Find value of x
Find value of y

Answer:

29π/12.

Step-by-step explanation:

Multiply by π/180

= 435π/180

= 29π/12 radians.

Answer:Mean  mark  of whole class= 74.8

Step-by-step explanation:

Mean  = Total marks of student / Number of students

Total marks of boys = Number of boys x Mean mark for boys

=15 x 70=1,050

Total marks of girls  = Number of girls  x Mean mark for girls

=10 x 82=820

Mean of whole students  = Total marks of student / Number of students

= (1,050 + 820)/ (10+15)

=1870/25

=74.8

Answer:

61.45

Step-by-step explanation:

Answer:

$61.40

Step-by-step explanation:

I solved this question by using the O.P.N if you don't know what the  O.P.N Chart is here is what it means.

The O represents the original price.

The P represents the percent

and Finally the N represents the New cost.

Use the image below to see how to use the O.P.N Chart and how I solved this question.

If you have any other questions  call me using my phone number  "551 - 263 - 6579" or "+ 551 - 263 - 6579"

Answer:

yes

Step-by-step explanation:

yes but not a postitive one

Answer:

i think so yeah

Step-by-step explanation:

Answer:

25/6

Step-by-step explanation:

You first multiply the denominator by the whole number and add the numerator.

6×4+1=25/6

I hope this helps you:)

Answer:

20m-8n

Step-by-step explanation:

0.4*50m=20m

20+_

0.4*-20n=-8n

20m+-8n

20m-8n

Answer:

A. 4,200,000 should be your answer

Step-by-step explanation:

hope this helps you

Answer:

A 4,200,000

Step-by-step explanation:

take 4.2 and move the decimal point to the right 6 times. Then fill in the blank spaces with zeros to get the final answer

Answer:

uhhh what am i supposed to answer

Step-by-step explanation:

Answer:

last digit should be 0 for example 20,30,40 they have last digit 0 hence they are divisible by 10

Answer:

2,5 and 2,7 I believe

Step-by-step explanation:

It should be 2,5 and 2,7

Answer:

2562.50

Step-by-step explanation:

2.5=0.025

0.025*2500=62.50

2500+62.50=2562.50

Answer:

53,320 gross income

50,120 adjusted gross income

39,370 taxable income

Step-by-step explanation:

The other side would be 15 meters.

Answer:

b = 13.27

Step-by-step explanation:

b^2 + 7^2 = 15^2

b^2 + 49 = 225

b^2 = 176

b = sqrt(176)

b = sqrt(16 * 11)

b = 4sqrt(11)

b = 13.27

Answer:

A) 4.77%.

B) 5%.

Step-by-step explanation:

Given that Adam borrows $ 6,000 from his parents today for university fees and he promises to pay a lump sum of $ 6,900 in 3 years' time, to calculate the effective annual interest rate and the equivalent simple annual interest rate the following calculations must be performed:

A)

6,900 = 6,000 x (1 + X / 1) ^ 3x1

6,900 = 6,000 x 1X ^ 3

6,900 = 6,000 x 1 x 4.77 ^ 3

Thus, the interest rate of said investment is 4.77% per year.

B)

(6,900 - 6,000) / 3 = 300

6,000 = 100

300 = X

300 x 100 / 6,000 = X

30000 / 6,000 = X

5 = X

Thus, the simple interest rate would be 5% per year.

Answer:

2.964 is the answer.

9514 1404 393

Answer:

  (a, b) = (4, 8)

Step-by-step explanation:

Writing both equations in general form, we have ...

  6a -5b +16 = 0

  9a -7b +20 = 0

__

We can make a little array of the numbers in the equations:

  [tex]\left[\begin{array}{cccc}6&-5&16&6\\9&-7&20&9\end{array}\right][/tex]

Note that the first column is repeated at the end.

Now, we can "cross multiply" and form the differences of products in adjacent columns:

  d1 = (6)(-7) -(9)(-5) = 3 . . . . . . left 2 columns

  d2 = (-5)(20) -(-7)(16) = 12 . . . . . middle 2 columns

  d3 = (16)(9) -(20)(6) = 24 . . . . . right 2 columns

Then the solutions to these equations are the solutions to ...

  1/d1 = a/d2 = b/d3

  a = d2/d1 = 12/3 = 4

  b = d3/d1 = 24/3 = 8

The values of a and b are 4 and 8, respectively.

_____

Additional Comment

There are a number of ways to solve linear equations. This is similar to what you would get by doing "elimination". It is also similar to Cramer's Rule and Vedic math techniques. The number of math operations is about the same*. Once you learn the technique, it is fairly fast and requires no decision-making. My other favorite method is using a graphing calculator.

__

* This method uses 6 multiplications, 3 subtractions, 2 divisions. In the general case of "elimination", where the coefficients are not "nice" (as here), you would perform 7 multiplications, 4 subtractions and 2 divisions. This method is less work when the coefficients don't cancel easily.

Answer:

BRAINLIEST

Step-by-step explanation:

Answer:11.7

Step-by-step explanation:

1. Recognize variables. Starting price is 9, it’s increasing by 1.5% each year, the question asks for the price in 20 years.

2. Convert percentage to decimal. Most calculators won’t understand multiplying by percentages, and instead will understand multiplying by decimals. A decimal is something we can easily work with. It is more commonly taught to work with decimals as well. With that said 1.5% equals .015. (The number in the ones place in the percentage is always in the hundredths place when converted to a decimal, the tens to the tenths, the hundreds in the percentage to the ones place in the decimal, the hundredths in the percentage to the ten thousandths in the decimal. Basically, every individual number [the 5 in 1.5] moves two spaces to the right when going from percentage to decimal form, likewise two to the left going from decimal to percentage form. 23%=.23, 104%=1.04, 0.5%=.05, 1.234%=.01234)

3. Make your equation

20(9*(.015))+9

+9 is your starting point

9*(.015) gives you the amount the price increases per year

20 is multiplied then to that increased price for the next 20 years

4. Crunch em numbers

PEMDAS

The cost of the item in 2030 is $10.449.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 3 = 9 is an equation

We have,

Cost of an item = $9

The item increases per year = 1.5%

Now,

The equation for the cost of the item after x years.

= 9[tex](100 + 1.5)^x[/tex]

Now,

There are 10 years from 2010 to 2030.

So,

x = 10

= 9 [tex](1 + 0.015)^{10}[/tex]

= 9 x [tex]1.015^{10}[/tex]

= 9 x 1.161

= 10.449

Thus,

The item will cost $10.449 in 2030.

Learn more about equations here:

https://brainly.com/question/17194269

#SPJ2

Answer:

The two are NOT THE SAME function.

Step-by-step explanation:

The linear function that is expressed as the equation y = -x + 3, is given in the slope-intercept form, y = mx + b, where

m = slope = -1

b = y-intercept = 3

To know if this function is the same with function expressed in the table of values, let's find the slope (m) and y-intercept (b) of the function represented as a table.

✔️Slope = change in y / change in x = ∆y/∆x

Using two pairs of values form the table, say, (-4, 1) and (-2, -1):

Slope (m) = (-1 - 1) / (-2 - (-4)) = -2/2 = -1

slope (m) = -1

To find b, substitute (x, y) = (-4, 1) and m = -1 into y = mx + b,

Thus:

1 = (-1)(-4) + b

1 = 4 + b

1 - 4 = b

-3 = b

b = -3

Write the equation for the table of values by substituting b = -3 and m = -1 into y = mx + b

Thus:

y = (-1)x + (-3)

y = -x - 3

As you can see, the equation of the function of the table of values is different from the equation of the function that was stated earlier.

Therefore, we can conclude that the two functions are not the same function expressed in different ways.

Answer:

y+3+4y+16 : Apply the distributve property

5y+19 : Add the like terms

Hope this was helpful!

Answer:

400

Step-by-step explanation:

12 / 0.03

Divide 12 by 3 = 4.

Move the decimal place over 2 to the right.

400.

Answer:

[tex]q(x)= \frac{1}{3} x -\frac{13}{3}[/tex]

Step-by-step explanation:

So you have (16, 1)

When two linear functions are parallel, they have the same slope.

So function q also has a slope of 1/3x. You have a set of points so you can plug them in a slope intercept equation to find b.

y= mx+b

m= slope

y= y-intercept

1= 1/3(16) +b

1 - (16/3) = b

b= -13/3

so then, [tex]y= \frac{1}{3} x -\frac{13}{3}[/tex]