Based on the percentage of those who love running and those who don't, the total percentage of the athletes who do not enjoy cycling is 24.5%.
What percentage doesn't like cycling?The percentage who don't enjoy cycling are:
= Percentage who enjoy running and but not cycling + Percentage who don't enjoy running or cycling
Solving gives:
= ((1 - 70%) x 45%) + ( (1 - 45%) x (1 - 80%))
= (30 % x 45%) + (55% x 20%)
= 24.5%
Find out more on percentages at https://brainly.com/question/15702388.
#SPJ1
because of the rainy season, the depth in a pond increase 3% each week. before the rainy season started, the pond was 10 feet deep. what is the equation that best represents the depth of the pond each week? hint: use the formula y
The equation that best represents the depth of the pond each week is,
[tex]y=10(1.03)^{x}[/tex]
What is an equation?
A mathematical statement that has two expressions with equal values separated by the symbol "equal to" is called an equation.
Given:
The given equation is,
[tex]y=P(1+r)^{x} \;\;\;\;\;-------equation(1)[/tex]
Depth of the pond, P = 10 feet deep
Rate of pond increase, r = 3% = 0.03
Substitute the value of P and r in the equation (1),
[tex]y=10(1+0.03)^{x}[/tex]
Therefore, The equation that best represents the depth of the pond each week is,
[tex]y=10(1.03)^{x}[/tex]
To learn more about equation, visit:
https://brainly.com/question/15707224
#SPJ4
x^2+3 divided by x-2
Answer:
x2 + 3x − 2
Explination: trust pls
which term best describes the number of solutions that will maximize the function below given the constraints listed? (assume that and .) 3x 2y a. one optimal solution c. unbounded b. alternate optimal solutions d. infeasible please select the best answer from the choices provided a b c d
The best term that describes the number of solutions that will maximize the function is one optimal solution (a).
Number of Solutions in linear equations:
There are 3 possible types of solutions to the set of linear equations. They are:
Unique Solution - linear equation represents that there exists only one point, which on substitution, L.H.S becomes equal to R.H.S. In the case of simultaneous linear equations in two variables, the solution should be an ordered pair (x, y).
No Solution - linear equations are parallel, then the system of linear equations has no solution.
Infinitely Many Solutions - graph for the system of linear equations with infinitely many solutions is a graph of straight lines that overlaps each other.
Given,
Here we need to find the number of solutions that will maximize the function below given the constraints listed.
the constraints are 3x and 2y.
We know that, linear equations in two variables, the solution should be an ordered pair (x, y).
So, here we have exactly only one solution that is a unique solution.
Then the option (a) one optimal solution is correct
To know more about Number of solution in Linear equation here.
https://brainly.com/question/13631560
#SPJ4
Show your work given the rule of (x,y)—->(x-7.5,y+6.8)
Original coordinate (5,3)
The translation of the point, (5, 3) according to the rule, (x, y) → (x - 7.5, y + 6.8), gives the point, (-2.5, 9.8)
What is a translation transformation?A translation transformation is one in which the image of a pre–image is located at a position according to a rule. such that the difference between the image and the pre-image is a change in location.
Given parameters;
The coordinates of the given point = (5, 3)
The rule for the given transformation = (x, y) → (x - 7.5, y + 6.8)
The original coordinates of the point = (5, 3)
The coordinates of the image following the transformation is therefore;
[tex](5, 3) \: \underrightarrow{ T } \: (5 - 7.5,\: 3 + 6.8) [/tex]
Where;
[tex]T = T_{ (- 7.5,\: 6.8)}[/tex]
(5 - 7.5, 3 + 6.8) = (-2.5, 9.8)
Which gives;
[tex](5, 3) \: \underrightarrow{ T_{( - 7.5,\: 6.8)} } \: ( - 2.5,\: 9.8) [/tex]
The transformation of the point (5, 3) according to the rule (x, y) → (x - 7.5, y + 6.8), gives (-2.5, 9.8)
Learn more about translation transformation here:
https://brainly.com/question/24263250
#SPJ1
Pls pls help whoever gets it right gets a crown
Answer its the first one
Step-by-step explanation:
I need help with this :)
Answer:
-2 1/4Correct placement.Absolute values:
Absolute values are specific values in math interpreted by vertical bars and a plus/minus symbol to represent addition, subtraction, or if they are negative / positive. Mostly, if the absolute value is positive, you can write the vertical bars to represent its absolute value. No need for a plus symbol. However, negative numbers are often different.
