Given:
The equation is
[tex]\dfrac{7}{2}n=3n+4[/tex]
To find:
The properties which is not used from the given options.
Solution:
We have,
[tex]\dfrac{7}{2}n=3n+4[/tex]
Using Multiplication Property of Equality, multiply both sides by 2.
[tex]2(\dfrac{7}{2}n)=2(3n+4)[/tex]
[tex]7n=6n+8[/tex] (Distributive Property)
Using Subtraction Property of Equality, subtract 6n from both sides.
[tex]7n-6n=6n+8-6n[/tex]
[tex]n=8[/tex]
From the given options only one property is not used, i.e., Zero Product Property.
Therefore, the correct option is D.
Find the 10th term of the geometric sequence whose common ratio is
1
and whose first term is 6.
Answer:
6
Step-by-step explanation:
Use the formula
ar^n-1
where a=6 and r=1
Hannah has a credit card with an APR of 11. 90% and a billing cycle of 30 days. The following table shows Hannah’s transactions in the month of April. Date Amount ($) Transaction 4/1 322. 95 Beginning balance 4/10 19. 87 Purchase 4/14 50. 00 Payment 4/19 71. 21 Purchase If Hannah’s credit card company calculates finance charges using the daily balance method, what will her April finance charge be? a. $2. 71 b. $3. 20 c. $3. 30 d. $3. 61.
The finance charge of April month of Hannah's credit card which is calculated by daily balance method is $3.30.
What is finance charge?The finance charge is the amount of the money which borrowed, including the interest amount and other fees.
The following table shows Hannah’s transactions in the month of April.
Date Amount ($) Transaction
4/1 322.95 Beginning balance
4/10 19.87 Purchase
4/14 50.00 Payment
4/19 71. 21 Purchase
Average balance in the account,
[tex]A=(322.95\times10)+[(342.87)\times4]+(292.82\times5)+(364.03\times11)\\A=10069.41[/tex]
Hannah has a credit card with an APR of 11. 90% and a billing cycle of 30 days. The finance charges,
[tex]\rm FC=\dfrac{10069.41\times11.9}{365\times100}\\FC\approx3.30[/tex]
Hannah’s credit card company calculates finance charges using the daily balance method,
The finance charge of April month of Hannah's credit card which is calculated by daily balance method is $3.30.
Learn more about finance charges here;
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What is y=-1/4x+4 written in standard form?
Answer:
x + 4y = 16
Step-by-step explanation:
have a good day
Answer:
x + 4y = 16
Step-by-step explanation:
What is the difference between 7/10 and 14/15
Answer:
11
Step-by-step explanation:
If r= 9 units and x = 4 units, then what is the volume of the cylinder shown above?
Answer:
Volume of the cylinder is. 1017.36
Step-by-step explanation:
[tex]V=\pi r^2h[/tex] is the area of a cylinder.
Let's plug in our values.
-----
3.14 = pi
9 = radius
x = height
-----
V = (3.14)(9)^2(4)
V = (3.14)(81)(4)
V = (3.14)(324)
V = 1017.36
pls answer , please brainlist
Answer: Option 4 - 1440
Step-by-step explanation:
2 Square Sides : Take 12 times 12 and times by two for both sides.
12 x 12 = 144 144 x 2 = 288
4 rectangular sides : The multiplication of 12 times 24
12 x 24 = 288 288 x 4 = 1152
Added All Together : 288 + 1152 = 1440
What is the solution to the system of equations below?
x + 3 y = 15 and 4 x + 2 y = 30
(7 , 2)
(2, 7)
(4, 3)
(3, 4
Answer:
Step-by-step explanation:
x + 3y = 15 ×4
4x + 2y = 30 ×1
4x + 12y = 60
- - -
4x + 2y = 30
10y = 30
y = 30/10
y = 3
To solve for x, substitute y = 3 into any of the equations
x + 3(3) = 15
x + 9 = 15
x = 15 - 9
x = 6
(6,3)
This should be the answer but I don't see that in the options u listed, so I don't know what else it should be.
