the swimming pool. The result are Time, / (min) 0-10 11-20 21-30 31-40 Number of people 6 8 4 2 20 16.9

a Use the mid-interval values to calculate an estimate for the mean time spent in the pool.
What is the modal class?​

Answer:

[tex]5z^2+3z[/tex]

Step-by-step explanation:

[tex]z\left(5z+3\right)=z\cdot \:5z+z\cdot \:3\\z\cdot \:5z+z\cdot \:3\\z \cdot 3 = 3(z)[/tex]

5z becomes squared

[tex]z\cdot \:5z\\= 5z^2[/tex]

z • z = z²

Remove parentheses

[tex]3(z)\\= 3z\\= 5z^2 + 3z[/tex]

Hope this helps.

Answer: 450

Step-by-step explanation:

x is the original price.

40 percent times x = 180

or [tex]\frac{40}{100}[/tex] times x= 180

multiplying both sides by 100 and dividing by 40

x=180 times [tex]\frac{100}{40}[/tex]

now just do 180 times 100 divided by 40

which gives you 450

Answer:

a. 250

b. 70

c. 3

Step-by-step explanation:

w = weeks

70 + 3w = 250

3w = 250 - 70

w = (250 - 70) / 3

Step-by-step explanation:

got u bro

airpods=250

her saving=70

30 per week=30x6=180

180+70=250

so she have 6 weeks till she buys the airpods pro

The value of the AB is 47 and the C is 5.

According to the statement

We have to find that the value of the A,B,C.

So, For this purpose, we know that the

Algebraic expression is an expression obtained by a finite number of the fundamental operations of algebra upon symbols representing numbers.

From the given information:

The equations are:

AB+C = 52

And

AB+10C = 97

And now compare it then

AB+C = 52

AB+10C = 97

After that it become

-9C = -45

C = 5

Then

The equation become :

AB+C = 52

AB+5 = 52

AB = 47

The value of the AB is 47.

So, The value of the AB is 47 and the C is 5.

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Answer:

Only the value of (x = 1) makes the above-mentioned equation (4x - 3) = (-12x + 13) true.

Step-by-step explanation:

In this question we are given an equation (4x - 3) = (-12x + 13), in which we need to put different values for x given below for which the equation will become true.

The given values of x to put in to the equation to make it true are;

x = 13,0,1,16

Now, let us put the value of (x = -3) in the above-mentioned equation;

=> 4x - 3 = -12x + 13

=> 4(-3) - 3 = -12(-3) + 13

=> -12 - 3 = 36 + 13

=> -15 = 49

Thus, the value of (x = -3) does not make the above-mentioned equation true.

Now, let us put the value of (x = 0) in the above-mentioned equation;

=> 4x - 3 = -12x + 13

=> 4(0) - 3 = -12(0) + 13

=> -3 = 13

Thus, the value of (x = 0) does not make the above-mentioned equation true.

Now, let us put the value of (x = 1) in the above-mentioned equation;

=> 4x - 3 = -12x + 13

=> 4(1) - 3 = -12(1) + 13

=> 1 = 1

Thus, the value of (x = 1) makes the above-mentioned equation true.

Now, let us put the value of (x = 16) in the above-mentioned equation;

=> 4x - 3 = -12x + 13

=> 4(16) - 3 = -12(16) + 13

=> 64 - 3 = -192 + 13

=> 61 = -179

Thus, the value of (x = 16) does not make the above-mentioned equation true.

Therefore, only the value of (x = 1) makes the above-mentioned equation (4x - 3) = (-12x + 13) true.

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Answer:

-6, -4

Step-by-step explanation:

[tex]2|x+5|=2 \\ \\ |x+5|=1 \\ \\ x+5=\pm 1 \\ \\ x=-5 \pm 1 \\ \\ x=-6, -4[/tex]

Answer:

43 and 44

Step-by-step explanation:

x + (x + 1) = 87

2x + 1 = 87

      -1    -1

2x = 86

÷2    ÷2

x = 43

43 + (43 + 1) = 87

43 + 44 = 87

87 = 87

I hope this helps!

Answer:

Midpoint: (-1,-5)

Step-by-step explanation:

Applying the inscribed angle theorem, the measures of the angles indicated are:

a. m<EDF = 53°

b. m<BCD = 92°

c. m<SWV = 37°

The inscribed angle theorem is a circle theorem that explains the relationship between the measure of an inscribed angle and the measure of the intercepted arc in a circle. It states that:

the measure of the inscribed angle = 1/2(the measure of intercepted arc).

Use the inscribed angle theorem to find the arc and angle measures indicated:

a. m<EDF = 1/2(106)

m<EDF = 53°

b. m<BCD = 180 - 88 (opposite angles in a cyclic quadrilateral have a sum of 180 degrees)

m<BCD = 92°

c. m<SWV = 1/2(74)

m<SWV = 37°

Therefore, applying the inscribed angle theorem, the measures of the angles indicated are:

a. m<EDF = 53°

b. m<BCD = 92°

c. m<SWV = 37°

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In Compound inequality the value of the x is 1/14 < x and 2/3≤ x.