Exempli gratia(e.g): |2|, |-2|, |+2|
The boiling point of a liquid is the temperature at which the liquid starts to boil. The boiling point of water is 212°F. Propane gas is used for cooking in gas grills. Liquid propane has a boiling point of
–
44°F.
How much warmer is the boiling point of water than the boiling point of liquid propane?
The boiling point of water is 256 °F warmer than the boiling point of liquid propane.
In the question, we are given that the boiling point of a liquid is the temperature at which the liquid starts to boil. The boiling point of water is 212°F. Propane gas is used for cooking in gas grills. Liquid propane has a boiling point of -44°F.
We are asked to find how much warmer the boiling point of water is than the boiling point of liquid propane.
To find the warmth of the boiling point of water in comparison to the boiling point of liquid propane, we subtract the boiling of liquid propane from the boiling point of the water.
Thus, The warmer the boiling point of water is in comparison to the boiling point of liquid propane = The boiling point of water - The boiling point of liquid propane,
or, The warmer the boiling point of water is in comparison to the boiling point of liquid propane = 212 °F - ( -44 °F),
or, The warmer the boiling point of water is in comparison to the boiling point of liquid propane = 212 °F + 44 °F = 256 °F.
Thus, the boiling point of water is 256 °F warmer than the boiling point of liquid propane.
Learn more about boiling point at
https://brainly.com/question/24675373
#SPJ9
Point L is the midpoint of JK . JK intersects MK at K . If MK ≅ JL , prove that LK ≅ MK
You can see that JL = LK and MK ≅ JL, hence according to the transitive property, we can conclude that LK ≅ MK
Midpoint of coordinateA midpoint is a point that divides a line of a segment into two equal parts. It also means that the point bisects the given line.
If the point L is the midpoint of JK, then;
JL + LK = JK and;
JL = LK .........1
Similarly, K intersects MK at K, then;
MK ≅ JL..........2
From equation 1 and 2, you can see that JL = LK and MK ≅ JL, hence according to the transitive property, we can conclude that LK ≅ MK
Learn more on transitive property here: https://brainly.com/question/2437149
#SPJ1
Sam says that both 0.0032 and 0.0302 have 2 significant digits
because zeros are not significant. Do you agree?
Answer:
ask his mom she probobaly weighs more
Step-by-step explanation:
ashley recently opened a store that uses only natural ingredients. she wants to advertise her products by distributing bags of samples in her neighborhood. it takes one person 2/3 of a minute to prepare one bag.
Ashley and her four friends will need 5 hours and 19.57 minutes to make 1575 bags if Ashley takes 2/3 of a minute and each friend takes 75% longer.
What is a minute?
The first sexagesimal fraction of an hour, or one-fifth of an hour, or 60 seconds, is known as the minute. On rare occasions, due to leap seconds, a minute in the UTC time zone has 61 seconds (A negative leap second might be inserted, producing a minute of 59 seconds; however, this has never occurred in more than 40 years under this system.) The minute can be used with SI units even if it isn't a SI unit. Minute or minutes is represented by the SI unit min (without a dot). Occasionally, people would slangy refer to minutes of time by the prime symbol.
Calculations:
For a bag, Ashley needs about 2/3 of a minute.
= Ashley prepare bag in 1 minute = 3/2
Her friends takes 75% Longer to prepare a bag
time taken by her friends = 2/3 + (75/100)(2/3)
= (2/3)( 1 + 3/4)
= (2/3)(7/4)
= 7/6 Minutes
Her one friend prepare bag in 1 minute = 6/7
Bag prepared by Ashley & her 4 friend in 1 Minute
= 3/2 + 4*6/7
= (21 + 48)/14
= 69/14 Bag
69/14 Bag prepared in 1 minute
1 Bag prepared in 14/69 minutes
1575 bags prepared in 1575 * 14/69
= 319.57 minutes
= 5 hrs 19.57 Minutes
To learn more about minute ,visit:
https://brainly.com/question/1658422
#SPJ4
Nina has $40 in the bank. She writes a check for $63, deposits $80 and writes another check for $140. What is her balance?
Answer:
-$83
Step-by-step explanation:
Create an equation to model Nina's balance.
[tex]40-63+80-140=-83[/tex]
A quantity increases from 225 to 250. what is the percentage increase? round your answer to the nearest tenth of a percent.
The percentage increase for given quantity is 11.1%
In this question,
A quantity increases from 225 to 250.
So, the absolute change in the quantity would be,
|225 - 250| = 25
The relative increase of the quantity would be,
R = [tex]\frac{|225 - 250|}{225}[/tex]
R = 25 / 225
R = 0.111
We know that, the percentage increase of the quantity is the relative increase multiplied by 100.
So, the percentage increase of given quantity would be,
P = 0.111 × 100
P = 11.1%
Therefore, the percentage increase for given quantity is 11.1%
Learn more about the percentage increase here:
https://brainly.com/question/20818421
#SPJ4
Members of a baseball team raised $1128.75 to go to a tournament. They rented a bus
for $856.50 and budgeted $24.75 per player for meals. Write and solve an equation
which can be used to determine x, the number of players the team can bring to the
tournament.
Equation:
The baseball team can bring 11 players to the tournament based on their budget.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let x represent the number of players the team can bring to the tournament. They rented a bus for $856.50 and budgeted $24.75 per player for meals, hence:
24.75x + 856.5 = 1128.75
x = 11
The baseball team can bring 11 players to the tournament based on their budget.
Find out more on equation at: https://brainly.com/question/13763238
#SPJ1
every student in a homeroom class takes a biology course or a spanish course or both. if 18 take biology, 13 take spanish and 5 take both, how many students are in the homeroom classroom?
=====================================================
Work Shown:
A = 18 take bio
B = 13 take Spanish
C = 5 take both
A+B-C = 18+13 - 5 = 26 students total
------------------------------
Another approach:
18 take bio and 5 take both, so 18-5 = 13 take bio only
13 take Spanish and 5 take both, so 13-5 = 8 take Spanish only
We then have 13+8+5 = 26 students
Both methods only work when each student is in either bio, Spanish, or both. We cannot have a student who is in neither class.
Is it possible to draw a triangle with angles 150˚, 20˚ and 20˚ and explain answer
Answer: False; the sum of the angles is not equal to 180
Answer:
No
Step-by-step explanation:
The sum of angles in a trigngle has tp be 180.
150+20+20 is 190, there fore you cant
Explain how to graph the function using transformations seen in the function. f(x)=3(x+7)^3 - 9
Answer:
Step-by-step explanation:
f(x)=3(x+7)³-9
1. Let's graph the function у=3х³
2. Shift the graph of the function to the left by 7 units along the х-axis
3. Slide the graph of the function down 9 units along the y-axis
3(-4x-2)=-6
X=???????
Bianca spent 1/2 of an hour playing on her phone . that used up 1/3 of her battery how long would she have to play on her phone to use the entire battery
Bianca should play with her phone for 1.5 hours to use the entire battery.
What exactly are fractions?A fraction is a portion of a whole or, to put it another way, any number of equal parts.A fraction in everyday English refers to the number of parts of a specific size, such as one-half, eight-fifths, or three-quarters.Bianca spent 1/2 of an hour playing on her phone which used up 1/3 of her phone's battery.
So, 1/3 × 3 = 3/3 = 1So, if she plays with her phone 3 times more she will use the entire battery of the phone.Then,
1/2 × 3 = 3/2 = 1.5 hoursTherefore, Bianca should play with her phone for 1.5 hours to use the entire battery.
Know more about fractions here:
brainly.com/question/17220365
#SPJ1
two and half of a number added to three quarters of the same number gives you 13.find the number.
Answer:
52/21
Step-by-step explanation:
Translate the word equation into an algebraic equation as follows:
Let the number be X
two-and-a-half of a number --> (2 1/2) X
2 1/2 = (2 x 2 + 1) = 5/2
So two-and-a-half of a number --> (9/2)X = 9X/2
three-quarters of the same number --> (3/4)X --> 3X/4
two and half of a number added to three quarters of the same number becomes 9X/2 + 3X/4
gives you 13 --> = 13
So we get the equation:
9X/2 + 3X/4 = 13
Multiply both sides by 4 to get rid of the denominators
4.(9X/2) + 4(3X/4) = 4 x 13 = 52
36X/2 + 12X/4 = 52
==> 18X + 3X = 52
==> 21X = 52
==> X = 52/21
A line passes through the point (-1,-2) and has a slope of
-5.
Write an equation in slope intercept form for this line.
Answer:
y = - 5x - 7
Step-by-step explanation:
A line has a function:
y = ax + b
Because the line has a slope of - 5
=> a = - 5
=> y = - 5x + b
Because the line goes through point (- 1; - 2)
=> - 2 = (- 5).(- 1) + b
=> 5 + b = - 2
=> b = - 7
=> The slope intercept from of the line:
y = - 5x - 7
can you solve this for me
The answer to the problem of logical reasoning will be:
8 + 9 × 4 = 8 + 36 = 44
By hit and trial method, we get that:
The value of bag will be 4.
The value of book will be 9
The value of pencil will be 5.
We get that:
4 + 9 × 4 = 4 + 36 = 40
Which is true
2(8) + 8 × 4 = 16 + 32 = 48
Which is true
9 + 8 + 2(8) = 9 + 8 + 16 = 33
Which is true
So, we get that:
8 + 9 × 4 = 8 + 36 = 44
Therefore, the answer to the problem of logical reasoning will be:
8 + 9 × 4 = 8 + 36 = 44
Learn more about logical reasoning here:
https://brainly.com/question/25175983
#SPJ9
Find the dimensions of a rectangle if the perimeter is 318 inches and the
length is half the width plus nine inches.
The dimensions of the rectangle are 59 by 50 inches
How to fnd the dimensions of a rectangle?The given parameters are
Length (l) = 1/2 width (w) + 9
Perimeter (P) = 318
Perimeter is calculated as
P = 2 (l + w)
Substitute l = 1/2w + 9 in P = 2(l + w)
So, we have
2 * (1/2w + w + 9) = 318
Evaluate the like terms
2 * (1.5w + 9) = 318
Divide by 2
1.5w + 9 = 159
So, we have
1.5w = 150
Divide by 15
w = 100
Substitute w = 100 in l = 1/2w + 9
l = 1/2 * 100 + 9
Evaluate
l = 59
Hence. the dimensions of the rectangle are 59 by 50 inches
Read more about perimeter at:
https://brainly.com/question/24571594
#SPJ1
Simplify 1 3/4 and 2 1/2
Answer: 1 3/4=7/4
2 1/2=5/2
Step-by-step explanation:
1 3/4=
1 + 3/4=
4/4 + 3/4=
(4+3)/4=7/4
2 1/2=
2+1/2=
4/2+1/2=5/2
A contaminat is found in solution at a level of 3/500%. What fraction of the solution isnthis?
The fraction of the solution present in the contaminant is 3/5.
