Answer:
Option D) [tex]\huge\sf{n\:=\:\frac{(T\:-\:15)}{c}}[/tex]
Step-by-step explanation:
Given the equation, T = 15 + c × n, where:
T = represents the total monthly gym cost
c = represents the additional charge for a group class, and
n = represents the number of group classes attended
Solution:In order to determine which equation can be used to find the number of group classes a customer attended, if there are given values for c and T, we must isolate the variable, n algebraically.
The first step is to subtract 15 from both sides:
T = 15 + c × n
T - 15 = 15 - 15 + c × n
T - 15 = c × n
Next, divide both sides by c to isolate n :
[tex]\huge\mathsf{\frac{({T\:-\:15})}{c}\:=\:\frac{{c\:\times\:n}}{c}}[/tex]
[tex]\huge\sf{n\:=\:\frac{(T\:-\:15)}{c}}[/tex]
Therefore, the correct answer is Option D) [tex]\huge\sf{n\:=\:\frac{(T\:-\:15)}{c}}[/tex].
Find a trinomial for the area of the rectangular rug shown on the right whose sides are x+2 feet and 3x-1 feet.
The trinomial for the rectangular rug is 3x² + 5x - 2
A polynomial is an expression consisting of the operations of addition, subtraction, multiplication of variables.
A trinomial is a polynomial with three terms.
The area of a rectangle = length * width
Area of rectangle = (x + 2) * (3x - 1) = 3x² + 6x - x - 2
Area of rectangle = 3x² + 5x - 2
The trinomial for the rectangular rug is 3x² + 5x - 2
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Can someone please give me the (Answers) to this? ... please ...
I dentify the idlowing pairs. of angles.
1.<1 and <4
2.<1 and <5
3. <2 and <8
4.<4 and <5
5. <3 and <5
6.<3 and <6
7.<2 and <6
8.<1 and <8 /
/
<————-1——2—————>
3 / 4
5 / 6
<————————————>
7 / 8
/
1 / 2
<————---———————>
3 / 4
5 / 6
<————————————>
7 / 8
ANGLE TYPES: Vertical, Adjacent, Linear, Complementary, Supplementary, Co-Interior, Alternate Interior, Alternate Exterior, Corresponding,
ANSWERS:
1. Vertical
2. Corresponding
3. Supplementary
4. Alternate Interior
5. Co-Interior
6. Alternate Interior
7. Corresponding
8. Alternate Exterior
Which of the following is a solution to the inequality below?19 ≥ 5k + 6
Answer:
k ≥ 13/5 or k ≥ 2.6 ( same thing )
Step-by-step explanation:
symbol stays the same throughout (≥)
subtract 6 from both sides of the symbol ( 13 ≥ 5k)
divide both sides by 5 (13/5 ≥ k )
your answer can be written as k ≥ 13/5 or k ≥ 2.6
write the equation of a line parallel to 2x+3y=12 that passes through the point (-3,4)
Answer:
[tex]y = \frac{-2}{3}x + 2[/tex]
Step-by-step explanation:
The first step is convert the given equation in a dependent and independent equation.
[tex]2x + 3y = 12[/tex]
[tex]3y = 12 - 2x[/tex]
[tex]y = 4 - \frac{2}{3}x[/tex]
[tex]x[/tex] is the independent variable and [tex]y[/tex] the dependent variable.
Since both lines are parallel the slope of both equations are the same
[tex]y = \frac{-2}{3}x + b[/tex]
Now for find the unknow [tex]b[/tex] replace the [tex]x[/tex] and [tex]y[/tex] fo the given point.
[tex]4 = (\frac{2}{3})3 + b[/tex]
[tex]4 = 2 + b[/tex]
[tex]4 - 2 = b[/tex]
[tex]2 = b[/tex]
So the final equation is equal to
[tex]y = \frac{-2}{3}x + 2[/tex]
solve the median of 4,5,3,4,3,1
Answer:
arrange them in order = 1,3,3,4,4,5
then cancel them slowly from both side = 3,3,4,4
until u find a single number or two number.
for two number which is same as this do (3+4)/2 which is 7/2 = 3.5
Step-by-step explanation:
4,5,3,4,3,1 (n = 6)
[tex] \\ \tt median = \frac{n + 1}{2} [/tex]
[tex] \\ \tt \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{6 + 1}{2} [/tex]
[tex] \\ \tt \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{7}{2} [/tex]
[tex] \\ \tt \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 3.5[/tex]
if 20 articles cost $90,then the cost of 9 articles is
Answer:
$40.50
Step-by-step explanation:
90 divided by 20 is 4.5. then you multiply that times 9 and that's your answer.
Tonis cat weighs 2,240 grams. How many kilograms does her cat weigh? Use 100 grams = 1 kilograms to convert the rates.
Answer: 2.24
Step-by-step explanation:
Firstly, one kilo is 1000 grams, not 100. 2240/1000=2.24
Toni's cat weighs 22.4 kilograms.
To convert grams to kilograms, we divide the weight in grams by the conversion rate of 100 grams per 1 kilogram.
For Toni's cat weighing 2,240 grams, we divide 2,240 by 100 to get the weight in kilograms.
2,240 grams / 100 grams per kilogram = 22.4 kilograms.
Therefore, Toni's cat weighs 22.4 kilograms.
The conversion rate of 100 grams to 1 kilogram allows us to easily convert weights from smaller units (grams) to larger units (kilograms). In this case, dividing the weight in grams by 100 gives us the weight in kilograms, providing a simple way to convert between the two units.
Learn more about conversion here
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Using the diagram and information below to find the measure of the missing angles. Don't forget to show your work and label your answer. Suppose mz1 = 105° 1/2 4 / 3 What are m22. m23 and mz4? mz2 = m23 = m24 =
please help (:
Answer:
m∠2 = ______75__
m∠3 = ____105____
m∠4 = _____75___
Step-by-step explanation:
i did the math
What is the square root of 8 and 24?
Answer:
√8 = 2.828427125
√24 = 4.89897948557
-
How many solutions does the equation 2 + 6(x - 4) = 3x - 18 + 3x have?
A)0
B)1
C)2
D) Infinite
Answer:
C because it's a quadratic equation and it can be solved by factorization and completing the square method and also general formula
please help me mate, would ya? please
x=2 y=3 3x2 is 6, then 6-3 is 3.
x=3 y=6 3x3 is 9, then 9-3 is 6
x=4 y=9 3x4 is 12, then 12-3 is 9.
x=9 y=24 3x9 is 27, then 27-3 is 24.
Answer: (2,3) , (3,6) , (4,9) , (9,24)
Step-by-step explanation: In order to get the values of y you need to plug each value of x into the function y=3x-3. to find the value of your first y you would plug in 2 to y=3x-3 which would look like 3(2)-3 and you would solve from here to get y. using PEMDAS 3 times 2 is 6 and 6 minus 3 is 3 making your y value 3 and the point (2,3). If you plug in all the other x's (3,4,9) to the function you will get the values of y for that specific x too.
Hope this helped!
plz help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
Use DESMOS to plot both lines (attached).
If you make your own lines on the graph paper, pick two points for each line and connect them with a ruler. Both are straight lines, so we only need two points.
Pick any two values of x and solve each equation for y. I picked x = 1 and 3
EQ1: y=2x-2
EQ2: y=-x+4
Value of y EQ1 EQ2
x =1 0 3
x =3 4 1
Plot the points (1,0) and (3,4) for EQ1.
Do the same for EQ2: (1,3) and (3,1)
The attached graph shows these points. Note that one can draw stright lines for both equations using only these two points.
Jessica has £600.
She gives 50% to her mother.
Jessica gives 10% to her brother.
She keeps the rest.
How much money does Jessica keep?
Answer:
she keeps 270
Step-by-step explanation:
have of 600 is 300 10 percent of 300 is 30
300-30 is 270
Will give brainliest!
Select all tables that represent a proportional relationship between x and y.
Answer:
A & D
Step-by-step explanation:
A:
[tex]y = \frac{6}{5} x[/tex]
D:
[tex]y = 4x[/tex]
3x^3 -5x^2 -x+3 when x=4 help I'm stuck on this
The value of the expression [tex]3x^3-5x^2-x+3[/tex] when x = 4 is 110
The given equation is:
[tex]3x^3-5x^2-x+3[/tex]
To find the value of [tex]3x^3-5x^2-x+3[/tex] when x = 4, substitute x = 4 into the expression [tex]3x^3-5x^2-x+3[/tex]
When x = 4:
[tex]3x^3-5x^2-x+3 = 3(4^3)-5(4^2)-5+3\\\\3x^3-5x^2-x+3 =3(64)-5(16)-2\\\\3x^3-5x^2-x+3 =192-80-2\\\\3x^3-5x^2-x+3 =110[/tex]
Therefore, the value of the expression [tex]3x^3-5x^2-x+3[/tex] when x = 4 is 110
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Please help meeeeeeeeeeeeee
Answer:
-47
Step-by-step explanation:
First term in the sequence is given as 30. The common difference (difference between first term and next term) is -7. Since we are looking for the 12th term we can do 30 - (11 * -7) = -47. It's 11 * -7 because we already are given one term in the problem statement.
if there was 200 kids= 100% and 43 of them left what is the percent
Answer:
It would be 86 as 43% of 200 is 86
Step-by-step explanation:
Please help Please help
Answer:
with what
Step-by-step explanation:
What is the first step in solving this equation?
3(2x + 6) - 4x = 2(5x - 2) + 6
Use the subtraction property of equality to subtract 6 from both sides.
Use the addition property of equality to add 4x to both sides.
Combine the like terms on each side of the equation.
O Use the distributive property on each side of the equation.
Answer: use distributive property
Step-by-step explanation:
consider the expression
[tex] \sqrt{a^{2} + 12 } + |b| [/tex]
when a = -2 and b= 14. what is the value of the expression?
show work
Answer:
18
Step-by-step explanation:
[tex]\sqrt{((-2)^2 + 12)} + 14[/tex]
= [tex]\sqrt{(4 + 12)} + 14[/tex]
= [tex]\sqrt{16}+14[/tex]
= 4 + 14
= 18
Hope this helps!
Answer:
[tex] \sf 18[/tex]
Step-by-step explanation:
[tex] \sf = \sqrt{ { - 2}^{2} + 12} + |14| [/tex]
[tex] \sf = \sqrt{(( - 2) \times ( - 2)) + 12} + 14[/tex]
[tex] \sf = \sqrt{4 + 12} + 14[/tex]
[tex] \sf = \sqrt{16} + 14[/tex]
[tex] \sf = \sqrt{ {4}^{2} } + 14[/tex]
[tex] \sf = 4 + 14[/tex]
[tex] \sf = 18[/tex]
PLEASE HELP QUICK!!
what is the slope of this line?
I think it might be D
It took Jason 20 days to write his college essay. He wrote half a page (0.5) every day. How long was the report?I need an explanation to so I can understand, thank you!
La casa de Camilo está a 4 cuadras a la derecha de la casa de Andrés, la casa de Rodrigo está a 2 cuadras a la izquierda de la casa Camilo ¿Cuántas cuadras hay entre las casas de Andrés y Rodrigo?.
La casa de Rodrigo está dos cuadras a la derecha de la casa de Andrés.
En esta pregunta, debemos leer el enunciado y obtener las ecuaciones equivalentes antes de obtener su solución. En este caso tenemos las siguientes dos ecuaciones:
(i) La casa de Camilo está a 4 cuadras a la derecha de la casa de Andrés.
[tex]c - a = 4[/tex] (1)
(ii) La casa de Rodrigo está a 2 cuadras a la izquierda de la casa de Camilo.
[tex]r - c = -2[/tex] (2)
Si sumamos (1) con (2), entonces obtenemos la siguiente ecuación entre las casas de Andrés y Rodrigo:
[tex]r - a = 2[/tex]
En síntesis, la casa de Rodrigo está dos cuadras a la derecha de la casa de Andrés.
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The circumference of a circle is 14.444 miles. What is the circle's diameter?
Answer:
2.29883
formula
[tex]c = 2 \times \pi \times r[/tex]
solving for (r) radius
[tex]r = \frac{c}{2\pi} = \frac{14.44}{2 \times \pi} [/tex]
= 2.29883
Help!!! evaluate peicewise functions
Answer:
9
Step-by-step explanation:
You choose the middle one because 3<(4)<10 makes sense where as the other ones don't when you plug in 4. Then you solve the equation which is x^2-7 and then you get 16-7 which is 9.
Please help, thank you (NO LINKS!)
Patsy has cheerleading practice every fourth day. She wants to be in the school play, but they have practice every sixth day. If both start on September 5th, what would be the next date she has to choose between cheerleading and play practice? Show your work and explain.
Answer:
the first time 4 and 6 intersent is 24
so 24 days after september 5th
september 29th
Hope This Helps!!!
need help with math
Ah sorry I got it wrong, dear
What is -3m + 5m = -14? With work provided
Answer:
-7
Step-by-step explanation:
-3m+5m=-14
2m=-14
divide both sides by 2
m=-7
Answer:-3+5m is -8m
Step-by-step explanation: Because the 3 is negative and it is plus
0.1 x 0.01 x 0.001
ans ???
________
[tex] \: [/tex]
[tex]0.1 \times 0.01 \times 0.001 = ...[/tex]
[tex] = \frac{1}{10} \times \frac{1}{100} \times \frac{1}{1.000} [/tex]
[tex] = \frac{1}{10 \times 100 \times 1.000} [/tex]
[tex] = \bold{ \frac{1}{1.000.000}} [/tex]
Answer:
[tex]0.1 \times 0.01 \times 0.001 = 0.000001 \\ \\ \\ \\ i \: hope \: it \: is \: helpfull[/tex]
I suck at math help ill give brainliest
Answer:
3
Step-by-step explanation:
5x + 40 = 55
5x = 55 - 40
5x = 15
x = 15 / 5
x = 3