Answer:
Step-by-step explanation:
50x=30x+100
The equation is 100 + 30m = 50m and the no. of months for which total cost of both the gyms will be same is 5 months.
What is a linear equation ?A linear equation is an algebraic equation in which a variable has a highest degree of 1.
According to the given question At Work-It-Out, a gym membership is $50 per month with no registration fee and At Get Fit, the registration fee is $100 and membership costs $30 per month.
Given no. of months is m.
∴ 50m = 30m + 100
50m - 30m = 100.
20m = 100
m = 5.
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Solve the equation. –3|y – 3| = 9
Answer:
y = 0
Step-by-step explanation:
-3(y-3)=9
One solution was found :
y = 0
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
-3*(y-3)-(9)=0
Step by step solution :
Step 1 :
Equation at the end of step 1 :
(0 - 3 • (y - 3)) - 9 = 0
Step 2 :
Equation at the end of step 2 :
-3y = 0
Step 3 :
Solving a Single Variable Equation :
3.1 Solve : -3y = 0
Multiply both sides of the equation by (-1) : 3y = 0
Divide both sides of the equation by 3:
y = 0
Answer:
No solution
Step-by-step explanation:
–3|y – 3| = 9
⇌ (Divide both sides by -3)
|y – 3| = -3 impossible
because |y – 3| is greater than 0 and -3 is less than 0.
The distribution of average wait times in drive-through restaurant lines in one town was approximately normal with mean \mu = 185μ=185mu, equals, 185 seconds and standard deviation \sigma = 11σ=11sigma, equals, 11 seconds. A journalist wrote an article about the restaurants whose average drive-through wait times were in the top 25\%25%25, percent for that town. What is the minimum average wait time for restaurants that the journalist included in the article?
Using the normal distribution, it is found that the minimum average wait time is of 192 seconds.
------------------
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, which is the percentile of X.In this problem:
Mean of 185 seconds, thus [tex]\mu = 185[/tex].Standard deviation of 11 seconds, thus [tex]\sigma = 11[/tex].The top 25% is at least the 100 - 25 = 75th percentile, which is X when Z has a p-value of 0.75, so X when Z = 0.675.[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]0.675 = \frac{X - 185}{11}[/tex]
[tex]X - 185 = 11(0.675)[/tex]
[tex]X = 192[/tex]
The minimum wait time is of 192 seconds.
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Bill receives a monthly stipend of $800. He also works at a bookstore making $8 an hour. He wants a monthly income of $1,200. How many hours does he need to work each month?
Answer:
150 hours
Step-by-step explanation:
Bill receives $800 as monthly stipend. But after this statement, it says Bill also works at a bookstore. So, it should mean that Bill does not receive $800 from the bookstore. He receives $800 from another job because of the word "also" which is mentioned in the second statement.
If the question is, to find out the number of hours Bill has to work each month if he assumes his monthly income to be $1,200 then 1200/8 = 150
But if the question is trying to mean that Bill receives $800 as a monthly stipend from the bookstore then this answer is wrong.
Then, we would have to calculate the difference.
$1200 - $800 = $420
Time = $420/8 = 50 hours.
Everything depends on the question. The question however needs some explanation, because this question is not written in a clear way.
factories 3t+15
factories 3a2+9a
factories a2b+ab2+ab
factories x2-25
factories 16-25×2
Answer:
(a) 3t + 15
3(t + 5)
(b) 3a² + 9a
3a(a+3)
(c) a²b + ab² + ab
ab(a +b + 1)
(d) x² - 25
x(x-25)
(e) I'm not sure about this one, sorry
4−2(x−5)=x−19? Help
Answer:
x=11
Step-by-step explanation:
Start by distributing:
4-2(x-5)= x-19
4-2x+10= x-19
Add 19 and 2x to both sides (the -19 and -2x will turn into 0)
4+10+19= 2x+x
Add 4+10+19
33= 3x
Divide by 3
x=11
pls help thus is due tmr pls help.
Answer:
4. 30m; the coefficient is 30.
Step-by-step explanation:
According to wiki, a coefficient is a multiplicative factor in some term of a polynomial, a series, or any expression; it is usually a number. For example, 4x +7 has a coefficient of 4 and a variable of 'x'. The product of 6 and 5 is thirty and the product of 30 and 'm' is 30m.
Choose the graph below that has an undefined slope. (5 points) vertical line through the point negative 6 comma 0 line through the points negative 1 comma 1 and 0 comma negative 4 horizontal line through the point 0 comma negative 6 line through the points negative 2 comma negative 3 and 0 comma 6
Answer:
vertical line through the point (-6,0)
Step-by-step explanation:
Vertical lines have an undefined slope.
Match each quadratic function with its respective graph.
f (x) = x^2 + 6x - 5
f (x) = x^2 - 4x + 5
f (x) = -x^2 - 2x +3
f (x) = x^2 + 4x - 5
f (x) = -x^2 + 2x - 3
f (x) = x^2 - 6x + 5
The quadratic functions that fits with its respective graph are.
1). f (x) = x^2 - 4x + 5
2). f (x) = -x^2 - 2x +3
3). f (x) = x^2 - 6x + 5
Here is how it looks.
The graph has been plotted to show the graphs that corresponds to the equations.
What is a Quadratic Equation?A quadratic equation is what can be written in the form of ax²+bx+c=0
The equations given are
f (x) = x² + 6x - 5
f (x) = x² - 4x + 5
f (x) = -x² - 2x +3
f (x) = x² + 4x - 5
f (x) = -x² + 2x - 3
f (x) = x² - 6x + 5
The quadratic equations are plotted to determine which graph is corresponding to which equation.
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681/4 i dont know this
The right answer is 170.25
please see the attached picture for full solution
hope it helps
Good luck on your assignment
expand 3(t-7)
expand 2t(t-3)
expand -3s(t+5)
expand (3+x) (3-x)
expand (4x-7) (4x+7)
Answer:
3t-21
2t²-6t
-3st-15s
9-x²
16x²-49
Step-by-step explanation:
In general
A(B+C)=AB+AC
(A+B)(D+C)=AD+AC+BD+BC
(A+B)(A-B)=A²+AB-BA-B²=A²-B²
ANSWER:
1) 3(t-7)
= 3t-21
2) 2t(t-3)
= 2t^2-6t
3) -3s(t+5)
= -3st-15s
4) (3+x)(3-x)
= 9-3x+3x-x^2
5) (4x-7)(4x+7)
= 16x^2 -28x+ 28x-49
I know it's Negative Correlation buy I'm so confused on b....
Basically, the question is asking you if there’s any outliers. An outlier is a data point that seems to not follow the other data points. The outlier here is at about (8, 8000). This point does not follow the negative trend of the other points.
Question in screenshot. Please help
Answer: D
Step-by-step explanation:
72/150 x 100 = 48%
The question is attached
perimeter
Answer:
62 cm
Step-by-step explanation:
48/4 = 12 so 1 side = 12
the base of the triangle therefore must also be 12 so 38 - 12 = 26
26 + 36 = 62
(2 sides of triangle + 3 sides of square)
The diagram shows a circle inscribed in a square.
12 m
12 m
What is the area of the shaded part of the diagram? (Use 3.14 as an estimate for 1.)
Answer:
A
Step-by-step explanation:
first lets find the area of the square
A=l*w
12*12=144 m^2
then lets find the are of the circle
A=pi*r^2
A=3.14*(d/2)^2
the diameter of the circle is 12m
A=3.14*(12/2)^2
A=3.14*(6)^2
A=3.14*36
A=113.04 m^2
Now, lets subtract the area of the circle form the area of the square
144-113.04= 30.96 m^2
So, the answer is A
Please help me!!! :(
Answer:
280
Step-by-step explanation:
7*5*4*2=280
The temperature in degrees Celsius, c, can be converted to degrees Fahrenheit, f, using the equation f = StartFraction 9 Over 5 EndFraction c + 32. Which statement best describes the relation (c, f)?
A. It is a function because –40°C is paired with –40°F.
B. It is a function because every Celsius temperature is associated with only one
Fahrenheit temperature.
C. It is not a function because 0°C is not paired with 0°F.
D. It is not a function because some Celsius temperatures cannot be associated with
a Fahrenheit temperature.
Answer:
B
Step-by-step explanation:
This is the answer because a function cannot have an x-value that produces more than one y-value.
The equation is in slope-intercept form (y = mx + b), where F is y and C is x.
Write an equation in slope-intercept form for the line.
slope = 0, y-intercept = 3
Answer: y = 0x+3 or y = 3
The slope is 0 and the y intercept is 3. So m = 0 and b = 3.
Plug those into y = mx+b to get y = 0x+3, and that simplifies to y = 3.
This graphs out a horizontal line that passes through the two points (0,3) and (1,3).
the perimeter of a regular seven-sided polygon is 11x - 4. If x = 8, what is the length of one side of the polygon?
Answer:
12
Step-by-step explanation:
Look at the attachment
if f(x)=x^2 and g(x)=1/2x+3 find g(f(-1))
Answer:
1/5
Step-by-step explanation:
F(x)=x^2
g(x)=1/(2x+3)
g(f(-1))=?
x=-1→f(-1)=(-1)^2→f(-1)=1
g(f(-1))=g(1)=1/[2(1)+3]=1/(2+3)→g(f(-1))=1/5
What are the values of a, b, and c in the quadratic equation –2x^2 + 4x – 3 = 0?
Answer:
a.-2
b.4
c.-3
Step-by-step explanation:
write a,b,c on top of each number to the left of the =0
Answer:
The values are: a ; (-2) b ; (4) c ; (-3)
Step-by-step explanation:
The quadratic equation is: ax^2+bx+c = 0
So, you can get your answers by using that.
Please help quickly
Answer:
Step-by-step explanation:
-0.75 + 0.4 + 0.4 - 0.75
-1.50 + 0.8
-0.70
would you rather have 1 of 8 slices from a 10" pizza or 1 of 10 slices from a 14" pizza?
Carbon-141414 is an element which loses exactly half of its mass every 573057305730 years. The mass of a sample of carbon-141414 can be modeled by a function, MMM, which depends on its age, ttt (in years). We measure that the initial mass of a sample of carbon-141414 is 741741741 grams. Write a function that models the mass of the carbon-141414 sample remaining ttt years since the initial measurement.
Answer:
The function that models the mass of the carbon-14 sample remaining t years since the initial measurement is
M(t) = 741 e⁻⁰•⁰⁰⁰¹²¹ᵗ
with M(t) in grams and t in years.
Step-by-step explanation:
Radioactive reactions always follow a first order reaction dynamic
Let the initial concentration of Carbon-14 be M₀ and the concentration at any time be M
(dM/dt) = -kM (Minus sign because it's a rate of reduction)
(dM/dt) = -kM
(dM/M) = -kdt
∫ (dM/M) = -k ∫ dt
Solving the two sides as definite integrals by integrating the left hand side from M₀ to M and the Right hand side from 0 to t.
We obtain
In (M/M₀) = -kt
(M/M₀) = e⁻ᵏᵗ
M(t) = M₀ e⁻ᵏᵗ
Although, we can obtain k from the information on half life.
For a first order reaction, the rate constant (k) and the half life (T) are related thus
T = (In2)/k
The half life is the time taken for the radioactive substance to decay to hAlf of its original amount, and according to the question, T = 5730 years
k = (In 2)/5730 = 0.000120968 /year. = 0.000121 /year
M(t) = M₀ e⁻ᵏᵗ
k = 0.000121 /year, M₀ = 741 grams
The equation then becomes
M(t) = 741 e⁻⁰•⁰⁰⁰¹²¹ᵗ
with M(t) in grams and t in years.
Hope this Helps!!!
Answer:
M(t)=741*(1/2)^t/5730
I'm so confused, can someone please help. thx
Answer:
26.25 in³, y = 15x
Step-by-step explanation:
2. Volume is multiplying the length, width, and height of a rectangular prism together.
Therefore, the volume of this rectangular prism is 6 * 1.25 * 3.5
= 26.25 in³
3. The equation that represents the function table will describe the relationship between x and y. As we can see, for every x value, the y value grows by 15. Therefore:
y = 15x
Hope this helps :)
Solve using function notation please help
Answer:
x^2+5x+5
Step-by-step explanation:
Answer:
f(x)+g(x) = x^2 + 5x+5
Step-by-step explanation:
f(x) = 4x+5
g(x) = x^2 +x
f(x)+g(x) = 4x+5+ x^2 +x
Combine like terms
f(x)+g(x) = x^2 + 5x+5
How many edges and vertices does a prism with a 50 sided end face have
plzzz help me
I will mark as brainliest
Geographers use negative numbers to represent points below sea level and positive numbers to represent points above sea level. For example, the lowest point in Minnesota is at − 17.3 meters, and the highest point is at 14.1, point, 1 meters. What does 0 meters represent?
Answer:
Step-by-step explanation:
Sea Level
Evaluate 3x for x = −2, x = 1, and x = 3. Question 18 options: A) 1∕3, 0, 9 B) 1∕9, 3, 27 C) 9, 3, 27 D) 1∕9, 9, 27
Answer:
D
Step-by-step explanation:
Took it on Ed but it might be different
Answer:
D
Step-by-step explanation:
I did the math :)
Please help as quickly as possible
Answer:
The next fraction in the sequence is:
4/27Step-by-step explanation:
How you can see, the fractions are decreasing as the sequence advance, to identify the proportion in which it decreases, we will divide the first and the second fractions:
3/4 / 1/2 = 3/2 or 1.5Now, we just need to divide all the fractions in 3/2 to identify the next fraction, as I show below:
3/4 / 3/2 = 1/2 1/2 / 3/2 = 1/3 1/3 / 3/2 = 2/9 2/9 / 3/2 = 4/27As you can see, all the results own to the sequence given, for this reason, the last result 4/27 is the correct fraction next to 2/9.
I don't know how to find the value of x in the isosceles triangle.
Answer:
x=4
Step-by-step explanation:
split the triangle into two and you will get another smaller triangle as shown in what I have drawn
so notice that there's a right angle?? this means that this is a right angle triangle and you can use Pythagoras theorem to solve it
so by Pythagoras theorem, 5^2= 3^2 + x^2
then you can solve for x