What fraction of 56 is 21

Answer:

Decimals, fractions and mixed units are not integers.

Step-by-step explanation:

Final answer:

Opposite non-integer numbers are pairs like 1/2 and -1/2 or 3.5 and -3.5. These pairs are not integers due to their fractional parts, yet they add up to zero, confirming they are opposites.

Explanation:

When we refer to numbers that are not integers but are opposites, we are seeking pairs of numbers whose sum is zero. Integers are whole numbers such as -1, 0, and 1, which do not include fractions or decimals. On the other hand, rational numbers are ratios of integers like 2/1 or 3/4, and these can be non-integers.

Consider the rational numbers 1/2 and -1/2; these are opposite numbers because they add up to zero. Similarly, another pair could be 3.5 (which is the same as 7/2) and -3.5 (or -7/2). These numbers are not integers because they have fractional parts, yet they are opposites because their sum is zero.

In both cases, these pairs demonstrate the mathematical property that when a number is added to its opposite, the result is always zero, which is a fundamental aspect of additive inverses. This is how we can verify that 1/2 and -1/2, as well as 3.5 and -3.5, are non-integer opposites.

Answer: Yes

Step-by-step explanation: Here, we want to decide if 3 is a solution for the equation 2n - 6 = 5n - 15. We can do this by simply plugging in 3 for n. If the statement holds true when 3 is plugged in for n, then 3 is a solution.

Plugging in 3 for n, we have 2(3) - 6 = 5(3) - 15.

2(3) is equal to 6 and if we subtract 6 we get 0.

On the right side, 5(3)  is equal to 15 and if we subtract 15 we get 0.

0 = 0 is a true statement so yes,

3 is a solution for the equation 2n - 6 = 5n - 15

Answer: [tex]2x^2+\frac{\pi x^2}{4}[/tex]

Step-by-step explanation:

The area of a rectangle can be calculated with this formula:

[tex]A_r=lw[/tex]

Where "l" is the lenght and "w" is the width.

The area of a semi-circle can be found with this formula:

[tex]A_{sc}=\frac{\pi r^2}{2}[/tex]

Where "r" is the radius.

 Let be "x" the shorter side of the rectangle (which is also the diameter of the semi-circle).

Based on the information given in the exercise, you know that:

[tex]w=x\\\\l=2x[/tex]

Since the radius is half the diameter:

[tex]r=\frac{x}{2}[/tex]

Observe the figure attached, which shows the stadium.

The area of the stadium is the sum of the areas of the semi-cirlcles and the rectangle.

Therefore, you can construct the following expression for the area of the stadium is terms of "x":

[tex](2x)(x)+\frac{\pi (\frac{x}{2})^2}{2}+\frac{\pi (\frac{x}{2})^2}{2}[/tex]

Simplifying it, you get:

[tex](2x)(x)+\frac{\frac{\pi x^2}{4}}{2}+\frac{\frac{\pi x^2}{4}}{2}=2x^2+\frac{\pi x^2}{4}[/tex]

The expression for the area of the stadium in terms of x is 2x^2 + πx^2/4.

The area of the stadium can be calculated by first finding the area of the rectangle and then adding the areas of the two semicircles. The long side of the rectangle is 2 times longer than the short side, so the dimensions of the rectangle are x for the short side and 2x for the long side. Therefore, the area of the rectangle is A = x * 2x = 2x^2. The formula for the area of a semicircle is A = πr^2/2, where r is the radius of the semicircle. In this case, the radius is x/2 since it is half of the short side of the rectangle. So, the area of one semicircle is π(x/2)^2/2 = πx^2/8. Since there are two semicircles, the total area of the semicircles is 2 * (πx^2/8) = πx^2/4.

Adding the area of the rectangle and the area of the semicircles, we get the expression for the total area of the stadium: A = 2x^2 + πx^2/4.

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The area of a circle can be found using this formula: A = πr²

A = area

π = 3.14

r = radius (half of diameter)

A = (3.14)(12.5)^2

A = (3.14)(156.25)

A = 490.63

Answer:

Step-by-step explanation:

1200÷2=600

The Answer is a calculator is best way to get an answer quickly

Step-by-step explanation:

Answer add the tens place first then after you get that number you add the hundreds place and after you get that answer you add the thousands place and then after you get that answer you have you answer!!

