Answers
Answer:
registration fee: $50monthly fee: $80Step-by-step explanation:
Let r and m represent the registration fee and the monthly fee, respectively. We are told that the charges are ...
370 = r + 4m
530 = r + 6m
This is your system of equations.
__
Subtract the first equation from the second to start the solution.
(530) -(370) = (r +6m) -(r +4m)
160 = 2m . . . . . . simplify
80 = m . . . . . . . . divide by 2
Using this value in the first equation, we find ...
370 = r + 4(80)
50 = r . . . . . . . . . . . . subtract 320
The registration fee is $50; the monthly fee is $80.
Related Questions
do these measurements represent the side lengths of a right triangle 12ft 20ft and 24ft
A. yes
B. No
Answers
Answer:
B. No
Step-by-step explanation:
We can test this theory using Pythagorean's theorem:
a² + b² = c²
12² + 20² = 24²
144 + 400 = 576
544 ≠ 576
So you can conclude that this is not a right triangle.
What is the greatest common factor of the polynomial’s terms? 18x^2y^3-6xy^2+3x^3y
Answers
Answer:3xy
Step-by-step explanation:18x^2y^3= 3,6,x,x,y,y,y
6xy^2=. 3,2,x,y,y
3x^3y=. 3,x,x,x,y
All three have this in common a 3xy
The greatest common factor of the given polynomial's terms 18x^2y^3-6xy^2+3x^3y is 3xy. This is determined by factoring each term, and finding the greatest factor that occurs in all of the lists.
Explanation:In mathematics, the greatest common factor (GCF) of a set of terms in a polynomial, is the largest term that divides each term exactly. To find the greatest common factor for the given polynomial 18x^2y^3-6xy^2+3x^3y, first, we list the factors for each term.
The term 18x^2y^3 factors as 2*3*3*x*x*y*y*y, the term -6xy^2 factors as -2*3*x*y*y, and the term 3x^3y factors as 3*x*x*x*y.
The greatest factor that occurs in all three lists is 3*x*y, so 3xy is the greatest common factor of the polynomial’s terms.
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A family of two adults and three children went to a water park. Admission to the water park costs $18 per person. Nora used the expression 2 (18) + 3 (18) to model the total cost for the family, and Alex used the expression 5 (18). Which property of operations makes both of their expressions correct?
associative property
commutative property
distributive property
identity property
Answers
Answer
Distributive Property.
Step-by-step explanation:
First you solve for the first equation by multiplying 2 by 18 which is 36. Then 3 times 18 which is 54. Then you add them together to get 90.
Next you solve for the second equation by multiplying 5 by 18 which is 90.
Both of these equations are solved by the distributive property because your distributing the number outside of the parenthesis.
Please Answer both with Solution and Explanation. Will give Brainliest
1. What are the roots of [tex]x^{2}[/tex] - 2x + 2?
2. The number 16 has four fourth roots. In other words, there are four complex numbers that can be entered in the square in the equation below:[tex]\[\square^4=16.\][/tex]Find them. Please
Answers
Step-by-step explanation:
1) Given quadratic expression is [tex]x^2-2x+2[/tex]
First equate the given expression to zero then we will find the roots.
Since the given equation is quadratic hence it has two roots.
To find the roots of the given quadratic equation :For the quadratic equation we have that [tex]ax^2+bx+c=0[/tex]
Therefore roots [tex]x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex] here a and b are coefficients of [tex]x^2andx[/tex] respectively and c is a constant
[tex]x^2-2x+2=0[/tex] here a=1 ,b=-2 and c=2
Now Substitute the values in [tex]x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex] we get
[tex]x=\frac{-(-2)\pm \sqrt{(-2)^2-4(1)(2)}}{2(1)}[/tex]
[tex]=\frac{2\pm \sqrt{4-8}}{2}[/tex]
[tex]=\frac{2\pm \sqrt{-4}}{2}[/tex]
[tex]=\frac{2\pm \sqrt{4i^2}}{2}[/tex]
[tex]=\frac{2\pm2i}{2}[/tex]
[tex]=2(\frac{1\pm i}{2})[/tex]
[tex]x=1\pm i[/tex]
Therefore [tex]x=1+i[/tex] and [tex]x=1-i[/tex] are the roots of the given quadratic equation.
