what is one-fifth as a percentage?

The graph is attached below.

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Answer:

Distributive.

Step-by-step explanation:

This is the distributive property. :)

Answer:

4600

Step-by-step explanation:

80000 is in 17001 and up category so the tax will be 5.75%. 80000/100 *5.75 = 4600

What she approximated as 4.7 is not correct because the nearest perfect squares are 10 and 11 which are different from what she got.

We are told that Lauren is trying to approximate the solution to n² = 115.

Now, she has figured out that it lies between √100 and √121..

Now, √100 = 10 and √121 = 11. Thus, we can say that if she says it is between 4 and 5, then she is wrong because the nearest perfect squares are 10 and 11 which are different from what she got.

Thus, what she approximated as 4.7 is not correct.

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The circumference and area of the circular figure as given in the task content are; 31.4 and 78.5 respectively.

Since each unit on the graph measures one centimeter, it follows that the radius of the circle which is described by line PQ can be determined as; 5units = 5 centimetres.

On this note, the circumference of the figure; 2πr = 2 × 3.14 × 5

Circumference = 31.4 cm.

Also, the area of the circle in discuss can be determined from; πr² = 3.14 × 5²

Area = 3.14 × 25

Area = 78.5cm²

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The value of the greatest integer is equal to 1.

We are given that:

The sum of an integer and 7 times the next consecutive odd integer is 6

Consecutive numbers are the numbers that follow each other continuously in the order from smallest to largest. For example 34 and 35.

Let the first number be x.

Second number = x + 2 ( as we need an odd integer)

ATQ:

x + 7( x + 2) = 6

x + 7 x + 14 = 6

8 x = 6 - 14

8 x = - 8

x = - 1

x + 2 = - 1 + 2

= 1

Therefore, the value of the greatest integer is equal to 1.

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the answer is 1.
i just did this question on delta

Answer:

12:15 or a quarter past 12

Step-by-step explanation:

Math.

The correct answer is:   " 12:15 a.m."

Step-by-step explanation:

1 hour = 60 minutes {"exact equivalent."}

 ⇒ p.m.  =  afternoon or evening;

 {Note: "p.m." stands for: post meridiem —in Latin terminology.}.

____

7 hours + 5 hours = 12 hours;  12 hours + [tex]\frac{1}{4}[/tex] hours  = 12[tex]\frac{1}{4}[/tex] hours.  

____

1) 1st hour:    7 pm - 8 pm

2) 2nd hour:  8 pm - 9 pm

3) 3rd hour:   9 pm - 10 pm

4) 4th hour:   10 pm - 11 pm

5) 5th hour:  11 pm - 12 am ;

Note:  After 5 [five] hours past 7:00 pm;

The determined time, at this stage of solving this problem, is: 12am ; {commonly known as midnight ; based on the "am/pm" time schedule.

 {Note: "a.m." stands for:  ante meridiem— in Latin terminology.}

Then: we add:  " [tex]\frac{1}{4}[/tex] " hour to: 12 am.
____
[tex]\frac{1}{4}[/tex] hr = 0.25 hr.

{ [tex](\frac{1}{4} hr )* \frac{60minutes}{hr} =?[/tex] } ;

→  The units of "hr" [for: "hour(s)"]; cancel out ; since: "[ (hr ÷ hr) = 1 ] ".

and we have:  [tex]\frac{1}{4}* 60= 60/4 =[/tex] [tex]15 min.[/tex]

____

So:  12am + 15 minutes;  which is: 12:15 a.m. → the correct answer.

Hope this is helpful to you!  
     Best wishes in your academic endeavors!
____

Answer:

(0, -3)

Step-by-step explanation:

.

Answer:12.99+ 3.75x= total. therefore, 12.99+3.75(4)= 27.99

Step-by-step explanation:

tho

Answer:

x = 30°

Step-by-step explanation:

If l and m are parallel lines, then corresponding angles should be congruent.

  3x - 20 = 2x + 10

Add 20 to both sides,    

          3x = 2x + 10 + 20

         3x  = 2x + 30

Subtract 2x from both sides,

     3x - 2x = 30

                x = 30

Answer:

40

Step-by-step explanation:

Answer:

6+8x=

16.8

x=

Step-by-step explanation:

To make lines u and v parallel, the indicated angle must be 108°.

