How do you compare and order real numbers

Answer:

0.05

Step-by-step explanation:

Given function:

1.00=100%=100

this means..

5 of 100=0.05.

The ending balance would be  (-8.23).

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given:

Lori had $126.89 in her bank account.

She deposited $21.49 into it and then wrote a check for her car repairs for $156.61.

After deposit her balance would be

=126.89 + 21.49

=148.38

and, the balance after paying for the repair

=148.38 - 156.61

=$ (-8.23)

Hence, the ending balance would be  (-8.23).

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Answer:

Givens:

Lest's call [tex]B[/tex] Blank Space and [tex]S[/tex] Shake it Off, the relations would be

[tex]B=12+S\\B+S=420[/tex]

Now, we replace the first equation into the second equation and solve for [tex]S[/tex]:

[tex]12+S+S=420\\2S=420-12\\2S=408\\S=\frac{408}{2}=204[/tex]

Then, we replace this value into the first equation

[tex]B=12+S\\B=12+204=216[/tex]

This means that Shake It Off is 204 seconds long and Blank Space is 216 seconds long.

[tex]204sec\frac{1min}{60sec}=3.4min=3 \ min \ and \  24 sec[/tex]

[tex]216sec\frac{1min}{60sec}=3.6 min=3 \ min \ and \ 36  sec[/tex]

6 students are there in a class.

Word problems normally include mathematical modeling questions, in which records and statistics approximately a certain system is given and a pupil is needed to broaden a model. as instance: Jane had $5.00, then spent $2.00. How lots does she have now?

In computational mathematics, word trouble is the hassle of finding out whether given expressions are equivalent with admire to a hard and fast of rewriting identities. A prototypical instance is the word problem for corporations, but there are many other instances as nicely.

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Answer:

142≤ x.

Step-by-step explanation:

Given : rectangle a perimeter of at least 300 ft and Length: 3ft  and width formula: x+5ft.

To find : Writing an inequality for x that would give this rectangle a perimeter.

Solution : We have given length = 3 ft.

Width = x + 5 ft .

Perimeter =  300 feet .

Perimeter = 2 ( length + width ) .

Plugging the values and greater than equal to sign for at least.

300 ≤ 2( 3 + x +5).

300≤ 2( 8 +x) .

300≤ 16 + 2x

On subtracting both sides by 16.

300 -16 ≤ 2x .

284 ≤ 2x.

On dividing both sides by 2.

142≤ x.

We can say x is at least 142.

Therefore, 142≤ x.

Answer: 10 in.

Step-by-step explanation:

Given : The zoom feature on a copier sets the percent size of a copy. Lebron wants to make a 200% copy of a photograph.

We can write 200% = 2 [ ∵ to convert percent into decimal or fraction we divide it by 100 and [tex]200\div100=2[/tex] ]

Since , The original photo has a width of 5 in.

Then, the width of the copy will be :-

[tex]2\times5=10\ in.[/tex]

Hence, the width of the copy will be 10 in.

Answer: [tex]629.031 \text{ square centimeters}[/tex]

Step-by-step explanation:

Given : The cover of a photo album has an area of 97.5 square inches.

It is given that 1 cm =  0.3937 inches

By unitary method , 1 inch=[tex]\dfrac{1}{0.3937}=2.54000508001\approx2.54 \text{ cm}[/tex]

Then,  97.5 square inches =[tex]97.5\times2.54\times2.54[/tex]

[tex]\\\\=629.031\approx629.031 \text{ square centimeters}[/tex]

Hence, The required answer is[tex]629.031 \text{ square centimeters}[/tex].

we know that

[tex]1\ liter=1,000\ milliliters[/tex]

so

By proportion

Find how many milliliters  are [tex]4.8\ liters[/tex]

[tex]\frac{1,000}{1} \frac{ml}{l} =\frac{x}{4.8} \frac{ml}{l} \\ \\ x=1,000*4.8\\ \\x=4,800\ ml[/tex]

therefore

the answer is

[tex]4,800\ milliliters[/tex]

Answer: The answer is D

Step-by-step explanation:

Answer:

Given,

The number of meters covered by Joshua in 1 minute = 25 meters,

So, the number of meters covered by him/her in x minutes, ( say y ) = 25x minutes,

⇒ y = 25x,

Which is the equation of line passes through origin,

If x = 1, y = 25,

If x = 2, y = 50,

So, by joining the points (1, 25) and (2,50) we will get the graph,

∵ Slope of a line y = mx + c is m,

By comparing,

The slope of the above line is 25 that shows the rate of change in meters per minute.

Note : x ≥ 0, because number of minutes can not be negative.

The cost of the advertisement per second is $213.33 to the nearest cent.

To find the cost per second of the advertisement, we need to convert the cost from dollars per minute to dollars per second. We can use dimensional analysis to do this.

First, we know that there are 60 seconds in one minute. So, we can set up a conversion factor to convert from minutes to seconds:
1 minute = 60 seconds

Next, we set up a ratio using the given cost per minute and the conversion factor:
$12,800/1 minute * 1 minute/60 seconds = $213.33/second

Therefore, the cost of the advertisement per second is $213.33 to the nearest cent.

~~~~~~~~The answer IS 12x~~~~~~~~

The number of obtuse triangles from the information will be 3.

It should be noted that an obtuse triangle is a triangle with one obtuse angle that is greater than 90° and two acute angles.

Given that, Jamel is asked to create triangles using three of four given sticks. The sticks measure 3 in., 6 in., 7 in., and 8 in. He creates these 4 triangles.

In this case, Jamel is asked to create triangles using three or four given sticks. In an obtuse triangle, the square of the third side is always greater than the sum of the two sides.

Therefore, By the given numbers there can be made 4 triangles having sides:

1) 3, 6, 7

3) 3, 7, 8

4) 3, 6, 8

Therefore, the correct option will be 3.

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The solutions are x=2 or x=1/2

Final answer:

The crane can safely lift approximately 11.33 cubic meters of gravel, taking into account the maximum load the cable can support and the mass of the bucket and gravel.

Explanation:

We need to calculate the maximum volume of gravel a crane cable can lift, given the maximum load it can support. The crane's cable can support a maximum load of 22,000 kg. Since the bucket that carries the gravel has a mass of 5,000 kg, we subtract this mass from the maximum load the cable can support to find the maximum mass of gravel that can be lifted:

22,000 kg (max load) - 5,000 kg (bucket mass) = 17,000 kg (max gravel mass)

Given that 1 cubic meter of gravel has a mass of 1,500 kg, we can calculate the volume of gravel that can be safely lifted by the crane by dividing the maximum gravel mass by the mass of gravel per cubic meter:

17,000 kg (max gravel mass) ÷ 1,500 kg/m³ (gravel density) = 11.33 m³

Therefore, the crane can safely lift approximately 11.33 cubic meters of gravel.