What is defined by the term fraction?Fractions represent parts of a whole or group of objects. A fraction is made up of two parts. The number at the top of the line is made reference to as the numerator. It specifies the number of equal portions of the entire or collection that are taken. The denominator is the number just below line. It displays the total number of equal portions into which the whole is divided or the total number of identical objects in a collection.First, we convert 50% to fractions.
Changing a percentage to a fraction is equivalent to dividing a number by 100.
500% = 500/100
Taking this into account, we get 3/(500/100).
Then, when we divide a number by a fraction, we multiply the result by the inverse of the fraction.
= 3/(500/100)
= 3 x 100/500
Further simplifying;
= 300/500
= 3/5
Therefore, the value of the fraction of contaminant solution is 3/5.
To know more about the fraction, here
https://brainly.com/question/23895729
#SPJ9
What is the formula for the sum of two whole numbers is 72. The difference is 48 what are the two numbers
Answer:
It works in both equations, so the two numbers are 60 and 12.
Step-by-step explanation:
BOOKWORK Code: L82
allowed
Using Pythagoras' theorem, calculate the length of the hypotenuse in this right-
angled triangle.
Give your answer in centimetres (cm) to 1 d.p.
8 cm
3.9 cm
Not drawn accurately
The length of the hypotenuse in this right-angled triangle = 6.98 cm².
What exactly is the Pythagorean Theorem?The Pythagorean theorem states that the total of the squares on the legs of a right triangle equals the square upon that hypotenuse (the side opposite the right angle)—or, in popular algebraic notation, a2 + b2 = c2.
What is the triangle's formula?The basic formula for calculating the area of a triangle is the half square product of its base as well as height, i.e., A = 1/2 b h. This formula applies to all triangles, whether they are scalene triangles, isosceles triangles, or equilateral triangles.
According to the information:Hypotenuse (c) = 8 cm
Base (b) = 3.9 cm
Length =
C² = (a² + b³)
a² = C² - b²
a = √((8)² - (3.9)²)
= 6.98 cm²
The length of the hypotenuse in this right-angled triangle = 6.98 cm².
To know more about hypotenuse visit:
https://brainly.com/question/24107292
#SPJ9
A circular table top has a radius of 90 cm. A force of 810 N is applied to the whole table top. Calculate the pressure in N/m2 to 4sf.
The pressure of the circular table top has a radius of 90 cm. A force of 810 N is applied to the whole table top = 287.23 N/m².
The force defined as:A force seems to be an influence that could also cause an object's motion to change. A force can cause a mass item's velocity or acceleration to alter. The force can be expressed intuitively as a push or perhaps a pull. Because it has both magnitude and direction a force is a vector quantity.
What exactly do you mean by pressure?The force applied against the surface of an item per unit area across which that force is spread is referred to as pressure (symbol: p or P).
According to the given data:Force = 810N
Radius of the circular table = 90cm.
Pressures = force /area
Finding the area of circular table = πr²
= π x 90 x 10⁻² (1 cm = 10⁻²)
= 2.82 m²
substituting the value in the formula.
Pressures = force /area
= 810/2.82
= 287.23 N/m²
The pressure of the circular table top has a radius of 90 cm. A force of 810 N is applied to the whole table top = 287.23 N/m²
To know more about force visit:
https://brainly.com/question/13191643
#SPJ9
what is 9 4/9 dividedby 5/9
Answer:
17
Step-by-step explanation:
Answer:
17
Step-by-step explanation:
Can you give me brainliest?
please I want a beautiful and nice sentences in12 words:bedrock,robust,isolation,eliminate,ritual, endure, diagnose, outlive, relieve,ailment, relentless and mortality.and thanks
Answer:
Step-by-step explanation:
PLEASE HELP ASAP!! will mark brainlest
Answer: read first :)
Step-by-step explanation:
the first equation, x= -4 + 3y/5
y= 20/3 + 5x/3
the second equation, x= 4 - 2y/3
y= 6 - 3x/2