Answer:
It’s also worth pointing out that the presentation of the algebraic expressions in coin word problems are a bit different and not so straightforward compared to what we’re used to. For example, instead of saying “the number of nickels is 2 more than the number of dimes“, you’ll often see this expressed in coin word problems as “there are 2 more nickels than dimes“. Both algebraic expressions can be written in an equation as n=d+2n=d+2 but just expressed differently.
Step-by-step explanation:
Tamara has 35 coins in nickels and quarters. In all, she has $4.15. How many of each kind of coin does she have? Right off the bat, the problem gives us two important pieces of information. First, it tells us that there is a total number of 35 coins consisting of nickels and quarters. Secondly, the total value of the coins is $4.15. We need to translate these statements into algebraic equations to find how many nickels and how many quarters she has.
BTW hope this helps
You graph the number of times you go to the movies as one variable and the total amount of money you spend on movie tickets as the other variable. What type of slope would you expect the trend line to have?
Using linear function concepts, it is found that the trend line would be expected to have a positive slope.
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.In this problem, the more times you go to the movies, the more money you are expected to spend, hence the variables are direct proportional and the trend line would be expected to have a positive slope.
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Below is a rhombus with an equilateral triangle. Find the measure of a.
Answer:
a = 80°
Step-by-step explanation:
In order to solve this figure, we need to find a useful relationship between the various angles. We can use the straight angle at the upper left vertex of the equilateral triangle.
__
The sum of angles there is ...
a + 60° +(a/2) = 180°
3/2a = 120° . . . . . . . . . . subtract 60°, collect terms
a = 80° . . . . . . . . multiply by 2/3
_____
Additional comment
All triangles are isosceles, because they all have 2 (or more) sides the same length. That means the base angles are half the supplement of the a.pex angle. Of course, adjacent vertices of a rhombus have supplementary angles.
In ________ simulation, one or more of the independent variables follows certain probability distributions, which can be either discrete distributions or continuous distributions.
In probabilistic simulation, one or more of the independent variables follows certain probability distributions.
What is simulation?This is also known as Probabilistic Analysis. It is an analysis that tells or gives room for network assessment that is done using probabilistic input data.
Note that it is vital when there is input parameters known to be random and as such, one or more of its independent variables follows a specific probability distributions.
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2. The ratio of dogs to cats at the pet store is 1:3. If there are are 6 more cats than dogs, how many dogs are at the pe tore?
Answer: 3
Step-by-step explanation: When the dogs are 3, cats will be 9 at ratio 1:3
He notices a lumberjack cutting one down what is the probability that the lumberjack is cutting down a mature tree given it is a pine?
Answer:
The second one is correct.
Step-by-step explanation: if you add together all the numbers you get 563 so now if you divide 166 by 563 you get 0.2948
The graph shows the amount of gas in the tank of Bill's car during a trip to his mom's house. At one point he stopped for gas. About how mush
gas did Bill put in his tank when he stopped?
O 7 gallons
O 12 gallons
O 1 gallon
O 5 gallons
Solve the system of equations 6+4y=12 2x+3y=6
Answer:
x = 0.75 :: y = 1.5
Step-by-step explanation:
6 + 4y = 12
4y = 12 - 6
4y = 6
y = 1.5
_________
2x + 3(1.5) = 6
2x + 4.5 = 6
2x = 6 - 4.5
2x = 1.5
x = 0.75
Sharon Fox decided to buy a home in Marblehead, Massachusetts, for $282,000. Her bank requires a 20% down payment. Sue Willis, an attorney, has notified Sharon that besides the 20% down payment there will be the following additional costs:
Recording of the deed $ 37.00
A credit and appraisal report 162.00
Preparation of appropriate documents 55.00
In addition, there will be a transfer tax of 2% of the purchase price and a loan origination fee of 2% of the mortgage amount. Assume a 30-year mortgage at a rate of 10.5%.
a. What is the initial amount of cash Sharon will need? (Do not round intermediate calculations. Round your answer to the nearest cent.)
b. What is her monthly payment? (Do not round intermediate calculations. Round your answer to the nearest cent.)
c. What is the total cost of interest over the life of the mortgage? (Do not round intermediate calculations. Round your answer to the nearest cent.)
The initial amount of cash that Sharon will need in this scenario will be $67821.20.
How to calculate the payment?The initial amount of cash will be:
= ($282000 × 20%) + ($282000 × 2%) + ($276360 × 2%) + ($162) + ($37) + $55
= $56400 + $5640 + $5527.20 + $162 + $37 + $55
= $67821.20
Therefore, the the initial amount of cash Sharon will need is $67821.20.
