SOLVE SOLVE SOLVE SOLVE

An algebraic expression to represent the number of kilometres John ran in June month last year is 30a.

Given that, John runs the same number of kilometres each day.

We need to find an algebraic expression to represent the number of kilometres John ran in June month last year

An algebraic expression (or) a variable expression is a combination of terms by the operations such as addition, subtraction, multiplication, division, etc.

Let us assume that john is running 'a' kilometres per day.

We know that June month composed of total 30 days

So the algebraic expression for the number of kilometres John ran in June last year = Number of kilometres running per day × Number of days in the month of June

=a × 30=30a

Therefore, an algebraic expression to represent the number of kilometres John ran in June month last year is 30a.

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Answer:

3ab

Step-by-step explanation:

Triple means multiply by 3.

The product of ab is simply ab.

Answer: 3ab

HHe will owe the IRS and the amount is $4603.03

In this question, we have been given Mr. Sullivan's employer withheld $19,342.19 in federal income tax.

Elsner has determined that his tax is $23,945.22

We need to find whether he get a refund, or he owes the IRS.

From given information,

Employer withheld in federal taxes last year = $19,342.19

His tax amount is $23,945.22

So by considering the above information, the he owes the additional taxes because the tax amount i.e., $23,945.22 is more than the withheld amount i.e., $19,342.19

So, the additional taxes would be,

$23,945.22 - $19,342.19 = $4603.03

This difference represent the additional taxes owed.

Therefore, he will owe the IRS and the amount is $4603.03

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There is no such number that has the result is the same number written in base 7 and base 10.

Decimal and Octal numbers:

Decimal system is most familiar number system to the general public. It is base 10 which has only 10 symbols − 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9.

Whereas octal system is one of the number systems to represent numbers. It is base 8 which has only 8 symbols − 0, 1, 2, 3, 4, 5, 6, and 7.

Given,

When a three-digit number written in base 10 has its final digit moved to the beginning, the result is the same number written in base 7.

Here we need to find all such numbers.

Let abc be the starting number, where the catenated letters represent digits, and not factors like in the product

=> a x b x c

And each of a,b, and c can be elements of the list,

=> {1,2,3,4,5,6,7,8,9,0}

Except a≠0.

Since abc is a base-10 numeral, we can also write it as

=> 10²a + 10¹b + 10⁰c

Which can be expanded as,

=> 100a + 10b + c ----------------------(1)

Moving the last digits to the first slot makes the new number,

=> 100c + 10a + b------------------------(2)

So, here the value c≠0.

We know that, the digits in the base-10 numeral cab are identical to those of the base-7 numeral that is written as cab₇.

In the equation form it is equal to,

=> 7²c + 7¹a + 7⁰b

=> 49c + 7a + b ---------------------(3)

but since we're working in base 7 now, the digits a,b, and c cannot exceed 6.

Now, we want to solve for a, b, and c such that

By equalizing the equations 2 and 3,

=> 100c + 10a + b = 49c + 7a + b

=> 100c + 10a + b - 49c - 7a - b

=> (100 - 49)c + (10 - 7)a

=> 51c + 3a

=> 3 (17c + a)

Both a and c must be positive, but this equation has solution,

=> a = -17c

So there are no positive integers solutions, and hence no such number.

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Answer:

Shorter piece: 5    Longer piece: 11

Step-by-step explanation:

(2x+1)+(x)=16

3x+1=16

3x=15

x=5

Answer: -6

Step-by-step explanation:

-4(1)-2=-6

Answer:

f(1) = -6

Step-by-step explanation:

Hello!

Substitute 1 for x in the equation.

f(1) is -6.

Answer:

The correct pair matching each type of letter to its correct description would be as follows:

send it to favorably influence employers’ decision on hiring you - thank you letter

state how you meet the job requirements - cover letter

send 3-5 days after submitting your application or résumé - follow-up letter

express your desire to work for a particular company - letter of interest

A 'thank you' letter is a letter written to admit gratefulness for a favor that has been done.  It can also be written in anticipation of a favor to be done. Hence, writing it to a potential employer after an interview is a way of trying to influence the employer's decision on hiring you.

A cover letter, as it relates to job application, is a letter written to express how one meets the requirement for a job. In it, a job seeker would state their qualifications, skills, and experience as it relates to the job they are applying for.

A follow-up letter is usually written to follow up with a situation that one expects that a response should have been given or written just to further emphasize one's interest in something. Writing a follow-up letter after submitting an application for  a job is a way of reminding potential employers of one's desire to take up a job in their firm.

A letter of interest is written to show a desire to work in a particular organization or company irrespective of whether they have got a vacancy.

Step-by-step explanation:

Answer:

Step-by-step explanation:

In a standard normal distribution the probability of z being less than or equal zero is 0.5.

The standard normal distribution, also known as the z-distribution, is a type of normal distribution with a mean of zero and a standard deviation of one.

Some key features regarding the standard normal distribution are-

Now, as per the given question;

The mean of a standard normal distribution is 0.

Because this distribution is symmetric, the median is also equal to 0.

So, P ( z ≤ 0 ) = P ( z ≤ median ) = 0.5

Therefore, the standard normal distribution the probability of z being less than or equal zero is 0.5.

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Answer: 10. (2,4)  11. (4,9)  13. (2,-2)  14. (1,2)

Step-by-step explanation:

Just plugged em into desmos & double checked

Answer:  11. (4,0) 13. (2,-2)

Step-by-step explanation:

11.

[tex]\displaystyle\\\left \{ {{y=\frac{1}{2} x+7 } \atop {y=\frac{3}{2}x+3 }} \right. \\\\y=\frac{1}{2}x+7[/tex]

x | 0 | 4 |

y | 7 | 9 |

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

x | 0 | 2 |

y | 3 | 6 |

13.

[tex]\displaystyle\\\left \{ {{y=x-4} \atop {y=-x}} \right. \\\\y=x-4[/tex]

x |  0 | 4 |

y | -4 | 0 |

[tex]y=-x[/tex]

x | 0 |  4 |

y | 0 | -4 |

2(x+1)+4

Distributive property : According to this property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.

solve equation by using distributive property we should use laws of this property that are as follows:

Expand the equation. Multiply (distribute) the first numbers of each set, outer numbers of each set, inner numbers of each set, and the last numbers of each set. Combine like terms.

2(x + 1) + 4 = 8

2(x)+2(1)+4=8

2x+2+4=8

2x+6=8

2x=8-6

2x=2

x=2/2

x=1

so final conclusion is Option A  2(x+1)+4=8 is the right answer

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Answer:

∠ N = 10° , arc RS = 134°

Step-by-step explanation:

the measure of an inscribed angle is half the measure of its intercepted arc.

(5)

∠ N is an inscribed angle and we require arc LM

the measure of the arcs in a circle = 360°

note LN is the diameter so arc LN = 180°

Then

LM + MN + LN = 360°

LM + 160° + 180° = 360°

LM + 340° = 360° ( subtract 340° from both sides )

LM = 20°

then

∠ N = [tex]\frac{1}{2}[/tex] LM = [tex]\frac{1}{2}[/tex] × 20° = 10°

(6)

∠ Q is an inscribed angle so its intercepted arc is twice its measure

arc RS = 2 × 67° = 134°

34.3 Km /h was her average velocity in km/h.

What is average velocity?

average velocity = Displacement / time taken

            V = d/ l

V = 10.3 Km/0.300m = 34.3Km

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For the two triangles to be congruent by the side angle side (SAS) criterion, then the angle in between the two marked sides must be congruent.

Two triangles are said to be congruent if they have the same shape and their corresponding sides are also equal. Therefore, their corresponding angles would also be congruent.

For the two triangles to be congruent by the side angle side (SAS) criterion, then the angle in between the two marked sides must be congruent.

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Answer:

as shown on the screen shot

Answer:

14

Step-by-step explanation:

g(3)=(3)+3

g(3)=6

f(3)=-(3)-5

f(3)=-8

6-(-8)=14

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

Explanation:

We have these points

Focus on the x coordinates for now.

The x coordinates of A and B are -3 and x in that order. Add them up and divide in half to get the x coordinate of the midpoint M

(-3+x)/2 = 1

-3+x = 2*1

-3+x = 2

x = 2+3

x = 5

Repeat for the y coordinates

(6+y)/2 = 2

6+y = 2*2

6+y = 4

y = 4-6

y = -2

Therefore, the location of point B is (5, -2)

You can use a tool like GeoGebra to check your work.

Answer:

Step-by-step explanation:

Answer: Answer is 0.52

Step-by-step explanation:

So we have the fraction 13 Out of 25.

step 1: here we divide numerator(which is 13) by denominator(which is 25).

step 2: first we make denominator 100 by multiplying by 25 with 4 and also 13 with 4.

ie. [tex]\frac{13 * 4}{25 * 4}[/tex]

step 3: we get [tex]\frac{52}{100}[/tex]

step 4: now we can easily write the decimal fraction. ie. 0.52

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Answer:

Step-by-step explanation:

4 rides

Answer:

4 rides is the answer to this question

Answer:

gegrgryyrryryryyryryr

The solution of the given linear equation 2r−2p= n in two variables for p is r -n/2.

According to the given question.

We have a linear equation in two variables 2r - 2p = n.

Here we have to solve the given linear equation 2r - 2p = n in two variables for p.

So, the solution of the equation 2r - 2p = n for p is given by

2r - 2p  = n

⇒ 2(r - p) = n    (taking 2 as a common)

⇒ r - p = n/2     (dividing both the sides by 2)

⇒ r - n/2 - p = 0     (subtracting n/2 from both the sides)

⇒ r - n/2 = p            (adding p both the sides)

⇒ p = r -n/2

Hence, the solution of the given linear equation 2r−2p= n in two variables for p is r -n/2.

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Answer:

13/21

Step-by-step explanation:

Solving steps

13/18 × 6/7

Simplify the expression

13/3 × 1/7

Multiply

Solution:

13/21

Alternative Form

0.619047

The answer in simplest form 13/18 x 6/7 = 13/21

To find the answer in simplest form 13/18 x 6/7

Simplify this, multiple nominator to nominator and denominator to denominator

(13 × 6)/(18 × 7) = 78/126

Now, reduce the fraction divide by 6,

we get,  78/126 = 13/21

Therefore, the final answer is 13/21.

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Answer:

6x+25

Step-by-step explanation:

6 times a number. Let x represent that number.

6x

It also says the to add 25 to the expression.

Add 25 to 6x.

6x+25

Hope this helps!

Please mark as brainliest if correct!

Answer:  I will really try to get answers just wait

Step-by-step explanation:

1. The values which the given number sentences true are:

a) 11 b) 5 c) 36

2. After substituting the value of  x we get the value for y as :

a) 6 b) 0 c) 7 d) 15

3. The number sentences are :

a) x ₋ y = 25

b) 5 × p = q ÷ 2

c) 2y ₋ 14 = 6

d) 15 × 4 = 4 ₋ (x₊y)

Given in the first bit we need to find the variables:

a) h ₊ 8 = 19

arrange the constants on one side.

h = 19 ₋ 8

h = 11

b) 2p ₋ 6 = 4

arrange the constants on one side.

2p = 4 ₊ 6

2p = 10

p = 10/2

p = 5

c) 1/3 y = 12

cross multiply.

y = 36

Now in the second exercise we are asked to substitute the x value and get the value of y.

a) y = 3x ₊ 2 if x =8

substitute x value in the equation.

y = 3(8) ₊ 2

y = 24 ₊ 2

y = 26

b) y = 4x ₋ 1 if  x = 1/4

y = 4(1/4) ₋ 1

y = 1 ₋ 1

y = 0

c) y = 0.2x ₊ 5 if x = 10

y = 0.2(10) ₊ 5

y = 2 ₊ 5

y = 7

d) y = 10x ₊ 12 if x = 0.3

y = 10(0.3) ₊ 12

y = 3 ₊ 12

y = 15

In the last third bit we need to frame equations for the given word problems.

a) The difference between two numbers is 25.

let the two numbers be x and y.

x ₋ y = 25.

b) The product of 5 and p is equal to quotient of q and 2.

5 × p = q ÷ 2

c) The difference between 14 and 2y is equal to 6.

2y ₋ 14 = 6

d) The product of 15 and 4 is equal to four less than the sum of x and y.

15 × 4 = 4 ₋ (x₊y)

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Answer:

[tex]-\frac{6x^4y^3}{z^7}[/tex]

Step-by-step explanation:

[tex]=-6x^4y^3\frac{1}{z^7}[/tex] <- Apply the exponent rule.
[tex]=-\frac{6x^4y^3\cdot \:1}{z^7}[/tex] <- Apply the fraction rule.

[tex]=-\frac{6x^4y^3}{z^7}[/tex]

Answer:

Quotient = 0; Remainder = 16

Step-by-step explanation:

Answer:

x = 4

Step-by-step explanation:

4x + 2(x + 6) = 36

4x + 2x + 12 = 36

6x  = 36 - 12

6x = 24

x = 24

      6

x = 4

Answer: 5 multiples of 9

Step-by-step explanation:

First take the difference between 100 and 60.

100-60=40

Then divide the difference by 9.

40/9=4.44

4.44 rounded up is 5 ==> 5 multiples of 9

Primero toma la diferencia entre 100 y 60.

100-60=40

Luego divide la diferencia entre 9.

40/9=4,44

4.44 redondeado es 5 ==> 5 múltiplos de 9

Answer:

5

Step-by-step explanation:

9*7 = 63

9*8 = 72

9*9 = 81

9*10 = 90

9*11 = 99

Hay 5 múltiplos de 9 entre los números 60 y 100

The inverse of the function is; f⁻¹(x) = - 15 ± √(x + 225)

We have been given a quadratic function f(x) =  x(x + 30) and we need to restrict the domain such that it becomes a one to one function.

Now, the given function can also be written in vertex form as;

f(x) = (x + 15)² - 225

We know that vertex of this quadratic function occurs at (-15, -225).

Further, we know that range of this function is (-225, ∞).

If we restrict the domain of this function to either (-∞, -225) or (-225, ∞) , it will become one to one function.

Let us know find its inverse;

y =  (x + 15)² - 225

Upon interchanging x and y, we get:

x =  (y + 15)² - 225

Solving for y gives;

y = - 15 ± √(x + 225)

Thus, the inverse of the function is;

f⁻¹(x) = - 15 ± √(x + 225)

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