Is 70.61 a rational or irrational number?
Answer:
70.61 is a rational number
Step-by-step explanation:
This is because a rational number is either:
A whole number, like 70, whole number.
Is a terminating decimal, such as the one above 70.61, (A terminating decimal is a decimal that doesn't repeat.
And or has a pattern, or a recurring decimal, like 7.478478..., it repeats the decimal over and over, thus, rational.
Hope this helped you, have a great day.
Russel wants to buy 3 identical gift cards. He wants to make sure his total cost is no more than $2 above or below $60. Which of the following inequalities represents this situation?
A|3c − 60| ≤ 2
B|60 + 3c| ≤ 2
C |3c − 2| ≤ 60
D |3c + 2| ≤ 60
Step-by-step explanation:
very imprecise phrasing.
I assume this means the cost should not be more than $2 above, and not less than $2 below $60.
the bottom line is : the difference between the price of the 3 gift cards and the planned budget of $60 must not be more than $2 (no matter what's the sign of the difference - hence the usage of absolute values).
the only answer calculating that difference and comparing it to the $2 threshold is A.
remember, a difference is always calculated by a "-" operation.
so, B and D disqualify.
C compares the price of the 3 cards with $2 and compares that result with the limit of $60.
yes, that protects against too expensive cards.
but no, it does NOT protect against to cheap cards. e.g. if the cards (3c) cost only $30, that inequality would still be true (but should not).
so, A is the correct answer.
The cost of a cycle is ICRS $-3500. If the exchange rate of Indian currency is IC Re1= NC Rs 1.60, find the cost of cycle in Nepali Currency
Determine the scale factor between the two shapes
given: abc ~ xyz
Answer:
2
Step-by-step explanation:
The scale factor between the two shapes is 2 because when you look at the number between the two triangles, 6/3 is 2 and 20/10 is also 2.
This table gives select values of the differentiable function h.
x -4 -1 0 1 4
h(x) -26 -15 -32 -39 -35
What is the best estimate for h'(-2) we can make based on this table?
Choose 1 answer:
a 11
b 3.67
c -1.13
d -20.5
help will give brainliest
Answer:
the answer is y = x + 1
have a good day :3
If f(x) = x^3 – 2x^2 – 29x + 30 and f(6) = 0, then find all of the zeros of f(x)
algebraically.
Due today!!
Answer:
1, 6, and -5
make it 0
I really need help right now please i will mark brainliest and give lots of points
Answer:
What do you need help with?
Step-by-step explanation:
Answer:
what is the problem?
Step-by-step explanation:
79 percent of 67 miles is what
Answer:
52.93
Step-by-step explanation:
Darryl can travel to the store on his skateboard three times faster than he can return carrying his package and skateboard. If the total trip takes 30 minutes, how many minutes does it take him to return from the store?
48Step-by-step explanation:
40 = 48 quarts
what is the interest $5,200 at 4% for 3 years
Answer:
$624
Step-by-step explanation:
I =Prt I being interest paid, P is Principal, r is rate, t is term
I =5200x.04x3
I=624
Decompose and use the distributive property to find the product of 5 × 7.3. 35.0 36.5 35.5 31.5 PLEASE HELP PLEASE T^T
Answer:
The answer is 36.5
Step-by-step explanation:
HELP PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Omsimmmmm Nice G UwU
Sarry Sarry
is 2(x+8)-3(y-7) linear or non linear?
Si. es linea .U na ecuación lineal es una igualdad matemática entre dos expresiones algebraicas, denominadas miembros, en las que aparecen elementos conocidos y desconocidos (denominados variables), y que involucra solamente sumas y restas de una variable a la primera potencia.l
if u have 105 in 7 days what would you have in 1 day?
Answer:
I would have 15.
Step-by-step explanation:
In 7 days, I would have 105.
In 1day, I would have 105/7
=15
The ratio of cats to dogs at animal shelter is 2 to 5. There are 22 cats at the animal shelter.
What is the total number of animals at the animal shelter?
Answer:
77
Step-by-step explanation:
cats:dogs
2:5
2x11=22
5x11=55
55+22=77
Answer:
77 animals
Step-by-step explanation:
Ratio = 2:5
2 = 22
5 = 5/2 ×22
= 55
=>There are 55 dogs in the animal shelter
Therefore the total number of animals = 55 +22
= 77
=> There are 77 animals at the animal shelter
A board is 80 inches long. How long is it in feet and inches? please help ;-;
Answer:
6 feet and 8 inches
Step-by-step explanation:
1 foot = 12 inches
Answer: 6ft & 8 inches
Step-by-step explanation: 12 inches = 1 feet
2 feet = 24
3 feet = 36
4 feet = 36
5 feet = 60
6 feet = 72
80 - 72 = 8
6ft & 8 inches
solve the system of equations by elimination:
3x+y=5
2x-2y=-2
Answer:
(x, y) = (1, 2)
Step-by-step explanation:
The method of elimination works best when the coefficient of a variable in one equation is equal or opposite the coefficient of the same variable in the other equation.
Here, we notice that all of the coefficients of the second equation are multiples of 2. When we divide that equation by 2, we get ...
x -y = -1
This equation has a y-coefficient that is the opposite of the y-coefficient in the first equation. We can eliminate the y-variable by adding these equations together.
(3x +y) +(x -y) = (5) +(-1)
4x = 4 . . . . . . . simplify. Notice the y-variable has been eliminated.
x = 1 . . . . . . . . divide by 4
Using this value of x in the second equation, it tells us ...
1 -y = -1
Adding y+1 to both sides of this equation gives ...
2 = y
The solution to the system of equations is (x, y) = (1, 2).
__
The graphing calculator confirms this solution.
witch rational number is between -11/15 and -5/6?
answers to chose from -1, -7/10, -4/5 and -13/15
Answer:
-4/5
Step-by-step explanation:
To find this we can look for the [tex]LCD[/tex] between all the numbers
Here are our [tex]LCD's[/tex] (Least Common Denominator)
-22/30 and -25/30
It wouldn't be -1 because it isn't in between those numbers
It isn't -7/10 because if we turn it into our [tex]LCD[/tex] it would be -21/30 which isn't in between those numbers
It is -4/5 because if we turn in into our [tex]LCD[/tex] it would be -24/30 which is between those numbers
This means we have our right answer we know our last one is incorrect
find slope of line with the points (-5,-4) and has a slope of -3/5
Answer:
-3/5
Step-by-step explanation:
The answer is already in your question. You're asking for the slope of a line with an already stated slope
Jason was a recent graduate from a university program with a Bachelor of Science in Medical Technology. He will begin a position at the local hospital working 40 hours a week with an hourly rate of $25.50. He will receive a paycheck every two weeks. In a document, calculate the following. Be sure to show your mathematical calculations.
Gross Pay for 1 paycheck
Deductions for federal tax, state tax, and city tax
Deduction for F.I.C.A. or social security tax
Deduction of $117 for medical and dental insurance.
What would Jason’s net monthly income and net annual salary be after taxes and insurance?
Answer:
Gross Pay for 1 paycheck
Deductions for federal tax, state tax, and city tax hope it helps :)
Step-by-step explanation:
The net monthly income of Jason is $194.68 and the net annual salary is 23324.16.
What is gross pay?Gross pay of an employee is basically sum of his basic pay, dearness allowance, any other allowance only. Public providend fund, income tax are not deducted from it.
How to find net pay?1) Gross paycheck=2*40*25.5=$2040.
2) Federal tax=2040*21%=$428.4
3) State tax=25=$25
4) City tax=2040*12%=$244.8.
5) Deductions=2040*12.45=$252.96.