Answer:

x = 20

Step-by-step explanation:

Combine like terms

3x-5=55

Add the 4 on both sides

3x-5=55

   +5  +5

3x=60

Divide both sides by 3

x = 20

Answer:

Option fraction 1 and 2 over 3 units is correct

Therefore [tex]Perimeter of a rectangle=1\frac{2}{3}[/tex]units

Step-by-step explanation:

Given rectangle of length is fraction 1 over 3 units and width is fraction 1 over 2 units

It can be written as [tex]l=\frac{1}{3}[/tex]units and [tex]w=\frac{1}{2}[/tex]units

To find the perimeter of a rectangle :

Perimeter of a rectangle=2(l+w)

Substitute the values of [tex]l=\frac{1}{3}[/tex]units and [tex]w=\frac{1}{2}[/tex]units in the above formula we get

[tex]Perimeter of a rectangle=2(\frac{1}{3}+\frac{1}{2})[/tex]

[tex]=2(\frac{1(2)+1(3)}{6})[/tex]

[tex]=2(\frac{2+3}{6})[/tex]

[tex]=\frac{5}{3}[/tex]

[tex]=1\frac{2}{3}[/tex]

Therefore [tex]Perimeter of a rectangle=1\frac{2}{3}[/tex]

Therefore option fraction 1 and 2 over 3 units is correct

Answer:

Option fraction 1 and 2 over 3 units

Step-by-step explanation:

hi, i cant see the question :(

Answer:

150

Step-by-step explanation:

5*30=150

Start by multiplying 5*3, which is 15 then add the 0 back on. =150

Answer:

5 * 30 = 150

Step-by-step explanation:

5 * 30 = 5 * 3 * 10 = 15 * 10 = 150

The answer would be 31.1

Answer:

31.1

Step-by-step explanation:

Times 62.2 by ten to make it a whole number, which is 622. Now it looks easier! 622/2=311. But don't forget to divide it by ten again!

Answer:

c ≈ -29°

Step-by-step explanation:

To convert Fahrenheit to Celsius using the formula, substitute the degrees for Fahrenheit "f", then isolate Celsius "c".

f = [tex]\frac{9}{5}c[/tex] + 32

-20 = [tex]\frac{9}{5}c[/tex] + 32     Substitute "f" for -20

-20 - 32 = [tex]\frac{9}{5}c[/tex] + 32 - 32     Subtract 32 from both sides

-20 - 32 = [tex]\frac{9}{5}c[/tex]     +32-32 cancels out to 0. Simplify left side

-52 = [tex]\frac{9}{5}c[/tex]

-52/[tex]\frac{9}{5}[/tex] = [tex]\frac{9}{5}c/\frac{9}{5}[/tex]     Divide by 9/5 on both sides

-52/[tex]\frac{9}{5}[/tex] = c

-52[tex]*\frac{5}{9}[/tex] = c     When dividing a fraction, flip the fraction and change to multiplication

[tex]\frac{-52*5}{9}[/tex] = c     Multiply by combining into the numerator

[tex]\frac{-260}{9}[/tex] = c     Use a calculator

c = -28.8888888889°

c ≈ -29°      Round to the nearest degrees

Therefore -20°F is about -29°C.

Answer: D. 100

Step-by-step explanation:

Answer:

-1/64

Step-by-step explanation:

Just do 4 to the 3rd and make that the denominator

4^3 = 64

-1 / 64

Answer:

for A = -3

A² = A×A = (-3) × (-3)   Two minus negate each other

               = 3 ×3

               = 9

:)

Answer:

Sharmaine had an income of US$ 1,355 that week.

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Hours per week Sharmaine works at an exclusive restaurant = 30

Salary of Sharmaine = US$ 3.50 per hour + tips

Tips of the week = US$ 1,250

2. What was Sharmaine’s total income?

Total income = Tips + Rate per hour

Total income = 1,250 + (3.5 * 30)

Total income = 1,250 + 105

Total income = 1,355

Sharmaine earned $105.00 from her hourly job and $1,250.00 in tips, making her total income $1,355.00 for the week.

The student asked about Sharmaine's total income for a week. Sharmaine earns an hourly wage plus tips at a restaurant. To calculate her total income, we need to add her earnings from her hourly rate to her earnings from tips.

First, we determine her earnings from her hourly wage. She works 30 hours at $3.50 per hour. So, her income from her hourly wage is 30 hours × $3.50/hour = $105.00.

Next, we add her earnings from tips. Sharmaine earned $1,250.00 in tips for the week.

Her total income for the week is her hourly earnings plus her tips: $105.00 (hourly earnings) + $1,250.00 (tips) = $1,355.00.

Therefore, Sharmaine's total income for that week is $1,355.00.

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Answer:

Step-by-step explanation:

you move the -10 to the other side of the equation

3x=84+10

3x=94

x=31 1/3

Answer:

Your goal is to get x by itself

3x-10=84

First you want to add 10 to each side

3x=94 (-10+10=0, 84+10=94)

Last step is divide each side by 3

x= 31 and 1/3 or 94/3

Hope this helps ;)

Answer:

(1, 5 )

Step-by-step explanation:

To obtain a solution, substitute any value for x into the equation and solve for y, that is

x = 1 → y = 7(1) - 2 = 7 - 2 = 5 → (1, 5 )

x = - 1 → y = 7(- 1) - 2 = - 7 - 2 = - 9 → (- 1, - 9 ) is also a solution

Answer:

61 bikes are regular the other 37 are moutain bikes.

Step-by-step explanation:

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Answer:

61 bikes are not mountain bikes.

Step-by-step explanation:

To figure this out you have to simply subtract the amount of mountain bikes from the total amount of bikes.

98 - 37 = 61

Now you know that 61 of the bikes are not mountain bikes.

I hope this helped! :)

~CaityConcerto

The distance around the wheel is 628 feet and distance traveled in one rotation is equal to 628 feet

Solution:

Julie and her brother go to Atlanta to ride the SkyView Ferris wheel.

It measures 200 feet in diameter

Diameter = 200 feet

We know that diameter is twice of radius

[tex]diameter = 2 \times radius\\\\200 = 2 \times radius\\\\radius = \frac{200}{2}\\\\radius = 100[/tex]

Thus radius of wheel is 100 feet

The distance around the ferris wheel is the circumference of wheel

Since, wheel is of circular shape, we can use circumference of circle formula

The circumference of circle is given as:

[tex]C = 2 \pi r[/tex]

Where "r" is the radius and [tex]\pi[/tex] is a constant equal to 3.14

Substitute r = 100 we get,

[tex]C = 2 \times 3.14 \times 100 = 628[/tex]

Thus distance around the wheel is 628 feet

Distance traveled in one rotation = circumference of wheel

The distance traveled in one rotation is equal to 628 feet

Step-by-step explanation:

The first differences being [tex]2, 4, 6, 8, 10,...[/tex]  means

So,

If

The first term of the sequence is 2.

then

The second term of the sequence is [tex]2 + 2 = 4[/tex]

The Third term of the sequence is [tex]4 + 4 = 8[/tex]

The Fourth term of the sequence is [tex]8 + 6 = 14[/tex]

The Fifth term of the sequence is [tex]14 + 8 = 22[/tex]

The Sixth term of the sequence is [tex]22 + 10 = 32[/tex]

Keywords: sequence, arithmetic sequence

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Answer:

71

Step-by-step explanation:

Complementary angles have measures that add to 90°.

ABC and CBD are complementary angles.

Since the angles are complementary, their measures must add to 90°. Set up an equation and solve for n.

n +  18° =  90°

n +  18° −  18° =  90°  −  18°

n =  72°

The measure of the complementary angle is 72°.

Answer:20000

Step-by-step explanation:

He must have worked for 50 weeks in that year.

The unitary method is a method in which you find the value of a unit and then the value of a required number of units.

Given here:  hourly rate=10/hr and annual rate is $20000 and he worked 40 hours per week

Thus in a week he earns 40×10=$400

let the person work for x weeks then we have the equation

400×x=20000

        x=50 weeks

Hence, He must have worked for 50 weeks in that year.

Learn more about the unitary method here:

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The statement is not reversible.

A reversible statement is one where the implication goes both ways. In simpler terms, if the statement is true, its converse (reversing the hypothesis and conclusion) must also be true, and vice versa.

The statement is: "If (x=3) then (x²=9)". The converse, "If (x² = 9) then (x = 3)" is not always true. For example, if  x = -3, then  x² is also 9.

A biconditional statement is true if and only if both the statement and its converse are true. Because the converse of the original statement is not always true, the biconditional statement " (x = 3) if and only if (x² = 9)" is also not true.

Answer:

Therefore,

[tex]b=-35[/tex]

Step-by-step explanation:

Solve:

[tex]-15=\dfrac{3}{7}b[/tex]

To Find:

b = ?

Solution:

[tex]-15=\dfrac{3}{7}b[/tex] ..............Given

Step 1 .Multiply Both the side by 7 we get

[tex]-15\times 7=7\times \dfrac{3}{7}b\\\\-105=3b[/tex]

Step 2. Divide Both the side by 3 we get

[tex]\dfrac{-105}{3}=\dfrac{3b}{3}\\\\-35=b\\b=-35[/tex]

Therefore,

[tex]b=-35[/tex]

The given equation is non-linear.

Solution:

Given expression is [tex]\frac{3}{x} +\frac{4}{y} =2[/tex].

To find the equation is linear or non-linear.

Linear equation is a straight line which is in the form ax + by + c = 0.

Otherwise it is non-linear equation.

⇒ [tex]\frac{3}{x} +\frac{4}{y} =2[/tex]

Do cross multiply for the fractions to make the denominators same.

⇒ [tex]\frac{3y}{yx} +\frac{4x}{yx} =2[/tex]

⇒ [tex]\frac{3y+4x}{yx} =2[/tex]

Do cross multiplication.

⇒ [tex]3y+4x=2yx[/tex]

⇒ [tex]4x+3y-2yx=0[/tex]

Here, there is no constant term.

So, the equation is not a straight line.

Hence, the given equation is non-linear.