The required solution to the system of equations is (x, y) = (6, 3).
Given the system of equations:
x + 3y = 15
4x + 2y = 30
Multiply Equation 1 by 2 to make the coefficients of y in both equations equal:
2(x + 3y) = 2(15)
2x + 6y = 30
Subtract Equation 2 from the modified Equation 1 to eliminate the variable x:
(2x + 6y) - (4x + 2y) = 30 - 30
-2x + 4y = 0
Divide the resulting equation by 2 to simplify it further:
-x + 2y = 0
Now, we have a new equation:
3) -x + 2y = 0
Add the new Equation 3 to the original Equation 1 to eliminate the variable x again:
(x + 3y) + (-x + 2y) = 15 + 0
5y = 15
Solve for y:
y = 15 / 5
y = 3
Now, substitute the value of y back into Equation 1 to find x:
x + 3(3) = 15
x + 9 = 15
x = 15 - 9
x = 6
Learn more about equations here:
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Sallie Woo worked these hours last week: Monday, 10; Tuesday, 8 1/4; Wednesday, 9 1/2; Thursday, 6; Friday, 8; Saturday, 5. Sallie is paid $11.40 per hour for regular hours, time and a half for overtime during the week, and double time for weekend hours. If Sallie works on an 8-hour day basis, what was her pay for the week?
Answer:
Her pay for the week= $ 611.325
Step-by-step explanation:
Sallie is paid $ 11.40 per hour for regular hours.
The total regular hours worked during the week are
Monday + Tuesday + Wednesday + Thursday+ friday = 8 + 8+ 8+6+8= 38 hours
She works overtime during the week
Monday + Tuesday + Wednesday = 2+ 1/4+ 1 1/2= 2+ 1/4 + 3/2
= 8 +1+ 6/4=15/4 = 3 3/4 hours
Over the weekend she works five hours .
So the total pay would be
$ 11.40( 38 ) + $ 11.40( 1.5) ( 15/4) + $ 11.40 ( 2) ( 5)
= 433.2 + 64.125 + 114.0
= $ 611.325
Cual es la ecuación de la recta que pasa por el punto (1, 2) y tiene una inclinación de 71.56505118
Answer:
La inclinación de una recta esta definida como el ángulo entre el eje x positivo y la recta.
Primero, podemos escribir genéricamente una recta como:
y = p*x + s
donde p es la pendiente de la recta, y s es la ordenada al origen.
Sabemos que para una recta que pasa por los puntos (a, b) y (c, d) podemos escribir la pendiente como:
p = (d - b)/(c - a)
Y también sabemos que si θ es el ángulo de inclinación, entonces:
p = tan(θ)
Entonces en este caso sabemos que:
p = tan(71.56505118°) = -0.828
Entonces esta recta es:
y = -0.828*x + s
y sabemos que pasa por el punto (1, 2), entonces podemos remplazar esos valores en la ecuación para encontrar el valor de s.
2 = -0.828*1 + s
s = 2 + 0.828 = 2.828
La ecuación es:
y = -0.828*x + 2.828
A right cylinder is sliced perpendicular to its base.
What is the shape of the resulting two-dimensional cross section?
A. Triangle
B. Trapezoid
C. Circle
D. Rectangle
When a right cylinder is sliced perpendicular to its base, the cross section that we will have is
D. Rectangle
Mensuration of SolidsDescription of Rectangle
A rectangle is a solid shape with six faces and four vertices, it has two of it sides equal.
Description of Cylinder
We have the square based cylinder, the triangular base cylinder etc.
Unlike the Rectangle, the cylinder has no vertice.
Please see attached the image of cylinders
Learn more about cylinders here:
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Answer:
The players club is playing with the players
Step-by-step explanation:
give me a good Answer to my Question
What is the scale factor of this dilation? a:1/2 b:2/3 c:3/4 d:3/2
Someone help me please!
Answer:
Your answer is no.
Step-by-step explanation:
It is only proportional up till 3/84, the next one is 4/112, not 4/100
Use a calculator to find decimal estimates to two decimal places (hundredths) for the following irrational number: √19
Answer:
The answer is 4.35, rounded two decimals to hundredths place.
some text here to make the answer slightly longer for some good reasons. yep.
Graham sold 6 magazines less than double what Adrianne sold which of the following Expressions represents Graham's sales 6A minus 2 2.2 C's a - 6/8 squared - 628 - 6 which of the following is the correct answer
Answer: 33
Step-by-step explanation:
how to do this question plz
Step-by-step explanation:
Hey there!
Here;
The equation is; y = 3x + 2
X = -2 -1 1 2
y = -4 -1 5 8
Now; the coordinates are ; (-2,-4), (-1,-1), (1,5), (2,8).
After this plot them on graph.
Hope it helps..
Find f( -1 ) with the graph
we can find the point ( - 1 ; -2) on the curve
so f(-1) = - 2
Which relationships have the same constant of proportionality between yyy and xxx as the equation y=\dfrac{5}{2}xy= 2 5 xy, equals, start fraction, 5, divided by, 2, end fraction, x? Choose 3 answers: Choose 3 answers: (Choice A) A 5y=2x5y=2x5, y, equals, 2, x (Choice B) B 8y=20x8y=20x8, y, equals, 20, x (Choice C) C (Choice D) D (Choice E) E xxx yyy 111 2\dfrac{1}{2}2 2 1 2, start fraction, 1, divided by, 2, end fraction 444 101010 777 17\dfrac{1}{2}17 2 1 17, start fraction, 1, divided by, 2, end fraction
Answer:
[tex]8y = 20x[/tex]
Step-by-step explanation:
Given
[tex]y=\dfrac{5}{2}x[/tex]
Required
Determine equivalent expressions
A. 5y = 2x
[tex]y=\dfrac{5}{2}x[/tex]
Multiply through by 5
[tex]5 * y=\dfrac{5}{2}x * 5[/tex]
[tex]5y=\dfrac{25}{2}x[/tex]
This is not equivalent
B. 8y = 20x
[tex]y=\dfrac{5}{2}x[/tex]
Multiply both sides by 8
[tex]8 *y=\dfrac{5}{2}x * 8[/tex]
[tex]8y=\dfrac{5 * 8}{2}x[/tex]
[tex]8y=\dfrac{40}{2}x[/tex]
[tex]8y = 20x[/tex]
The other options are not clear.
However, another possible relationship is when
[tex]y=\dfrac{5}{2}x[/tex]is cross multiplied
This gives:
[tex]2y = 5x[/tex]
Answer:
d= y =x
Step-by-step explanation
i clicked on all the awnser and got it write
Starting at noon, the temperature dropped steadily at a rate of 0.8 degrees Celsius every hour. For each of these situations, write and solve an equation and describe what your variable represents. a. How many hours did it take for the temperature to decrease by 4.4 degrees Celsius?
Answer:
5.5 hours
Step-by-step explanation:
For every 1 hour, there is a 0.8 degrees Celsius drop in temperature.
Let "t" represent the total amount of temperature dropped.
Let "h" represent the number of hours
The given scenario can be represented with the equation below:
[tex] t = 0.8h [/tex]
To find the number of hours (h), it takes for the temperature to decrease by 4.4 degrees Celsius, plug in the value of t in the equation, and solve for h.
[tex] t = 0.8h [/tex]
[tex] 4.4 = 0.8h [/tex]
Divide both sides by 0.8
[tex] 5.5 = h [/tex]
It would take 5.5 hours for the temperature to decrease by 4.4 degrees Celsius.
What is 44.8 multipled by 44.8
Answer:
2007.04
Step-by-step explanation:
Evaluate: |-18|+|-15|+|-8|
Answer:
18+15+8= 41
Step-by-step explanation:
some words to ask
Help ASAP!! Do not solve the equation just state it please! If you translate both of these I will give you brainliest!!
1. Write the equation, eight more than the quotient of a number y and negative three is negative 24.
2. Write the equation, seven less than the product of a number and nine is twenty.
Answer:
1. 8y/-3 = -24
2. 9x - 7 = 20
Joogh bought reaps for $3 each and biscuits for $6 each. The total cost was 108. Write an equation in standard form showing the relationship reaps (x) and biscuits (y)
Answer:
3x + 6y = 108
Step-by-step explanation:
We are given the cost of x ($3) and y ($6) and the total cost (which will be on the right side of the = sign)We know that x + y = total. This means that we will add $3 and $6 to get the total.You would multiply $3 by x in case there is more than one reap purchased. This applies to biscuits as well.In conclusion, you would use this information to get...3x + 6y = 108 (or $3y + $6y = $108)If I am incorrect in my reasoning, please let me know so that I can plan better for my future answers. Have an amazing day.
Which graphs show a proportional relationship? Select all that apply.
Answer:
A, D
Step-by-step explanation:
The graph of a proportional relation is a straight line that passes through the origin.
Answer: A, D
PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS ASAP
Answer:
LN and RQ
Step-by-step explanation:
PQR is just an enlargened version of MLN
RQ is just LN but longer
Answer:
-10 vertical and -1 horizontal
if a=17 and b=12 what is the value
of a-b
a-b= ?
17-12= 5
? = 5
Please mark as brainliest
Answer:
5
Step-by-step explanation:
Solving
Step 1: Plug in the variables.
[tex](17)-(12)[/tex]Step 2: Subtract 12 from 17.
[tex]17-12[/tex] [tex]5[/tex]Therefore, the answer is 5.
Have a lovely rest of your day/night, and good luck with your assignments! ♡
I just need help so can someone help me with the answer and walk me through the work
8. 4x²+3y = 4(4)²+3(5) = 4(16)+15 = 64+15 = 79
basically you have to substitute the variable for the given value. (ex. x is replaced by 4 and y is replaced by 5 and z is replaced by 3) FOR BOTH PROBLEMS!
9. (y+z)/x = (5+3)/4 = 8/4 = 2
URGENT
A mailman (M) is located 450 feet from a Post Office (P). The mailman notices a bird (B) flying at a 42° angle of elevation from his line of sight. How high (h) is the bird flying over the Post Office? Round to the nearest whole number. (Show all work)
Answer:
We can use the sine law to find h. First, we determine the angle between the line of sight and h:
180 - 90 - 39 = 51 degrees
The sine law states that the ratio of one triangle's angle to the opposite side's length is the same as another angle to its opposite side's length, so we can solve for h as follows:
h/sin(39) = 500/sin(51)
h = 500*sin(39)/sin(51)
When we round to the nearest whole number, we get h = 405 ft.
Is it important to know the steps in solving your own problems? why or why not
Answer:
yes
Step-by-step explanation:
because when you include the steps, you can find out where you made a mistake (in case) and correct it easily.
A rectangular driveway is 40 feet long
and 14 feet wide. What is the
perimeter of the driveway?
Answer:
p=108
Step-by-step explanation:
Answer:
108 ft^2
Step-by-step explanation:
_____________
| |
| |
| | 40ft
| |
| |
_____________
14ft
40+40+14+14 = 108 ft squared
"The sum of a number and one-half of the number is 45. Find the
number." if anyone could tell me the answer and how to get it, id appreciate it!!!
Answer:
the number is 30
Step-by-step explanation:
the formula i used goes like this
x+2x=45
3x=45
x=15
2x=30
So x is equal to the half number, therefore 2 times x is the whole number. Then you just do algebra to figure it out from there! hope this helps.
I p and q vary inversely and p is 8 when q is 6, determine q when p is equal to 12.
Answer:
Step-by-step explanation: