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Sedbober [7]
3 years ago
11

Dwayne bought 3 yards of wrapping paper how many inches is that?​

Mathematics
1 answer:
VladimirAG [237]3 years ago
6 0
108 in is what he purchased
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A textbook is opened and the product of the page numbers of the pages is 6162. What are the numbers of the pages?
ss7ja [257]

Answer:

The two page numbers are 78 and 79.

Step-by-step explanation:

Let's take the page numbers are x and x + 1 .

The produce of the page numbers is 6162

so, x(x + 1) = 6162

x^{2} + x -6162 = 0

Here we have to use the quadratic formula to solve for x.

The quadratic formula, x = \frac{-b +/- \sqrt{b^2 - 4ac} }{2a}

Here a =1, b = 1 and c = -6162

Plugging in the value of a, b and c in the above formula, we get

x = [-1 ± 157] ÷ 2

Let's take the positive value alone since the page number cannot be negative.

x = [-1 + 157] ÷2

x = 78

The next page number x + 1 = 78 + 1 = 79

Therefore,  the two page numbers are 78 and 79.

6 0
3 years ago
a mail distribution center processes as many as 180 000 pieces of mail each day. the mail is sent via ground and air. each land
Kamila [148]
X - the number of loads by land carriers,
y - the number of loads by air carriers;
The system of inequalities:
x + y ≤ 150
2,000 x + 1,250 y ≤ 180,000
8 0
3 years ago
Read 2 more answers
What is the volume of the composite figure? (Round to the nearest hundredth. Use 3.14 for x.)
marshall27 [118]

The volume of the composite figure is the third option 385.17 cubic centimeters.

Step-by-step explanation:

Step 1:

The composite figure consists of a cone and a half-sphere on top.

We will have to calculate the volumes of the cone and the half-sphere separately and then add them to obtain the total volume.

Step 2:

The volume of a cone is determined by multiplying \frac{1}{3} with π, the square of the radius (r²) and height (h). Here we substitute π as 3.1415.

The radius is 4 cm and the height is 15 cm.

The volume of the cone :

V = \frac{1}{3} \pi r^{2} h = \frac{1}{3} (3.1415)(4^{2} )(15) = 251.32 cubic cm.

Step 3:

The area of a half-sphere is half of a full sphere.

The volume of a sphere is given by multiplying \frac{4}{3} with π and the cube of the radius (r³).

Here the radius is 4 cm. We take π as 3.1415.

The volume of a full sphere \frac{4}{3} \pi r^{3} = \frac{4}{3} (3.1415) (4^{3}) = 268.07 cubic cm.

The volume of the half-sphere =\frac{1}{2} (268.07) = 134.037 cubic cm.

Step 4:

The total volume = The volume of the cone + The volume of the half sphere,

The total volume 251.32+134.037 = 385.357 cub cm. This is closest to the third option 385.17 cubic centimeters.

5 0
3 years ago
Look at the following sum. 1 + 1⁄2 + 1⁄4 + 1⁄8 + 1⁄16 + 1⁄32 + 1⁄64. . .
bija089 [108]
1.96875
that is the correct answer

3 0
3 years ago
Read 2 more answers
Find the solution to this equation 2(x + 12) - 2x = 3(x - 2)
Wewaii [24]

Answer:

it equals x=10 so i guess it's B

Step-by-step explanation:

6 0
3 years ago
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