Answer:
= 16
Step-by-step explanation:
Simplify \frac{5}{20}
20
5
to \frac{1}{4}
4
1
.
\frac{4}{r}=\frac{1}{4}
r
4
=
4
1
2 Multiply both sides by rr.
4=\frac{1}{4}r4=
4
1
r
3 Simplify \frac{1}{4}r
4
1
r to \frac{r}{4}
4
r
.
4=\frac{r}{4}4=
4
r
4 Multiply both sides by 44.
4\times 4=r4×4=r
5 Simplify 4\times 44×4 to 1616.
16=r16=r
6 Switch sides.
r=16r=16
A cylinder has a radius of 12 m and a height of 9 m. what is the exact volume of the cylinder? responses 108π m³ 108 pi, m³ 216π m³ 216 pi, m³ 972π m³ 972 pi, m³ 1296π m³
The volume of cylinder based on the dimensions of radius and height is 1296π m³.
The volume of cylinder can be calculated by the formula -
V = πr²h, where V refers to volume of the cylinder, r is the radius of the cylinder and h is the height of the cylinder.
Now, keeping the value of the dimensions in the formula to find the volume of cylinder.
V = π × 12² × 9
Taking square and performing multiplication on Right Hand Side of the equation
V = 1296π m³
Note that we have not kept the value of π in the formula to find the exact correct answer. Thus, the volume of 1296π m³.
Learn more about volume -
https://brainly.com/question/463363
#SPJ4
In 1933, Wiley Post flew around the world in 7 days, 18 hours. Wiley's trip would best
be described as flying around the
of the earth.
a. perimeter
b. area
c. volume
d. diameter
∑ Hey, Canle ⊃
Answer:
(A) Perimeter
Step-by-step explanation:
Given:
In 1933, Wiley Post flew around the world in 7 days, 18 hours. Wiley's trip would best
be described as flying around the
of the earth.
a. perimeter
b. area
c. volume
d. diameter
Solution:
Let's first define each answer choices:
Perimeter - the distance around the object.
Area - total space taken up by a flat (2-D) surface or shape of an object
Volume- amount of three-dimensional space occupied by an object or a closed surface.
Diameter - a straight line that runs from one side of a figure and passes through the center
From what we define above I would say Perimeter.
Because Earth is round as well as Wiley Post flying around earth. Hence, the best answer is (A) Perimeter - the distance around the object.
xcookiex12
8/22/2022
You stand 1.55 m in front of a wall and gaze downward at a small vertical mirror mounted on it. In this mirror you can see the reflection of your shoes.
If your eyes are 1.95 m above your feet, through what angle should the mirror be tilted for you to see your eyes reflected in the mirror? (The location of the mirror remains the same, only its angle to the vertical is changed.)
To see your eyes reflected in the mirror, the mirror needs to be tilted at an angle of 33.02°.
Given,
You look down at a little vertical mirror hanging on the wall as you are standing 1.55 meters in front of it. You may see your shoes reflected in this mirror. How far should the mirror be slanted for you to see your eyes mirrored if your eyes are 1.95 meters above your feet? (The mirror is still in the same place, but its angle to the vertical has changed.)
Now, by assuming we have,
The height at which the eyes are above the feet y = 1.95
The distance between the person and wall x = 1.55
From a triangle,
tan∅ = (y/2) / x
tan∅ = (1.95/2) / 1.55
∅ = 33.02°
Hence, the mirror should be tilted for you to see your eyes reflected in the mirror by an angle of 33.02°.
To learn more about height click here:
brainly.com/question/10726356
#SPJ4
Someone Please explain how to do this. HURRY
A golf ball has a diameter of 42.67 millimeters and a mass of 45.93 grams.what is the number of grams per cubic millimeter of the material used to make the golf ball?
The density of golf ball is 0.000113 gm/mm³
What is volume ?
Volume is a three dimensional space occupy by the body of particular shape such as here :
volume (V) of sphere with radius r : 4πr³/3
it is given that :
golf ball has a diameter d of = 42.67 millimeters
r = d/2 = 21.33 mm
golf ball has a mass m of = 45.93 grams
First, let us find the volume of the golf ball can be determined using the formula:
V = 4πr³/3
Substituting r = 21.33mm, we get;
V = 4π(21.33)³/3
V = 40650 mm³
Now, to find the number of grams per cubic millimeter of the material used to make the golf ball we find the density of golf ball :
ρ = m/V
ρ = 45.93/40650
ρ = 0.000113 gm/mm³
Therefore, the density of golf ball is 0.000113 gm/mm³
Learn more about volume here:
brainly.com/question/16017437
#SPJ2
Which is 5log x - 6log (x - 8) written as a single logarithm?
Answer:
log[x⁵/(x-8)⁶]
Step-by-step explanation:
5log(x) - 6log(x-8)
log(x⁵) - log((x-8)⁶)
log[x⁵/(x-8)⁶]
Three tickets to attend an Off-Broadway show cost $81, 4 tickets cost $108, and 5 tickets cost $135. Show that the relationship between number and the cost is a proportional relationship by making a table of tickets for 1 to 5 tickets. Show your work. Number of Tickets 1 2 3 4 5 Total Cost ($) What is the constant of proportionality, k? Write and Equation for the relationship. (Remember to state what the variables represent)
Answer:
k=27y=27xStep-by-step explanation:
3 tickets to attend an Off-Broadway show cost $81,
4 tickets cost $108; and
5 tickets cost $135.
Let the price of a ticket=k
Therefore:
3k=814k=1085k=135Solving any of the equation above gives: x=27
We therefore have:
\(\left|\begin{array}{c|c|c|c|c|c}$Tickets&1&2&3&4&5\\$Total Cost(\$)&27&54&81&108&135\end{array}\right|\)
Let y be the total cost of x tickets
From the above, the constant of proportionality, k=27An equation for the relationship is therefore:
y=27x (where x is the number of tickets and y is the total costs (in $)).
Brigid is picking strawberries at the Pick-Your-Own Farm. Her goal is to pick 5 bushels of strawberries. She has already picked 1
1
2
bushels, and she picks at a rate of
5
8
bushel per hour. The scenario is represented as
5
8
h + 1
1
2
= 5, where h is the number of hours she picks. How many more hours will it take Brigid to fill 5 bushels of strawberries?
2 and StartFraction 3 Over 16 EndFraction hours
2 and StartFraction 3 Over 16 EndFraction hours
5 and three-fifths hours
10 and two-fifths hours
Answer:
We can start by isolating the variable "h".
5 8 h + 1 1 2 = 5
Subtracting 11/2 from both sides:
5 8 h = 5 - 1 1 2
Simplifying:
5 8 h = 8 1 2
Dividing both sides by 5/8:
h = 8 1 2 ÷ 5 8
Converting the mixed number to an improper fraction:
h = (8 x 8 + 1) ÷ 5 8
h = 65/8
Now, we can convert this fraction to a mixed number:
h = 8 1/8
Brigid has already picked for 8 1/8 hours, so the amount of time needed to pick the remaining strawberries is:
5 - (1 1/2 + 5/8 x 8) = 5 - (3 5/8) = 1 3/8
Therefore, Brigid still needs to pick for 1 3/8 hours to fill 5 bushels of strawberries. The answer is 1 and 3/8 hours or 2 and 3/16 hours (if simplified).
Step-by-step explanation:
Wendy spends 3/5 of her money on 3 bowls and 8 plates. With the rest of your money, you can buy another 6 bowls. If you spend all your money just on plates, how many plates can you buy?
answer: 16 plates
I apologize if this is an incorrect answer,however, I believe that the fraction was added to throw you off. so if you divide the number of bowls you get 2 and then you multiply 8 by 2
If you spend all your money just on plates. Then the number of plates that you can buy will be 20.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
Wendy spends 3/5 of her money on 3 bowls and 8 plates. With the rest of your money, you can buy another 6 bowls.
Let 'x' be the cost of each bowl, 'y' be the cost of each plate, and 'T' be the total amount of money. Then the equations are given as,
3x + 8y = (3/5) T ...1
6x = (2/5) T
x = (1/15) T ...2
From equations 1 and 2, then the cost of each plate is calculated as,
3(1/15)T + 8y = (3/5)T
8y = 2/5
y = (1/20)T
If you spend all your money just on plates. Then the number of plates that you can buy will be given as,
⇒ T / (T / 20)
⇒ 20
More about the solution of the equation link is given below.
https://brainly.com/question/545403
#SPJ2
please help 10 points
Answer:
3/3
Step-by-step explanation:
Divide by 2 each time to find the simplest form until they can't be divided into a whole number. 24÷2=12÷2=6÷2=3
12÷2=6÷2=3
Graph the system of linear inequalities.
y > 3x + 2
y ≤ 3x − 4
\(y > 3 \times 2 \\ solve \: for \: y \\ y > 6 \\ ye \: {6 + \infty }\)
Sorry that's all i know
that is in my answer#carryonlearning:-D4z + 5 = -3z - 8
Z =
Answer:
\(z = - \frac{13}{7} \)
Step-by-step explanation:
1) Add 3z to both sides.
\(4 z+ 5 + 3z = - 8\)
2) Simplify 4z + 4 + 3z to 7z + 5.
\(7z + 5 = - 8\)
3) Subtract 5 from both sides.
\(7z = - 8 - 5\)
4) Simplify -8-5 to -13.
\(7z = - 13\)
5) Divide both sides by 7.
\(z = - \frac{13}{7} \)
Therefore, the answer is z = - 13/7.
Stu hiked a trail at an average rate of 3 miles per hour. He ran back on the same trail at an average rate of 5 miles per hour. He traveled for a total of 3 hours.
The equation 3t = 5(3 – t) can be used to find the time it took Stu to hike one way.
How long did it take Stu to hike the trail one way?
hours
How long is the trail?
miles
What is the total distance Stu traveled?
miles
This histogram shows the number of peanuts per bag of trail mix. Choose ALL statements about the data that are true? A) The most common range of peanuts per bag is 30-39. B) There are more bags with 10-19 peanuts than 40-49. C) The least common range of peanuts per bag is 10-19. D) The ranges with the same number of bags are 10-19 and 40-49. E) The ranges with the same number of bags are 20-29 and 50-59.
Answer:
A), C), E)
Step-by-step explanation:
Yaqub has a bag only containing green and yellow pins
3/7 of the pins are green
He picks out a green pin from his bag and gives it to his sister
2/5 of the remaining pins in his bag are green
how many of the remaining pins in his bag are green and how many are yellow
The answer is that there are 8 green pins and 12 yellow pins remaining in the bag after Yaqub gives a green pin to his sister.
Describe Probability?Probability is a branch of mathematics that deals with the study of random events or phenomena. It is used to measure the likelihood or chance of an event occurring. Probability is represented as a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event.
The probability of an event is calculated by dividing the number of favorable outcomes by the total number of possible outcomes. For example, if a fair coin is flipped, the probability of getting heads is 1/2, since there is one favorable outcome (heads) out of two possible outcomes (heads or tails).
There are two main types of probability: theoretical probability and empirical probability.
Theoretical probability is based on mathematical calculations and assumes that all outcomes are equally likely. For example, the theoretical probability of rolling a six on a fair die is 1/6, since there is one favorable outcome out of six possible outcomes.
Empirical probability is based on observations and experiments and reflects the actual frequency of an event occurring. For example, the empirical probability of rolling a six on a particular die after many rolls may be different from the theoretical probability due to factors such as bias or chance.
Probability is used in many real-life situations, such as in games of chance, insurance, stock market analysis, and weather forecasting. It is also used in various fields of science, such as physics, biology, and chemistry, to model and analyze the behavior of complex systems.
Let's start by using algebra to represent the information given in the problem.
Let G be the number of green pins in the bag, and Y be the number of yellow pins in the bag. We know that:
G + Y is the total number of pins in the bag.
G/(G + Y) = 3/7, since 3/7 of the pins are green.
(G - 1)/[(G - 1) + Y] = 2/5, since after Yaqub gives a green pin to his sister, there are (G - 1) green pins remaining out of (G - 1 + Y) total remaining pins.
To solve for G and Y, we can use algebra to manipulate the equations:
G/(G + Y) = 3/7 can be simplified to 7G = 3(G + Y), which gives us 4G = 3Y.
(G - 1)/[(G - 1) + Y] = 2/5 can be simplified to 5(G - 1) = 2(G - 1 + Y), which gives us 3G - 2Y = 3.
We now have two equations with two variables, so we can solve for G and Y using substitution or elimination. For simplicity, we will use substitution.
From 4G = 3Y, we can solve for Y in terms of G:
Y = (4/3)G
Substituting this into 3G - 2Y = 3, we get:
3G - 2(4/3)G = 3
Simplifying, we get:
G = 9
Therefore, there are 9 green pins in the bag. Using the equation Y = (4/3)G, we get:
Y = (4/3)(9) = 12
So there are 12 yellow pins in the bag. After giving one green pin to his sister, Yaqub has 8 green pins and 12 yellow pins remaining in his bag. To check that 2/5 of the remaining pins are green, we can calculate:
8/(8+12) = 4/10 = 2/5
Therefore, the answer is that there are 8 green pins and 12 yellow pins remaining in the bag after Yaqub gives a green pin to his sister.
To know more about equation visit:
https://brainly.com/question/12788590
#SPJ1
(4 x 10^-10) (3 x 10^4)
Answer:
1.2 * 10^-5 or 0.000012
Step-by-step explanation:
Use commutative property to reorder the terms
Multiply the terms
Multiply the terms with the same base by adding their exponents
Calculate the sum
Write the number in scientific notation
1.2 * 10^-5 or 0.000012
Please help meeh thank u thank u
Answer:
The location would be between 4 and 5.
Step-by-step explanation:
The square root of 19 would be around 4.3. So you would put a mark between the two lines that are in between the 4 and 5.
A tortoise is walking in the desert. It walks for 12.5 meters at a speed of 5 meters per minute. For how many minutes does it walk?
What is another word that describes the zeros of a quadratic function.
A different term for a quadratic function's zeros is "roots." The zeros or roots of a quadratic function are the points on the x-axis where the function meets or crosses it.
They stand in for the x values at which the quadratic function equals zero. Depending on the discriminant of the quadratic equation, the zeros or roots of a quadratic function can either be real or complex integers. The quadratic has two unique real roots if the discriminant is positive. The quadratic has a single real root, also referred to as a double root or repeating root, if the discriminant is zero. The quadratic has two complex roots that can be represented as a + bi if the discriminant is negative.
learn more about quadratic here :
https://brainly.com/question/22364785
#SPJ11
Chase has a $42,500 line of credit which charges an annual percentage rate of prime rate plus 5%. His starting balance on June 1 was $2,550. On June 4, he borrowed $5,300. On June 9, Chris made a payment of $800, and on June 17, he borrowed $5,600. If the current prime rate is 10%, what is his new balance?
The best interest rate which banks can charge a customer is the prime rate.
His new balance is $12,735.291\(\overline 6\)Reasons:
The Annual Percentage Rate, APR = Prime + 5%
∴ APR = 10% + 5% = 15%
\(\displaystyle The \ periodic \ rate = \frac{15}{12} = 1.25 \%\)
The balance on June 1 = $2,550
Daily balance, June 1 — 3 = $2,550 × 3 = $7,650
June 4 borrowed $5,300
The new unpaid balance = $2,550 + $5,300 = $7,850
Daily balance from June 5 — 8 = $7,850 × 3 = $23,550
Chris made payment on June 9
Unpaid balance = $7,850 - $800 = $7,050
Daily balance from June 9 — 16= $7,050 × 8 = $56,400
June 17 borrowed $5,600
Unpaid balance = $7,050 + $5,600 = $12,650
Daily balance June 17 — 30 = $12,650 × 14 = $177,100
Sum of daily balance = 7,650 + 23,550 + 56,400 + 117,100 = 204,700
\(\displaystyle Average \ daily \ balance = \frac{204,700}{30} = 6,823.\overline 3\)
Finance charge = Average daily balance × Periodic rate
∴ Finance charge = $6,823.\(\overline 3\) × 0.0125 = $85.291\(\overline 6\)
New balance = Cash advance + Credits and payment + Previous balance + Finance charge
New balance = $2,550 + $5,300 - $800 + $5,600 + $85.291\(\overline 6\)
= $12,735.291\(\overline 6\)
Learn more here:
https://brainly.com/question/1420581
PLEASE HELPPPPPPPPPPPPP!!!!!!!! 10 POINTS
answer: 58% ?? if I'm wrong I am sorry
as discussed in class, if on any given day the dallas water district took 50 water samples can conducted the mpn tests. on that day the presumptive water tests at the water purification plant showed the following results: 97% of the water samples tested were free of any coliform bacteria. the remaining 3% of the samples had no more than 1 coliform per sample. what does this mean for you the consumer?
According to the EPA Clean Water Act regulations, all of the water that day is safe to drink.
To safeguard the standard of drinking water in the United States, the Safe Drinking Water Act (SDWA) was created. This legislation applies to all waters that are now or conceivably intended for consumption, whether they originate from above-ground or subsurface sources.
The Act mandates that all owners or operators of public water systems adhere to these fundamental (health-related) criteria and gives EPA the authority to set minimum standards to safeguard tap water.
The 1996 modifications to the SDWA mandate that while setting these criteria, EPA takes into account a thorough risk and cost evaluation as well as the finest peer-reviewed science.
The attainment of secondary standards is also encouraged by state governments, which may be authorized to implement these EPA regulations.
In accordance with the Act, EPA also establishes minimum requirements for state programs to safeguard underground water sources from being endangered by fluid injection underground.
To learn more about this problem:
https://brainly.com/question/2080178
#SPJ4
in a basket of red and green apples, green apples are only 1/3 as common as red apples. if there are 60 apples in total, how many are green? you answered 20, which is incorrect.
If there are 60 apples in total, then green are 15 .
