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aliya0001 [1]
3 years ago
11

An __________ is a mathematical sentence in which two sides are not equal and are separated with the symbols <, >, ≥, ≤

Mathematics
2 answers:
Artist 52 [7]3 years ago
7 0

Answer: An inequality is a mathematical or arithmetic phrase that is not equal; this inequality prohibits the equal sign. Instead, inequalities are expressed with greater than (>), less than (<), equal to or greater than (≥) or equal to or less than (≤).

jekas [21]3 years ago
4 0
An inequality is a mathematical or arithmetic phrase that is not equal; this inequality prohibits the equal sign. Instead, inequalities are expressed with greater than (>), less than (<), equal to or greater than (≥) or equal to or less than (≤).
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A small resort is situated on an island that lies exactly 3 miles from P, the nearest point to the island along a perfectly stra
Artemon [7]

Answer:

The distance from the  shoreline from P the pipe from the island will reach land in order to minimize the total construction cost is 0 m, or the pipe should be routed to the point P

Step-by-step explanation:

We note that, cost to lay pipe in water = 2.3 × cost to lay pipe on land

Distance of the small resort on the island from point p on the shoreline = 3 miles

Location of the closest source of fresh water is 10 miles along the shoreline from p

∴ The small resort, the point p and the closest source of the fresh water on the shoreline together form a right triangle with sides

Height = 3 miles

Base = 10 miles and

Hypotenuse = \sqrt{3^2 + 10 ^2} = \sqrt{109} =  10.44 \, m

To find the cost of laying the pipeline by the various route, we multiply the water routes by 2.3 and the land routes by 1 and we get

Costs:

Height =  Water route = 2.3 × 3 miles = 6.9

Base = Land route = 1 × 10 miles = 10

Hypotenuse = Water route = 2.3 × 10.44 miles = 24.012

Therefore, the two routes are either

10 miles to point p and 3 miles across the water to the resort with a cost = 10 + 6.9 = 16.9 or

Directly to the small resort through 10.44 miles across the water with cost = 24.012

Therefore, to minimize cost, the pipe should come from the resort to P from there to the fresh water source.

That is the distance from the  shoreline from P the pipe from the island will reach land in order to minimize the total construction cost = 0 m.

7 0
3 years ago
Solve for all values of x by factoring.<br> x^2 + 4x – 30 = -3x
vichka [17]

Answer:

{x}^{2}  + 4x - 30 =  - 3x \\{x}^{2}  + 7x - 30 = 0 \\  {x}^{2}  - 3x + 10x - 30 = 0 \\ x(x - 3) + 10(x - 3) = 0 \\ (x - 3)(x + 10) = 0 \\  \boxed{x = 3} \\  \boxed{x =  - 10}

<h3><em><u>x=3 or x=-10</u></em> is the right answer.</h3>

7 0
2 years ago
Could someone help me ASAP, thanks !!
Rashid [163]

Answer:

I think this is the right answer but last two signs are incorrect

Hope this will help

6 0
3 years ago
Read 2 more answers
What is the estimate of the sum of 6/10 + 7/12
aleksandr82 [10.1K]
71/60.  You change the denominators(bottom numbers) to 60 because that is the smallest number that both 10 and 12 can go into. Then you just add.
8 0
3 years ago
Which order pair is a solution of this equation. 5x+y=-25
crimeas [40]

Answer:

(-5,0) or (0,-25) is another solution

Step-by-step explanation:

Do you have a list of choices? If not, you could choose random choices for x and y to determine if they are solutions. Start by letting y = 0. We see that x = -5, so (-5, 0) is a solution to this equation. In fact, it represents the x-intercept of this line. Now, let x = 0. We now see that y = -25, so (0, -25) is another solution to the equation of this line. This coordinate pair is the y-intercept of the line. Try using other values of x and y to see if you can come up with other solutions to this equation. 

7 0
3 years ago
Read 2 more answers
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