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Which irrational number can be multiplied by –StartRoot 41 EndRoot to get a product that equals 1?
a) StartRoot StartFraction 1 Over 41 EndFraction EndRoot Negative
b) StartRoot 41 EndRoot Negative StartRoot
c) StartFraction 1 Over 41 EndFraction EndRoot
d) StartRoot 41 EndRoot
Answer:
D. 41
Step-by-step explanation:
Answer:
The answer is C
Step-by-step explanation:
First, convert - 1/41 to a decimal - 1/41 as a decimal which is just 1 divided by 41 which = 0.024390243902439 now multiply that by -41 and you get your answer.
Kevin works 2 hours more than Emily each time they work together. Using this information, complete the table
Answer:
we cannot see the table, did u attach any photo before asking the question?
Rewrite The following linear equations in slope intercept form y+2=4(x-3)
Answer:
the answer is y=4x-14
Step-by-step explanation:
I know that writing slope intercept form is extremely easy as you follow the y=mx+b formula. All that was really required was to simplify the equation and isolate the X and Y on separate sides of the equal. I hope this helps
What is the minimum number of classes a customer can take for Rebekah to meet her goal?
Answer:
6
Step-by-step explanation:
Simply 2x+4(2x+7)=3(2x+4)
2x+4(2x+7)=3(2x+4)
2x+8x+28=6x+12
10x+28=6x+12
4x+28=12
4x=-16
x=-4
Answer:
4x²+20x+16=0
Step-by-step explanation:
First we can expand the right side:
[tex](2x+4)(2x+7) = 4x^{2} +8x+14x+28[/tex]
Simplify:
[tex]4x^{2} +26x+28[/tex]
Now we can expand the left side:
[tex]3(2x+4) = 6x+12[/tex]
Now we equate both of them to each other:
[tex]4x^{2} +26x+28= 6x+12[/tex]
To make this into a quadratic form we can subtract 6x+12 from both sides:
[tex]4x^{2} +26x+28 - (6x+12) = 6x+12- (6x+12)[/tex]
Simplify
[tex]4x^{2} +20x+16 = 0[/tex]
This is the equation in most simplified version.
685 x8483 - 3846 +483
Answer:
Step-by-step explanation:
i have no idea
352, 345,338,...
352,345,338,...
\text{Find the 43rd term.}
Find the 43rd term.
Answer:
317
Step-by-step explanation:
The numbers change by -7 each step in the sequence. Let n be the position in the sequence, starting with n=0 for the first point. The value of a number at the nth position is (352 - 7*n).
The 43th position has the value 317.
n # Dif 352 -7n
0 352 352
1 345 -7 345
2 338 -7 338
3 331 -7 331
4 324 -7 324
43 317 -7 51Isaiah buys a hat that normally costs $17.There is a sale for 15% off. How much
does he pay for the hat?
+
Answer:
$14.45
Step-by-step explanation:
15% of 17 is 2.55. 17 - 2.55 is 14.45
Factor x3 – 4x2 7x – 28 by grouping. what is the resulting expression? (x2 – 4)(x 7) (x2 4)(x – 7) (x2 – 7)(x 4) (x2 7)(x – 4)
An expression has numbers, variables, and mathematical operations. The factors of the expression x³-4x²+7x-28 are (x²+7)(x-4).
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The factors of the expression x³-4x²+7x-28 can be written as,
[tex]x^3-4x^2+7x-28\\[/tex]
Take x² as the common factor from the first two terms while 7 as the common factor from the last two terms.
[tex]x^3-4x^2+7x-28\\\\=x^2(x-4)+7(x-4)\\\\=(x^2+7)(x-4)[/tex]
Hence, the factors of the expression x³-4x²+7x-28 are (x²+7)(x-4).
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Find the sum of the first 8 terms of the following series, to the nearest integer.
144, 36,9, ...
answer:
192
(the pattern is dividing each number by 4, if you need it)
Which angles are adjacent to each other? Select all that apply.
Find the volume of the cone in terms of pi.
A) 324π cm^3
B) 405π cm^3
C) 72π cm^3
Answer:
A. 324π cm^3
Step-by-step explanation:
I took the test and go it right.
Answer:
A. 324π cm^3
Step-by-step explanation:
took test
Eric has a project. He will make a model of a pyramid out of cardboard. How much cardboard will he need if the base measures 20 cm and the height 18 cm?
