The sum of three consecutive even integers (3 integers in a row) is 120.



Use the following setup and given equation to find your solution:

1st integer = x
2nd integer = x+2
3rd integer = x+4
Equation: x+(x+2)+(x+4)=120




Solve the equation above. What is the largest of the three integers?

Answer:

See below

Step-by-step explanation:

Odds AGAINST are 3 to5        then odds FOR are  2 to 5

    2/5   = .4 = 40%   chance of winning

Answer:

y = -2x + 9

Step-by-step explanation:

The standard form of a linear function is y = mx + b, where m is the slope and b is the y-intercept.

The line intersects the y-axis at 9, thus b = 9.
The slope formula is rise/run. The line falls 2 and runs 1, thus m = -2/1, or -2.

y = -2x + 9

Answer:

5

Step-by-step explanation:

To find a value for y given a value for x, substitute the x-value into the expression

Answer:

Step-by-step explanation:

x + y = 8

Let x = 2

then:

2 + y = 8

y = 8 - 2

y = 6.

This is one integer value for y.

Step-by-step explanation:

To find the unit rate of a graph find two points. and set up this equation

[tex] \frac{y2 - y1}{x2 - x1} [/tex]

Then solve for the Unit rate which can also be referred to as slope, or change in y over x

Hope this helps!

Answer:

[tex]\displaystyle (-\frac{5}{2}, 4)[/tex]

Step-by-step explanation:

    We will use the midpoint formula to solve.

[tex]\displaystyle (\frac{x_{1}+x_{2} }{2}, \frac{y_{1}+y_{2} }{2} )[/tex]

[tex]\displaystyle (\frac{0+-5 }{2}, \frac{3+5}{2} )[/tex]

[tex]\displaystyle (\frac{-5 }{2}, \frac{8}{2} )[/tex]

[tex]\displaystyle (-\frac{5}{2}, 4)[/tex]

The difference quotient of the function g(x) = √x is  [√(x+h) -√x]/h

Difference quotient of the function:

Difference quotient of the function means a measure of the average rate of change of the function over an interval.

The difference quotient formula of a function y = f(x) is,

[ f(x + h) - f(x) ] / h

where

f (x + h) is obtained by replacing x by x + h in f(x)

f(x) is the actual function

Given,

Function g(x) = √x where x≥0.

Here we need to find the difference of the quotient of the function.

For that,

First we have to calculate the value of g(x + h),

By simply replacing the value of x as x + h,

So,

g(x + h) = √(x+h)

Now apply the values on the formula in order to solve it,

=> [√(x+h) -√x]/h

We can't simplify it further.

So, the difference quotient of function is,

=> [√(x+h) -√x]/h

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Answer: D

Step-by-step explanation:

took one for the team

Results of correlational analysis showing a correlation coefficient of 0.5 indicate that the related variables show a moderately positive relationship.

The correct option is B.

The strength of the relationship can be quantified by researchers using this coefficient, which is frequently used to determine the relationship between two or more objects.

The coefficient value will range from -1 to +1, where a value of 0.5 indicates that the variables show a moderately positive relationship.

Variables that are thought to be highly correlated have correlation coefficients with magnitudes between 0.7 and 0.9. Variables that are moderately correlated are indicated by correlation coefficients with magnitudes between 0.5 and 0.7.

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I understand that the question you are looking for is:

Correlational research results depicting a correlation coefficient of 0.5 means that the associated variables demonstrate a __________ relationship.

a. weak negative

b. moderately positive

c. weak positive

d. strong positive

The place where the square root of 75 minus 13 would be plotted on a number line will be C. Between −4 and −5, but closer to −4.

It should be noted that square root means the number multiplied that will give the original value.

In this case, the square root of 75 is 8.66. Then we will subtract 13 from it. This will be:

= 8.66 - 13

= 4.34

Therefore, the place where the square root of 75 minus 13 would be plotted on a number line will be between −4 and −5, but closer to −4.

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Answer:

The person above was correct about the answer! I took the risk for you guys to make sure it was right, and it was! good luck on your exam!! :D

Step-by-step explanation:

[tex] = \frac{ {2}^{4} }{ {2}^{7} } [/tex]

[tex] = {2}^{4 - 7} [/tex]

[tex] = {2}^{ - 3} [/tex]

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

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

[tex] = \frac{1}{8} [/tex]

The answer is not 8, but 1/8.

Answer:  Not closed under multiplication

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

Explanation:

Pick any two negative numbers that you want.

I'll go for -3 and -5

They multiply to (-3)*(-5) = 15 which is a positive number. The two negatives cancel out to form a positive.

This is an example to show that multiplication is not closed for this subset of the real numbers. We consider it to be closed if the result of any two negative numbers multiplied would get us some other negative number.

In a sense, this is the complete opposite of closed since the result is never negative.

Here's an example of a set that is closed under multiplication: integers

Picking any two integers and multiplying them together gets us some other integer. Each item is found in the same set, i.e. the result never leaves or goes outside the set.

Answer:

9

Step-by-step explanation:

Let the ratio's unit be x. We have:

3x:2x:x. We add these up to get 6x. 6x=18, so x=3. 3*3 (since the wins is 3 in the ratio 3:2:1) is 9, so there's your answer! We can double check because 3*2 = 6 losses, and 3*1 = 3 draws, and 9:6:3=3:2:1, and 9+6+3=18!

Answer:

Hello,

Step-by-step explanation:

Let's suppose
t the time of the travel

d1 the distance rided by Cindy in miles

d2 the distance rided by Richard in miles

d1+d2=96

18*t+14*t=96

32*t=96

t=3 (hours)

A plan which would give Genesis the lowest monthly payment is: C. The monthly payment on a bank loan would be $317.50, which is lower than the monthly credit card payment.

In order to determine the plan which would give Genesis the lowest monthly payment, we would calculate the simple interest earned over each of the time period.

Mathematically, the simple interest earned can be calculated by using this formula:

A = P(1 + rt)

Where:

Substituting the given parameters into the formula, we have;

A = 9000[1 + (0.09 × 3)]

A = 9000[1 + 0.27]

A = 9000 × 1.27

Future value, A = $11,430.

Next, we would calculate the monthly payment over a period of 36 months as follows:

Monthly payment = Future value/Time

Monthly payment = 11,430/36

Monthly payment = $317.50.

Similarly, we would calculate the compound interest earned on the credit card by using this formula:

[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]

A = 9000[1 + (0.18/12)]⁽¹² ˣ ⁷⁾

A = 9000[1 + 0.015]⁸⁴

A = 9000 × 1.015⁸⁴

A = 9000 × 3.49258954

Future value, A = $31,433.31.

Next, we would calculate the monthly payment over a period of 84 months as follows:

Monthly payment = Future value/Time

Monthly payment = 31,433.31/84

Monthly payment = $372.21.

In this context, we can reasonably infer and logically deduce that the plan which would give Genesis the lowest monthly payment is the monthly payment on a bank loan.

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Answer:

C

Step-by-step explanation:

got 100% on exam

Answer: x=-5, y=4 (-5,4)

Step-by-step explanation:

The first three terms of the number sequence are 1, 1/8, and 1/27. And the tenth term of this sequence is 1/1000.

We have been given the nth value of a number sequence that is,

           aₙ = n⁻³

We can find the terms by replacing n with required values.

Thus the first term , a₁ = (1)⁻³

                                         = 1

Second term, a₂ = (2)⁻³

                             = 1/8

Third term, a₃ = (3)⁻³

                          = 1/27

Tenth term, a₁₀ = (10)⁻³

                             = 1/1000                            

Hence the first three terms of the number sequence are 1, 1/8, and 1/27. And the tenth term is 1/1000.

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The volume of cylinder V as a function of the height h is: V = 50.24h

In this question, we have been given the radius of the cylinder which is 4 centimeters.

We need to write the volume V of the can as a function of the height h.

We know that, the formula of volume of the cylinder of radius r and height h is, V = π × r² × h

In this question, r = 4 centimeters

Substitute r = 4 in above formula of volume of cylinder.

⇒ V = π × r² × h

⇒ V = π × 4² × h

⇒ V = 3.14 × 16 × h

⇒ V = 50.24 × h

⇒ V = 50.24h

Therefore, the volume of cylinder V as a function of the height h is:

V = 50.24h

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Step-by-step explanation:

multiply 6x - y = 2 by 3 and subtract the first equation from the second

18x-3y=6 - (-4x+3y=2

3y is cancelled and after the others are subtracted the equation becomes

22x = 4

x = 2/11

Answer:

The value of x = 1/2

The value of y = 1

Step-by-step explanation:

Let's change the equation,

→ 6x - y = 2

→ y = 6x - 2

Then the value of x will be,

→ -4x + 3y = 1

→ -4x + 3(6x - 2) = 1

→ -4x + 18x - 6 = 1

→ 14x = 1 + 6

→ x = 7/14

→ [ x = 1/2 ]

Hence, the value of x is 1/2 (or) 0.5.

Now the value of y will be,

→ y = 6x - 2

→ y = 6(1/2) - 2

→ y = 3 - 2

→ [ y = 1 ]

Hence, the value of y is 1.

Answer:

81, 225, 361

Step-by-step explanation:

Percent cost of the total spent on

each equipment = 14.23%,fees=62.45% and transportation = 23.32%.

As given in the question,

Money spent on

Each equipment = $36

Fees = $158

Transportation = $59

Total money spent = $( 36 + 158 + 59)

                             = $253

Percent cost of the total spent on

Each equipment = (36/253) × 100

                          = 14.23%

Fees = (36/253) × 100

        = 62.45%

Transportation =(36/253) × 100

                       = 23.32%

Therefore, percent cost of the total spent on

each equipment = 14.23%,fees=62.45% and transportation = 23.32%.

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Answer:

C. 3x-8

Step-by-step explanation:

To solve this, we put the x values into the functions and calculate the y values.

A

y = (1/2)x - 3

test for (2, -2)

-2 = 1/2 × 2 - 3 = 1 - 3 = -2 correct

test for (6, 10)

10 = 1/2 × 6 - 3 = 3 - 3 = 0 wrong

so, A cannot be right.

B

y = -2x + 2

test for (2, -2)

-2 = -2×2 + 2 = -4 + 2 = -2 correct

test for (6, 10)

10 = -2×6 + 2 = -12 + 2 = -10 wrong

so, B cannot be right.

C

y = 3x - 8

test for (2, -2)

-2 = 3×2 - 8 = 6 - 8 = -2 correct

test for (6, 10)

10 = 3×6 - 8 = 18 - 8 = 10 correct

test for (13, 31)

31 = 3×13 - 8 = 39 - 8 = 31 correct

so, C is a right answer.

D

y = 4x - 10

test for (2, -2)

-2 = 4×2 - 10 = 8 - 10 = -2 correct

test for (6, 10)

10 = 4×6 - 10 = 24 - 10 = 14 wrong

so, D cannot be right.

I hope this helped! Have a good day! :D

Answer:

its the second option

Step-by-step explanation:

u can search for the formula for a right trapezoid and then solve it

x= -0.706, y= 4.529

The mathematical expression with unequal sides is known as an inequality in mathematics. Inequality is referred to in mathematics when a relationship results in a non-equal comparison between two expressions or two numbers. In this instance, any of the inequality symbols, such as greater than symbol (>), less than symbol (), greater than or equal to symbol (), less than or equal to symbol (), or not equal to symbol (), is used in place of the equal sign "=" in the expression. Polynomial inequality, rational inequality, and absolute value inequality are the various types of inequalities that can exist in mathematics.

3x+4y z 16

-4x+6y< 30

Solving the two equations we get,

x=-0.706, Y= 4.529

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The solution of the expression ( 9y² - 4x )( 9y ² + 4x) will be 81y⁴ - 16x².

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given expression ( 9y² - 4x )( 9y ² + 4x) will be solved as below:-

Use the formula:- ( a + b ) ( a - b ) = a² - b²

a = 9y²

b = 4x

( 9y² - 4x )( 9y ² + 4x ) = ( 9y² )² - ( 4x )²

Therefore, solution of the expression ( 9y² - 4x )( 9y ² + 4x) will be 81y⁴ - 16x².

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Answer:

16. G

17. C

Step-by-step explanation:

Answer:

primary school is a primary school

Answer:the meaning of primary school is elementary school basically grades Kinder-5th grade

Step-by-step explanation:

The total amount that Adele will have in her account at the end of the 3 years is $2,315.25.

Given that, principal=$2000, rate of interest=5% and time period=3 years.

The compound interest formula is used to calculate compound interest, sometimes known as "interest on interest". The formula for compound interest is [tex]A = P(1 + \frac{r}{100})^{nt}[/tex], where P= principal balance, r= interest rate, n= number of times interest is compounded per time period and t= number of time periods.

Now, A=2000(1+5/100)³

=2000(1+0.05)³

=2000(1.05)³

=$2,315.25

Therefore, the total amount that Adele will have in her account at the end of the 3 years is $2,315.25.

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Sandy's entertainment expenses are  228.38 percent of Jamie's insurance expenses.

Percentage can be described as the fraction of an amount expressed as a number out of hundred. Percentages are a measure of frequency.

The total amount spent by Sandy on an annual basis = (number of weeks in a year / 2) x amount spent on each visit

(52 /2) x $65

26 x $65 = $1690

Percent of the entertainment as a percentage of the insurance : (1690 / 740) x 100 = 228.38%

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