Hence, the commission the employee earned as a percentage of the total cost of the gym membership is [tex]16[/tex] % and the amount of the commission they get to keep is the [tex]16[/tex] % of $[tex]135[/tex] which would be [tex]21.6[/tex] $
What is the percentage?
A percentage is a number or ratio expressed as a fraction of [tex]100[/tex]. It is often denoted using the percent sign, "%".
Here given that,
For each gym membership sold, the gym keeps $[tex]42[/tex], and the employee who sold it gets $[tex]8[/tex].
(1)
Here the full price is [tex]42+8=50[/tex]
So, the commission the employee earned as a percentage of the total cost of the gym membership is
[tex]\frac{8}{50}=16[/tex] %
(2)
Here, the employee sells a family pass for $[tex]135[/tex].
So, the amount of the commission they get to keep is the [tex]16[/tex] % of $[tex]135[/tex] which would be
[tex]\frac{16}{100}[/tex] ×[tex]135=21.6[/tex] $
Hence, the commission the employee earned as a percentage of the total cost of the gym membership is [tex]16[/tex] % and the amount of the commission they get to keep is the [tex]16[/tex] % of $[tex]135[/tex] which would be [tex]21.6[/tex] $
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which expression is equivalent to (3a+7) (2a-5)?
If you want me to simplify this is the answer.... 6a^2-a-35
NEED HELP ASASPPP
A study reported that about half of high school seniors study for upcoming math tests. To find out if this applies to seniors at Garfield High School, an SRS of 30 seniors was asked if they study for their math tests. Nineteen responded "Yes.”
A dotplot is provided showing the results of 40 trials of this simulation.
A dotplot titled seniors who study for math tests have number of seniors who responded yes on the x-axis, and frequency on the y-axis. 12, 2; 13, 5; 14, 6; 15, 11; 16, 9; 17, 4; 18, 2; 9, 0; 20, 1.
Does this provide convincing evidence that seniors at Garfield High School study more than the report stated?
No, there is an outlier at 20.
No, there were outcomes as low as 12.
Yes, only one trial had a result of 19 or larger.
Yes, more than half of the simulated results are over 15.
Answer:
Yes, only one trial had a result of 19 or larger.
Step-by-step explanation:
The claim reported is that only about half of high school seniors study for upcoming math test. However, at Garfield a sizeable number of the 30 surveyed observation gave a symmetrical distribution about the study pattern of their high school seniors with only one trial a frequency of yes greater than or equal to 19
A truck is carrying cranberry juice, grape juice, and pineapple juice bottles in a ratio of
7 : 2 : 3. If there are 40 grape juice bottles, then how many juice bottles in total are there?
Answer:
140
Step-by-step explanation:
7- Cranberry
2:Grape = 40 so 40/2 = 1
3:Pineapple
1= 20 juices
7+2+3 is 12
20 x 12 is 140
Can someone please help me?
What is the reciprocal of
1 1/2?
Answer:
2/3
Step-by-step explanation:
A serving of chickpeas contains 2,150 milligrams of potassium. How many grams of
potassium is that?
A serving of chickpeas contains
grams of potassium.
Answer: 109 mg
Step-by-step explanation:
If it takes eight men ten hours to build a wall, how long would it take four men?
Answer:
20 bc if 8 men took 10 hours then 4 men would take double the time
Answer:
ha ha is it math question seriously or riddle if riddle the wall is already built by men they non time is taken by men.
The two basic kinds of rulers are______
The length of time that it takes for a ferry to reach a summer resort from the mainland is approximately normally distributed with a mean of 2 hours and a standard deviation of 12 minutes. Over many past trips, what proportion (area) of times has the ferry reaches the island in A) less than 1 hour, 45 minutes? B) more than 2 hours, 5 minutes? C) between 1 hour, 50 minutes and 2 hours, 20 minutes?
Answer:
A) 0.10565
B) 0.33846
C)
Step-by-step explanation:
The length of time that it takes for a ferry to reach a summer resort from the mainland is approximately normally distributed with a mean of 2 hours and a standard deviation of 12 minutes.
Note that, all units must be in minutes
We solve this question using z score formula
= z = (x-μ)/σ
where
x is the raw score
μ is the population mean = 2 hours
Converting to minutes
1 hour = 60 minutes
2 hour = x
Cross Multiply
x = 2 × 60 minutes
x = 120 minutes
Mean = 120 minutes
σ is the population standard deviation = 12 minutes
Over many past trips, what proportion (area) of times has the ferry reaches the island in
A) less than 1 hour, 45 minutes?
Converting 1 hour 45 minutes to minutes
60 minutes = 1 hour
Hence:
60 + 45 minutes = 105 minutes
For x < 105 minutes
= 105 - 120/12
= -1.25
Probability value from Z-Table:
P(x<105) = 0.10565
B) more than 2 hours, 5 minutes?
Converting 2 hours 5 minutes to minutes
Hence:
1 hour = 60 minutes
2 hour = x
Cross Multiply
x = 2 × 60 minutes
x = 120 minutes
Hence:
120 + 5 minutes = 125 minutes
For x < 125 minutes
z = 125 - 120/12
z = 0.41667
Probability value from Z-Table:
P(x<125) = 0.66154
P(x>125) = 1 - P(x<125) = 0.33846
C) between 1 hour, 50 minutes and 2 hours, 20 minutes?
Converting 1 hour, 50 minutes to minutes
= 60 minutes = 1 hour
Hence:
60 + 50 minutes = 110 minutes
For x = 110 minutes
= 110 - 120/12
= -0.83333
Probability value from Z-Table:
P(x = 110) = 0.20233
Converting 2 hours, 20 minutes to minutes
= 1 hour = 60 minutes
2 hour = x
Cross Multiply
x = 2 × 60 minutes
x = 120 minutes
Hence:
120 + 20 minutes = 140 minutes
For x = 140minutes
z = 140 - 120/12
= 1.66667
Probability value from Z-Table:
P(x = 140) = 0.95221
PLS HELP ASAP
Use a graph to solve the following
243=3^x+^3
Answer:
They all have equal bases.
Since the bases are the same, then two expressions are only equal if the exponents are also equal.
x=5
hope this helps !!:)
Step-by-step explanation:
The four sides of a garden measure 8 1/3 feet, 17 1/4 feet, 17 1/2 feet, and 11 3/4 feet. Find the length (in ft) of the fence needed to enclose the garden. (Enter your answer as a simplified mixed number.)
Given :
The four sides of a garden measure 8 1/3 feet, 17 1/4 feet, 17 1/2 feet, and
11 3/4 feet.
To Find :
The length (in ft) of the fence needed to enclose the garden.
Solution :
First simplifying the given mixed numbers :
8 1/3 = 25/3 feet
17 1/4 = 69/4 feet
17 1/2 = 35/2 feet
11 3/4 = 47/4 feet
Now, length of fence needed to enclose the garden is :
[tex]L = \dfrac{25}{3}+ \dfrac{69}{4}+ \dfrac{35}{2}+ \dfrac{47}{4}\\\\L = \dfrac{(25\times 4)+ ( 69\times 3) + ( 35\times 6) + (47 \times 3 )}{12}\\\\L = \dfrac{658}{12}\ feet[/tex]
Hence, this is the required solution.
Which of these expressions is equivalent to 2 (2x+1)
a) 2 2x +2
b) 2 2x x 2
c ) 2 2x +1
d)2 2x x 1
Helpppp pllzzz & thx
In circle B, find x if m A = 3x + 9 and m B = 8x – 4.
The value of x is 11.
Central Angle Theorem :It states that the central angle from two chosen points A and B on the circle is always twice the inscribed angle from those two points.
From given figure, [tex]A=3x+9,B=8x-4[/tex]
[tex]\angle B=2\angle A\\\\8x-4=2(3x+9)\\\\8x-4=6x+18\\\\8x-6x=18+4\\\\2x=22\\\\x=22/2=11[/tex]
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The diameter of a cylindrical water tank is 10ft and its height is 11 ft what's the volume of the tank used value 3.14and round to the nearest whole number
Answer:
863.5 ft³
Step-by-step explanation:
Given that :
Diameter, d = 10 ft
Height, h = 11 feets
Radius of tank, r = d/ 2 = 10ft / 2 = 5 ft
The volume of a cylinder is calculated using the relation :
Volume = πr²h
Volume = 3.14 * 5^2 * 11
Volume = 3.14 * 25 * 11
Volume = 863.5ft³
Austin swam 1.4 laps each minute. Ashley is Austin's older sister. She trains in the same pool and can swim 9 laps in 6 minutes. Is Ashley a faster swimmer than Austin? Question - how can you use the unit rate in minutes per lap to compare Ashley's speed to Austin?
Answer: Asley is faster than Austin.
Step-by-step explanation:
Given: Austin swam 1.4 laps each minute.
Asley's sister can swim 9 laps in 6 minutes.
i.e. the number of laps she can swim in each minute = [tex]\dfrac96 = 1.5[/tex]
1.5 > 1.4, i.e. Asley swim more laps than Austin in a minute.
Hence, Asley is faster than Austin.
In mintues per lap, speed of Austin = [tex]\dfrac1{1.4}=0.71\text{ minute per lap}[/tex]
Speed of Ashley = [tex]\dfrac{6}{9}=0.67\text{ minute per lap}[/tex]
Ashley took lesser time then austin per lap.
Hence, Ashley is faster than Austin.
The perimeter of a rectangular lot of land is 448 A. This includes an easement of x feet of uniform width Inside the lot on which no building can be done . If the buildable area is 140 ft by 64 determine the width of the easement.
Answer:
[tex]5\ \text{ft}[/tex]
Step-by-step explanation:
Perimeter of rectangular lot = [tex]448\ \text{ft}[/tex]
The width of the easement is [tex]x\ \text{ft}[/tex]
Buildable area 140 ft by 64 ft
[tex]2(140+2x)+2(64+2x)=448\\\Rightarrow 140+2x+64+2x=\dfrac{448}{2}\\\Rightarrow 204+4x=224\\\Rightarrow x=\dfrac{224-204}{4}\\\Rightarrow x=5\ \text{ft}[/tex]
The width of the easement is [tex]5\ \text{ft}[/tex].
Num. 3 What is the name of the ray shown?
Answer:
I believe the answer is C
Step-by-step explanation:
Because lines with arrows at the end means the line is continuing. Let me know if this is right . I hope I helped! :)
Answer:
the answer to this question is (C)
Step-by-step explanation:
Copy the expressions which are polynomials. Give reasons why the remaining are
not polynomials.
a)3x-2
b)p^2+1/p
c3y^2-2y/3+1
Answer: a and c are polynomials, b is not.
Step-by-step explanation:
A polynomial p(x) is written as:
p(x) = aₙ*xⁿ + ... + a₂*x² + a₁*x¹ + a₀*x⁰
where x is the variable, and the numbers aₙ, aₙ₋₁, ..., a₁, a₀ are the coefficients of the polynomial, such that aₙ is the leading coefficient, and the value of n (always a natural number) is the degree of the polynomial.
Notice that the powers need to be always natural numbers.
Now, let's analyze the options:
a) 3*x - 2
We can rewrite this as:
3*x¹ - 2*x⁰
Then this is a polynomial.
b) p² + 1/p (in this case the variable is p)
the second term can be written as:
1/p = p⁻¹
Then we have a term with a negative power of p, this means that this is not a polynomial.
c) 3*y² - 2*y/3 + 1
Same as in the first case, we can rewrite this as:
3*y² - (2/3)*y¹ + 1*y⁰
This is a polynomial.
These are from the same question
Answer:
a. 25%
b. 6.5%
c. 20%
Step-by-step explanation:
HALP! WORD PROBLEM 20 points: A store has reduced the price by $20. How large must the next discount be so the new price will be half of the original price? Express your answer as a percent to the nearest tenth.
Answer:
HALP word is wrong all word is but HALP is wrong.
plz help, I need help
Answer:
Answer is A
Step-by-step explanation:
because 2 × $11.50 is for adult tickets
$8 × 4 is for childrens tickets
and the equation would represent the total cost
Jan 15, 8:40:40 AM
Determine if the following system of equations has no solutions, infinitely many
solutions or exactly one solution.
-6x + 5y = 7
30x – 25y = -35
One Solution
Infinitely Many Solutions
Submit Answer
O No Solutions
Help me please find the slope and y-intercept
Answer:
Slope is 2.15
y-intercept is 2
Step-by-step explanation:
We need to find slope and y-intercept of the graph given.
The formula used to find slope is: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
Looking at the graph, we can find 2 points
Point 1 : (0,-2)
Point (2): (2,-2.3)
Now putting values and finding slope:
We have: [tex]x_1=0, y_1=-2, x_2=2, y_2=-2.3[/tex]
[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{2.3-(-2)}{2-0}\\ Slope=\frac{2.3+2}{2}\\ Slope=\frac{4.3}{2}\\Slope=2.15[/tex]
So, we get slope = 2.15
Now, finding y-intercept
y-intercept can be found if we put x =0
Looking at the graph, when x =0, y = 2
So, y-intercept is 2
Please help!! 20 points!!! I don’t know if is d....
Help now or your mom give u wedgie
Investors buy a studio apartment for $140,000. Of this amount, they have a down payment of $14,000. Their down payment is what percent of the purchase price? What percent of the purchase price would a $56,000 down payment be?
What time is shown on this clock
Answer: around i believe 10:35
Step-by-step explanation:
Answer:
its 10:20
Step-by-step explanation:
Do y'all know which one it is if so tell me and plz explain why.
its equal to because if you do +50-50 and keep going it will always go back to 0. Hope this helps! :D
Answer:
C or Equal To
Step-by-step explanation:
The input was 0 at first
50 - 50 is 0
Hope this Helps
▼・ᴥ・▼
What is the volume of a cylinder with a diameter of 12 m and a height of
27 m. Remember, d=2r.
Answer:
3053.63m³
Step-by-step explanation:
use a calculator, not brainly
the diagram shows an isosceles triangle. the area of the triangle is 12cm squared. workout of the perimeter of the triangle
Answer: X= 2.4cm
Step-by-step explanation:
Take half the triangles base which is 2.5 CM
draw a line up through the middle, and get half the area which would be 6cm^2
now divide 6cm by 2.5 and get 2.4 Cm
So x=2.4 CM
The Perimeter of the isosceles triangle is 15.8 cm
Let h represent the height of the triangle. Using Pythagoras theorem:
x² = h² + 2.5²
h² = x² - 6.25
h = √(x² - 6.25)
The area of the triangle is 12 cm², hence:
12 = (1/2) * 5 * √(x² - 6.25)
√(x² - 6.25) = 4.8
x = 5.41 cm
Perimeter of triangle = 5 cm + 5.41 cm + 5.41 cm = 15.8 cm
The Perimeter of the isosceles triangle is 15.8 cm
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?????????????????????????????
Answer:
92°=180°/y° I think this is correct
Peter's recipe for lemonade makes 48 cups of the drink. Which equation can be used
to find how many gallons of lemonade Peter's recipe makes?
Answer:
c i think
Step-by-step explanation:
The equation can be used to find how many gallons of lemonade Peter's recipe makes is 48 C/ 1 x 1 pt / 2C x 1 qt / 2 pt x 1 gal / 4 qt = 3 gal.
What is Unit Conversion?The same attribute is expressed using a unit conversion, but in a different unit of measurement. For instance, time can be expressed in minutes rather than hours, and distance can be expressed in kilometres, feet, or any other measurement unit instead of miles.
Given:
1 Cups = 0.0625 Galloon.
Peter make 48 cups of drink.
So, 48 C/ 1 x 1 pt / 2C x 1 qt / 2 pt x 1 gal / 4 qt
= 24 pt x 1 qt / 2 pt x 1 gal / 4 qt
= 3 gal
Hence, 48 cups of the drink.
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