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12345 [234]
3 years ago
14

The Herms family takes their sailboat to an island in a nearby lake for a picnic. The island is 12 miles from shore. The boat sa

ils to the island at 4 miles per hour and then back to shore at 6 miles per hour because of a stronger wind. How much longer did it take to get to the island?
Mathematics
1 answer:
aleksandrvk [35]3 years ago
3 0

Answer:

It took 2 hours longer

Step-by-step explanation:

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You are looking for a new cell phone plan. The first company, Cellular-Tastic (f), charges a monthly fee of $35 and $0.11 per mi
Bingel [31]

Answer:

A. 200 minutes

Step-by-step explanation:

4 0
3 years ago
Two parts Someone please help!!!!!
aivan3 [116]

Answer:

Part one: The function rule for the area of the rectangle is A(x) = 3x² - 2x

Part two: The area of the rectangle is 8 feet² when its width is 2 feet

Step-by-step explanation:

Assume that the width of the rectangle is x

∵ The width of the rectangle = x feet

∵ The length of the rectangle is 2 ft less than three times its width

→ That means multiply the width by 3, then subtract 2 from the product

∴ The length of the rectangle = 3(x) - 2

∴ The length of the rectangle = (3x - 2) feet

∵ The area of the rectangle = length × width

∴ A(x) = (3x - 2) × x

→ Multiply each term in the bracket by x

∵ A(x) = x(3x) - x(2)

∴ A(x) = 3x² - 2x

∴ The function rule for the area of the rectangle is A(x) = 3x² - 2x

∵ The rectangle has a width of 2 ft

∵ The width = x

∴ x = 2

→ Substitute x by 2 in A(x)

∵ A(2) = 3(2)² - 2(2)

∴ A(2) = 3(4) - 4

∴ A(2) = 12 - 4

∴ A(2) = 8

∴ The area of the rectangle is 8 feet² when its width is 2 feet

5 0
3 years ago
The two cones below are similar. What is the height of the smaller cone?
Ugo [173]
Given that the two cone are similar, then
3/7 = x/5
7x = 15
x = 15/7
6 0
3 years ago
Read 2 more answers
Factor the expression completely.
densk [106]

Answer:

\fbox{\begin{minipage}{13em}Option D: 2(3x + 4)(3x - 4)\end{minipage}}

Step-by-step explanation:

      A = 18x^{2}  - 32\\

Find the sharing components:

<=> A=2*9*x^{2} - 2*16

Apply the inverse of associative property:

<=> A = 2(9x^{2} - 16)

Identify two square components inside the parenthesis:

<=> A = 2((3x)^{2} - 4^{2} )

Factorize:

<=> A = 2(3x + 4)(3x - 4)

=> Option D is correct

Hope this helps!

:)

3 0
4 years ago
The radius of a cylindrical box is (2x+3) inches. Height of the gift box is 3 times the radius. What is the surface area of cyli
GarryVolchara [31]

<em><u>The surface area of cylinder in standard form is:</u></em>

A = 100.48x^2+301.44x + 226.08

<em><u>Solution:</u></em>

Given that,

Radius of cylinder = 2x + 3 inches

Height of cylinder = 3 times radius = 3(2x + 3)

Height of cylinder = 6x + 9 inches

<em><u>The surface area of cylinder is given by formula:</u></em>

A=2 \pi rh+2 \pi r^2\\\\A = 2 \pi r(h+r)

Where, "r" is the radius and "h" is the height of cylinder

<em><u>Substituting the given values we get,</u></em>

A = (2 \times 3.14 \times (2x+3))(6x + 9 + 2x + 3)\\\\A = (6.28 \times (2x+3))(8x + 12)\\\\A = (12.56x + 18.84)(8x+12)\\\\On\ simplifying\ we\ get\\\\\ A = 100.48x^2 +150.72x+150.72x + 226.08\\\\A = 100.48x^2 + 301.44x+226.08

Thus the surface area of cylinder in standard form is found

3 0
3 years ago
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