Answer:
b
Step-by-step explanation:
b
The constant of proportionality in the equation {y = x/9} is equivalent to (1/9).
What is a mathematical function, equation and expression?Function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function
Expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators
Equation : A mathematical equation is used to equate two expressions.
Given is the linear equation as follows -
y = x/9
This is the equation of a straight line, which is -
y = mx + c
{m} is slope and is also called the constant of proportionality.
We can write -
y = (1/9)x + 0
So, the constant of proportionality is equivalent to (1/9).
Therefore, the constant of proportionality in the equation {y = x/9} is equivalent to (1/9).
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Explain how to model the problem with algebra tiles and
then write an algebraic expression that represents the
situation.
Adrian lost one of his hats.
Answer:
The variable, the number of golf balls, is modeled by an orange x tile.
Finding 8 more golf balls is modeled by 8 orange + tiles.
The expression that represents the situation is x + 8.
Answer:
x-1 tile
Step-by-step explanation: trust me
Simplify
3m + 2n - (m + n)
Answer:
2m +n
Step-by-step explanation:
3m + 2n - (m + n)
Distribute the minus sign
3m + 2n - m - n
Combine like terms
3m -m +2n -n
2m +n
Here is some information about a play starts at 7:30pm first act last 46 minutes interval lasts 20 minutes second act last 53 minutes at what time does the second act end
Answer:
9:29 PM
Step-by-step explanation:
Let us add the number of minutes the first act, interval and second act lasted:
46 + 20 + 53 = 119 minutes
Converting this to hours and minutes:
60 minutes = 1 hour
119 minutes = 1 hour 59 minutes
Therefore, the time that the second act ends is:
H M
7 : 30 PM
+ 1 : 59
9 : 29
The second act will end by 9:29 PM
Given the following exponential function identify weather the change represents growth or decay and determine the percentage rate of increase or decrease y=550(0.97)x
Answer:
The exponential function is that of decay
The percentage decrease is by 3%
Step-by-step explanation:
The exponential equation we are considering is;
y = 550(0.97)^x
Now to know if it’s decay or growth, we shall be considering what we have in the bracket
Mathematically, we can express 0.97 as follows
0.97 = 1-0.03
So what does this means? There is a decrease in subsequent values from one value of y to another.
This means that the equation is for decay as what the term raised to an exponent is less than 1.
Now we want to determine the percentage rate of increase or decrease
What we need to do is to represent the 0.03 difference in fraction
That would be 3/100
So this means that the percentage decrease is by 3%
Need help with this math. 13 points
Answer:The triangle is dilated by a factor of 1/2
Step-by-step explanation:
Answer:
a scale factor of 2
Step-by-step explanation:
Caily bought 5.2 pounds of grapes for $7.75. Using the unit rate, how much would 3 pounds of grapes cost? *
1. If (1, -2) is a solution of a linear equation 2x – y = p, then find the value of p.
Answer:
Just put the values of x and y
x = 1
y = -2
2x – y = p
2(1) - (- 2) = p
p = 4
Answer:
The value of p is 4.
Step-by-step explanation:
In order to find p, you have to substitute the value of x and y into the linear equation :
[tex]2x - y = p[/tex]
[tex]let \: x = 1 \\ let \: y = - 2[/tex]
[tex]2(1) - ( - 2) = p[/tex]
[tex]2 + 2 = p[/tex]
[tex]p = 4[/tex]
In a class of 101010, there are 222 students who forgot their lunch. If the teacher chooses 222 students, what is the probability that both of them forgot their lunch?
Answer:
1/455
Step-by-step explanation:
place 222 over 101010 and divide
Answer:
1/45
Step-by-step explanation:
Step-by-step explanation
If you bike 8 miles south and then 6 miles east, what is the distance you are from your starting point? 10 miles 100 miles 14 miles
Answer:
10 miles
Step-by-step explanation:
Given: Bike goes 8 miles south and then 6 miles east
To find: distance between the final point and the starting point
Solution:
Pythagoras Theorem
In a right angled triangle, square of hypotenuse is equal to the sum of squares of the two sides.