So, if two parallel lines n and m intersect, then all the angles generated in line m must be exactly the same as the angles generated in line n.

According to the second (and previously used) criterion, we must have:

When we solve that, we get:

Therefore, to make lines u and v parallel, the indicated angle must be 108°.

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In February, it will sell 420 skirts.

A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.

Given:

A clothing store sells 300 skirts in January.

The number of skirts it sells in February is 40%,

that means,

the number of skirts,

= 300 x 1.4

= 420 skirts.

Therefore, It will sell 420 skirts.

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Answer:

18 degrees

Step-by-step explanation:

If <ABC and <DEF are complementary, m<ABC + m<DEF = 90 degrees. So M<DEF = 90 - 72 = 18 degrees.

Answer: 18

Step-by-step explanation: Complementary angles sum up to 90. (90 - 72 = 18)

Answer:

x = 96

Step-by-step explanation:

[tex]\frac{x}{6} +4=20[/tex]

1. Isolate the variable 'x'.

1a. Subtract 4 so the equation becomes [tex]\frac{x}{6} =16[/tex]

2a. Multiply both sides by 6 to turn the fraction into a normal number, which becomes x=96.

Answer:

[tex] \sf \large \: x=96[/tex]

Step-by-step explanation:

Let's solve your equation step-by-step.

x/6+4=20

Step 1: Simplify both sides of the equation.

1/6x+4=20

Step 2: Subtract 4 from both sides.

1/6x+4−4=20−4

1/6x=16

Step 3: Multiply both sides by 6.

6*(1/6x)=(6)*(16)

x=96

Answer: -20 yards

Step-by-step explanation:

Loss in 5 yards ==> -5 yards

-5*4=-20 yards

Answer:

[tex]x = 2[/tex]

[tex]y = 5[/tex]

Step-by-step explanation:

The graph is in the attached image above

Answer:

=======================

Given equations:

Solve by graphing, graph each line and find the point the lines intersect, this point is the solution.

See the attached, the solution is (2, 5)

According to the average rate, Heart can beat 140 times in = 2 minutes and Rate of heart beat= 70 beat per minute .

According to the statement

We have to find that the rate of the heart beat.

So, For this purpose, we know that the

Average rate is a measure of how much the function changed per unit, on average, over that interval.

From the given information:

In 10 minutes, a heart can beat 700 times. At this rate,in how many minutes will a heart beat 140 times?

Then

Heart can beat 700 times in = 10 minutes .

Heart can beat 140 times in = 10*140/700 minutes .

Heart can beat 140 times in = 1400/700 minutes .

Heart can beat 140 times in = 2 minutes .

Rate of heart beat : 140/2 beat per minute.

Rate of heart beat= 70 beat per minute .

Therefore, According to the average rate, Heart can beat 140 times in is 2 minutes and Rate of heart beat is 70 beat per minute.

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The Length of the rectangle is: B. 6 2/3.

The area of a rectangle is calculated as: Area = (length)(width). Therefore, if we known the area of a rectangle and its width, we can find the length of the rectangle using:

Length of rectangle = area of rectangle / width of rectangle.

Given the following:

Area of a rectangle = 21 and 2 over 3 square inches

Width = 3 and 1 over 4 inches

Length of the rectangle = 21 2/3 ÷ 3 1/4

Length of the rectangle = 65/3 ÷ 13/4

Length of the rectangle = 65/3 × 4/13

Length of the rectangle = 260/39 = 6 2/3.

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The bucket and the jar together will hold (c + d) litres of water.

A linear equation in 2 variables [x and y] is any equation with the form:

ax + by = c and at least one of a or b being non-zero.

This is known as the equation's General Form.

For the given question;

The water hold by bucket = c litres.

The water hold by jar = d litres.

Thus, the water hold by both bucket and jar is is linear equation with two variable c and d.

Total water =  c + d

By, varying any value the total amount of the water will also get change.

Thus, total water hold by jar and bucket is (c + d) litres.

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Answer:

Volume of sphere = 4.187x³

Step-by-step explanation:

[tex]\textsf {Volume of a sphere = $\dfrac{4}{3} \pi {r^2 }$}[/tex]

Here r = x

[tex]\textsf {Volume = $\dfrac{4}{3} \pi {x^2 }$}[/tex]

[tex]\textsf {Volume of cuboid = $4x^3$}\\[/tex]

[tex]\textsf {volume of sphere = $\dfrac{4}{3}\pi \cdot x^3$}[/tex]

[tex]\textsf {Since $\pi \approx 3.14$, this is} \approx \dfrac{4\cdot (3.14)}{3} x= 4.187x[/tex]

So volume of sphere of radius x = 4.187x³  is greater than cuboid volume of 4x³

Considering the expression of a line, they do not have the same value of m. So, the two lines are not parallel.

A linear equation o line can be expressed in the form y = mx + b

where

Knowing two points (x1, y1) and (x2, y2) of a line, the slope m of said line can be calculated using the following expression:

m= (y2 - y1)÷ (x2 - x1)

Substituting the value of the slope m and the value of one of the points in the expression of a linear equation, y = mx + b, the value of the ordinate to the origin b can be obtained.

Parallel lines are two lines that are always at the same distance from each other and that prolonged towards infinity never touch.

Two lines are parallel if they have the same slope and different y-intercepts. That is, they have the same value of m and different value of b.

In this case, you can calculated the slope of the two lines as:

Being (x1,y1)= (-3,2) and (x2,y2)= (4, -1), the slope m can be calculated as:

m= (-1 -2)÷ (4 - (-3))

Solving:

m= (-3)÷ 7

m= -3/7

Being (x1,y1)= (1,3) and (x2,y2)= (-2,-4), the slope m can be calculated as:

m= (-4 -3)÷ (-2 -1)

Solving:

m= (-7)÷ (-3)

m= 7/3

You can observe that they do not have the same value of m. Finally, the two lines are not parallel.

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Answer:

[tex]y=\frac{2}{5}x-3[/tex]

or

[tex]y+3=\frac{2}{5} (x-0)[/tex]

Step-by-step explanation:

We are given two points on Line A: (0,-3) and (5,-1). We can assign each integer to a variable in the slope formula (see above):

[tex]x_1=0[/tex]

[tex]y_1=-3[/tex]

[tex]x_2=5[/tex]

[tex]y_2=-1[/tex]

As we have identified point, we can now work to identify slope by substituting our points into the slope formula:

[tex]m=\frac{-1-(-3)}{5-0}=\frac{2}{5}[/tex]

Now that we have identified both point and slope for Line A, we can format these values in point-slope form. Substitute values into the formula:

[tex]y-(-3)=\frac{2}{5} (x-0)=y+3=\frac{2}{5}x[/tex]

Solve for [tex]y[/tex] to achieve an answer in slope-intercept form ([tex]y=mx+b)[/tex]:

[tex]y=\frac{2}{5} x-3[/tex]

Answer:

Step-by-step

The last year's salary is found as 33078.43.

Divide the value by the total value as well as multiply the result by 100 to get the percentage. (amount/total amount), the formula for determining the percentage is 100%.

A percentage is defined as a portion of the whole expressed in the form of 100. There are two ways to calculate a percentage:

As per the given question;

The salary for the current year is given as  37,740.

There is the increase in 2%.

Let the last year's salary be x.

Then 2% of x will be;

x + 2%of x = 37,740

x + 2x/100 = 37,740

x + 0.02x = 37,740

1.02x = 37,740

x =  37,740/1.02

x = 33500

Therefore, the value of last year's salary is was 33,500.

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the 3 correct statements are:

For a function f(x), we define the inverse function f⁻¹(x):

This means that, if for a given value of x = x₀ we have:

f(x₀) = y₀

Then:

f⁻¹(y₀) = x₀

From this, we can conclude that the domain of f(x) is the range of the inverse, and the range of f(x) is the domain of the inverse.

Then the statements that are correct are:

These 3 are the 3 correct statements.

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