Answer:
the area is equal to 180cm
Step-by-step explanation:
Area = (heigh x base) / 2
Area = (18 x 20) / 2 = 180
The polynomial equation x superscript 6 baseline minus 16 x squared = 4 x superscript 4 baseline minus 64 has complex roots plus-or-minus 2 i. what are the other roots? use a graphing calculator and a system of equations. –64, 0 –2, 2 –1, 1 0, 64
The other roots of the given polynomial equation are 2 and -2.
Given polynomial equation is:
[tex]x^{6} -16x^{2} =4x^{4} -64[/tex].....(1)
What is a polynomial?A polynomial is the sum of monomials of the form axⁿ where n is a whole number.
Rewriting the (1) as:
[tex]x^{6} -4x^{4} -16x^{2} +64=0[/tex]
[tex]x^{4} (x^{2} -4)-16(x^{2} -4)=0[/tex]
[tex](x^{2} -4)(x^{4} -16)=0[/tex]
[tex]x^{2} -4=0[/tex]
[tex]x^{2} =4[/tex]
[tex]x=2[/tex]
[tex]x=-2[/tex]
So, the other roots are 2 and -2.
Hence, the other roots of the given polynomial equation are 2 and -2.
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Answer:
its b
Step-by-step explanation:
took it
HELP ME i think i get the idea but i need further evaluation.
x = 4.28
Step-by-step explanation:[tex]Given,\ To\ find\ for\ x,[/tex]
[tex]Let\ c\ be\ the\ centre\ of[/tex]
[tex]Circle,\ where[/tex][tex]AD=22.4\ (Diameter)[/tex]
[tex]AC=\frac{22.4}{2}=11.2\ (radius)[/tex]
[tex]AB=8.8[/tex]
[tex]In\ \Delta\ ABC, Right\ angled\ at[/tex]
[tex]B.\ USing Pythagoras\ theovem[/tex]
[tex](AB)^2+(BC)^2=(AC)^2[/tex]
[tex](8.8)^2+(BC)^2=(11,2)^2[/tex]
[tex](BC)^2=125.44-77.44=48[/tex]
[tex]BC=\sqrt{48}=6.92[/tex]
[tex]E_c=x+y\ \ \ \ \(Where\ Fc\ is\ also\ radius\ of\ arcle[/tex]
[tex]\therefore\ \ \ \ \11.2=x+6.92[/tex]
[tex]x=11.2-6.92=4.28[/tex]
[tex]Hence,\ x=4.28\ is\ the\ answer.[/tex]
I hope this helps you
:)
Some please help me bruuh
Answer:
[tex]m\angle QPO + (2x+16)^\circ = 180^\circ[/tex]
Step-by-step explanation:
In a cyclic quadrilateral, opposite angles add up to 180 degrees. Therefore, our answer would be the third answer, [tex]m\angle QPO + (2x+16)^\circ = 180^\circ[/tex], where QPO and QRO are opposite of each other.
I need help asap!!!!!!
Answer:
The Answer is C: [tex]y > x, y < 4[/tex]
Step-by-step explanation:
By looking at the graph the shaded area is the inequalities that you need to find.
[tex]y=4[/tex] is the lines on the y-axis. Below the y-axis is shaded [tex]y < 4[/tex].
From the [tex]y=x[/tex] is a linear line. Above the linear line is [tex]y > x[/tex]
Select the correct
function
that represents
this data.
Answer:
f(x) = -5x - 2
Step-by-step explanation:
Plug in the first set of values into each possible equation. Whichever equation yields the correct ouputs (y-values) for ALL input (x-values) is the correct answer. For the function f(x) = -5x - 2, f(-2) = 8, f(-1) = 3 and so on... So f(x) = -5x - 2 is the correct answer!
Hope this helps!
if A and B are two distinct points on the plane then distance between them is
A)zero
B)1
C)negative
D)positive
By definition, the distance between two points is always positive, so the correct option is D.
How to get the distance between two points?
Let's say that our plane has rectangular coordinates, so it would be something like a xy-plane.
Each point has 2 coordinates, so we can write:
A = (x₁, y₁)
B = (x₂, y₂)
The distance between the points is given by:
[tex]D = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]
As you can see, the distance is defined as positive (indifferent of the coordinates of the points).
So the correct option is D, the distance is always positive.
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How many times can 3 go into 35
Answer: 11 times is the awnser
Step-by-step explanation:
What’s The Answer Of This? PLEASE HELP
Answer:
80.
Step-by-step explanation:
Angles of a triangle add up to 180. 180-80-20 is 80.
question says : are these triangles congruent
Answer:
No.
Step-by-step explanation:
The triangles aren't congruent because the value of C is unsaid.