In ΔOAB,
[tex]OB^2=OA^2+AB^2[/tex]
Put [tex]OA=8\,,\,AB=6[/tex]
[tex]OB^2=8^2+6^2=64+36=100[/tex]
Take square root on both sides.
[tex]OB=\sqrt{100}=10\,\,miles[/tex]
So, distance between the final point and the starting point is 10 miles
Answer:
10 miles
Step-by-step explanation:
Point Y is on XZ. YZ=5.2 and XZ=12.5. What is XY?
Answer:
XY = 7.3
Step-by-step explanation:
? 5.2
X ------------------------Y---------------Z
|<----------------12.5------------------->|
XZ = 12.5
YZ = 5.2
XY + 5.2 = 12.5
XY = 12.5 - 5.2
XY = 7.3
1/3(2x-8)=4 algebraic properties
Answer:
[tex]x=10[/tex]
Step-by-step explanation:
[tex]1/3(2x-8)=4[/tex]
[tex]2/3x-8/3=4[/tex]
[tex]2/3x=4+8/3[/tex]
[tex]2/3x=20/3[/tex]
[tex]x=20/3 \times3/2[/tex]
[tex]x=60/6[/tex]
[tex]x=10[/tex]
Answer:
10
please see the attached picture for full solution
hope it helps
Good luck on your assignment
What is the length of jk
A student pulls a box of mass 5 kg with a force of
20 N through a horizontal distance of 2.5 m. Calculate the
work done by the student.
Answer:
50j
Step-by-step explanation:
workdone = force x distance
workdone = 20x2.5
50j
GIVE BRAINLIEST :) Morgan can paint a room in 10 hours, while Sophia can paint it in 4 hours. If Morgan paints for x hours and Sophia paints for y hours, they will finish half of the painting, while if Morgan paints for y hours and Sophia paints for x hours they will paint the whole room. Find the ordered pair (x,y), expressing both x and y as simplified fractions.
Answer:
x,y = ( 3 17/21 , 10/21)
Step-by-step explanation:
Painting the room = 1 whole job
Morgan rate = 1/10
Sophia rate = 1/4
Rate x time = 1 job
1/10 x + 1/4 y = 1/2 and
1/10 y + 1/4 x = 1 solve for x,y
Multiply the top equation by - 2.5
(-2.5)/10 x - (2.5/4) y = -1.25
-1/4 x - 5/8 y = -1 .25
and add to the second equation to get
1/10 y - 5/8 y = -.25 solve for y
4/40 y - 25/40 y = -.25
-21/40 y = - .25
y = 10/21 hr Substitute this into one of the original equations to find 'x'
1/10 (10/21) + 1/4 x = 1
1/21 + 1/4 x = 1
1/4 x = 20/21
x = 80/21 x,y = ( 3 17/21 , 10/21)
please mark brainliest!
is 3/5 equal to 60/100
Answer: yes 3/5 equal to 60/100
Step-by-step explanation:
The answer is it is because if you do
5 times 20 its 100
and 3 times 20 is 60
so what you do to the bottom you do to the top
so the answer is yes 3/5 equal to 60/100
Hope this helps :)
Answer:
Yes
Step-by-step explanation:
[tex]\frac{3}{5} and \frac{60}{100}[/tex] are equivalent fractions. Equivalent fractions are fractions that have the same value of decimal. so when you simplify 60/100 you will definitely get 3/5. And both of their's decimal is equal which is 0.6.
Which of the following statements best describes theorems
Answer:
The answer to your question is the first option.
Step-by-step explanation:
What instruments are used in the song airplanes by B.o.B?
Answer:
Piano, guitars, drum set, and voices
Step-by-step explanation:
A manufacturer designs a circular ornament with lines of glitter as shown. Identify m∠PSR.
m=60
m=30
m=90
m=120
Answer:
120
Step-by-step explanation:
The measure of the arc QR⏜ intercepted by the inscribed ∠QPR is given.
According to the Inscribed Angle Theorem, the measure of the inscribed angle is equal to one-half the measure of the arc.
m∠QPR=12mQR⏜
Substitute 60° for mQR⏜.
m∠QPR=12(60°)
Simplify.
m∠QPR=30°
The figure shows the same circle as in the beginning of the task. Triangle P R S is highlighted in red. Angle S P R measures 30 degrees.
It is given that m∠SRP=30°. Use the Triangle Sum Theorem to find the measure of the unknown ∠PSR.
m∠SRP+m∠SPR+m∠PSR=180°
Substitute the known values.
30°+30°+m∠PSR=180°
Simplify.
60°+m∠PSR=180°
Subtract 60° from both sides.
m∠PSR=120°
Therefore, m∠PSR=120°.
To make 100g of jam you need 41g of strawberries, 29g of blackberries and the rest should be sugar. What is the ratio of blackberries to sugar? Give your answer in its simplest form.
Answer:
The ratio is 29:30
Step-by-step explanation:
First, we need to calculate the mass of sugar in the mix
That would be 100-41-29 = 100-70 = 30g
So the ratio of blackberry to sugar would be mass of the blackberry : mass of sugar
From the question, mass of blackberry = 29g while the mass of sugar = 30g
Mass of blackberry to mass of sugar = 29:30
HELP PLEASE ASAP!!!!
Adult Golden Retrievers have a mean weight of 64 pounds with a standard deviation of 8 pounds. If you take a random sample of 35 gold retrievers, what is the probability the sample mean will be less than 65.5 pounds?
0.8643
0.1357
0.8665
0.1335
Answer:
Step-by-step explanation:
Let x be the random variable representing the mean weight of Adult Golden Retrievers. Assuming the weights are normally distributed(number of samples is greater than 30), we would apply the formula,
z = (x - µ)/(σ/√n)
Where
x = sample mean
µ = population mean
σ = standard deviation
n = number of samples
From the information given,
µ = 64
σ = 8
n = 35
the probability that the sample mean will be less than 65.5 pounds is expressed as
P(x < 65.5)
For x = 65.5,
z = (65.5 - 64)/(8/√35) = 1.11
Looking at the normal distribution table, the probability corresponding to the z score is 0.8665
Therefore, the probability that the sample mean will be less than 65.5 pounds is 0.8665
The average of two numbers is 7, and three times the difference
between them is 18. Find the numbers. use the simultaneous equation plz guys
Answer:
10 & 4
Step-by-step explanation:
Let the numbers are a and b.
Their average = 7
= > ( a + b ) / 2 = 7
= > a + b = 2 * 7 = 14 ...( 1 )
Also,
= > 3 times of difference between a and b = 18
= > 3( a - b ) = 18
= > a - b = 6 ... ( 2 )
adding ( 1 ) & ( 2 ) :
= > ( a + b ) + ( a - b ) = 14 + 6
= > 2a = 20
= > a = 10
Thus,
= > a + b = 14 → 10 + b = 14
= > b = 14 - 10 = 4
at which root does the graph of f(x)=(x+4)^6(x+7)^5 cross the x-axis ?
Answer:
-7
Step-by-step explanation:
The equation is simplified so there are two possible answers here, -4 and -7
There is a root where y = 0 and x = a number
At -4 and -7 y = 0
However at -4 the function bounces since the (x+4) is raised to the 6th power.
When you have an even power, the function bounces at the x-axis, and when you have an odd power the function goes through the x-axis.
Since you can only choose one answer, the logical answer would be -7.
At x = -7, y = 0 and the function crosses the x-axis.
At x = -4, y = 0 but the function bounces on the x-axis.
The logical answer here is -7.
The graph crosses the x-axis at x = -7
RootsThe roots of a function are the zeros of the function
The function of the graph is given as:
[tex]f(x) =(x+4)^6(x+7)^5[/tex]
EquationIn the above equation, the roots of the functions and their corresponding multiplicities are:
Root: -4, Multiplicity: 6Root: -7, Multiplicity: 5x-axisThe graph will cross the x-axis, when the multiplicity is odd
The root, -7 has an odd multiplicity.
Hence, the graph crosses the x-axis at x = -7
Read more about roots and multiplicities at:
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In a local city, the temperature at noon is Negative 3 degrees Celsius. The temperature is expected to decrease by 2.5 degrees Celsius each hour until the temperature reaches Negative 18 degrees Celsius. How many hours will it take for the temperature to reach Negative 18 degrees Celsius? 6 hours 7 hours 7.2 hours 8.4 hours
Answer:
6
Step-by-step explanation:
It takes 6 hours to reach -18°C. Therefore, option A is the correct answer.
Given that, the temperature at noon=-3°C, every hour temperature decreased by -2.5°C.
How do multiply whole numbers and decimals?Multiplying Decimals has the same procedure as that of multiplication of the whole numbers, except for the placement of the decimal point in the product.
Now, every hour temperature decreases by -2.5°C, we need to find how many hours it takes to -18°C.
So, -2.5×6=-15°C
Then, final temperature=initial temperature+increased temperature.
=-3°C+(-15°C)=-18°C
Therefore, option A is the correct answer.
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PLZ HELP! Joel rolls two fair number cubes at the same time. What is the probability that the sum of the numbers will be odd or less than 4? Show your work.
Answer:
Joel rolls two fair number cubes at the same time.
Each cube has six sides 1, 2, 3, 4, 5, 6
=> There are 6 x 6 = 36 possible pairs (or 36 possible sums)
The collection of pairs that have sum less than 4 includes (1, 2), (2, 1) and (1, 1) => 3 cases (*)
The sum that is odd when two cubes show one odd number and one even number. Therefore each side of first cube has 3 options from second cube to form an odd sum. => The total number of cases: 6 x 3 = 18 cases
In these 18 cases, there are two cases (1, 2) and (2, 1) which have been counted already at (*) => Total case that the sum of the numbers will be odd or less than 4: T = 3 + 18 - 2 = 19 cases
=> Probability that the sum of the numbers will be odd or less than 4:
P = 19/36 = 0.53
Hope this helps!
:)
Please help I don’t understand this
Answer: 25 hours
Step-by-step explanation:
Let r = rate, t = time
From 1st sentence,
5r x 12 = 3
60r = 3
r = 3/60 = 1/20
From the next,
4r x t = 5
4 x 1/20 x t = 5
4/20t = 5 = 25
people. Houses Hours
5. 3 12
4. 5. ?
Cross multiply and get the reciprocal
4*3/5*5/12
12/25 *1/12
= 25
what expression is equal to (3d^4)^2
Answer:
Simplify the expression using the rules of exponents.
9d^8
Step-by-step explanation:
answer is 9d^8
Please help very easy.
Write an equation for "there are 20 more chickens than rabbits and together there are 256"
Answer:
20+r +r = 256
Step-by-step explanation:
Let r = rabbits
c = chickens
c = 20 +r since there are 20 more chickens than rabbits
Together there are 256
c+r = 256
Replacing c with 20+r
20+r +r = 256
Please please please help me!
Answer: 37.68 feet.
Step-by-step explanation:
To find the diameter of a circle, use the equation:
C = 2 * pi * r, where r is the radius of the circle.
The diameter is 12 feet, and the radius is 6 feet.
C = 12 * pi
C = 37.68 feet.
10.) A study recorded the reactions of 186 polar
bears as they were approached by a tundra
buggy. Some bears did not appear to respond,
while others responded by sitting, standing,
walking away, or running away. There were 94
more bears that did not respond than did
respond. How many bears responded and how
many bears did not respond?
the answer is 94 bears reponded and 92 did not II thnk
Write this equation in slope-intercept form. y - 3 = 5(x +
3)
Answer:
y = 5x+18
Step-by-step explanation:
y - 3 = 5(x + 3)
Distribute
y -3 = 5x+15
Add 3 to each side
y - 3+3 = 5x + 15 +3
y = 5x+18
This is slope intercept form (y = mx+b) where m is the slope and b is the y intercept
