A new television set was recently purchased for a common room in a residence hall for $408.00 including tax. If the tax rate is 2%, find the price of the television set before taxes
Answer:
$400
Step-by-step explanation:
To solve this, we need to understand how one reaches the final price. The general formula for final price (with tax) is:
t(c) = p x (1+t)
t(c) is total cost
p is price
t is tax rate as a decimal
To find p, we need to create a new formula. Since we have the total cost ($408) and the tax rate (2% or .02), we can divide the total cost by 1 + the tax rate to solve for the price:
t(c) / (1+t) = p
408 / (1+.02) = $400
I hope this helps!
-TheBusinessMan
How do you convert a fraction to a decimal?
Answer:
To convert fractions to decimals you just divide the top by the bottom — divide the numerator by the denominator — and if the division doesn’t come out evenly, you can stop after a certain number of decimal places and round off. To convert fractions to decimals: If the fraction is a mixed number, change it to an improper fraction.
Round to the nearest hundred thousand. 636,665
Answer:
600,000
Step-by-step explanation:
I think that it will be 600,000 because the 3 is below 5 which you can not round anything that is below 5.This what I look at when i Round and it may or may not be helpful to other people:
5 or more raise the score
4 or less let it rest
That is what I learned.
please answer quickly!
Answer:
tanx
Step-by-step explanation:
tan=TOA
opp/adj
x=p/r
2/3 of a number -11. Please help
Answer:
(2/3)x = -11
x = -33/2
Step-by-step explanation:
2/3 of a number is -11.
Let the unknown number be x.
2/3 of x is -11.
(2/3)x = -11
Multiply both sides by 3/2.
(3/2)(2/3)x = (3/2)(-11/1)
x = -33/2
Suppose Clare labels the books at a constant speed of s books per minute. Write an equation that represents the relationship between her labeling speed and the number of minutes it would take her to finish labeling.
Answer:
75 minutes
50 minutes
Number of minutes to finish labelling = Total number of books labelled / Time taken to label them (speed of labelling)
Step-by-step explanation:
Complete question below:
Clare volunteers at a local library during the summer. Her work includes putting labels on 750 books.
How many minutes will she need to finish labeling all books if If she takes no breaks and labels:
a. 10 books a minute
b. 15 books a minute
Suppose Clare labels the books at a constant speed of books per minute. Write an equation that represents the relationship between her labeling speed and the number of minutes it would take her to finish labeling
Solution
a. 10 books a minute
Number of minutes to finish labelling all books at 10 books per minute = Total books / books labelled per minute
= 750 / 10
= 75 minutes
Number of minutes to finish labelling all books at 10 books per minute = 75 minutes
b. 15 books a minute
Number of minutes to finish labelling all books at 15 books per minute = Total books / books labelled per minute
= 750 / 15
= 50 minutes
Number of minutes to finish labelling all books at 15 books per minute = 50 minutes
c. The relationship between her labeling speed and the number of minutes is Total number of books labeled ÷ Time taken to label them
Number of minutes to finish labelling = Total number of books labelled / Time taken to label them (speed of labelling)
What are two consecutive integers of 184
1/9 + 1/9 = * Your answer This is a required question
Answer:
2/9 obvi
Step-by-step explanation:
Carol walks a circular path with a radius of 280 yards at the local park. How far does she walk? round your answer to the nearest tenth.
Answer:
1508.6
Step-by-step explanation:
circumference=2πr
=2×22/7×240
=1508.57
=1508.6
negative exponents 3-3 x 3-2
Answer:
3^-5
Step-by-step explanation:
Whenever you multiply exponents, you add the values. Negative two plus negative three results in an answer of negative five. This will be the power. You will end up with 3^-5 as your answer.
2^2+4^2+6^2......50^2
Answer:
422,500
Step-by-step explanation:
Since ^2 is comman
(2+4+6+8+10+12+14+16+18+20+22+24+26+28+30+32+34+36+38+40+42+44+46+48+50) ^2
= 650^2
=422,500
Hope this is correct plzz mark brainliest
What is the answer to the equation x+x/7+1/11(x+x/7)=60
Answer:
x=385/8 decimal form is 48.125
Step-by-step explanation:
Identify the terms, variables, coefficients and constants in each expression -4a-7b+5+c & 7-5h-2-k & 5-4x-8y & 9k+7-k+4 & -5a-7+5d+h & 7m-5-n-8k
Thank you!
Problem 1
Answers:Terms = -4a, -7b, 5, cVariables = a, b, cCoefficients = -4, -7, 1Constants = 5---------------------
Explanation:
Each term is separated by a plus sign. If we had something like -4a-7b, then rewrite it as -4a+(-7b). This works because subtraction is really adding a negative. Example: 2-3 = 2+(-3)
So the original expression becomes -4a+(-7b)+5+c and we see there are four terms here.
The terms with the variables are -4a, -7b and c. The variables are simply letters so we just say a,b,c are the variables. The coefficients are the numbers to the left of the variables. For the term c, it is really 1c, so the coefficient is 1.
The constant is the term without a variable multiplied with it. So that would be the 5. As the name suggest, the constant term does not change based on whatever the variables are.
=========================================================
Problem 2
Answers:terms = 7, -5h, -2, -kvariables = h,kcoefficients = -5, -1constants = 7, -2--------------------------------------
Explanation:
We'll follow the same idea as problem 1.
Rewrite 7-5h-2-k as 7+(-5h)+(-2)+(-k) and we see there are four terms.
The term -k is the same as -1k, so the coefficient is -1
The variables this time are h,k as those are the two letters that show up.
The constants are 7 and -2 because no variables are attached to them.
=========================================================
I'll let you do the rest. If you're still stuck, then please let me know
Solve the equation 3+
х
* = 10.
X=
Answer:
x=7
Step-by-step explanation:
subtracting 3 from both sides, you get x=7.
Math problem giving brainlist and points!!
Answer:
It would be B
Step-by-step explanation:
A business just took out a loan for $100,000 at 10% interest. If the business pays the loan off in three months, how much did the business pay in interest?
Answer:
$2,500
Step-by-step explanation:
The amount the business pay in interest can be calculated using the sinple interest formula as shown:
Simple Interest = Principal × Rate × Time/100
Given Principal = $100,000 (Loan)
Rate = 10%
Time (in years) = 3months = 3/12 years
Substituting the parameters into the formula we will have;
SI = 100,000×10×3/12×100
SI = 1000×30/12
SI = 30,000/12
SI = $2,500
Therefore the business pays an interest of $2,500
plz help i will mark you branlyest also plz answer both questions
Answer:
D(1, -2)
E(3, -4)
A fitness center offers boxing classes for $15 per class and sells a set of boxing gloves for
$15.95. Josh paid a total of $135.95 to the fitness center for boxing classes and a set of gloves.
How many boxing classes did Josh attend?
Answer:
8
Step-by-step explanation:
total paid: $135.95
cost of gloves: $15.95
amount for classes: $135.95 - $15.95 = $120
cost of each class: $15
number of classes: $120/$15 = 8
Answer: 8 classes
Which is the function of x?
Answer:
Step-by-step explanation:A function defines one variable in terms of another. The statement "y is a function of x" (denoted y = y(x)) means that y varies according to whatever value x takes on. A causal relationship is often implied (i.e. "x causes y"), but does not *necessarily* exist.
divide 0.12 by 0.04. That means we want to find out how many times 0.04, or four-hundredths, goes into 0.12, or twelve-hundredths.
Answer:
3
Step-by-step explanation:
0.12 ÷ 0.04
if we want to calculate without calculator ,
multiply both nenominator and denominator by 100;
Then,
(0.12×100)÷(0.04 ×100)
= 12÷4
= 3
For f(x)=4x+1 and g(x) x2-5, find (g/f)
Answer:
(f+g) (x)=x^2+4x-4
Step-by-step explanation:
add them together
f(x)+g(x)
14x+1+x^2-5
x^2+4x-4
(f+g)(x)+x^2+4x-4
Which percent is equivalent to 2.5?
2.5%
25%
250%
2,500%
Please hurry
Move the decimal point 2 spots to the right to go from 2.5 to 250%
Another example would be that 0.76 converts to 76%
Answer:
c
Step-by-step explanation:
2(x + 4) = 4x + 3 - 2x + 5
The size of a playground is 160 feet by 360 feet. A model is created that measures 4 inches by 9 inches. Is it a rate, ratio only or a proportion?
Answer:
The model is made in a 1:40 ratio
Step-by-step explanation:
How many times is 4 multiplied to be equal to 160?
4(x) = 160
X = 160 / 4
X = 40
The proportion, rate, and ratio are almost the same.
They represent the correspondence between the parts and the whole since they all express a binary relationship between the quantities, that is, objects, people, tablespoons.
If the ratio is 1: 2 it could be read that for every 1 there are 2.
For example 1: 2 cups; For every cup of something there are 2 cups of something else.
In this case, 1:40; For every inch of the model, there are 40 feet in the playground.
what is a two variable linear equation
Answer: Linear equations in two variables. If a, b, and r are real numbers (and if a and b are not both equal to 0) then ax+by = r is called a linear equation in two variables. (The “two variables” are the x and the y.) The numbers a and b are called the coefficients of the equation ax+by = r.
Step-by-step explanation:
Answer:
see below
Step-by-step explanation:
It's an equation that has two variables
that's to say it has x and y (generally)
it is linear when you graph it, it forms a line and that only happens when the mayor exponent is one
so
[tex](something_1)x^{1}+(something_2)y^{1} =(something_3)[/tex]
notice all the something are completely different
or you could find it as
[tex]y=mx+b[/tex]
where m is the slope
and b some number
so that's it
Help me I need the answer ASAP ! Aundrea painted the background of a square mural on the wall using 138ft^2 of paint .which measurement is closest to the side length of this mural in feet ?
A.69 ft
B.12 ft
C.139 ft
D.35 ft
Hey there! I'm happy to help!
Since this mural is a square, all the sides are the same. This means that you square on of the sides to get the area (multiply it by itself). If we have the area and want to find a side, we just go backwards and use something called the square root!
If we plug this into our calculators...
√138≈11.74734
We see that is closest to B. 12 ft.
You could also figure this out without a calculator. 138 is very close to 144, which is 12². All the other answer options are way too big.
Have a wonderful day! :D
2 to the power of -3 simplified
Answer:
= 1/8 or 0.125
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
A negative x a negative makes a positive
Saira is using the formula for the area of a circle to determine the value of LaTeX: \piπ. She is using the expression LaTeX: Ar^{-2}\:A r − 2where LaTeX: A\:=\:50.265\:A = 50.265and LaTeX: r\:=\:4\:r = 4. Use a calculator to evaluate Saira's expression to find her approximation for the value of LaTeX: \pi\:πto the nearest thousandth.
Given:
Area of a circle, A=50.265 sq. units.
Radius of circle, r = 4 units.
To find:
The value of π to the nearest thousandth.
Solution:
Formula for area of a circle is
[tex]A=\pi r^2[/tex]
[tex]\dfrac{A}{r^2}=\pi [/tex]
[tex]Ar^{-2}=\pi [/tex]
Now, using [tex]Ar^{-2}[/tex] expression, we can find the value of π.
[tex]\pi=50.265904(4)^{-2}[/tex]
[tex]\pi=\dfrac{50.265904}{4^2}[/tex]
[tex]\pi=\dfrac{50.265904}{16}[/tex]
[tex]\pi=3.141619[/tex]
Approximate the value to the nearest thousandth (three digits after decimal).
[tex]\pi\approx 3.142[/tex]
Therefore, the approximated value of π is 3.142.
find x (I really need help)
7x-6=5x+18
Steps to solve:
7x - 6 = 5x + 18
~Add 6 to both sides
7x = 5x + 24
~Subtract 5x to both sides
2x = 24
~Divide 2 to both sides
x = 12
Best of Luck!
AYUDEEEEEEEEEEEEEENME EESS PARA HOY!!!!
Answer:
(x+3)(x-3) = x²-9
(a+4)(a-4) = a²-16
(2/3x²y+1/4)(2/3x²y-1/4) = ((4x^4)y²)/9-1/16
(2x²+3y³)(2x²-3y³) = 4x^4-9y^6
(b-2)(b-2)(b-2) = b³-6b²+12b-8
Step-by-step explanation:
(x+3)(x-3) = x²-9
(a+4)(a-4) = a²-16
(2/3x²y+1/4)(2/3x²y-1/4) = ((4x^4)y²)/9-1/16
(2x²+3y³)(2x²-3y³) = 4x^4-9y^6
(b-2)(b-2)(b-2) = b³-6b²+12b-8