Write an equation from a real life situation
1. A membership at a yoga studio costs $35 per month, m. Write an equation to find the final cost, c?
2. After you wrote your equation, answer this question. Show your work.
" You attended the yoga studio for 20 months. What was the final cost?
Answer:
1. C=35m?
2.C=700 or $700
Step-by-step explanation:
1. Total Cost= Rate x Number of Months
2. C=35m
Cost=rate x number of months
C=35(20)
C=700 or Total Cost=$700
Answer:
1. c = 35m
2. c = 35 · 20
20 · 35 = $700
Step-by-step explanation:
2/3 divided by 5
Send help for me please
Answer: 0.13
Step-by-step explanation:
PLEASE SOLVE THIS FOR ME ITS MY MIDTERM
your class earned 90.00 saturday afternoon by washing cars to raise money for a class trip this is 1/6 of money needed for trip what is the total amount needed
Answer:
540
Step-by-step explanation:
We need 6 times 90 for the full amount.
Answer:
Total amount = 540
Step-by-step explanation:
let total amount = x
1/6 * x = 90
x = 540
Help please due in 25 minutes !!!
Answer:
Option B is correct from question point of view..In a filling line at A & C Foods, Ltd., the mean fill volume for rice bubbles is 475 grams and the standard deviation is 10 grams. The design specifications are [450, 495] grams. Any output outside of design specifications is treated as non-conforming. (1) Calculate the dpmo of the process (by calculating the area of non-conformance). Please type your answer in integers.
Answer:
The dpmo of the process is of 29000
Step-by-step explanation:
Dpmo of a process:
The dpmo of a process is the number of defects per million opportunities.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
In this question:
First, using the normal distribution, we calculate the proportion of defective bubbles. Then, using this proportion, we calculate the dpmo.
Mean fill volume for rice bubbles is 475 grams and the standard deviation is 10 grams.
This means that [tex]\mu = 475, \sigma = 10[/tex]
The design specifications are [450, 495] grams. Any output outside of design specifications is treated as non-conforming.
Below 450 and Above 495 are non-conforming.
Below 450:
The proportion is the pvalue of Z when X = 450. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{450 - 475}{10}[/tex]
[tex]Z = -2.5[/tex]
[tex]Z = -2.5[/tex] has a pvalue of 0.0062
Above 495:
The proportion is 1 subtracted by the pvalue of Z when X = 495. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{495 - 475}{10}[/tex]
[tex]Z = 2[/tex]
[tex]Z = 2[/tex] has a pvalue of 0.9772
1 - 0.9772 = 0.0228
The proportion of defectives is 0.0228 + 0.0062 = 0.0290
Dpmo:
Number of defects per million, that is, the proportion multiplied by 1000000.
1000000*0.0290 = 29000
The dpmo of the process is of 29000
знайдіть розв'язок системи лінійних рівнянь 10x-6y = 18 9x+6y=39
Answer:
(-21, -38)
Step-by-step explanation:
Given the simultaneous equation
10x-6y = 18 ... 1
9x+6y=39 ...2
Using the Elimination method
Subtract
10x - 9x = 18 - 39
x = -21
substitute x = -21 into 1;
From 1:
10x-6y = 18
10(-21)-6y = 18
-210 - 6y = 18
-6y = 18+210
-6y = 228
y = 228/-6
y =-38
Hence the solution to the system is (-21, -38)
3/5 x ?/? = 3/5 plz im on a test!
Answer:
Dont say its a test youll get reported and banned by brainly
Step-by-step explanation: also the answer is: 3/5 x 3/5 = 925 = 0.36
Answer: 1/1
Step-by-step explanation:
1/1 because it = 1 so that means 3/5 x 1/1 is 3/5
An automobile engineer is redesigning a conical chamber that was originally specified to be 12 inches long with a circular base of diameter
5.7 inches. In the new design, the chamber is scaled by a factor of 1.5.
The volume of the original chamber is
V cubic inches. This i
v cubic inches less than the volume of the new
chamber.
Answer:
the original volume is lesser than the new volume by 242.47 in³
Step-by-step explanation:
Volume of a cone is;
V = ⅓πr²h
Where;
r is radius
h is height
For the original chamber;
r = 5.7/2 = 2.85 inches
h = 12 inches
Volume of this original chamber is;
V_orig = ⅓ × π × 2.85² × 12
V_orig = 102.02 in³
In the new design, the chamber is scaled by a factor of 1.5.
