The number 30 represents that the fitness club charges members a separate monthly membership fee of $30.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables
Let f(x) represent the total fee that a person pays for x months of membership. Hence:
f(x) = 30x + 25
The number 30 represents that the fitness club charges members a separate monthly membership fee of $30.
Find out more on equation at: https://brainly.com/question/2972832
A school eacher took some student to the amusement park. 1/2 of them has 3 rides on the merry-go-round. 3/5 of the remainder had two rides and the rest of the children had one ride. If 8 students had one ride. How many students did she take to the amusement park?
Answer:
40 students
Step-by-step explanation:
Total students in the amusement park = x
Students who had 3 rides = 1/2x
Remainder = x - 1/2x
= 1/2x
Students who had two rides = 3/5 of 1/2x
= 3/5 * 1/2x
= 3/10x
Students who had one ride = 8 students
x = 1/2x + 3/10x + 8
x = (5x+3x) / 10 + 8
x = 8/10x + 8
x = 4/5x + 8
x - 4/5x = 8
(5x-4x) / 5 = 8
1/5x = 8
x = 8 ÷ 1/5
x = 8 × 5/1
x = 40 students
Total students in the amusement park = x = 40 students
9 Sam earns $54 275 in a year.
He pays no income tax on the first $8200.
He pays 18% income tax on everything he earns over $8200.
a Work out how much income tax he pays.
b Work out what percentage of his income he pays in tax.
c If the income tax rate is increased to 21%, how much more tax will Sam pay?
Answer:
See all three answers below
Step-by-step explanation:
Given data
Amount Earned= $54275
Income Tax= 18%
a Work out how much income tax he pays.
Amount of income tax
=18/100*54275
=0.18*54275
=$9769.5
b Work out what percentage of his income he pays in tax.
=9769.5/54275*100
=0.18*100
=18%
c. If the income tax rate is increased to 21%, how much more tax will Sam pay?
=21/100*54275
=0.21*54275
=$11397.75
Wait what about this one
Answer:
I believe it is 7/20
Step-by-step explanation:
Select ALL the expressions that are equivalent to -4(8x-3)
A) -20X
B) 4(3-8x)
C) -32x-12
D) 2(-16x+6)
E) 5-9(8x-3)
Answer:
dddddStep-by-step explanation:
Solve this triangle
B=?
Answer:
i hope 67° is the answer .
If two zeroes of the polynomial f(x)=x3−4x2−3x+12 are √3 and -√3 then find its third zero.
Answer:
Third zero is 4
Step-by-step explanation:
The polynomial is;
f(x) = x³ − 4x² − 3x + 12
We are given 2 zeros which are √3 and -√3.
This means that a factor of the polynomial will b; (x² - 3) because when it is equated to zero, x will be √3 and -√3.
Now, to get the other factor of the polynomial, we have to divide x³ − 4x² − 3x + 12 by (x² - 3) using long division method.
I have attached this long division method and we have the third factor as; (x - 4)
Equating to zero, we have x = 4 as the third zero of the polynomial
Find the MEDIAN of the data set. (Hint: the numbers must be in order first!) 40 76 40 63 47 57 49 55 50 53
Given:
The data set is:
40, 76, 40, 63, 47, 57, 49, 55, 50, 53
To find:
The median of the given data set.
Solution:
We have,
40, 76, 40, 63, 47, 57, 49, 55, 50, 53
Arrange the data values in ascending order.
40, 40, 47, 49, 50, 53, 55, 57, 63, 76
Here, the number of observations is 10 which is an even number. So, the median is:
[tex]Median=\dfrac{(\dfrac{n}{2})\text{th term}+(\dfrac{n}{2}+1)\text{th term}}{2}[/tex]
Putting n=10, we get
[tex]Median=\dfrac{(\dfrac{10}{2})\text{th term}+(\dfrac{10}{2}+1)\text{th term}}{2}[/tex]
[tex]Median=\dfrac{5\text{th term}+6\text{th term}}{2}[/tex]
From the arranged terms, it is clear that the the 5th term is 50 and the 6th term is 53.
[tex]Median=\dfrac{50+53}{2}[/tex]
[tex]Median=\dfrac{103}{2}[/tex]
[tex]Median=51.5[/tex]
Therefore, the median of the given data set is 51.5.
A bag contains 3 red marbles, 6 blue marbles and 8 green marbles. If three marbles are drawn out of the bag, what is the probability, to the nearest 1000th, that all three marbles drawn will be green?
Answer:
8.236%
Step-by-step explanation:
P(G,G,G) = 8/17 x 7/16 x 6/15
= 7/85 (simplified)
7/85, in decimal form, is .082352
.082352 in percent form is 8.236%
What is the range of the function f(x)=2x+4f(x)=2x+4 when the domain is {-2, 0, 3}?
A. {0, 4, 10}
B. {4.25, 5, 12}
C. {4.25, 4, 12}
D. All real numbers
I need help on this equation
What is the equation of the line that passes through the point (-4, 2) and has a slope of -5/4?
Answer:
y = -5/4 x - 3 is the slope-intercept form
5x + 4y = -12 is the standard form
Step-by-step explanation:
Use the point-slope form: [tex]y - y_{1} = m(x - x_{1})[/tex]
[tex](x_{1}, y_{1})[/tex] = (-4, 2)
y - 2 = -5/4(x + 4) Multiply by 4 to remove the fraction
4y - 8 = -5(x + 4)
4y - 8 = -5x - 20
4y = -5x - 12
y = -5/4 x - 3 is the slope-intercept form
5x + 4y = -12 is the standard form
help plzzzzzzzzzzzzzzzzzzzzzzzzzzz
Answer:
I think I just posted that last time. Check my timeline
PLSSSS HELPPP REWARD BRINLIESTT
Answer:
D
Step-by-step explanation:
Since x is years of experience and y is salary, every time x increases by 1, the salary will increase by $2035.6
Answer:
option 4
Step-by-step explanation:
Mia bicycles every day. Based on the graph, if Mia rides for 1.5 hours, how many miles does she bike?
A. 5
B. 10
C. 15
D. 20
Answer:
ITS C IT IS C!!!!!!!
Jose has a bag of 6 blue marbles, 3 white marbles, and 8 black marbles. What is the probability that he pulls a blue marble out of the bag?
What is the answer and how do you get it?
Answer:
it would D, when you simplify both expressions, they get the same result which is 1024y^6
14. Find the length of the unknown leg of the right triangle. 12.75 37.25 ?
Answer:
35
Step-by-step explanation:
We can assume the longer side is the hypotenuse because it is significantly longer than the other side.
From there, we can do Pythagoreans Theorem.
a^2+b^2=c^2
where can is the hypotenuse.
(12.75)^2+ b^2 = (37.25)^3
162.5625 + b^2 = 1,387.5625
-162.5625 -162.5625
b^2= 1,225
square root both sides.
b= 35
Complete the equation of the line through (3,-1)(3,−1)left parenthesis, 3, comma, minus, 1, right parenthesis and (4,7)(4,7)left parenthesis, 4, comma, 7, right parenthesis.
Answer: [tex]y=8x-25[/tex]
Step-by-step explanation:
Given
Line passes through [tex](3,-1)\ \text{ and}\ (4,7)[/tex]
Equation of line when it passes through two points [tex](x_1,y_1),(x_2,y_2)[/tex]
[tex]\Rightarrow \dfrac{y_2-y_1}{x_2-x_1}=\dfrac{y-y_1}{x-x_1}[/tex]
Insert the values
[tex]\Rightarrow \dfrac{7+1}{4-3}=\dfrac{y+1}{x-3}\\\\\Rightarrow \dfrac{8}{1}=\dfrac{y+1}{x-3}\\\\\Rightarrow 8x-24=y+1\\\Rightarrow y=8x-25[/tex]
Answer:
8x-25
Step-by-step explanation:
:O thats ez
The price of an item yesterday was $130. Today, the price rose to $351. Find the percentage increase.
please help and I will mark you braniest!
Answer: The percentage increase is 170%
Step-by-step explanation:
Increase= $351 - $130
Increase= 221
Percent increase = 221/ 130
Percent increase= 170%
I'm not sure if I'm right, but I hope that this helped:)
Answer:
170%
Step-by-step explanation:
130 = 100%
65 = 50%
13 = 10%
351 - 130 = 221 (doesnt count)
221 - 130 = 91
91 - 65 = 26
26 - (13 + 13) = 0
100 + 50 + 20 = 170%
Christopher the barber did 8 haircuts. One of the 8 was a walk-in. Express the amount
of walk-ins as a percent.
Tickets to a football game cost 5$ for students and 7$ for adults. write and solve a system of equations to determine the number to student tickets sold and the number of adult tickets sold at the most recent home football game if a total of 680 people purchased tickets and the ticket booth sold 3,914 worth of tickets. Does anyone know the equation? Tysm in advance tho if you help!
Answer:
x + y = 680
5x + 7y = 3914
Step-by-step explanation:
Let the amount of students who purchased tickets equal x.
Let the amount of adults who purchased tickets equal y.
If you add the amount of adults and students, you get the total amount of people:
x + y = 680
Also, to find the amount students spent on tickets, you multiply the ticket price by the amount of students to get 5x. And to find the amount adults spent on tickets, you multiply the ticket price by the amount of adults to get 7y. By adding the two amount, you get the total amount of money:
5x + 7y = 3914
These are the two equations:
x + y = 680
5x + 7y = 3914
For any number, y
Add one third of the number
Then subtract _____________ of the result.
The answer is y
Answer:
y/3
Step-by-step explanation:
According to the conditions :
y + y/3 - x = y
y + y/3 - y = x
(3y + y - 3y )/3 = x
y/3 = x
Answer:
[tex]\frac{3}{12}[/tex]
Step-by-step explanation:
Create an equation and solve for x:
[tex]y + \frac{1}{3} y = \frac{4}{3} y\\\frac{4}{3}y - x(\frac{4}{3}y) = y\\x = \frac{3}{12}[/tex]
At cracker barrel there are 15 side items to choose from. You order a variety plate that consists of 5
sides. In how many different ways can you choose your plate?
Answer:
3003
Step-by-step explanation:
It is going to be 15C5
Help Me And If ITs Right Ill Give Brainliest to you
Answer: I thınk so aswer ıs B
Step-by-step explanation:
The product of -3 and -7 is positive.
True False
Answer:
True ☑
Step-by-step explanation:
[tex] - 3 \times - 7 \\ = {}^{ + } 21[/tex]
Use the graph to write a linear function that relates Y toX
Evaluate.
9.2x10-^8
—————-
2.3x10^3
1.6.9 x 10^-11
2.4.0 x 10^-11
3.4.0 x 10^-5
4.6.9 x 10^-5
Step-by-step explanation:
[tex] \frac{9.2 \times {10}^{ - 8} }{2.3 \times {10}^{3} } \\ = 4.0 \times {10}^{ - 11} [/tex]
help please ! I don’t remember the formula on how to get the answer.
Step-by-step explanation:
b = 4`² = 1/16 = 0.0625
c = 4`⁴ = 1/256 = 0.00390625
d = (⅔)° = 1
e = (⅔)² = 4/9 = 0.4444...
f = (⅔)⁴ = 16/81 = 0.197530864
MARKING BRAINLIEST ..Please
Answer:
B
Step-by-step explanation:
Have a good day :)
Answer: I think D.
Step-by-step explanation:
An adult ticket costs £4.
A child ticket costs £3.
Hina spends £47 on cinema tickets.
She buys 8 adults tickets.
Work out how many child tickets she buys.