Answer:
Arthur should select the Mount Joy Pool when there are less than 10 people at the party
Step-by-step explanation:
The initial fee to rent the Woodbridge Pool = $50
The additional fee per person after renting = $5
The initial fee to rent at Mount Joy Pool = 0 (no initial fee)
The fee per person at Mount Joy Pool = $10
The equation of a straight line is y = m·x + c
Ley y represent the total cost of renting the pool, x, represent the number of persons in the pool, m represent the fee per person and c represent the initial charges, we get;
The total cost of renting Woodbridge Pool, y = 5·x + 50
The total cost of renting the Joy Pool, y = 10·x
Equating both values of y gives;
5·x + 50 = 10·x
∴ 5·x = 50
x = 50/5 = 10
x = 10
From the above equations, the cost of renting the pool is lower for the Joy Pool when there are less than 10 persons at the pool
It will cost the same amount to rent the pool when the number of persons in the pool are 10 persons and the cost of renting the Mount Joy Pool will be more than the cost of renting the Woodbridge Pool, when there are more than 10 persons
Therefore, Arthur should select the Mount Joy Pool when there are less than 10 people at the party.
find the ratio of Rs 20 and 900
Answer:
1 : 45
Step-by-step explanation:
Given
Rs 20 and 900 ( divide both by 20 )
= 1 : 45
write an inequality and show on a number line all numbers greater (-3) but less than equal to3
Answer:
-3<x<_3
You plot this on a number line by writing and open circle on -3 and drawing and arrow from that open circle all the way until 3 and them draw a closed circle on 3.
Step-by-step explanation:
PLEASE HELP!
Create an equation to model a population of cells which starts with 10 cells and doubles in size every day. How many days will it take to reach 1,000,000 cells?
Answer:
100,000 days
Step-by-step explanation:
1,000,000 / 10 = 100,000 days.
what is the answer to this equation?
Answer:
4i
Step-by-step explanation:
apply (a+b)^2 formula
please answer this question fastly
Answer:
4 3/20 cm
Step-by-step explanation:
Perimeter of a triangle = 16 3/5 cm
Side A = 5 7/10 cm
Side B = 6 3/4 cm
Side C = x cm
Perimeter of a triangle = side A + side B + side C
16 3/5 = 5 7/10 + 6 3/4 + x
83/5 = 57/10 + 27/4 + x
83/5 = (114+135) / 20 + x
83/5 = 249/20 + x
x = 83/5 - 249/20
= (332-249) / 20
= 83/20
= 4 3/20
x = 4 3/20 cm
Side C = x cm = 4 3/20 cm
Please help me if you can...
The roof of another Green House contains clear glass panels Isosceles Trapezium in shape, all the same size and one glass panel, REGULAR HEXAGON in shape, in the middle surrounded by the Trapezium. Its walls are squares in shape.
Q1. Illustrate the above situation with the diagram (cross section of the Green house).
Q2. The 2 angles of the Isosceles Trapezium are 1050 and 750, find the other 2 angles.
Q3. How much tape does Jane require to join the roof and the walls, if the walls are in the shape of squares of side 10m.
Answer:
Q2.the 2 angles of the isoceles trapezium are 1050 and 750,find the other 2 angles.
You go to the doctor and he injects you with 13 milligrams of radioactive dye. After 12 minutes, 4.75 milligrams of dye remain in you system. To leave the doctor's office, you must pass through a radiation detector without sounding the alarm. If the detector will sound will sound the alarm whenever more than 2 milligrams of the dye are in your system, how long will your visit to the doctor take, assuming you were given the dye as soon as you arrived and the amount of dye decayse exponentially?
Answer:
Step-by-step explanation:
You need to find the model for this situation using the points given. If you are given 13 mg immediately, the coordinate point for that is (0, 13), where the x coordinate is the time in minutes and the y coordinate is the amount of dye in mg.
If after 12 minutes, 4.75 mg remain, the coordinate point for that is (12, 4.75). Just so you know, the time unit always goes in for x, never for y.
Now that we have these coordinates we are going to use them as a system and find the model. Begin with the point (0, 13) in
[tex]A=a(b)^t[/tex] where A is the amount left in the body, a is the initial amount injected, b is the rate at which it decays, and t is the time in minutes. Plug in the first set of coordinates:
[tex]13=a(b)^0[/tex] and since anything raised to the power of 0 is equal to 1, we have
13 = a. Now we can use that and write another equation with the other set of coordinates to solve for b:
[tex]4.75=13(b)^{12}[/tex] and divide both sides by 13 (don't round anything yet) to get
.3653846154 = b¹². Now take the 12th root of both sides (you need a scientific calculator for this) to get that
b = .9195228407 Yikes.
Now for the model, using the fact that a = 13 and b = .9195228407:
[tex]A=13(.9195228407)^t[/tex]
We are told that the amount that we are allowed to leave with still remaining in our system cannot be more than 2 mg, so we sub in a 2 for A:
[tex]2=13(.9195228407)^t[/tex] and begin by dividing away 13 to get
[tex].1538461538=.9195228407^t[/tex] Take the natural log of both sides, which allows us to bring the t out front:
ln(.1538461538) = t ln(.9195228407) and finally divide by ln(.9195228407) to get
t = 22.3 minutes
Algebraic expression for 2a+3b-c if a=3 b=-4 c=-2
Answer:
-4
Step-by-step explanation:
a = 3
b = -4
c = -2
2a + 3b - c
= 2(3) + 3(-4) - (-2)
= 6 + (-12) + 2
= -4
help please coordinates for math
Answer: Slope = c / a + b
Concept:
Here, we need to know the idea of a slope.
In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line.
Slope = Rise / Run = Δy / Δx = (y₂ - y₁) / (x₂ - x₁)
Solve:
STEP ONE: Identify the points
A (0, 0)
C (a + b, c)
STEP TWO: Apply the formula
Slope = (y₂ - y₁) / (x₂ - x₁)
Slope = (c - 0) / (a + b - 0)
Slope = c / a + b
Hope this helps!! :)
Please let me know if you have any questions
express 40% of a right angle into radian measure
40% of a right angle into radian measure will be π/5.
What is an angle?The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.
40% of a right angle.
We know that the right angle given in the form of radian will be as π / 2.
Then the 40% of the right angle will be given as,
⇒ 40% of π/2
⇒ 0.40 × π/2
⇒ 2/5 × π/2
⇒ π/5
40% of a right angle into radian measure will be π/5.
More about the angled link is given below.
https://brainly.com/question/15767203
#SPJ1
The midpoint of a segment is ( 6, -6) and one endpoint is (13,-1). Find the coordinates of the other endpoint
(2x2 + 1) + 3/2x2=1=4
Answer:
3(2×2+1)+3×(2×2)/3=1×3=4×3
36+3+4=3=12
36+3+4-3-12
43-15
28
find the area of the following composite figure
What is the value of x in the equation
3x - y = 30, when y = 15?
Answer:
x = 15
Step-by-step explanation:
3x - y = 30
Given;
y = 15
To find;
value of 'x'
Putting the value of y in the given equation;
3x - 15 = 30
3x = 30 + 15
3x = 45
x = 45/3
x = 15
Answer:
x = 15Step-by-step explanation:
3x - y = 30let y = 153x - 15 = 303x = 30 + 153x = 45x = 45/3x = 15Let's check:3x - y = 303(15) - 15 = 3045 - 15 = 3030 = 30[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]
Draw the parabola's axis of symmetry.
An article in Fortune (September 21, 1992) claimed that nearly one-half of all engineers continue academic studies beyond the B.S. degree, ultimately receiving either an M.S. or a Ph.D. degree. Data from an article in Engineering Horizons (Spring 1990) indicated that 117 of 484 new engineering graduates were planning graduate study. Are the data from Engineering Horizons consistent with the claim reported by Fortune
Answer:
unless this is a stats question and you are suggesting that you have bad sampling techniques being used
117/484 is about 24% that is 100% under the "about 50%" stated in the article
Step-by-step explanation:
What is the approximate value of tan c?
A. 0.92
B. 0.44
C. 0.40
D. 2.29
Answer:
B. 0.44
Step-by-step explanation:
Tan = Opposite/Adjacent
Tan C = 7/16 = 0.4375 ≈ 0.44
A grocery store offers 2 free flashlights with any purchase. Rita can spend $100. The number of items that she can buy is given by
y = 100/x +2
where x is the average price per item. Identify the reasonable domain and range values.
D: x < 0
R: natural numbers > 2
D: x < 0
R: natural numbers < 2.
D: x > 0
R: natural numbers > 2
D: x > 0
R: natural numbers < 2
Answer:
The answer is D: x > 0
R: natural numbers > 2
Step-by-step explanation:
I got 100 on the quiz good luck bro
what is the mass of raisins in a package
Answer:
Step-by-step explanation:
12
FIRST ANSWER GETS BRAINLIEST!!
(sorry for the colors on the picture)
It is the 3rd answer
\sqrt{10(x-3)} =\sqrt{26\\
Step-by-step explanation:
[tex]\sqrt{10(x-3)} =\sqrt{26}[/tex]
[tex]\sqrt{10x-30} = \sqrt{26} \\\10x-30 = (\sqrt{26} )^2\\10x - 30 = 26\\10x = 56\\x = 56/10\\so, x = 28/5[/tex]
2x(9x-4)-3x(6x-7)=26
Answer: x=2
Step-by-step explanation:
[tex]2x(9x-4)-3x(6x-7)=26\\18x-8x-18x+21x=26\\10x-18x+21x=26\\-8x+21x=26\\13x=26\\x=2[/tex]
find the missing side of the triangle plz help me and explain plz bc I don't understand
Answer:
√8
Step-by-step explanation:
Pythagorean's Theorem says 2^2+2^2=4+4=8.
Answer:
So we know that this is a right isosceles triangle because 2 sides are equal and there's a 90 degree angle,
In an isosceles right triangle, the sides are in the ratio 1:1:[tex]\sqrt{2}[/tex]
a^2 + b^2 = c^2
We use the Pythagorean Theorem, where a and b are the legs and c is the hypotenuse.
2(2^2)=c^2
c=2[tex]\sqrt{2}[/tex]
Which function is increasing?
Answer:
A, it's the only one with a number greater then 1
Mrs brown designed a rug if it cost $22 per square foot to make how much will Mrs brown pay if the square feet is 31.25
Answer:
$687.5
Step-by-step explanation:
Cost of the rug per square foot = $22
Length of the rug = 31.25 feet
Total amount Mrs brown will pay = Cost of the rug per square foot × Length of the rug
= 31.25 × 22
= $687.5
Total amount Mrs brown will pay = $687.5
Can someone help me out
Answer:
17.6 mi
Step-by-step explanation:
I know you are using Windows 10 OS or something because of the cortana thingie and task bar option, and you can do Windows Key + Shift + S to take a screenshot.
This gives much better quality than a third party device and lets us evade the terrible pixel green line rippley thingies that form. Plus it is more efficient and faster.
Circumference formula is Diameter * Pi.
I assume the 5.6 mi. is the diameter since the line segment is going completely through the circle.
Pi is something of the lines of 3.141592653 blah blah blah and goes on forever, but the point is, we take it to be 3.14 when doing circle stuff so we don't die from old age trying to figure out a question of a 1 x 1 circle.
So 5.6 * 3.14 is 17.584 which is your answer.
It says to round to the nearest tenth though, so you round and get
17.6 since the 5 in 17.584 is the tenths place, the 8 is the hundredths place, the 4 is the thousandths place and so on and so forth.
(The " * " symbol represents multiplication and is in use all the time when going to higher levels of education.)
Which polynomial is prime?
Answer:
4x^(3)+2x^(2)+6x+3
Step-by-step explanation:
A polynomial is a combination of terms separated by + or − signs. A polynomial does not contain variables raised to negative or fractional exponents, variables in the denominator or under a radical, or any special features such as trigonometric functions, or logarithms. Polynomial
Which type of option helps the importer to hedge risks of exchange rate? A. Put option B. All names are not correct c. Call option d. Call option and put option
Answer:
Call option and put option ( D )
Step-by-step explanation:
During hedging in stock/financial markets both the Call and put option can be used to hedge the trading position of the trader against the change in exchange. This is because the call or put option is used depending on the initial position of the trader.
Call option is used when the trader is currently holding a short position
Put option is used when the trader is currently holding a long position
Please explain on how to do this.
Answer:
2.8 * 1.4 = 3.92.
Hope this answer helps you. Thank you.
Answer:
hope it helps you.........
see question in image
Answer:
b) 1/9Step-by-step explanation:
Rolling two dice, there are 6*6 = 36 outcomes
The outcomes with the difference of 4:
1&5, 2&6, 6&2, 5&1 - total of 4Required probability:
P = 4/36 = 1/9Correct choice is b