Thus;
r_new = 2.85 × 1.5 = 4.275 inches
h_new = 12 × 1.5 = 18 inches
V_new = ⅓ × π × 4.275² × 18
V_new = 344.49 inch³
V_new - V_orig = 344.49 - 102.02 =
Thus, the original volume is lesser than the new volume by 242.47 in³
The sixth grade class is going to the local art musem's dinoaurexhibit. There was 52 students in the class. The total cost of the tickets for all the students is $364. What is the cost of one student ticket?
Write an equation in slope-intercept form for the line with slope -3/4 and y-intercept for 3
Answer:
y=-3/4x+3
Step-by-step explanation:
The formula is y=mx+b
m is the slope
b is the y-intercept
If you plug it in, you get y=-3/4x+3
Hope this helps!
A recipe for potato casserole calls for 7/4 cups of cheese. Write the fractions as a mixed number.
Jason launched a rocket for a physics experiment. This equation can be used to find
the height (h), in feet, of the rocket after t seconds.
h = -16t2 + 288t + 8
How many seconds will it take for the rocket to reach a height of 1,304 feet?
Answer:
5.063 seconds
Step-by-step explanation:
Use a graphing calculator to graph, then use the table functions to solve for 1304
or say
1304= rest of equations and solve for X
which expression is equivalent to 8(5x-3)
13x-11
13x-24
40x11
40x-24
Answer:
The last answer option.
A veterinarian prescribed Christy, a 31-pound dog, an antibacterial medication in case an infection emerges after her teeth were cleaned. If the dosage is 8.75 mg for every pound, how much medicine was given?
Answer:
271.25 mg
Step-by-step explanation:
The amount of medicine will be equal to 271.25 mg.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
It is given that a veterinarian prescribed Christy, a 31-pound dog, an antibacterial medication in case an infection emerges after her teeth were cleaned. The dosage is 8.75 mg for every pound.
The amount of medicine will be calculated as below:-
Amount = 31 x 8.75
Amount = 271.25 mg
Therefore, the amount of medicine will be equal to 271.25 mg.
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is this a function ???????
What is the recursive formula for this arithmetic sequence?
-7, -1, 5, 11, ...
Answer:
The answer is A
Step-by-step explanation:
why it is a is...
the first like is the # your arithmetic sentence starts with which is -1
the second line is what you do to get to the next #
each time you are adding 6
An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference. The correct option is A.
What is an arithmetic sequence?An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference.
The explicit formula for any arithmetic series is given by the formula,
[tex]a_n = a_1 + (n-1)d[/tex]
Also, the recursive formula for any arithmetic series is given by the formula,
[tex]a_n = a_{(n-1)} + d\\\\[/tex]
Or, it can be also written as,
[tex]a_{(n+1)} = a_{n} + d[/tex]
where d is the difference and a₁ is the first term of the sequence.
For the given arithmetic sequence, the common difference can be written as,
Common difference = -1 - (-7)
= -1 + 7
= 6
Now, the recursive formula for this arithmetic sequence can be written as,
[tex]a_n = a_{(n-1)} + 6[/tex]
Also, the first term of the given arithmetic series is -7.
a₁ = -7
Hence, the correct option is A.
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[tex]4x - {x}^{3} [/tex]
Please verify the following trigonometric identities.
1. [tex]\frac{\tan x + \tan y}{\cot x + \cot y} = \tan x + \tan y[/tex]
2. [tex]\frac{\sin^3x + \cos^3x}{\sin x + \cos x} = 1 - \sin x \cos x[/tex]
3. [tex]\tan(\frac{x}{2}) + \cos x \tan(\frac{x}{2}) = \sin x[/tex]
Seems like there is a correction in the first question (RHS is tanx.tany)
(i) For convenience: let tanx = a ; tany = b
Thus, tanx + tany = a + b
Moreover, cotx = 1/tanx = 1/a ; coty = 1/b
Thus,
cotx + coty = 1/a + 1/b = (a + b)/ab
Hence,
=> (tanx + tany)/(cotx + coty)
=> (a + b) / { (a + b)/ab }
=> ab(a + b)/(a + b)
=> ab => tanx.tany , proved.
(ii) For convenience: let sinx = a ; cosx = b
As we know, sin²x + cos²x = 1 => a²+b²=1
=> (a³ + b³)/(a + b)
=> (a + b)(a² + b² - ab) / (a + b)
=> (a² + b² - ab)
=> 1 - ab => 1 - sinx.cosx , proved
(iii): let x/2 = A
=> tan(x/2) + cosx.tan(x/2)
=> tanA + cos2A.tanA
=> tanA [1 + cos2A]
=> tanA (2cos²A) {1+cos2A = 2cos²A}
=> (sinA/cosA) (2cos²A)
=> sinA (2cosA)
=> 2sinAcosA
=> sin2A
=> sin2(x/2)
=> sinx proved
Letting x/2 = A is not mandatory. I did it to decease words*(in a line).
Indentities used:
• sin²A + cos²A = 1
• (a³ + b³) = (a + b)(a² + b² - 1)
• 1 + cosA = 2 cos²(A/2)
• tanA = sinA/cosA.
• 2sinAcosA = sin2A
Which algebraic expression is a polynomial with a degree of 5?
3x5 + 8x4y2 – 9x3y3 – 6y5
2xy4 + 4x2y3 – 6x3y2 – 7x4
8y6 + y5 – 5xy3 + 7x2y2 – x3y – 6x4
–6xy5 + 5x2y3 – x3y2 + 2x2y3 – 3xy5
At the movies, tickets cost $12 for adults and $6.50 for kids under 12.
How many total tickets would someone get if they purchased 7 adult
tickets and 9 kids tickets? How many total tickets would someone get if
they purchased a adult tickets and k kids tickets?
Answer:
104 in total
6.5k+12a=18.5ka
Step-by-step explanation:
1+1=???????????????????
Answer:
I.d.k I think 1 :)
Step-by-step explanation:
have a great day
2. Three pairs of jeans and six shirts cost $104.25. The cost of 4 pairs of jeans and 5 shirts
is $112.15. Find the cost of each pair of jeans and each shirt.
Answer:jeans = x = 16.85
shirts = y = 8.95
Step-by-step explanation:
That’s the answer bud
CAN YOU ANSWE QUESTION 1 and 2 please??
Answer:
B. $700
Step-by-step explanation:
The answer is A because.....
Step 1: Find the 7% of 2000.
a.) 7% of 2000 is 140.
b.) Check- So: 140/2000= 0.07 (7%)
Step 2: Multiply 140x5 which equals $700.
Although, I can’t really see the second question‘s options, as the calculations made for the previous question, she paid $140 each year.
I rlly hope this is helpful! If so, please, please, please mark brainliest! Thanks! :)
Answer:
c
Step-by-step explanation:
10 x 3 thousands how many thousands are in the answer
Answer:
30 thousands, or 30,000 units.
Step-by-step explanation:
Since the question refers to 10 x 3 thousands, to determine how many thousands are in the answer, the following calculation must be performed:
10 x 3 = 30
So there are 30 thousand in the answer, which is equal to 30,000.
There are five blue crayons, seven yellow crayons, and eight red crayons in a box. If one is randomly drawn and replaced 15 times, find the probability of drawing exactly four blue crayons.
0.2252
(Please mark me brainliest! thank you in advance!!)
if sinθ = A, find cos(π/2-θ)
(using trigonometric identities to fine the value)
Answer:
Cos(π/2 - θ) = A
Step-by-step explanation:
We know that:
Sin(θ) = A
And we want to find the value of Cos(π/2 - θ)
Here we can use the cosine relationship:
Cos(a - b) = Cos(a)*Cos(b) + Sin(A)*Sin(B)
Then:
Cos(π/2 - θ) = Cos(π/2)*Cos(θ ) + Sin(π/2)*Sin(θ)
We know that:
Cos(π/2) = 0
Sin(π/2) = 1
Then:
Cos(π/2 - θ) = Cos(π/2)*Cos(θ ) + Sin(π/2)*Sin(θ) = 0*Cos(θ ) + 1*Sin(θ)
= 1*Sin(θ) = A
Cos(π/2 - θ) = A
Find the area of the figure. 8.5 cm 9.5 cm 24 cm The area of the figure is_______cm2
Answer:
432 is the blank
Step-by-step explanation:
I just did this problem
1/3 divided by 4? Fractions
Answer:
1/12
Step-by-step explanation:
Samir just finished renovating a house during the renovation he added a steel beam as a support the steel beam was 15 feet long and cost $135 complete the statement by selecting the correct dollar amount from the provided list
the cost of the beam was _______per yard
Answer:
$27
Step-by-step explanation:
According to your question. The complete cost was $135 for a fifteen feet long beam. If you are looking for the price per yard, a yard has three feet, therefore in fifteen feet, there are five yards.
15 divided into 3 equals 5
$135 divided into five equals $27
I hope this helps.
point b is 8 units away for the origin
Answer:
ok
Step-by-step explanation: