what is 2+2? tell me please
Use the Distributive Property to expand the expression.
0.4(50m - 20n)
The simplified expression is
Answer:
20m-8n
Step-by-step explanation:
0.4*50m=20m
20+_
0.4*-20n=-8n
20m+-8n
20m-8n
If 5b = 6a + 16 and 9a = 7b - 20, then what are the values of a and b?
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.
The admission fee at an amusement park is 1.5 dollars for children and 4 dollars for adults. On a certain
day 369 people entered the park, and the admission fees collected totaled 1016 dollars. How many
children and how many adults were admitted?
Answer:
184 children and 185 adults!
Step-by-step explanation:
So let's suppose there are x children who entered the park that day, then there will be (369-x) adults who entered the park that day.
So we have an equation!
1.5x+4(369-x)=1016
1.5x+1476-4x=1016
Then we swivel things around a bit.
1476-1016=4x-1.5x
2.5x=460
x=184
There are 184 children in that park that day! Wow, that's a lot of people, next we calculate the number of adults:
369-184
=185
OK, 184 children and 185 adults!
Hoped I helped! Have a nice day!
P.S. Help my friend!: https://brainly.com/question/22136280
P.P.S Is this college stuff? Cause I'm in 6th grade, and I don't have any problem doing it. :)
which of these numbers is irrational?
In 2010 an item costs $9.00. The price increases by 1.5% each year. How much will it be in 2030?
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.
What is an equation?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
10 girls and 15 boys sit a test.
The mean mark for the boys is 70. The mean mark for the girls is 82.
Work out the mean mark for the whole class.
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
I need help getting the answer!
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.
2. 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. Calculate the following quantities
for the repayment arrangement:
(a) the effective annual interest rate.
(b) the equivalent simple annual interest rate.
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.
2. What polynomial must be added to (ab - 5) to obtain (5 - ab)?
last one for today......
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
1.What is a tautology?
Answer:
the saying of the same thing twice in different words, generally considered to be a fault of style (e.g., they arrived one after the other in succession ).
How do I do a fraction number line
You downloaded a game to your computer. You have a 7575 -minute free trial of the game. It takes 6 minutes to set up the game and 77 minutes to play each level. How many levels you can play for free? PLZ HURRY AND HELP ME
PLEASE HELP WITH #4 and #5 (Gina Wilson) Rectangles All Things Algebra
divisibility test for 10
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
Including an 18% tip, Ms. Guy and her friends spent $74.93 on dinner. What was the cost of the dinner excluding the tip?
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"
does a debit card use a pin or a credit card, or do both?
combine like terms y+3+4(y+4)
please show your work
Answer:
y+3+4y+16 : Apply the distributve property
5y+19 : Add the like terms
Hope this was helpful!
A earned wages of $34400, received $2300 in interest from a savings account, and contributed $2900 to a tax-deferred retirement plan. was entitled to a personal exemption of $3800 and had deductions totaling $6090. Find gross income, adjusted gross income, and taxable income.
Answer:
53,320 gross income
50,120 adjusted gross income
39,370 taxable income
Step-by-step explanation:
What is the value of y in this diagram?
A. 61
B. 58
C. 21
D. 138
Answer:
BRAINLIEST
Step-by-step explanation:
What is 4 1/6 as a mixed number
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:)
What is five times less than the toyal cost of 69 dollars.
What number would go in the boxes to have the sum of 4?
Answer:
2.964 is the answer.
Solve the equation: 25-3x=40
A. -15
B. -5
C. -2
D. -4
can someone help please
Consider the triangle below. One of the side lengths is unknown.
Find the length of the unknown side in this triangle, rounding your answer to two decimal places (if necessary).
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
can a three set problem has negative intersection?
Answer:
yes
Step-by-step explanation:
yes but not a postitive one
Answer:
i think so yeah
Step-by-step explanation:
Your salary is 2500 and you will be receiving a 2.5% pay increase this year. What will your new salary be?
Answer:
2562.50
Step-by-step explanation:
2.5=0.025
0.025*2500=62.50
2500+62.50=2562.50
Help!!!!!!!!!find the equation of the linear function q(16)=1 that is parralel to f(x)=1/3x+39
It wants it in slope intercept form
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]
Write a problem that uses a fraction greater than 1?
Answer:
3/2+3/2=3. Does this help? If not then I sincerely apologize- ^^". Please inform me if this is incorrect or not helpful
Step-by-step explanation: