Answer:
The slope is 50, which is the cost per month of the gym membership, and 79.50 is the y intercept. It represents the initial cost to join the gym.
Step-by-step explanation:
C(m)= 50m + 79.50,
This is written in the form y= mx+b where m is the slope and b is the y intercept.
The slope is 50, which is the cost per month of the gym membership, and 79.50 is the y intercept. It represents the initial cost to join the gym.
The slope of the function represents the cost of each additional month of membership, while the y-intercept represents the initial cost of joining the gym.
Explanation:The slope of the function C(m) = 50m + 79.50 represents the cost of each additional month of gym membership. In this case, the slope is 50, meaning that for every additional month of membership, the cost increases by $50.
The y-intercept of the function, which is 79.50, represents the initial cost of joining the gym. This can be considered as the one-time fee or the cost for 0 months of membership.
Learn more about Slope and y-intercept of a function with respect to cost here:https://brainly.com/question/16744918
#SPJ11
If rectangle ABCD is dilated by a scale factor of 1.5 with a center of dilation at vertex A, how does the area of A'B'C'D' compare with the area of ABCD?
Answer:
A’/A = 2.25
Step-by-step explanation:
Let the length and width of ABCD be l and w respectively.
A = lw
=====
For rectangle A’B’C’D’
l’ = 1.5l and w’ = 1.5w
A’ = l’w’
A’ = 1.5l × 1.5 w
A’ = 2.25 lw
=====
A’/A = 2.25lw/(lw) Cancel lw
A’/A = 2.25
The area of the dilated rectangle is 2.25 times that of the original.
Answer:
The answer is "D"
Step-by-step explanation:
The difference between 8 less than q?
The Difference between expressions '8 less than q' and 'ans' is q - ans - 8.
The phrase '8 less than q' can be expressed as q - 8.
To find the difference between q - 8 and the answer 'ans', you subtract the two expressions: (q - 8) - ans.
This simplifies to q - 8 - ans, or q - ans - 8.
For example, if q = 15 and ans = 5, the difference would be 15 - 5 - 8, which equals 2.
So the difference between '8 less than q' and 'ans' is q - ans - 8.
Learn more about Difference between expressions here:
https://brainly.com/question/10960257
#SPJ3
The probable question may be:
What is the difference between 8 less than q?
Jerry charges $15 for each lawn that he cuts. Depending homework and chores, he has time to cut at most 10 lawns a week. Jerry has determine his fixed cost to be $10 a week and that his profit for a week can be modeled by the function y = 15x − 10. Which BEST describes the domain for this function? A) number of yards Jerry cuts; x ≥ 0 B) number of yards Jerry cuts; x ≤ 10 C) number of yards Jerry cuts; x ≥ 10 D) number of yards Jerry cuts; 0 ≤ x ≤ 10
Answer: D) Number of yards Jerry cuts; 0 ≤ x ≤ 10
Step-by-step explanation:
Here the given function that describes the total profit,
y = 15 x - 10
Where x represents the number of lawns Jerry cut in a week.
But, Depending homework and chores, he has time to cut at most 10 lawns a week.
Thus, x ≤ 10
Also, the number of lawns can not be negative.
Therefore, x ≥ 0
And, the value of x will decide the domain of the function y,
Thus, the domain of the given function is,
0 ≤ x ≤ 10
⇒ Option D is correct.
Answer:
d
Step-by-step explanation:
In the figure below , a cone is cut by a plane that passes through its vertex and it’s vertex and is perpendicular to its base. The height of the cone is 10 inches, and it’s diameter is 6 inches. What is the area of the cross section formed by the intersection
Answer:
The area of cross-section is [tex]30inch^2[/tex]
Step-by-step explanation:
we are given that
a cone is cut by a plane that passes through its vertex and it’s vertex and is perpendicular to its base
So, cross -section will be right angled triangle
whose base will be along diameter of cone
so, base of triangle = diameter of cone =6 inch
base =6 inch
Height of triangle will be same as height of cone
so, height of triangle =10inch
now, we can find area
[tex]Area=\frac{1}{2}\times 6\times 10[/tex]
[tex]Area=30inch^2[/tex]
The area of the cross-section formed by the intersection is 9π square inches.
How to determine the areaWhen a cone is cut by a plane passing through its vertex and perpendicular to its base, the resulting intersection is a triangle similar to the base of the cone.
Such that;
Height of the cone = 10 inchesRadius= diameter / 2 = 6 / 2 = 3 inches)Using the properties of similar triangles, the triangle formed by the intersection is similar to the base of the cone.
The area of the cross-section formed by the intersection is the area of a circle with radius 3 inches:
Area = πr²
Area = π × 3²
Area = π × 9
Area = 9π square inches
Learn about area at: https://brainly.com/question/25292087
#SPJ3
I need help with -5 -3w = 7w please!
Answer: W= 0.5
Step-by-step explanation:
You add 3w to both sides to get -5= 10w and then you divide everything by 10 to get w= 0.5
-5 - 3w = 7w
-5 - 3w+3w = 7w+3w <<--- add 3w to both sides
-5 + 0w = 10w
-5+0 = 10w
-5 = 10w
10w = -5
10w/10 = -5/10 <<--- divide both sides by 10 to isolate w
w = -5/10
w = -1/2 <<--- reduce; this is the answer in fraction form
w = -0.5 <<--- this is the answer in decimal form
Sin (19pi/6)=_____ help please !!!
Answer:
sin(19pi/6)=-1/2
Step-by-step explanation:
A third-grade gym class has 54 students. The gym teacher divides them into 9 groups. She then divides each group into 2 teams. How many students are on each team?
Answer:3
Step-by-step explanation: the reason why it's 3 is because 54 divided by 9 is 6 and 6 divided by 2 is 3
Y= -2x-9 in standard form
standard form for a linear equation means
• all coefficients must be integers, no fractions
• only the constant on the right-hand-side
• all variables on the left-hand-side, sorted
• "x" must not have a negative coefficient
2x + y = -9.
y= -2x-9 is in standard form itself with slope m = -2 and y intercept c as -9.
What is a linear equation?
It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
Let, consider the equation of y = mx+c,
where, m is the slope of line and c is the y - intercepts. So to draw the graph firstly we find the two points to connect the line in which first is y-intercepts by putting x=0 in the given equation.
standard form of linear equation is :
y = mx+c
comparing it with given equation :
y= -2x-9.
m = -2, c = -9
Therefore, y= -2x-9 is in standard form itself with slope m = -2 and y intercept c as -9.
check and know more about equation of line here :
https://brainly.com/question/21511618
#SPJ2
At a school for performance art students 25 of the girls study music, 35 of the girls study dance, and 16 of the girls study music and dance. What fraction of those who study music also study dance?
PLEASE HELP ASAP 50 POINTS! What correctly identifies the property shown?
(−4.3)+5.4=5.4+(−4.3)
A. Associative property
B. Commutative property
C. Opposite of a sum property
Answer:
Commutative property
Step-by-step explanation:
Hope that helps!
in class,12 students like to play vollyboll. if 30% of the students in the class like to play volleyball,how many students are in the class?
Answer:
Hope this helps! If you have any questions feel free to ask.
Step-by-step explanation:
To find the total number of students in the class, you can use the given information of the percentage and the number of students who like to play volleyball.
Explanation:To find the total number of students in the class, we can use the information given. It is stated that 30% of the students in the class like to play volleyball, and there are 12 students who like to play volleyball. Let's assume the total number of students in the class is x.
So, we can set up the equation 0.30x = 12 to represent the percentage of students who like to play volleyball. Solving this equation, we get x = 12 / 0.30 = 40. Therefore, there are 40 students in the class.
Learn more about Finding the total number of students in a class here:https://brainly.com/question/10721720
#SPJ2
A garden is 6 yards 24 inches wide and 6 yards long. Write the ratio of the width to the length as a fraction in simplest form.
Answer: 10/9
Step-by-step explanation:
On the width:
6 yards = 18 feet
24 inches = another 2 feet
Total width = 20 feet
On the length:
6 yards = 18 feet
Ratio of width to length = (20 feet) / (18 feet) = 10/9
The actual width of the garden is 72 inches, which is equivalent to 2 yards
To determine the actual width of the flower garden, we need to use the given scale of 1:12. This means that 1 inch on the plan represents 12 inches in reality. Given that the flower garden is 6 inches wide on the plan, we set up a proportion to find the actual width.
The proportion is:
1 inch on plan : 12 inches in reality = 6 inches on plan : x inches in reality
So we calculate:
(1 inch / 12 inches) = (6 inches / x inches)
Now we solve for x:
1/12 = 6/x
x = 6 * 12
x = 72 inches
Therefore, the actual width of the garden is 72 inches, which can be converted into yards by knowing that 1 yard equals 36 inches. Thus, 72 inches is equivalent to 2 yards (since 72 / 36 = 2).
Please help with this!!!
Answer:
z = 123.9
Step-by-step explanation:
We can use trigonometric functions, because we have a right triangle. We now the adjacent and opposite side of the angle we are interested in, so we can use the tan function.
tan 20 = opposite/ adjacent
tan 20 = 45.1/z
Multiply each side by z
z* tan 20 = 45.1 /z * z
z * tan 20 =45.1
Divide each side by tan 20
z = 45.1 / tan 20
z=123.9112316
To one decimal place,
z = 123.9
A moving walkway at an airport moves at a pace of 1.75 feet per second. If you stand on the walkway as it moves, how long will it take to transport you 280 feet? CLEAR CHECK 160 seconds 278.25 seconds 490 seconds 625 seconds
Answer:
160 Seconds
Step-by-step explanation:
acceleration * seconds = distance
1.75 * (x) = 280
1.75x=280
x= 280/1.75
x= 160
In the given case, It will take 160 seconds to transport you 280 feet on the moving walkway.
To determine how long it will take to transport you 280 feet on a moving walkway, we can use the formula:
This formula is particularly useful in various scenarios, such as calculating travel time for a journey, determining how long it will take for an object to reach a certain location, or estimating the time it will take for a process to complete at a given speed.
Time = Distance / Speed
Plugging in the given values, we have:
Time = 280 feet / 1.75 feet per second = 160 seconds
Therefore, the correct answer is 160 seconds.
Learn more about Time calculation here:
https://brainly.com/question/30895034
#SPJ3
In the decimal number 0.675, the 7 holds what place value? A. Thousandths B. Ten thousandths C. Hundredths D. Tenths
Answer:
C. Hundredths
Step-by-step explanation:
. tenths hundredths thousandths ten thousandths
. 6 7 5 0
Which fraction is halfway between 3/7 and 10/21
A.) 7/15
B.) 19/42
C.) 15/42
D.) 4/9
Answer:
B) 19/42
Step-by-step explanation:
To find the fraction halfway between 3/7 and 10/21 we first find the difference between the fractions, half it, and then add it back on to the smaller one.
Because 10/21 > 3/7 we subtract in that order
[tex]\frac{10}{21} - \frac{3}{7} = \frac{10}{21} - \frac{9}{21} = \frac{1}{21}[/tex]
Half of 1/21 is 1/42 and so the fraction halfway between 3/7 and 10/21 is
[tex]\frac{3}{7} + \frac{1}{42} = \frac{18}{42} + \frac{1}{42} = \frac{19}{42}[/tex]
is 3x + 2x = 3 a function
The given equation is a function. After simplifying, it takes the form y = 3/5x, a simple linear equation. Understanding the behavior of even and odd functions is useful in comprehending this.
Explanation:The given expression, 3x + 2x = 3, needs to be first simplified before determining whether it is a function or not. The simplified expression is 5x = 3, which can be rearranged to the function form y = 3/5x. This is a simple linear equation, indicating a function. In general, an even function times an even function produces an even function, but an odd function times an even function gives an odd function. You can see this in the equations mentioned: x² e-x², x sin x, and xe-x².
Learn more about Mathematical Functions here:https://brainly.com/question/30594198
#SPJ12
Clara has $67 in her piggy bank. She spent x dollars on a dog bowl and now has $57.4 remains.
A) 67+x=57.4
B) 57.4+x=67
C) x/67=57.4
D) x-57.4=67
Answer:
B) 57.4+x=67
Step-by-step explanation:
We take the amount in the piggy bank. Then we take the amount spent and add it to the amount she has left. These two amounts should be equal
piggy bank = spent + left
67 = x + 57.40
A construction worker estimates that a kitchen remodel will take 1 person 120 hours. If 4 people work on the job for 6 hours a day, how many days will it take for them to complete the job?
it would take five days for them to complete their job if you want an explanation just ask
It will take 5 days for the 4 people working 6 hours a day to complete the kitchen remodel.
Let's calculate the total work hours required to complete the kitchen remodel and then determine how many days it will take for the 4 people working 6 hours a day to finish the job.
The estimated total work hours for one person to complete the remodel is 120 hours.
Total work hours required = 120 hours
Now, we have 4 people working on the job, and each person works 6 hours a day.
Total work hours per day with 4 people = 4 people * 6 hours/person = 24 hours
To find the number of days it will take to complete the job, we divide the total work hours required by the total work hours per day with 4 people:
Number of days = Total work hours required / Total work hours per day with 4 people
Number of days = 120 hours / 24 hours/day
Number of days = 5 days
It will take 5 days for the 4 people working 6 hours a day to complete the kitchen remodel.
To know more about days click here :
https://brainly.com/question/16034524
#SPJ2
a painter uses 4 gallons of paint to paint each apartment in a building. if the painter has 45 gallons of paint, how many apartments can be painted completely? how much paint will be left over?
Final answer:
The painter can completely paint 11 apartments with 45 gallons of paint and will have 1 gallon of paint left over.
Explanation:
A painter uses 4 gallons of paint for each apartment. With 45 gallons of paint, you would first divide the total gallons of paint by the gallons needed per apartment to determine how many apartments can be painted completely. Since 45 gallons ÷ 4 gallons per apartment equals 11.25, the painter can only completely paint 11 apartments, because you can't partially paint an apartment. The fractional part, .25, represents the leftover paint. To find out how much paint is remaining, you would then multiply the fractional part by the amount of paint used for one apartment, which is 4 gallons. So, 0.25 × 4 gallons equals 1 gallon. Therefore, the painter will have 1 gallon of paint left over after painting 11 apartments.
Use division instead of the images to divide 18 by 4. What is the quotient of the division? What is the remainder?
When 18 is divided by 4, the quotient is 4 and the remainder is 2.
Explanation:The division of 18 by 4, can be performed using long division or mental math. First, understand that 'dividend' is the number being divided (18), 'divisor' is what you divide by (4), 'quotient' is the result of the division and 'remainder' is what is left over.
Step 1: Divide 18 by 4. 4 fits into 18 four times (4 x 4 = 16).
Step 2: Subtract the 16 from 18 to find the remainder. 18 - 16 equals 2.
So, the quotient of 18 divided by 4 is 4 and the remainder is 2.
Learn more about Division here:https://brainly.com/question/2273245
#SPJ3
Working together, it takes two different sized hoses 20 minutes to fill a small swimming pool. If it takes 30 minutes for the larger hose to fill the swimming pool by itself, how long will it take the smaller hose to fill the pool on its own? Do not do any rounding.
Answer:
60 minutes for the larger hose to fill the swimming pool by itself
Step-by-step explanation:
It is given that,
Working together, it takes two different sized hoses 20 minutes to fill a small swimming pool.
takes 30 minutes for the larger hose to fill the swimming pool by itself
Let x be the efficiency to fill the swimming pool by larger hose
and y be the efficiency to fill the swimming pool by larger hose
To find LCM of 20 and 30
LCM (20, 30) = 60
To find the efficiency
Let x be the efficiency to fill the swimming pool by larger hose
and y be the efficiency to fill the swimming pool by larger hose
x = 60/30 =2
x + y = 60 /20 = 3
Therefore efficiency of y = (x + y) - x =3 - 2 = 1
so, time taken to fill the swimming pool by small hose = 60/1 = 60 minutes
i am a fraction greater than 1/2 and less than 6/8
Answer:
5/8
Step-by-step explanation:
it is 5/8 because if it is greater than1/2, which =to 4/8, and less than 6/8, it must be the number in between, which is 5/8
p=2L+2W find p if L=10 and W=5
Answer:
30
Step-by-step explanation:
When l = 10, and w = 5
Plug in 5 for "w" and 10 for "l" inside the equation.
p = 2(10) + 2(5)
Solve for the variable "p". Simplify the equation. Remember to follow PEMDAS. First, solve the multiplication
p = 20 + 10
Next, add.
p = 30
30 is your answer for p in this problem
~
A line passes through the point (2, -4) and has a slop of 0 what is the equation of the line. A.)y=2, B.) x=2, C.)y=-4 or D.)x=-2
Find the value x that makes ABCD a parallelogram
Answer:
D.) 6
Step-by-step explanation:
A parallelogram needs supplementary consecutive sides. To make 150 supplementary, it needs to add 30 to make 180 degerees.
5 * 6 = 30.
Therefore, the value of [tex]x=6[/tex] degree i.e., option (D) is correct answer.
What is the parallelogram?
A parallelogram is a simple (non- self-intersecting) quadrilateral with two pairs of parallel sides.
The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure.
A parallelogram needs supplementary consecutive sides.
So, to make the supplementary angle i.e., [tex]150[/tex] degree .It requires to add [tex]30[/tex] to make [tex]180[/tex] degree.
[tex]x=6\\5(6)=30[/tex]
Hence, the value of [tex]x=6[/tex] degree i.e., option (D) is correct answer.
To know more about the parallelogram
https://brainly.com/question/28854514
#SPJ2
24 is 4/5% of what number
Answer:
The number is 3000
Step-by-step explanation:
Is means equals
24 = 4/5 % *n
Lets change the percent to a decimal. To change percent, we move the decimal to places to the left.
4/5= .8
4/5 % = .8% = .008
24 = .008 *n
Divide each side by .008
24/.008 = .008n/.008
3000 = n
Rod smokes 1 1/2 packs of cigarettes per day. Rod buys cigarettes by the carton. There are ten packs of cigarettes in each carton. If Rod pays $35.80 per carton, how much does it cost him for each day of smoking?
Answer:
It costs Rod $5.37 per day to smoke.
Step-by-step explanation:
If a carton costs 35.80 and there are 10 packs per carton
$35.80 /10 = 3.58 per pack
Rod smokes 1.5 packs per day
1.5 * 3.58 = $5.37
It costs Rod $5.37 per day to smoke.
What is the domain and range for the following function and its inverse? f(x) = -x + 5
Answer:
Domain: [tex]\mathbb{R}[/tex]
Inverse: [tex]f^{-1}(x) = -x + 5[/tex]
Step-by-step explanation:
Since this is a linear function, the domain and range is simply the set of real numbers.
The inverse is obtain by switching the places of x and y, then solving for y.
Here,
y = -x + 5
So switching x and y,
x = -y + 5
Solving for y again,
y = -x + 5
Thus,
[tex]f^{-1}(x) = -x + 5[/tex]
Answer:
The domain of linear function is always the set of all real numbers
Range is also the set of all real numbers
[tex]f^{-1}=-x+5[/tex]
Step-by-step explanation:
[tex]f(x) = -x + 5[/tex]
Domain is the set of x value and range is the set of y value. There is no restriction for x and y in a linear function.
The domain of linear function is always the set of all real numbers
Range is also the set of all real numbers
Now find the inverse
[tex]f(x) = -x + 5[/tex]
Replace f(x) with y
[tex]y = -x + 5[/tex]
Replace x with y and y with x
[tex]x = -y + 5[/tex]
Subtract 5 from both sides
[tex]x-5=-y[/tex]
Divide both sides by -1
[tex]y=-x+5[/tex]
Replace y by f^-1
[tex]f^{-1}=-x+5[/tex]
An album contains x black-and-white photographs and y color photo graphs. If the album contains 24 photographs which of the following cannot be true?
A.x=2y
B.x=3y
C.x=4y
D.x=5y