Given that:
Membership feet to play indoor soccer at the Sun Oaks Club = $100
Hourly rate = $10
To find:
The function f represents the cost of playing soccer at Sun Oaks.
Here, fixed cost is $100.
Let the number of hours of playing be t. So, total variable cost is $10t.
Total cost = Fixed cost + Variable cost
[tex]f(t)=100+10t[/tex]
So, the required function is [tex]f(t)=100+10t[/tex].
Now, if the hourly rate were halved. Then,
Hourly rate [tex]= \$ \dfrac{10}{2} = \$ 5 [/tex]
So, total variable cost is $5t and total cost function is
[tex]g(t)=100+5t[/tex]
So, the required function is [tex]g(t)=100+5t[/tex].
Find the parabola through
(
−
7
,
−
39
)
(
-
7
,
-
39
)
with vertex
(
−
4
,
−
12
)
Answer:
y = - 3x² - 24x - 60
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) = (- 4, - 12 ), thus
y = a(x + 4)² - 12
To calculate a substitute (- 7, - 39) into the equation
- 39 = a(- 7 + 4)² - 12 ( add 12 to both sides )
- 27 = 9a ( divide both sides by 9 )
- 3 = a
y = - 3(x + 4)² - 12 ← in vertex form
Expand (x + 4)²
y = - 3(x² + 8x + 16) - 12
= - 3x² - 24x - 48 - 12
y = - 3x² - 24x - 60 ← in standard form
= - 3(x²
I need help please 4x-6y=36 how to show my work please help it would mean a lot :)
Answer:
Solving for x:
[tex]x = \frac{3}{2} y + 9[/tex]
Solving for y:
[tex]y = \frac{2}{3} x - 6[/tex]
Step-by-step explanation:
Please see the attached picture for full solution.
solve 20x5y=15 for y
Answer:
Step-by-step explanation:
K ( -3, 7 ), and L ( 8, 7 what is the slope?
HELP ME
A 6-foot tall man has a 9-foot shadow. At the same time, a tree he is standing next to has a 30-foot shadow.
A. 20 ft
B. 27 ft
C. 45 ft
D. 21 ft
E. 24 ft
Answer:
A.20 ft
Step-by-step explanation:
the shadow is double the height of the object.
practice/t5a5554218e050007ec4146/class/585909a8b011100008b3201a/uta/5f5bd0affle7ee00086710di/gid/0 Homework BOOKMARK O PLAY 1 Simplify (do not evaluate) each expression using the exponent rules from today's. Show your answer as a single base and exponent. 82 x 87 =
Do you know who Creati is? He deleted all of my progress and a bunch of other peoples, so I'm trying to get a lot of points and start a protest.
500g:3kg.Give answer in lowest term
Answer:
Step-by-step explanation:
First, you have to convert the units, since kilograms and grams aren't the same unit. 1000 grams=1 kilogram. Keep that in mind, and lets move on.
So, that means 3 kilograms=3,000 grams. Let's rewrite our ratio.
500g:3,000g
So now they're the same units, but it isn't simplified. This last parts easy. To simplify a ratio, find the number you can divided both number with. In this situation, that number is 500. 500 divided by 500= 1, and 3,000 divided by 500= 6.
Final Simplified Ratio: 1g:6g
Hope this helped :)
In the equation y=mx +b what si b
Answer:
B is the y-intercept. Where you start your slope.
Step-by-step explanation:
13. A new CD costs $13.79, plus $0.97 in sales tax. How much do 3 new CDs cost? Explain how
you found your answer.
Answer:
the cost of the three new CDs is $44.28
Step-by-step explanation:
Here in this question, we are interested in calculating the cost of 3 new CDs cost.
From the question, we already know the cost of one. The cost of three would be 3 multiplied by the cost of one.
The cost of the three excluding the sales tax = $13.79 * 3 = $41.37
The sales tax for the three pieces = 3 * $0.97 = $2.91
The cost of the three CDs including the sales tax = $41.37 + $2.91 = $44.28
Serena estimates that she can paint 60 square feet of wall space every half-hour. Write an equation for the relationship with time in hours as the independent variable x and the square footage she can paint as the dependent variable y. Can she paint 400 square feet in 3.5 hrs
Answer:
So, the relationship with i hours as the indecent variables would be
Serena can't paint 400 square feet of wall space of wall space in 3.5 hours.
Step-by-step explanation:
Since we have given that
Area that she can paint = 60 square feet
Time taken = half hour = 30 minutes = 0.5 hours
Using "Unitary method, we get that
In 0.5 hours, she can paint = 60 square feet
In 1 hour, she can paint =
In i hours, she can paint =
Let the total area she can paint be 'y'.
So, the relationship with i hours as the indecent variables would be
Now, Can Serena paint 400 square feet of wall space i. 3.5 hours
We put y = 400 and i = 3.5 hours to check whether it is equal or not.
Hence, Serena can't paint 400 square feet of wall space of wall space in 3.5 hours.
Answer:
0.5
Step-by-step explanation:
find the value of a2+y when x=4 and y=3
Answer:
If you mean x2+y, then the answer would be 11.
−2xy^4(7x^2)
i need help please.
Answer:
-14x³y₄ sorry the 4 goes up in the top like the 3Step-by-step explanation:
Daniela sells handmade purses for $22. She
makes $15 after expenses for each purse she
sells. She has $71 in the bank. How many
purses will she need to sell in order to have a
total of $161 in the bank?
Answer:
6 purses
Step-by-step explanation
1. Subtract 71 from 161 as that's how much Daniela needs to make to have 161, which is 90
2. Divide 15 by 90 as 15 is the profit, so the answer would be the amount of purses she needs to sell, then you get 6
Check
6 times 15, 90
71 + 90 = 161
help me with this qustion
Answer:
c
Step-by-step explanation:
Answer:it's c
Step-by-step explanation:
On Monday, 350 students went on a trip to the zoo. All 9 buses were filled and 8 students had to travel in cars. Which equation can be used to determine, x, how many students were in each bus ?
Answer:
(350-8)/9
Step-by-step explanation:
If 8 students had to get on to a car then there would be the remainder of students on the buses. 342 students on 9 buses! Just Divide.
Willie makes $0.12 off of every shirt he sells. He sold 179 shirts this week, how much did he make in total?
Answer:
$21.48
Step-by-step explanation:
0.12*179=21.48
what is the distance between the two points shown on the graph?
Answer:
A- 19
Step-by-step explanation:
To find the distance between two points on a graph just count the number of points inbetween the two numbers. I hope my answer was helpfull and accurate. Have a lovely day!
What’s the value of k?
Answer: k = 5°
Step-by-step explanation:
A triangle adds up to 180°. Therefore, the equation is 115 + (4k + 5) + (6k + 10) = 180.Remove the parenthesis and combine the like terms. 115 + 5 + 10 = 130 and 4k + 6k = 10k. The equation simplifies to 130 + 10k = 180.Subtract 130 on both sides. 10k = 50Divide by 10 on both sides. k = 5Answer:
The value of k is 10°
Step-by-step explanation:
Assuming that straight line is 180°. First, you have to find the angle of ZYX by subtracting 115° from 180° :
∠ZYX = 180° - 115° = 65°
Given that total angles in a triangle is 180°. So you have to add up all the angles in the triangle in terms of k :
∠XZY + ∠ZYX + ∠ZXY = 180°
4k + 5 + 65 + 6k + 10 = 180
10k + 80 = 180
10k = 180 - 80
10k = 100
k = 100 ÷ 10
k = 10
how are adding and subtracting two rational numbers with different signs related to adding and subtracting two integers with different signs.
Answer:
Step-by-step explanation:
it is related as all integers are rational numbers
The required solution is integers are rational numbers.
It is required to find the solution.
What is real number?Real numbers are numbers that include both rational and irrational numbers. Rational numbers such as integers (-2, 0, 1), fractions(1/2, 2.5) and irrational numbers such as √3, π(22/7), etc., are all real numbers.
Solution:
They are related because most of the integer numbers are similar to rational numbers. Also, when subtracting, it is basically like adding a negative number which is a integer. They are related because the equations have both integer and rational numbers in it.
∴It is related as all integers are rational numbers.
Therefore, the required solution is integers are rational numbers.
Learn more about real number here:
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the square root of -12 is between what two numbers
Answer:
Under root of-12 may lie between two imaginary numbers.
Step-by-step explanation:
Consider,[tex] \sqrt{ - 12} [/tex][tex] \sqrt{ - 1 \times 12} [/tex][tex] \sqrt{12 } \times \sqrt{ - 1} [/tex][tex]3.46 \times \sqrt{ - 1} [/tex][tex] \sqrt{ - 1} = i(imaginary no.)[/tex][tex]3.46 \times i[/tex]it will lie in b/w 3i-4iAnswer:
it will lie in between 3i and 4i
Blake is working to find the slope given 2 points.
(-1,5) and (3, 13)
ent
She used this formula:
If you're given two points
(x1, Y.) and (x2,Y2)
Y2-Y.
m =
X2-X,
Replacing the values, she gets:
13-5
3-(-1),
What is the slope?
Answer:
-1/2
Step-by-step explanation:
The slope is
which is longer 5 miles or 5 kilometers?
Answer:
im pretty sure its kilometers
Kira runs each lap in 7 minutes. She will run less than 42 minutes today. What are the possible numbers of laps she will run today?
Use n for the number of laps she will run today.
Write your answer as an inequality solved for n.
Answer:
n=6
Step-by-step explanation:
Simplify the expression 4+ (-2)
0-12
O 12
0-2
Please help ASAP
Answer:
4 + (-2) = 2
Step-by-step explanation:
[tex]4+(-2)=\\\\4-2=\\\\2[/tex]
None of the given options are correct.
Hope this helps.
Larry has a gift card worth $400 for a local entertainment store. Movies cost $20 each and newly released video games cost $50 each. In order
to use the gift card, Larry must purchase at least nine items. Which is a combination of movies and newly released video games that Larry could
purchase using his gift card?
10 movies and 5 video games
6 movies and 2 video games
4 movie and 8 video games
7 movies and 5 video games
f(x) = 3(x-4)2-2
Pls help me solve
Answer:
x = 13/3
Step-by-step explanation:
Solve for x:
3×2 (x - 4) - 2 = 0
Hint: | Multiply 3 and 2 together.
3×2 = 6:
6 (x - 4) - 2 = 0
Hint: | Distribute 6 over x - 4.
6 (x - 4) = 6 x - 24:
6 x - 24 - 2 = 0
Hint: | Group like terms in 6 x - 24 - 2.
Grouping like terms, 6 x - 24 - 2 = 6 x + (-24 - 2):
6 x + (-24 - 2) = 0
Hint: | Evaluate -24 - 2.
-24 - 2 = -26:
6 x + -26 = 0
Hint: | Isolate terms with x to the left hand side.
Add 26 to both sides:
6 x + (26 - 26) = 26
Hint: | Look for the difference of two identical terms.
26 - 26 = 0:
6 x = 26
Hint: | Divide both sides by a constant to simplify the equation.
Divide both sides of 6 x = 26 by 6:
(6 x)/6 = 26/6
Hint: | Any nonzero number divided by itself is one.
6/6 = 1:
x = 26/6
Hint: | Reduce 26/6 to lowest terms. Start by finding the GCD of 26 and 6.
The gcd of 26 and 6 is 2, so 26/6 = (2×13)/(2×3) = 2/2×13/3 = 13/3:
Answer:x = 13/3
28 people ordered dessert
2/7 ordered ice cream
the rest ordered the special
how many people ordered the special
Answer:
20 people
Step-by-step explanation:
The first step is to find out how many people are in 1/7 of the group. To do this, we divide 28÷7, and our answer is 4.
28÷7=4
Our next step is to find out how many people are in 2/7 of the group. We would double the 4, since 1/7 doubled is 2/7, and get 8.
4 x 2= 8
Now we know that 8 people ordered ice cream. To find the number of people who ordered the special, we subtract 8 from 28.
28-8= 20
Therefore, 20 people ordered the special. Hope this helps!
If 28 people ordered dessert, 2/7 ordered ice cream then 20 people ordered the rest.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that 28 people ordered dessert.
2/7 ordered ice cream and the rest ordered the special how many people ordered the special.
1/7 of the 28 people is 4.
Our next step is to find out how many people are in 2/7 of the group. We would double the 4, since 1/7 doubled is 2/7, and get 8.
4 x 2= 8
we know that 8 people ordered ice cream.
To find the number of people who ordered the special, we subtract 8 from 28.
Twenty eight minus eight equal to twenty.
28-8= 20
Hence, 20 people ordered the special.
To learn more on Equation:
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Identify the graph of the inequality 2(2x – 1) + 7 < 13 or –2x + 5 < –10.
Answer:
–2x + 5 < –10.
Decimal Form: 7.5
15/2
Answer:
the answer is C on edge
Ming made a triangular picture frame out of cardboard. The sides of the frame are 6.75 in., 6.75 in., and 8.375 in. Ming uses the addition below to determine the amount of string she needs to decorate the edges of the frame.
675 + 675 + 8.375 = 9.725. The 675 values are lined up with the 375 portion of 8.375.
Which explains Ming’s error?
Answer:
She should have included the decimal in 6.75 and aligned the decimal points to add 6.750 + 6.750 + 8.375 = 21.875.
Step-by-step explanation:
6.750
6.750
+ 8.375
21.875
I hope this helps
Answer:
The answer is A
Step-by-step explanation:
I took the test
Makayla was given a box of assorted chocolates for her birthday. Each night, Makayla treated herself to some chocolates. There were originally 12 chocolates in the box and after 2 nights, there were 8 chocolates remaining in the box. Write an equation for C,C, in terms of t,t, representing the number of chocolates remaining in the box tt days after Makayla's birthday.
Answer: c = 12 - 2t
Step-by-step explanation: