Answer/Step-by-step explanation:
✔️Number of Yoga classes = x
Cost ($) = y
Constant of proportionality (k) = y/x
Using the pair form the table of values given, (4, 60), find the constant of proportionality:
✅k = 60/4 = 15
Equation that represents the relationship between x and y is:
y = 15x
✔️Let's complete the table.
✅When number of yoga classes (x) = 2:
Substitute x = 2 into y = 15x
Thus,
y = 15*2 = 30
That is, 2 Yoga classes will cost $30
✅When number of yoga classes (x) = 6:
Substitute x = 6 into y = 15x
Thus,
y = 15*6 = 90
That is, 6 Yoga classes will cost $90
✅When number of yoga classes (x) = 8:
Substitute x = 8 into y = 15x
Thus,
y = 15*8 = 30
That is, 8 Yoga classes will cost $120
You've sold 101 rooms, 98 rooms, and 102 rooms over the past 3 days. You have 116 rooms available. What is your average occupancy for the past three nights?
Answer:
The average occupancy rate for the past three nights is of 86.49%.
Step-by-step explanation:
We want to find the average occupancy rate, as a percentage.
You've sold 101 rooms, 98 rooms, and 102 rooms over the past 3 days.
So the mean number of rooms sold during the past 3 days is given by:
[tex]A = \frac{101 + 98 + 102}{3} = \frac{301}{3} = 100.33[/tex]
Average rate:
[tex]R = \frac{100.33*100}{116} = 86.49[/tex]
The average occupancy rate for the past three nights is of 86.49%.
algebra help!!
Link them up together of wich one is wich.
wich one is an equasion?
wich one is an expression?
wich one is an identity?
wich one is a formula?
3x'2-2x+1
(a-b)'2=a'2-2ab+b'2
3x2-2x+1=4x-2
v=u+1
_ at'2
2
Answer:
formula
v=u+1
expression
3x'2-2x+1
A Jar contains n nickels and d dimes. There are 22 coins in the jar, and the total value of the coins is $1.55.
How many nickels and how many dimes are in the jar? (Hint: Nickels are worth $0.05 and dimes are worth
$0.10.)
There are
nickels and
dimes in the jar.
Annie and Emily are sisters. Emily’s age is 7 more than twice Annie's age, a. The sum of their ages is 45. Which equation represents this relationship?
Answer:
3x=38
Step-by-step explanation:
Given that,
Annie and Emily are sisters. Emily’s age is 7 more than twice Annie's age, a. The sum of their ages is 45.
Let Annie's age is x.
Emily's age = 7+2x
ATQ,
The sum of their ages is 45.
x+7+2x = 45
Taking like terms together,
x+2x = 45-7
3x=38
Hence, this is the relation between their ages.
1 card holds 10 stickers, 59 stickers. How many cards are needed
The ratio of boys to girls at a winter dance is 5 to 6. If there
are 90 girls, how many boys are at the dance?
Select one:
150
75
60
108
Answer:
75
Step-by-step explanation:
if there were 5 boys to 6 girls then multiply the 6 by 15 to get 90 then multiply the 5 by 15 as well and you get 75 to 90.
Answer:
108
Step-by-step explanation:
first divide 5 into 90 wich equals 18
then add to 90 which equals 108
bowling ball have a potential energy or kinetic energy as it sits at the top of a building and why
Answer:
potential because there is no force acting upon it
Step-by-step explanation:
Answer:
Potential Energy
Step-by-step explanation:
Its potential energy because its not moving if the bowling ball was doing something like rolling then it would be kinetic energy(moving energy). It is potential because it staying still. Potential energy is stored energy meaning its not moving
Complete the table of values
Answer/Step-by-step explanation:
✔️when x = 0:
[tex] 4^{-x} [/tex]
Plug in the value of x
[tex] 4^{-0} [/tex]
[tex] \frac{1}{4^0} [/tex] (negative exponent)
[tex] \frac{1}{1} [/tex] (whatever number that is raised to the power of 0 = 1)
a = 1
✔️when x = 2:
[tex] 4^{-x} [/tex]
Plug in the value of x
[tex] 4^{-2} [/tex]
[tex] \frac{1}{4^2} [/tex] (negative exponent)
[tex] b = \frac{1}{16} [/tex]
✔️when x = 4:
[tex] 4^{-x} [/tex]
Plug in the value of x
[tex] 4^{-4} [/tex]
[tex] \frac{1}{4^4} [/tex] (negative exponent)
[tex] c = \frac{1}{256} [/tex]
Rachel borrows $2,000 from her bank. At a simple interest rate of 3%, how much does she have to pay back in 5 years?
Answer:
$2060
Step-by-step explanation:
3% of 2000 = 60
2000+ 60 =2060
Answer:2300
Step-by-step explanation:
One out of three adults has worked in the restaurant industry at some point during his or her life. In an office of 90 workers, how many of these people would you expect to have worked in the restaurant industry at some point
Answer:
30
Step-by-step explanation:
1/3 of 90 is 30.
A study is run comparing HDL cholesterol levels between men who exercise regularly and those who do not. The data are shown below.
Generate a 95% confidence interval for the difference in mean HDL levels between men who exercise regularly and those who do not.
Answer:
Hello your question is incomplete attached below is the missing part of the question
Regular Exercise N Mean Std Dev
Yes 35 48.5 12.5
No 120 56.9 11.9
answer : ( -12.968, -3.832 )
Step-by-step explanation:
To generate a 95% confidence interval
first step :
Assume population variance is equal we will calculate the number of degrees of freedom
df = n1 + n2 - 2 = 35 + 120 -2 = 153
second step:
Given : critical value = 0.05 , df = 153
hence Tc = 1.976
assuming the population variance is equal calculate pooled std as ( attached below )
Sp = 12.036
third step :
calculate the standard error
Se = [tex]Sp\sqrt{\frac{1}{n1} +\frac{1}{n2} }[/tex]
n1 = 35
n2 = 120
Sp = 12.036
hence Se = 2.312
final step
Compute the 95% confidence interval = ( -12.968, -3.832 )
attached below is the detailed solution
10. What is the value of the expression
-8.5 x 4.72 ?
Answer:
-40.12
Step-by-step explanation:
1. Line k is perpendicular to the graph 4x - 3y + 14 = 0 and passes through (-3,2). Find an equation in Standard
Form whose graph is line k.
Answer:
Step-by-step explanation:
any line k perpendicular to 4x-3y=14 is
3x+4y=a
∵ it passes through (-3,2)
so 3(-3)+4(2)=a
-9+8=a
a=-1
so reqd. eq. is 3x+4y=-1
Which table represents a linear function
Answer:
The bottom right function.
Step-by-step explanation:
The bottom right function is the only function with a common ratio.
what is 8.1% of 252?
Answer:
20.412
Step by step explanation:
8.1% of 252 = 0.081 × 252 = 20.412
Use the equation W = m x g to calculate the weight of a 30 kg dog on a planet with a gravitational field strength of 3 N/kg
PLSSSSSS HELP MEE ASAP
Answer:
What's the question?
Step-by-step explanation:
Your struggling with
Can someone answer this
Answer:
Step-by-step explanation:
-11= p-9
P= 11-9
P=2
Carlos tried to find a fraction equivalent to 2/3. Below is his work. Which
statement describes Carlos' error?
2/3=2/3 x 1/4=2/12
He should have divided by 1/4.
He incorrectly multiplied 2/3 and 1/4.
It is impossible to find a fraction equivalent to 2/3.
He did not multiply 2/3 by a fraction equal to 1.
Answer:
He did not multiply 2/3 by a fraction equal to 1.
Step-by-step explanation:
For example he could have multiplied 2/3 by 4/4
= 2*4/3*4 = 8/12,
Graph the linear equation
Answer:
look at my graph
Step-by-step explanation:
solve for y for the second one by subtracting 2 by boths sides --> y > x -2
Brian is going camping and. is making a tent from fabric. How much fabric will he need? 6 ft. 12.5 ft. 8.5 ft.
Answer and explanation:
Depending on the type and size of tent you wish to make, an average tent should consume more than 12.5ft of fabric. You would require more than 10 yards of fabric to make a small tent that an adult human being can fit in.
1 yard = 3 ft
And so you would require about 30 ft of fabric to make your tent. Therefore the options listed may not be enough fabric to make a tent
John and his family went out to eat at their favorite restaurant. The bill for the food was $65.00, and
they a left an 18% tip for the server. What was the total cost of their meal (including tip).
Answer:
$76.70 is the answer.
Step-by-step explanation:
18% of 65.00 is 11.70. I added 11.70 to $65.00, and got 76.70.
Answer:
76.7
Step-by-step explanation:
65 + 18% tip= 65 times 0.18 = 11.7 65 +11.7 = 76.7
Hope this helped have a good day
Question 1: Write each of the following percentages as fractions.
If possible, simplify each answer
(a) 3%
(b) 14%
(c) 66%
(d) 10%
(e) 17%
(f) 30%
(g)50%
(h) 25%
(i) 15%
(j) 29%
(k) 16%
(l) 44%
(m) 99%
(n) 85%
(0) 52%
(p) 80%
(q) 60%
(r) 20%
(s) 5%
(t)72%
(u) 98%
(v) 2%
(w) 88%
(x) 15%
Question 2: Write each of the following percentages as fractions.
If possible, simplify each answer.
(a)111%
(b) 130%
(c) 150%
(d) 110%
(e) 125%
(f) 165%
Answer:
1. 3%=3/10
2. 14%=7/50
3. 66%=33/50
4. 10%=1/10
5. 17%=17/100
6. 30%=3/10
7. 50%=1/2
What is -7/12 + 3/8?
Answer:
oi
Step-by-step explanation:
Express 82 kilometers per hour in miles per hour?
the table shows the results when the polynomial p(x) is evaluated at x=a for different values of a.
Which mist be a factor of p(x)
x - 4
x + 7
x - 10
x + 12
Answer:
The answer is x-10
Step-by-step explanation:
Just did it
You go to the park on a windy day to fly a kite. You have released 40 feet of string. The string makes an angle of 36° with the ground. How high is the kite in the air?
Answer:
68ft
Step-by-step explanation:
Sin36=o/h = opposite / hypotenuse
x=40/Sin36
x=68
The kite in the air is 23.512 feet.
What is trigonometry ?Trigonometry is a branch of mathematics that studies relationships between the sides and angles of triangles.
Given:
String length= 40 feet
Angle of elevation = 36
Now using concept of application of Trigonometry
sin 36= P/H
0.5878= P/40
P= 23.512 feet.
Hence, the kite in the air is 23.512 feet.
Learn more about Trigonometry here:
https://brainly.com/question/14746686
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If you get paid $23 per hour, how much money will you make in 12 hours?
What is the solution to the trigonometric inequality sin(x)>cos(x) over the interval 0<=x<=2piradians?
ANSWER: C
Answer:
x > π/4Step-by-step explanation:
Given the inequality expression
sin(x)>cos(x)
Divide both sides by cos(x)
sin(x)/cos(x)>cos(x)/cos(x)
tan(x) > 1
x > tan⁻¹1
x > 45⁰
x > π/4
Hence the required solution is x > π/4
What's the absolute value of -2/8
Answer:
1/4
Step-by-step explanation:
Absolute value is the distance of a value from 0, you can think of it as a number line. So -2/8 is equal to -1/4 when simplified, and -1/4 is 1/4 away from 0 on the number line
Answer:
2/8
Step-by-step explanation:
absolute values are always positive