6) Net monthly income=2*(Gross pay-federal tax-state tax-city tax-deductions-deductions for F.IC.A. or social security tax)
=2*[2040-428.4-25-244.8-252.96-117]
=1943.68
7) Net annual salary=12* net monthly income.
=1943.68*12 ( 1year= 12 months)
=$23324.16
Hence the net monthly income of Jason is $194.68 and the net annual salary is 23324.16.
Learn more about gross pay at https://brainly.com/question/11274742
#SPJ2
HELP ME PLEASE
r | 6 + 1 =9
please help me this is due tomorrow and it’s my last question!!
if you can’t tell what it says it says R divided by 6 plus one equals 9!
Step-by-step explanation:
[tex] \frac{r}{6 } + 1 = 9 \\ \frac{r}{6} = 9 - 1 \\ \frac{ r }{6} = 8 \\ r = 48[/tex]
Answer:
r = 48
Step-by-step explanation:
The goal is to get r on one side of the equation.
To do this do the same thing to both sides of the eqaution to keep it in balance.
r/6 + 1 = 9
Subtract 1 from both sides
r/6 = 8
multiply both sides by 6
r = 48
The graph represents the distance a car traveled over time.
What is the constant of proportionality K.
Answer:
K=2/5
Step-by-step explanation:
So, I’m assuming that by constant of proportionality you mean slope of the line. To do that, you just figure out how y changes with x. The easiest way to do this is rise over run (y over x). If you look at the graph, there is a point that pass through (0,0) and another that passes through (5,2) so if you count how many spaces we moved up then how many spaces we moved right, you will get the slope of the line. Spaces moved up are 2-0=2 and spaced moved right are 5-0=5. Use rise over run which is going to be 2/5. So, K=2/5.
Select the system that has the same solution as
–2x+2y = -5,
5x — бу = 8
The volume of a box is given by V=3x^3 + 33x^2 + 84x. Determine expressions for a possible set of dimensions for this box.
Answer:
(-7,0) (-4,0)(0,0)
Step-by-step explanation:
These tables of ordered pairs represent some points on the graphs of lines p and r.
Which system of equations is represented by lines p and r?
9x−4y=−92x+4y=15
3x−y=−127x+3y=21
2x−y=−82x+y=7
x−2y=−86x+5y=30
Line p
x y
−3 2
0 8
4 16
Line r
x y
−5 17
2 3
5 −3
Answer:
The answer above mine is correct and here is why.
Step-by-step explanation:
Please rate this answer choice 5 stars and leave a thanks, You do not need an acount to do this.what is the solution set of the equation set 3|5-x|+2=29 ?
Answer:
Answer: x = - 4 or x = 14.
Step-by-step explanation:
Rearrange unknown terms to the left side of the equation:3 |5 - x| = 29 - 2Calculate the sum or diff.
15 points for anwser
Determine whether each expression is equivalent to x^(7/4).
Expression Yes No
√(7&x^4 )
∜(x^7 )
(∜x)^7
√(x^(7/4) )
∜(x^5 )∙∜(x^2 )
√(5&x^4 )∙√(2&x^4 )
(∜x)^7/(√x)^0
Help.
Answer:
Step-by-step explanation:
A local business donated 40,782 marbles to distribute equally
among 42 sixth grade classes in the district. How many marbles
did each class receive?
Answer:
971
Step-by-step explanation:
40782/42=971
Answer: 971 marbles per class
Step-by-step explanation:
40,782 marbles divided by 42 classes =
971 marbles per class
Check
971 x 42= 40782
Reasoning A store sells packages of comic books with a poster. A poster and 8 comics cost $14.75. A poster and 16 comics cost $22.75. Write a linear function rule that models the cost y of a package containing any number x of comic books. Suppose another store sells a similar package, modeled by a linear function rule with initial value $5.50. Use pencil and paper. Explain which store has the better deal.
The linear function rule is y=