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Andrew [12]
3 years ago
14

Topic integers please solve this question urgent

Mathematics
1 answer:
miskamm [114]3 years ago
7 0

Given:

i) 3, -5, -2, 1

ii) -1, -8, -7, -2

iii) -2, -4, 0, 2

To find:

increasing order of the given numbers.

Solution:

Increasing order: We need to start from the smallest number, then write larger number and end with the largest number.

We know that all negative numbers are less than the positive numbers and larger negative value is always the smaller one.

For example: -3 is less than -1.

i) We have,

3, -5, -2, 1

So, the increasing order of these number is -5, -3, -2, 1.

ii) We have,

-1, -8, -7, -2

So, the increasing order of these number is -8, -7, -2, -1.

iii) We have,

-2, -4, 0, 2

So, the increasing order of these number is -4, -2, 0, 2.

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Felix says that 2,000 + 400 + 70 is another way to write 2,407. What is Felix’s error
Umnica [9.8K]

2,000 + 400 + 70 would equal 2,470.

The correct way to write it would be 2,000 + 400 + 7

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3 years ago
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Use the following to answer questions 7-9:
seropon [69]

Answer:the third one .38x+2.59

Step-by-step explanation:

No amount of donuts yet so that’s why it’s x and there’s a regular fee of 2.59 so that’s why it’s the answer

7 0
3 years ago
Select the property of equality used to arrive at the conclusion. If x = 4, then 5x = 20 the addition property of equality the m
shtirl [24]

Answer:

The Division Property of Equality

Step-by-step explanation:

<u>The Addition Property of Equality:</u> When you add something to one side of the equation, you must add the same thing to the other side.

<u>The Subtraction Property of Equality:</u> When you subtract something from one side of the equation, you must subtract the same thing from the other side.

<u>The Multiplication Property of Equality:</u> When you multiply something to one side of the equation, you must multiply the same thing to the other side.

<u>The Division Property of Equality:</u> When you divide something from one side of the equation, you must divide the same thing from the other side.

In this case, you have to divide both sides of the equation by 5 to get x = 4. That means that the division property of equality was used.

I hope this helps! Have a great day!

8 0
3 years ago
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A rectangular swimming pool is bordered by a concrete patio. the width of the patio is the same on every side. the area of the s
andre [41]
Answer:

x = \frac{1}{4}\left(-(l + w) + \sqrt{l^2 + 6lw + w^2} \right)

where

l = length of the pool (w/o the patio)
w = width of the pool (w/o the patio)

Explanation: 

Let 

x = width of the patio
l = length of the pool (w/o the patio)
w = width of the pool (w/o the patio)

Since the pool is bordered by a complete patio, 

Length of the pool (with the patio) 
= (length of the pool (w/o the patio)) + 2*(width of the patio)
Length of the pool (with the patio) = l + 2x

Width of the pool (with the patio) 
= (width of the pool (w/o the patio)) + 2*(width of the patio)
Width of the pool (with the patio) = w + 2x

Note that

Area of the pool (w/o the patio)
=  (length of the pool (w/o the patio))(width of the pool (w/o the patio))
Area of the pool (w/o the patio) = lw

Area of the pool (with the patio)
= (length of the pool (w/o the patio))(width of the pool (w/o the patio))
= (l + 2x)(w + 2x)
= w(l + 2x) + 2x(l + 2x)
= lw + 2xw + 2xl + 4x²
Area of the pool (with the patio) = 4x² + 2x(l + w) + lw

Area of the patio
= (Area of the pool (with the patio)) - (Area of the pool (w/o the patio))
= (4x² + 2x(l + w) + lw) - lw
Area of the patio = 4x² + 2x(l + w)

Since the area of the patio is equal to the area of the surface of the pool, the area of the patio is equal to the area of the pool without the patio. In terms of the equation,

Area of the patio = Area of the pool (w/o the patio)
4x² + 2x(l + w) = lw
4x² + 2x(l + w) - lw = 0    (1)

Let 

a = numerical coefficient of x² = 4
b = numerical coefficient of x = 2(l + w)
c = constant term = -lw

Then using quadratic formula, the roots of the equation 4x² + 2x(l + w) - lw = 0 is given by

x = \frac{-b \pm  \sqrt{b^2 - 4ac}}{2a}&#10;\\ = \frac{-2(l + w) \pm  \sqrt{(2(l + w))^2 - 4(4)(-lw)}}{2(4)} &#10;\\ = \frac{-2(l + w) \pm  \sqrt{(4(l + w)^2) + 16lw}}{8} &#10;\\ = \frac{-2(l + w) \pm  \sqrt{(4(l^2 + 2lw + w^2) + 4(4lw)}}{8}&#10;\\ = \frac{-2(l + w) \pm  \sqrt{(4(l^2 + 2lw + w^2 + 4lw)}}{8}&#10;\\ = \frac{-2(l + w) \pm  \sqrt{(4(l^2 + 6lw + w^2)}}{8}
= \frac{-2(l + w) \pm 2\sqrt{l^2 + 6lw + w^2}}{8} \\= \frac{2}{8}(-(l + w) \pm \sqrt{l^2 + 6lw + w^2}) \\x = \frac{1}{4}(-(l + w) \pm \sqrt{l^2 + 6lw + w^2}) \\\boxed{x = \frac{1}{4}\left(-(l + w) + \sqrt{l^2 + 6lw + w^2} \right) \text{ or }}&#10;\\\boxed{x = -\frac{1}{4}\left((l + w) + \sqrt{l^2 + 6lw + w^2} \right)}


Since (l + w) + \sqrt{l^2 + 6lw + w^2} \ \textgreater \  0, -\frac{1}{4}\left((l + w) + \sqrt{l^2 + 6lw + w^2}\right) is negative. Since x represents the patio width, x cannot be negative. Hence, the patio width is given by 

\boxed{x = \frac{1}{4}\left(-(l + w) + \sqrt{l^2 + 6lw + w^2} \right)}




7 0
3 years ago
Quadrilateral MNOP is a rhombus. If the measure of Angle PON = 124, find the measure of Angle POM.
Degger [83]
In a parallelogram, two angles are equal and another two angles are equal. The total amount of angles is 360.124 * 2 = 248. 112 / 2 is 56. The answer is 56.
8 0
3 years ago
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