Answer and Step-by-step explanation:
Every episode is 20 minutes. The points would be:
(40, 2)(80, 4)(120, 6)(160, 8)A crate is shaped like a rectangular prism. The crate is 1.2 feet wide, 3 feet long and 4.5 feet tall. What is the volume of the crate in cubic feet?
a number has exactly 8 factors. Two of the factors are 10 and 14. What is the number and what are all the factors
Answer:
2,5 and 2,7 I believe
Step-by-step explanation:
It should be 2,5 and 2,7
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.
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.
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!
the actual length of a Corvette is 15 feet. Using the scale factor 1:3, determine the length of the model Corvette in inches
A tiger weighs 600 pounds. It
loses 4 pounds each year.
Write the equation for the
tiger's weight.
Solve the equation: 25-3x=40
A. -15
B. -5
C. -2
D. -4
which of these numbers is irrational?
If maya crew paints the platform at a rate of 720 feet per hour, determine how long to the nearest hour it will take them to paint the entire platform.
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
What is the value of y in this diagram?
A. 61
B. 58
C. 21
D. 138
Answer:
BRAINLIEST
Step-by-step explanation:
PLEASE HELP WITH #4 and #5 (Gina Wilson) Rectangles All Things Algebra
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:)
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.
Make 8 10 times as much
12 divided by 0.03 please show how im suppost to do it this was due at 8:00 am
Answer:
400
Step-by-step explanation:
12 / 0.03
Divide 12 by 3 = 4.
Move the decimal place over 2 to the right.
400.
what is 2+2? tell me please
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]
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
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
PLEASE HELP, WILL MARK BRAINIEST
Answer:
your answer will be 9 cm
Step-by-step explanation:
I hope this helps u, have a great day !!!
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:
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:
-15 + n = -9
step by step pls
Answer:
N = 6
Step-by-step explanation:
1:Since the answer is 9,you can do it like this:Take away the 5 from the 15,which equals 10. Then,subtract 1 so you can get 9. Therefore,the answer is 6.
2:To check your answer,do 15 minus 9.
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"
What is five times less than the toyal cost of 69 dollars.
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
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
does a debit card use a pin or a credit card, or do both?