According to the statement

We have to find that the value of the compound inequality.

So, For this purpose, we know that the

A compound inequality consists of two inequalities that are joined together by the word "and" or the word "or".

From the given information:

The equations are:

1/2x -4< 3 and 7≤ 3x +5

Now solve these equations then

1/2x -4< 3

1/2x < 3+4

1/2x < 7

1 < 14x

The value becomes 1/14 < x.

And then take second equation:

7≤ 3x +5

7-5 ≤ 3x

2≤ 3x

The value becomes 2/3≤ x.

So, In Compound inequality the value of the x is 1/14 < x and 2/3≤ x.

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Answer:

Step-by-step explanation:

If you add you will get 9.90 but thats not what you want so you have to divide I think in order to get your answer.

Answer:

30.69

Step-by-step explanation:

9.3 x 3.30=30.69

The amount of supply (in inventory) expense of the company during the year is $160

The amount of supplies at the start of the year = No supplies

Amount of supplies bought during the year = $200

The amount paid for the supply = $150

Amount of supplies left at the end of the year = $40

Required: The supply expense for the period

Solution:

Supply expense = Amount bought on credit - Amount remaining

Therefore;

Supply expense = $200 - $40 = $160

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Step-by-step explanation:

did I understand this correctly ?

the fraction is 63/39 ?

and you need help to divide both numbers by 3 ? really ?

63/3 = 21

39/3 = 13

so the equivalent fraction is

21/13

Answer:

Fraction-12/25     Decimal-0.48

Step-by-step explanation:

To divide fractions, we have the use the term, Keep, Change, Flip.

In this case, the two fractions are 2/5 and 5/6.

First, we Keep the 2/5.

Now, we Change the division sign by a multiplication sign.

So it would look like 2/5x5/6.

Now, for the final step, we Flip the second fraction.

Now, the question would look something like this.

2/5x6/5.

Now, we multiply.

2x6=12,  and 5x5=25.

The answer would be 12/25.

In decimal form, it would be 0.48.

Hope that helped!  :D

Answer:

The slope intercept of a line is given by y=mx+c, where:

m=slope, c=y-intercept.

Thus the slope-intercept form of our equation will be:

-6+2y≤42

adding 6 in both sides we get:

-6+6+2y≤42+6

2y≤6

dividing both sides by 2 we get:

(2y)/2≤6/2

y≤3

the answer is y≤3

Step-by-step explanation:

The value of g(-4) is (-18)

A function is defined as a relation between a set of inputs having one output each. A function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input.

Given function:

g(x)=5x+2

So, the value of g(-4)

g(-4) = 5(-4) +2

g(-4) = -20+2

g(-4) = -18

Hence, the value of g(-4) is -18.

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Answer:

X= 5, -9

Step-by-step explanation:

1. Move all terms not containing |x+2| to the right side of the equation.

3|x+2|=21

2. Divide each term in 3|x+2|=21 by 3 and simplify

|x+2|=7

3. Remove the absolute value term. This creates a ± on the right side of the equation because |x| = ±x

x+2= ±7

4. The complete solution is the result of both the positive and negative portions of the solution

x= 5, -9

-Rocketgamer360

The expression 3 as a quotient of two integers can be represented by the expression 6/2

Expressions are mathematical statements that are represented by variables, coefficients and operators

Rational expressions are expressions that are represented by the quotient of two polynomials or radicals.

This means that, a rational expression is represented by a fraction whose numerator and denominator are polynomials or radicals

The expression is given as

3

Next, we multiply 3 by 1

So, we have

3 = 3 x 1

Next, we express 1 as a fraction where the numerator and the denominator are the same e.g. 2/2, 3/3, 4/4...

So, we have

3 = 3 x 2/2

Evaluate the product of 3 and 2

So, we have

3 = 6/2

Hence, the expression 3 as a quotient of two integers can be represented by the expression 6/2

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A set of positive integers is typically represented as Z+.
It implies all the integers are greater than 0.
When writing a set of positive integers it would look like {1, 2, 3, 4, 5, 6, 7, etc.}

Answer:

anything that is a whole number more than 0

Step-by-step explanation:

Answer:

Step-by-step explanation:

Simplification in steps:

The solution of the expression -2/5 x -1 1/4 is 1/2

Expressions are mathematical statements that are represented by variables, coefficients and operators

The expression is given as

-2/5 x -1 1/4

Express the fractions as improper fraction

So, we have

-2/5 x -1 1/4 = -2/5 x -5/4

Evaluate the product

So, we have

-2/5 x -1 1/4 = 10/20

Divide the fraction

So, we have

-2/5 x -1 1/4 = 1/2

Hence, the solution of the expression -2/5 x -1 1/4 is 1/2

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An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation.

The expression 6 - 5 x 3 does not have the value 3.

6 - 5 x 3 = - 9

An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation.

The math operation can be addition, subtraction, multiplication, or division.

We have,

-3( 4 - 5 )

= -3 x -1

[minus x minus = positive]

= 3

|-2| + 1 ( 3 - 2)

The modulus of any value is always positive.

= 2 + 1 x 1

= 2 + 1

= 3

-8 ÷ -4 + 1

Minus gets canceled after division.

= -8/-4 + 1

= 2 + 1

= 3

6 - 5. 3

= 6 - 15

= -9

Thus all the expressions have a value of 3 except the expression

6 - 5 x 3.

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If my disposable income from a part-time job in 2019 was $17,000, and I repaid a loan of $560 at 15 percent interest, borrowed in 2018 from my income of 2019, then I will have $ available for spending in 2019.

As per the question statement, my disposable income from a part-time job in 2019 was $17,000, and I repaid a loan of $560 at 15 percent interest, borrowed in 2018 from it.

We are required to calculate the amount I will be left with, to spend in 2019.

To solve this question, first, let us calculate the amount we had to pay to close our loan of 2018, along with it's 1 year's interest.

Since the loan was repaid in a year, hence, it does not matter if the interest was simple or compound as the magnitude of simple and compound interest on the same principle and at same rate of interest for a year is equal.
Let us proceed with the consideration that the interest was compounded annually at the rate of 15% per annum.

As per the basic formula of Compound Interest,

[tex]A=[P*(1+\frac{R}{100})^n][/tex]

Where, A = Final Amount i.e., (Principle + Interest).

P = Principle on which Interest in compounded

R = Rate of Compound Interest per annum

n = Time period of interest .

Here, (P = $560), (R = 15%) and (n = 1).

Therefore, total amount to be repaid to close the loan in 2019

[tex]=[560*(1+\frac{15}{100})^1]\\\\=[560*(1+\frac{3}{20})]\\=[560*(\frac{20+3}{20})]\\ =(560*\frac{23}{20})\\ =(28*23)\\=644[/tex]

Hence, my left-over balance after paying $644 from my disposable income of $17,000 which I earned from a part time job in 2019, will be $(17000 - 644) = $16356.

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[tex]m=6n^2+1\hspace{5em}L=\sqrt{m-7} \\\\\\ \stackrel{\textit{substituting on the 2nd equation}}{L=\sqrt{(6n^2+1)-7}} \implies L=\sqrt{6n^2 -6} \\\\[-0.35em] ~\dotfill\\\\ \textit{when n = 2, what is "L"?}\qquad L=\sqrt{6(2)^2 -6} \\\\\\ L=\sqrt{6(4)-6}\implies \boxed{L=\sqrt{18}} \\\\[-0.35em] ~\dotfill\\\\ \textit{when L = 6, what is "n"?}\qquad 6=\sqrt{6n^2 -6}\implies 6^2=6n^2 -6 \\\\\\ 36=6n^2-6\implies 42=6n^2\implies \cfrac{42}{6}=n^2\implies 7=n^2\implies \boxed{\sqrt{7}=n}[/tex]

Answer:

so do i

Step-by-step explanation:

doesnt everybody

The product of positive number with itself found as 361/36.

For the stated question;

The given number is 3 1/6, which is in mixed fraction.

Write the number in proper fraction.

3 1/6 = 19/6

Squaring the number means, multiplying the number with itself.

(19/6)² = (19/6) × (19/6)

(19/6)² = 361/36

Thus, the product of positive number itself found as 361/36.

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Answer:

i need help with this too let me know when you find out

Step-by-step explanation:

Step-by-step explanation:

all you have to do is remember that -28 is smaller than -26. this is the whole trap here, that you think that analog to the positive integers, where 26 is smaller than 28, that also -26 is the smaller number. but no.

smaller value : -28

larger value : -26

other than that they must be the same absolute value as the positive integers, because the square makes them equal. so, there cannot be any other values involved.

The fraction 6/7 converted to decimal and rounded to thousands place is 0.8571.

A decimal is a dot that separates the whole part and the fractional part of a given number.

To convert this proper fraction 6/7 into the decimal form we first have to divide 6 by 7 which is 0.8571428571.

Now, we have to round this number 0.8571428571 to thousands place so we will look at the digit ten thousand places which is 4 and less than 5 so we will make every digit after thousands place to zeroes which is 0.8571000000 and zeroes after decimal place is meaning less, therefore, this number will be 0.8571.

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Answer: The amount an individual is required to pay in taxes is known as alternative minimum tax (AMT).

Step-by-step explanation:

Define Tax :

An amount of money that a government requires people to pay according to their income, the value of their property, etc., and that is used to pay for the things done by the government.

Some important Direct taxes include:

So,

People who have benefited greatly from tax breaks due to their high economic income are subject to the alternative minimum tax.

This tax acts as a corrective measure to ensure that person pays the least amount of tax possible.

The excess of a purported minimal tax above a regular tax is known as an alternative minimum tax. The income of a person, deductions, and exemptions are taken into account while determining the alleged minimum tax, and then the alternative minimum tax rate is applied.

It is then compared to the standard tax after receiving the purported minimum tax. The person is subject to alternative minimum tax if it is higher than the ordinary tax.

The alternative minimum tax may apply to taxpayers who have a lot of itemized deductions and tax preference items (AMT).

Therefore,  

The amount an individual is required to pay in taxes is known as alternative minimum tax (AMT).

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