2) Given that the number 16 has four roots.In other words, there are four complex numbers that can be entered in the square .
Let x be the given number 16
i.e., x=16
From the given we can write [tex]x^4=16[/tex]Since the number has complex number as its rootsTherefore we can write [tex]x^4=(2i)^4[/tex] as below[tex]=2^4i^4[/tex] ( by using the formula [tex](ab)^m=a^mb^m[/tex] )
[tex]=16(1)[/tex] ( by [tex]i^2=-1[/tex] and [tex]i^4=(i^2)^2=(-1)^2=1[/tex] )
[tex]x^4=16=(2i)^4[/tex]
Therefore [tex]x^4=(2i)^4[/tex]
Since powers are same we can equate the bases ( bases are equal )
Therefore x=2i,2i,2i,2i are the roots of the given number 16 and they are complex numbers too
0.45 plus 9x equals 27
Answers
Answer:
x = 2.95
Step-by-step explanation:
Step 1: Convert words into an expression
0.45 plus 9x equals 27
0.45 + 9x = 27
Step 2: Solve for x
0.45 + 9x - 0.45 = 27 - 0.45
9x / 9 = 26.55 / 9
x = 2.95
Answer: x = 2.95
Jamie recently started working as
manager at a company. He will be paid
an annual salary of $42,600 and will be
paid monthly. The company requires the
following deductions:
• Social Security (6.2%)
• Medicare (1.4%)
• State Income Tax (3%)
• Federal Income Tax (13%)
• Medical and Dental Insurance ($260 per month)
• Retirement ($280 per month)
How much should his monthly net paycheck be?
a $2587.55
b. $2172.20
$2667 20
$2712.40
d
Answers
Answer:
B
Step-by-step explanation:
From annual salary of 42,600, we have to subtract the following percentages:
Social Security:
0.062 * 42,600 = 2641.2
Medicare:
0.014 * 42,600 = 596.4
State Income Tax:
0.03 * 42,600 = 1278
Federal Income Tax:
0.13 * 42,600 = 5538
Total Deductions (from percentages) = 2641.2 + 596.4 + 1278 + 5538 = 10053.6
Now, remaining salary:
42,600 - 10053.6 = 32546.4 (annual)
Divided by 12 to get monthly:
32546.4 / 12 = 2712.2 (monthly)
Now, monthly deductions are:
260 + 280 = 540
Net Salary: 2712.2 - 540 =2172.2
Based on the information given his monthly net paycheck is: b. $2172.20.
Net paycheckDeduction
Social security=42,600×62%
Social security = 2641.2
Medicare=42,600×1.4%
Medicare = 596.4
State Income Tax= 42,600×3%
State Income tax = 1278
Federal Income Tax=42,600×13%
Federal Income Tax = 5538
Total Deductions = 2641.2 + 596.4 + 1278 + 5538
Total deduction= 10053.6
Net paycheck:
Net paycheck=(42,600 - 10,053.6)/12- (260 + 280)
Net paycheck=32,546.4/12-540
Net paycheck= 2712.2 - 540
Net paycheck=$2172.2
Therefore, his monthly net paycheck is: b. $2172.20.
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The table represents a function.
A 2-column table with 4 rows. The first column is labeled x with entries negative 6, negative 2, 0, 3. The second column is labeled f of x with entries 3, 1, 4, negative 2.
What is f(–2)?
Answers
f(–2) = 1
Solution:
The table represents a function.
x f(x)
–6 3
–2 1
0 4
3 –2
To find the value of f(–2):
f(–2) means the value of f(x) for the corresponding x value –2.
In the table, if the x value is –2, then f(x) is 1.
See the value of f(x) which correspond to x = –2.
Hence f(–2) = 1.
Solve the system of linear equations using elimination.
−2x − y = 3
−9x − y = 17
A)
(2, 1)
B)
(2, −1)
C)
(−2, 1)
D)
(−2, −1)
PLEASE HELP I NEED IT BY TODAY
Answers
Answer:
C (-2,1)
Step-by-step explanation:
−2x − y = 3 (1)
−9x − y = 17 (2)
(1) y = -2x - 3
(2) y = -9x - 17
-2x - 3 = -9x - 17
7x = -14
x = -2
y = -2(-2) - 3
y = 4 - 3
y = 1
find x when - 1/2 + x = - 21/4
Answers
Step-by-step explanation:
-1 / 2 + x = -21 /4
x = -21/4 + 1/2
x = (-21 + 2)/4
x = -19/4
what is the half life formula
Answers
N = N₀* [tex](\frac{1}{2} )^{\frac{t}{h} }[/tex]
where N is how much you currently have
N₀ is the starting amount
t is the time
and h is the half life of the substance.
The half-life formula for a radioactive isotope is amount remaining = (amount initial) × e^(-t/t1/2), where e is the base of natural logarithms, t is the elapsed time, and t1/2 is the half-life of the isotope. The variables t and t1/2 must have the same units of time. The formula can be used to calculate how much of a radioactive isotope remains after a certain amount of time.
Explanation:The half-life formula for a radioactive isotope is given by:
amount remaining = (amount initial) × e^(-t/t1/2)
Here, e is the base of natural logarithms (approximately 2.71828182), t is the elapsed time, and t1/2 is the half-life of the isotope. The variables t and t1/2 must have the same units of time. To evaluate the exponential function, you may need to use a calculator or an inverse logarithm function. It is important to note that the length of time t does not need to be an exact multiple of half-lives.
Which is the best estimate of the avarge rate of change for the quadratic function on the interval 0 ≤ x ≤ 4
Answers
Answer:
A) -1
Step-by-step explanation:
The missing graph is attached.
The possible answers were:
-1
-2
-3
-4
The average rate of change of a function f(x) on a≤x≤b is given by:
[tex] \frac{f(b) - f(a)}{b - a} [/tex]
We want to find the best estimate of the average rate of change for the quadratic function on the interval 0 ≤ x ≤ 4.
From the graph, f(0)=0 and f(4)=-4
[tex] \frac{f(4) - f(0)}{4 - 0} = \frac{ - 4 - 0}{4 - 0} = \frac{ - 4}{4} = - 1[/tex]
The equation 4 + 9 = 4 + 9 is an example of which property of equality? *
Transitive
Symmetric
Substitution
Reflexive
Answers
Answer:
Reflexive
Step-by-step explanation:
The reflexive property of equality says that a given real number is always equal to itself.
For example :
[tex]y = y[/tex]
[tex]a = a[/tex]
[tex]b = b[/tex]
[tex]5 = 5[/tex]
are all examples of reflexive properties of equality.
[tex]4 + 9 = 4 + 9[/tex]
can be simplified to
[tex]13 = 13[/tex]
Which is explains why it is the reflexive property.
Help plzzzz I don't understand how to do this
Answers
Mercury's distance = 5.8 x 10¹⁰
Venus' distance = 1.86 farther or more than Mercury's, namely 1.86(5.8 x 10¹⁰)
Earth's distance = 2.58 farther or more than Mercury's, namely 2.58(5.8 x 10¹⁰)
[tex]\bf \stackrel{\textit{venus' distance}}{1.86(5.8\times 10^{10})}\implies \begin{cases} 1.86(58000000000)\\ 107880000000\\ 1.0788\times 10^{11} \end{cases} \\\\\\ \stackrel{\textit{earth's distance}}{2.58(5.8\times 10^{10})}\implies \begin{cases} 2.58(58000000000)\\ 149640000000\\ 1.4964\times 10^{11} \end{cases}[/tex]
about how many meters farther is Earth's than Venus? well, we can simply get their difference, we know the Earth is farther than Venus, so we can just subtract Venus' distance from Earth's to get the difference, namely 149640000000 - 107880000000.
[tex]\bf \stackrel{earth}{149640000000} - \stackrel{venus}{107880000000}~~ = ~~41760000000\implies \stackrel{\textit{rounded up}}{4.2\times 10^{10}}[/tex]
Which of the following is the solution to | x | +5 <= 1
Answers
Answer:
NO SOLUTION
Step-by-step explanation:
Step 1: Subtract 5 from both sides
|x| + 5 - 5 ≤ 1 - 5
|x| ≤ -4
x ≤ NO SOLUTION
Answer: NO SOLUTION
The functions f(x) and g(x) are defined below.
f(x)= 2e^x + 1
g(x)= 1/2e^x + 5/2
Determine where f(x) = g(x) by graphing.
A. x = 0
B. x = 0; x = 3
C. x = 1; x = 3
D. x= 3
Answers
Answer:
Answer : A x=0
Step-by-step explanation:
hello :
f(x)= 2e^x + 1 graph red
g(x)= 1/2e^x + 5/2 graph bleue
2e^x + 1
= 1/2e^x + 5/2
by graphic solution one solution x=0
Answer:
d) x=3
Step-by-step explanation:
Please help :( I don’t u derstand it
Answers
Answer:
[tex]\frac{3}{(2x+7)}[/tex]
Step-by-step explanation:
[tex]\frac{3x +3}{2x^2 + 9x + 7}[/tex]
[tex]\frac{3(x + 1)}{(2x + 7)(x + 1)}[/tex]
[tex]\frac{3}{(2x+7)}[/tex]
Answer: [tex]\frac{3}{(2x+7)}[/tex]
GRAPH BELOW:
Greg's ceiling fan rotates 30 degrees and then stops. How many more times does it need to rotate to make a full rotation?
Answers
Answer:
330 degrees
Step-by-step explanation:
a full rotation is 360 degrees and if you subtract 30 from 360 its 330
Final answer:
To complete a full rotation, Greg's ceiling fan, which has already rotated 30 degrees, needs to rotate one more time, as there are 330 degrees left to reach 360 degrees, which is a full rotation.
Explanation:
Greg's ceiling fan rotates 30 degrees and stops. To determine how many more times the fan needs to rotate to complete a full rotation, first, we need to know that one full rotation is equal to 360 degrees. As the fan has already rotated 30 degrees, we subtract this from 360 degrees:
360 degrees - 30 degrees = 330 degrees.
Now, because one full rotation is 360 degrees, we divide the remaining degrees by 360 to find the number of additional rotations needed:
330 degrees / 360 degrees per rotation = 0.9167 rotations.
Since a fan cannot complete a fraction of a rotation in terms of action, Greg's ceiling fan would need to rotate one more time to make it a complete rotation.
X/4 < -1.5 for a million dollars and Brainliest. Send cash app too
Answers
Answer:
x < -6
Step-by-step explanation:
X/4 < -1.5
Multiply each side by 4
X/4*4 < -1.5*4
x < -6
∠ABC measures 124° and ∠MNO measures 56°. Therefore, the two angles are
Answers
Answer:
Supplementary
Step-by-step explanation:
Since the two angles add up to 180 degrees, they are supplementary
Joshua and his friend Maxine want to buy charcoal pencils to add to their growing collection of art
supplies. They go to store A and find out that a 10 pack is worth $16.25. But at store B a 10 pack is worth
$7.65 but of lesser quality. Find out how much one pencil is worth at store A and store B.
Answers
A wise man once said,
“400 reduced by 3 times
my age is 244." How old is
the wise man?
Answers
The wise man's age can be calculated by solving the equation 400 - 3x= 244, leading to the solution that he is 52 years old.
To determine the wise man's age, we need to set up an equation based on the given statement:
Let's call the wise man's age x
The statement says, "400 reduced by 3 times my age is 244." This can be written as:
400 - 3x = 244
To find x, follow these steps
400 - 3x = 244
3x = 400 - 244
3x = 156
x = 156 / 3
x = 52
So, the wise man is 52 years old.
Hi, I need help with my math please
Answers
Answer:
Answer:
A-H are all true facts except for C which is false. that you have to show and prove are true and false.
Rate of change Purr Island (5 questions name the letter to the workings answer and matched it) Show constant = 4 cats per year also seen as 40% rate of change. The common factor of 3 is only seen up on year 1 and year 4. as year 0 shows 2 and 4 does not fit into 2. Explain year 2 that 4 does not fit into 10 on year 2 does not as 2p-6p-10p-14p-18p may change 10p over the last 3 years and CF 3 does not fit into that or any individual (adjacent) proceeding years.
Step-by-step explanation:
The rate of change Meow Island : 3 of the 8 questions is asked to say true to all of them (name the letter to the answer the workings after you wrote this and matched it) Shows it triples = and yes they have common factors of 3 show 2, 6, 18, 54, 162 each share a common factor of 3, draw tree diagrams or show common factors of 3 and state you compare them to factors of 2 162>2x81 162> 3x27 54>2x27 54>3x18 18>2x9
18>3x6 6>2x3 6>3x2 2>2 population start number this doesnt have a common factor until it is factored into 6 ro show a common factor for 6. This also proves linear change occurs over the 4 years as population 2-156 is a series of 4 changes and underline the >3x numbers.
14+16+11+2+6+6+15+2+11
And round to the nearest tenth
Answers
Answer:
83
Step-by-step explanation:
Add the numbers together
Answer:
80
Step-by-step explanation:
14 + 16 = 30
30 + 11 = 41
41 + 2 = 43
43 + 6 = 49
49 + 6 = 55
55 + 15 = 70
70 + 2 = 72
72 + 11 = 83, which, rounded to the nearest tenth, is 80
Write each function in vertex form, and identify its vertex.
14. h(x)=3x^2−24x+53
15. h(x)=x^2 +8x−10
16. g(x)=x^2 −3x+16
17. h(x)=3x^2 −12x−4
Answers
Answer:
its C or 16
Step-by-step explanation:
find value of a and b in the triangle. (please help)
Answers
180-138= 42 (a)
To find b, we use the fact that a straight line is also 180.
So, 180-42 = 138.
after five days in her new job, karen has $800 in her bank account. if she is adding exactly $50 to her account each day, when will her balance reach $1000? explain.
Answers
Answer:
After 4 more days
Step-by-step explanation:
The remaining amount of money needed to reach the goal is $200 this is because 1000-800=200
Now we divide the 200 by the amount Karen earns a day
200/50=4
That means after 4 more days Karen will have $1000
Help with this question
Answers
Answer:
158
Step-by-step explanation:
20 + 60 + 40 = 120 + 38 = 158
I think this is right. (I tired)
Write the equation of a line in y =mx+b
form that has a slope of 3/4 and a y-intercept of 0.
Answers
Answer:
y = ¾x
Step-by-step explanation:
y = mx + b, where
m = slope and
b = y-intercept
If slope = ¾ and y-intercept =0, the equation is
y = ¾x
what is the third angle of a triangle if two of the angles measure 29 ° and 87 °.
Answers
Answer:
64°
180°-29°-87°=64°
Janet has three coins.
One coin has a value
that is 5 times another
coin. The third coin has
a value that is 2 times
another coin. She has
404 altogether. What
coins does she have?
Write an equation to
represent your work and
solve.
Answers
Answer:
Janet has coins worth 252.5, 101, and 50.5.
Step-by-step explanation:
Let us call the three coins [tex]a,b[/tex], and [tex]c[/tex].
The first coin [tex]a[/tex] is 5 times another coin (let's say [tex]b[/tex]); therefore,
[tex]a = 5b[/tex],
and the third coin is 2 times the value of another coin (it's coin [tex]b[/tex]):
[tex]c =2b[/tex].
The total worth of all coins is 404; therefore,
[tex]a+b+c =404[/tex]
or
[tex]5b+b+2b =404[/tex]
[tex]8b =404[/tex]
[tex]\boxed{b = 50.5}[/tex]
with the value of [tex]b[/tex] in hand, we find [tex]a[/tex] and [tex]c[/tex]:
[tex]a = 5b = 5(50.5)[/tex]
[tex]\boxed{a = 252.5}[/tex]
and for [tex]c:[/tex]
[tex]c = 2 b = 2 (50.5)[/tex]
[tex]\boxed{c = 101}[/tex]
Thus, Janet has 3 coins worth 252.5, 101, and 50.5.