years ago
NEED HELP WILL GIVE BRAINLIEST
blagie [28]

Area of Circle having radius OP = 4 cm: 50.27 cm²

Area of Circle having radius AD = 1 cm: 3.14 cm²

Area of Circle having radius BC = 2 cm: 12.57 cm²

Area of the shaded region: 34.56 cm²

Circumference of the circle with center B: 12.57 cm

<h3>Area and Circumference of a Circle</h3>

Area = πr²

Circumference = 2πr, where r = radius.

Area of Circle having radius OP = 4 cm:

Area = π(4)² = 50.27 cm²

Area of Circle having radius AD = 1 cm:

Area = π(1)² = 3.14 cm²

Area of Circle having radius BC = 2 cm:

Area = π(2)² = 12.57 cm²

Area of the shaded region:

Area = 50.27 - (3.14 + 12.57)

Area = 34.56 cm²

Circumference of the circle with center B, having radius of 2 cm:

Circumference = 2π(2) = 12.57 cm

Learn more about area and circumference of circle on:

brainly.com/question/402655

4 0
3 years ago
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