Michael is 4 times as old as Brandon and is also 27 years older than Brandon.
How old is Brandon?

Answers

Answer 1

Answer:

9

Step-by-step explanation:

b = Brandon

4b=b+27

-b   -b

-------------

3b = 27

----   ----

3      3

b = 9

Brandon is 9 years old.


Related Questions

give that 1/x+2/y=1/2, express y in terms of x and 2

Answers

9514 1404 393

Answer:

  y = 4x/(x -2)

Step-by-step explanation:

Subtract 1/x

  2/y = 1/2 -1/x

Combine terms

  2/y = (x-2)/(2x)

Cross multiply

  4x = y(x -2)

Divide by the coefficient of y

  y = 4x/(x -2) . . . . simplest

  y = 2^2/(x -2) . . . . in terms of x and 2

What percent of 30 is 3?

Answers

Answer:

10%

Step-by-step explanation:

3/30 × 100 = 100

Therefore 3 is 10% of 30

3 is 10 percent of 30.

To determine what percent of 30 is 3, we can use the concept of finding a proportion or ratio.

The proportion can be set up as follows:

3 is what percent of 30?

Let x represent the unknown percentage.

Using the formula for finding the percentage, we can write:

x/100 = 3/30

To simplify the equation, we divide both sides by 3:

x/100 = 1/10

To isolate x, we multiply both sides by 100:

x = (1/10)100

Simplifying the expression, we have:

x = 10

Therefore, 3 is 10% of 30.

To understand this calculation, we can interpret it as follows: If we consider 30 as the whole or 100%, then 3 is a fraction of that whole. By dividing 3 by 30 and multiplying by 100, we find that 3 is equivalent to 10% of 30.

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You are considering the services of three different employment agencies, all of which can get you a job that starts at $2,000 a month. Agency A charges 50 percent of the first month's gross salary. Agency B charges 10 percent of your monthly salary for the first six months. Agency C charges a $100 up-front fee and a flat fee of $500 when you are placed. Compare the three choices. Which of these offers the least expensive overall fee?​

Answers

Answer:

Agency C offers the least expensive overall fee

Step-by-step explanation:

Alone from gross salary, you would make 24000 a year.

Agency A

24000 - ( 2000 x 0.5)

= 23,000

$1000 fee

Agency B

24000 - ( 2000 x 0.1 ) x 6

= 24000 - 200 x 6

= 24000 - 1200

= 22,800

$1200 fee

Agency C

24000 - (500 + 100)

= 24000 - 600

= 23,400

$600 fee

Four friends go to the movies. How many different ways can they sit in a row?

Answers

Answer:

120 ways

..................

Answer:

24

Step-by-step explanation:

4  friends

1st seat: 4 different people could sit here

Now there are 3 friends left

2nd seat: 3 different people could sit here

Now there are 2 friends left

3rd seat: 2 different people could sit here

Now there are 1 friends left

4th seat: 1 different people could sit here

4*3*2*1

24 ways

Nick needs one more class to complete his schedule. There are 5 writing classes, 3 history classes, and 4 mathematics classes that can fit into his schedule. If Nick chooses a class at random, what is the probability that he chooses a history class? Give your answer as a fraction.

Answers

Answer:

1/4

Step-by-step explanation:

Probability = 3/(5+3+4)

= 3/12 or 1/4

Each side of a regular polygon is 3.2 cm in length. The perimeter of the polygon is 19.2 cm. How many sides does the polygon have? What is the name of the polygon?​

Answers

Answer:

The polygon consists of 6 sides and the given polygon is a regular hexagon.

Step-by-step explanation:

The definition of perimeter is the total measure of the side lengths of a polygon. If the polygon said is regular, it means the polygon has equal sides and equal angles.

So the perimeter of a regular polygon is given by the formula:

P = (length of one side) x (number of sides)

In this case, the perimeter of the polygon is 19.2 cm and one side is equal to 3.2 cm.

DIVIDE (use the formula but in division to maintain a proportonal relationship):

19.2 ÷ 3.2 = 6

You could alsk check if its correct using the formula:

19.2 = 3.2 x 6 (TRUE)

A 6 sided regular polygon is known as a HEXAGON.

Hope this helps!

Please answer this and show the work/explain for me
2/7m - 1/7 = 3/14

Answers

*******************************

A 100.0 m long polymer cable of uniform circular cross section and of diameter 0.4cm has a mass of 1885.0 gm. What is the mass density, of the polymer in kg/m3?

Answers

The answer is option b.15

Don't forget put heart ♥️

The mass density in kg/m3 will be -  15 x [tex]10^{-2}[/tex] Kg/m3.

We have a 100.0 m long polymer cable of uniform circular cross section and of diameter 0.4cm has a mass of 1885.0 gm.

We have to determine its mass density in kg/m3.

What is Mass density ?

The amount of mass per unit volume present in the body is called its mass density.

According to question, we have -

Length of polymer cable = 100.0 m

diameter of polymer cable = 0.4 cm = 0.004 m

Therefore, its radius = 0.002 m

The mass density of the wire will be -

[tex]\rho =\frac{m}{\pi r^{2} l}[/tex]

[tex]\rho[/tex] = [tex]\frac{1885}{3.14 \times0.002 \times 0.002 \times 100 }[/tex]

[tex]\rho = \frac{1885}{0.001256}[/tex] = 1500796.1 g/m3

1 Kg = 1000g

1g = 1/1000kg

1500796.1g = 1500.7 Kg = 15 x [tex]10^{-2}[/tex] Kg

Therefore, mass density = 15 x [tex]10^{-2}[/tex] Kg/m3

Hence, the mass density in kg/m3 will be -  15 x [tex]10^{-2}[/tex] Kg/m3.

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Find f(3) given f(x) = -3x3 + 2x2 + 24

Answers

A. -39 is the correct answer!

Answer:

-39

Step-by-step explanation:

If two resistors with resistances R1 and R2 are connected in parallel, as in the figure below, then the total resistance R, measured in ohms (Ω), is given by 1/R = 1/R1 + 1/R2 . If R1 and R2 are increasing at rates of 0.3 Ω/s and 0.2 Ω/s, respectively, how fast is R changing when R1 = 60 Ω and R2 = 80 Ω? (Round your answer to three decimal places.)

Answers

The rate of change of R with time in the given equation is 0.004 ohm/s

Given parameters:

[tex]\frac{1}{R} = \frac{1}{R_1} + \frac{1}{R_2} \\\\\frac{dR_1}{dt} = 0.3 \ ohm/s\\\\\frac{dR_2}{dt} = 0.2 \ ohm/s\\\\R_1 = 60 \ ohms\\\\R_2 = 80 \ ohms[/tex]

To find:

The rate of change of R with time in the given equation.

First determine the value of R from the given equation;

[tex]\frac{1}{R} = \frac{1}{R_1} + \frac{1}{R_2} \\\\\frac{1}{R} = \frac{1}{60} + \frac{1}{80} \\\\\frac{1}{R} = \frac{4 + 3}{240} \\\\\frac{1}{R} = \frac{7}{240} \\\\R = \frac{240}{7} = 34.286 \ ohms[/tex]

Finally, to determine the rate of change of R, differentiate the given equation.

[tex]\frac{-1}{R^2} \frac{dR}{dt} = \frac{-1}{R_1^2} \frac{dR_1}{dt} - \frac{1}{R_2^2} \frac{dR_2}{dt} \\\\\frac{1}{R^2} \frac{dR}{dt} = \frac{1}{R_1^2} \frac{dR_1}{dt} + \frac{1}{R_2^2} \frac{dR_2}{dt}\\\\\frac{dR}{dt} = R^2(\frac{1}{R_1^2} \frac{dR_1}{dt} + \frac{1}{R_2^2} \frac{dR_2}{dt})[/tex]

[tex]\frac{dR}{dt} = 34.286(\frac{1}{(60)^2} \times 0.3 \ \ \ + \ \ \ \frac{1}{(80)^2} \times 0.2)\\\\\frac{dR}{dt} = 34.286(8.333 \times 10^{-5} \ \ \ + \ \ \ 3.125 \times 10^{-5})\\\\\frac{dR}{dt} = 34.286(11.458 \times 10^{-5})\\\\\frac{dR}{dt} = 0.00393\\\\\frac{dR}{dt} \approx 0.004 \ ohm/s[/tex]

Thus, from the given equation the rate of change of R with time is 0.004 ohm/s

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Answer:

the verified answer is wrong.

Step-by-step explanation:

OP forgot to square R (34.286)

The perimeter of a rectangular Garden is 80 feet the garden is three times as long as it is wide the system of equation can be used to find the width in the length

Answers

Answer:

10 wide 30 long

Step-by-step explanation:

1. Start guess and check.

2. When you get to 10 follow this:

10x3=30. 30+30+10+10=80

80=80

Plzzz I’m giving a away 25 points

Answers

Answer:

sin ß = opposite / hypotenuse

sin45° = x / 4√2

Cross multiply

x = sin 45° × 4√2

x = √2/2 × 4√2

x = 4 × √2 ×√2 / 2

x = 4 × 2 / 2

x = 8 / 2

x = 4

Use the elimination method to solve this system. − 4 x − 2 y = − 12, 4 x + 8 y = − 24

Answers

Answer:

x = 6; y = -6

Step-by-step explanation:

-4x - 2y = -12

4x + 8y = -24

Add the two equations, so x is eliminated:

6y = -36

6y/6 = -36/6

y = -6

Plug in y, to solve for x

-4x - 2y = -12

-4x - 2(-6) = -12

-4x +12 = -12

-4x = -12 -12

-4x = -24

-4x/-4 = -24/-4

x = 6

Answer from Gauthmath

What is the arithmetic mean of the following numbers?
3, 5, 6, 7, 9,6,8

Answers

Answer is 6.28

3+5+6+7+9+6+8=44

44:7=6.28

Thank you:)

Answer:

6.2

Step-by-step explanation:

to fine the mean of numbers

1) add the given no.........3+5+6+7+9+6+8 which is 44

2)divide the result by the amount of the numbers....44/7

the answer will be 6.285.....

What is

88x3-7+198-34x15+76-126=

Answers

-105

Multiply first, then subtract, then add.

Answer: the answer would be -105.

For the right angle, find the missing quantity indicated below the figure.

Answers

Answer:

The Answer is 28.........

lyng
whose zeros and
Zeros: - 4, 4, 8; degree: 3
Need this in polynomial form

Answers

So first, let’s put this into factored form. Note, imagine as if there were an equal sign after each zero:

(x+4)(x-4)(x-8)

Expand:

x^3-8x^2-16x+128

As you can notice, the degree — as mentioned in the original question — is in fact 3. Let me know if you have further questions.

In each figure below, find m<1 and m<2 if a is parallel to b. You don't have to show work.

please help i need this by tonight will give brainliest

Answers

Answer:

m <5 = 71 degrees.

m <8 = 109 degrees.

What is the order of rotational symmetry for the figure?
A. 4 or more
B. 2
C. 1
D. 3

Answers

9514 1404 393

Answer:

  C.  1

Step-by-step explanation:

The only rotation that maps the figure to itself is rotation by 360°. The rotational order is 1.

Please help 20 points. I will give Brainly to who ever get it right.

Answers

The range is the an interval on the y-axis where the function is defined.

You can see that your function is y-wise going all the way down to negative infinity but then stops and continues the path along 2 on the upper bound.

The inequality describing the interval is thusly B,

[tex]-\infty\lt y\lt2[/tex]

Hope this helps :)

For Americans using library services, the American Library Association claims that at most 67% of patrons borrow books. The library director in Owensboro, Kentucky feels this is not true, so she asked a local college statistic class to conduct a survey. The class randomly selected 100 patrons and found that 82 borrowed books. Did the class demonstrate that the percentage was higher in Owensboro, KY? Use α = 0.01 level of significance. What is the possible proportion of patrons that do borrow books from the Owensboro Library?

Answers

Answer:

The p-value of the test is 0.0007 < 0.01, which means that the class demonstrates that the percentage was higher in Owensboro, KY.

The possible proportion of patrons that do borrow books from the Owensboro Library is 0.82.

Step-by-step explanation:

For Americans using library services, the American Library Association claims that at most 67% of patrons borrow books. Test if the proportion is higher in Owensboro, KY.

At the null hypothesis, we test if the proportion is of at most 0.67, that is:

[tex]H_0: p \leq 0.67[/tex]

At the alternative hypothesis, we test if the proportion is of more than 0.67, that is:

[tex]H_1: p > 0.67[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

0.67 is tested at the null hypothesis:

This means that [tex]\mu = 0.67, \sigma = \sqrt{0.67*0.33}[/tex]

The class randomly selected 100 patrons and found that 82 borrowed books.

This means that [tex]n = 100, X = \frac{82}{100} = 0.82[/tex]

Value of the test statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{0.82 - 0.67}{\frac{\sqrt{0.67*0.33}}{\sqrt{100}}}[/tex]

[tex]z = 3.19[/tex]

P-value of the test and decision:

The p-value of the test is the probability of a finding a sample proportion of 0.82 or above, which is 1 subtracted by the p-value of z = 3.19.

Looking at the z-table, z = 3.19 has a p-value of 0.9993.

1 - 0.9993 = 0.0007

The p-value of the test is 0.0007 < 0.01, which means that the class demonstrates that the percentage was higher in Owensboro, KY.

What is the possible proportion of patrons that do borrow books from the Owensboro Library?

The sample proportion of 0.82.

Which phrase describes the linear relationship between the values of x and y shown in the table?

x l y
-3 l 9
0 l 0
3 l -9

A. y is 3 times x
B. x is 6 more than y
C. y is 12 more than x
D. y is -3 times x

Answers

Answer:

The answer is D. Y is -3 times x

The phrase which describes the linear relationship between the values of x and y is y is -3 times x.

What is linear relationship between two variables?

A linear relationship is any relationship between two variables that creates a line when graphed in the x y -plane.

According to the given question.

We have a linear relationship between x and y.

From the first we can see that

When,

x = -3 and y = 9

⇒ y = -3x = -3 × (-3) = 9

when,

x = 0, and y = 0

⇒ y = -3x = -3 × 0 = 0

when,

x = 3, and y = -9

⇒ y = -3x = -3 × 3 = -9

Hence, this shows that  y is -3 times x.

Thus, option D is correct.

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A company pays $20 per hour for up to 8 hours of work, and $30 per hour for overtime hours (hours beyond 8 hours). For up to 8 hours worked, the equation for total pay (y) for hours worked (x) is y = 20x. For over 8 hours worked, what is the equation for total pay (y) as a function of total hours worked (x)?

Answers

Answer: y = 30x

Step-by-step explanation:

Because we are talking about over 8 hours. The question states that you get 30$ per hour for overtime hours. That means if you work over 8 hours your dollars per hour increases to 30. So because the amount of dollars increases to 30 you can infer that all you have to do is make the same equation as the 20 dollar's per hour equation. Except you put 30 making it y = 30x.

The number of people attending graduate school at a university may be
modeled by the quadratic regression equation y = 8x2 - 40x+6, where x
represents the year. Based on the regression equation, which year is the best
prediction for when 1206 people will attend graduate school?
A. Year 15
B. Year 18
C. Year 24
D. Year 20

Answers

Answer:

15 years

Step-by-step explanation:

Given the quadratic regression model:

y = 8x² - 40x+6 ; where

y = Number of people attending graduate school ;

x = number of years

The value of x when y = 1206

The equation becomes :

1206 = 8x² - 40x+6

1206 - 6 = 8x² - 40x

1200 = 8x² - 40x

Divide through by 8

150 = x² - 5x

x² - 5x - 150 = 0

x² - 15x + 10x - 150 = 0

x(x - 15) + 10(x - 15)

x - 15 = 0 or x + 10 = 0

x = 15 or x = - 10

Number of years can't be negative,

Hence, x = 15 years

Quantitative noninvasive techniques are needed for routinely assessing symptoms of peripheral neuropathies, such as carpal tunnel syndrome (CTS). An article reported on a test that involved sensing a tiny gap in an otherwise smooth surface by probing with a finger; this functionally resembles many work-related tactile activities, such as detecting scratches or surface defects. When finger probing was not allowed, the sample average gap detection threshold for m = 8 normal subjects was 1.71 mm, and the sample standard deviation was .53; for n = 10 CTS subjects, the sample mean and sample standard deviation were 2.53 and .87, respectively.

Required:
a. Does this data suggest that the true average gap detection threshold for CTS subjects exceeds that for normal subjects?
b. State and test the relevant hypotheses using a significance level of 0.01.

Answers

Answer:

Hence, data does not suggest the true average gap detection threshold for CTS subjects exceeds that for normal subjects.

Step-by-step explanation:

H0 : μ1 = μ2

H1 : μ1 < μ2

Given :

m = 8 ; x1 = 1.71 ; s1 = 0.53

n = 10 ; x2 = 2.53 ; s2 = 0.87

The test statistic :

(x1 - x2) / √(s1²/m + s2²/n)

(1.71 - 2.53) / √(0.53²/8 + 0.87²/10)

-0.82 / √0.1108025

Test statistic = - 0.82 / 0.3328700

Test statistic = - 2.463

The degree of freedom using the conservative approach :

Smaller of (10 - 1) or (8 - 1)

df = 7

TCritical value(0.01, 7) = 2.998

Decision region :

Reject H0 if |Test statistic| > |critical value|

Since, 2.463 < 2.998 ; WE fail to reject H0 ; Hence result is not significant at α = 0.01

Use AABC to find the value of sin B.

Answers

Answer:

35/37

Step-by-step explanation:

sin(B)=(AC)/(AB) = 35/37

time in months it would take for a $1500 dollar investment in a TFSA to grow to $1545 if the simple interest at a rate paid was 2% per annum.

Answers

It would take 17 months and 14 days for the investment to grow to $1545.

To determine the time in months it would take for a $ 1500 dollar investment in a TFSA to grow to $ 1545 if the simple interest at a rate paid was 2% per annum, the following calculation must be performed:

First, you must obtain 2% of 1545 to determine the interest generated per year.

1545 x 2/100 = X 30.9 = X

Then, a cross multiplication must be carried out considering the number of months it took to generate said interest, and compare it with the interest that arises from the subtraction of 1545 - 1500, that is, 45.

30.9 = 1245 = X45 x 12 / 30.9 = X540 / 30.9 = X17.47 = X 1 = 300.47 = X14 = X

Therefore, it would take 17 months and 14 days for a $ 1500 dollar investment in a TFSA to grow to $ 1545.

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PLZ HELP ASAP
A student poll on campus wanted to analyze the correlation of the Number of calories consumed per day to the weight of a student. in the form of a paragraph describe which visual display is most appropriate to represent the data. explain your reasons for choosing this type of visual display.

Answers

Answer:

Each kids weight in a chart

Step-by-step explanation:

I chose this because its the most organized way of doing that

The retail of a price of an LCD TV was $7000 what was the original price before the GST of 10% was added?

Answers

Answer:

$636.36

Step-by-step explanation:

7000 = 110% of total cost

Try to get it to 100 percent

700/11 = 63.(63)

63.(63)*10= 636.36

Given the following coordinates complete the glide reflection transformation.​

Answers

9514 1404 393

Answer:

A"(-1, -2)B"(4, 0)C"(6, -3)

Step-by-step explanation:

The reflection over the x-axis is ...

  (x, y) ⇒ (x, -y)

The shift left 3 units is ...

  (x, y) ⇒ (x -3, y)

So, the two transformations together will be ...

  (x, y) ⇒ (x -3, -y)

  A(4, 2) ⇒ A"(1, -2)

  B(7,0) ⇒ B"(4, 0)

  C(9, 3) ⇒ C"(6, -3)

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