Given:
in a basket of red and green apples, green apples are only 1/3 as common as red apples.
if there are 60 apples in total, how many are green = ?
x is the number of red apples
y is the number of green apples
x/3= y;
x=3y
x+y= 60
3y+y=60;
4y=60;
that means y=60/4
y = 15
Hence there are 15 green apples.
Learn more about Linear equations here:
brainly.com/question/2030026
#SPJ4
An aquarium measures 61 cm long, 30.5 cm wide, and 30.5 cm high.If the tank is only filled to 80% capacity with water, how much water is needed for this tank? Round your answer to the nearest tenth if necessary. .
Answer:
\(V=45396.2\ cm^3\)
Step-by-step explanation:
Given that,
The dimensions of an aquarium are 61 cm long, 30.5 cm wide, and 30.5 cm high.
The tank is filled to 80% capacity with water.
We need to find the water needed for this tank.
The volume of cuboid is given by :
\(V=lbh\)
As it is filled to 80% capacity, so,
\(V=\dfrac{80}{100}\times lbh\\\\=0.8\times 61\times 30.5\times 30.5\\\\V=45396.2\ cm^3\)
So, \(45396.2\ cm^3\) of water is needed for this tank.
a manufacturer has nine distinct motors in stock, two of which came from a particular supplier. the motors must be divided among three production lines, with three motors going to each line. if the assignment of motors to lines is random, find wackerly, dennis; mendenhall, william; scheaffer, richard l.. mathematical statistics with applications (p. 50). cengage textbook. kindle edition.
the probability that both motors from the particular supplier are assigned to the first line is approximately 0.0833 or 8.33%.
To find the probability that both motors from the particular supplier are assigned to the first line, we can consider the total number of possible outcomes and the number of favorable outcomes.
Total Number of Outcomes:
The total number of ways to divide the nine distinct motors equally among the three production lines can be calculated using combinatorics. Since each line receives three motors, we can use the combination formula to determine the total number of outcomes:
Total Number of Outcomes = C(9, 3) * C(6, 3) * C(3, 3)
Number of Favorable Outcomes:
To have both motors from the particular supplier assigned to the first line, we need to select those two motors from the two motors supplied by the particular supplier and one more motor from the remaining seven motors. This can be calculated using the combination formula:
Number of Favorable Outcomes = C(2, 2) * C(7, 1) * C(6, 3) * C(3, 3)
Now, we can calculate the probability by dividing the number of favorable outcomes by the total number of outcomes:
Probability = Number of Favorable Outcomes / Total Number of Outcomes
Substituting the values into the formula:
Probability = (C(2, 2) * C(7, 1) * C(6, 3) * C(3, 3)) / (C(9, 3) * C(6, 3) * C(3, 3))
Simplifying the expression:
Probability = (1 * 7 * 20 * 1) / (84 * 20 * 1)
Probability = 7 / 84
Probability ≈ 0.0833
Therefore, the probability that both motors from the particular supplier are assigned to the first line is approximately 0.0833 or 8.33%.
Learn more about probability here
https://brainly.com/question/31828911
#SPJ4
Complete question is below
A manufacturer has nine distinct motors in stock, two of which came from a particular supplier. The motors must be divided among three production lines, with three motors going to each line. If the assignment of motors to lines is random, find the probability that both motors from the particular supplier are assigned to the first line.
Lee Jenkins worked the following hours as a manager for a local Pizza Hut 5 4/1,9 4/3,7 4/3 and 8 4/3. How many total hours did Lee work?
Lee Jenkins worked the following hours as a manager for a local Pizza Hut 5 4/1, 9 4/3, 7 4/3 and 8 4/3.
Now, the above-mentioned hours are not in the proper form that we are required to calculate. Therefore, we need to change them into the proper format .In order to add these hours, we must first convert the hours and minutes to the same format.
We'll need to convert each fraction to a common denominator of 3x3=9. 5 4/1 in the mixed format is 5 + 4/1,
which is equal to 9. 9 4/3 in the mixed format is 9 + 4/3,
which is equal to 10 1/3.7 4/3 in the mixed format is 7 + 4/3,
which is equal to 8 1/3.8 4/3 in the mixed format is 8 + 4/3,
which is equal to 9 1/3.Now that we've converted the times,
we can add them together to get a total of 36 1/3 hours.
Therefore, Lee worked for 36 1/3 hours. the total number of hours Lee worked as a manager for the local Pizza Hut is 36 1/3 hours.
To know more about manager visit:-
https://brainly.com/question/32150882
#SPJ11
length of 'center' must equal the number of columns of 'x'T/F
The statement "Length of 'center' must equal the number of columns of 'x'" is generally false. The length of the 'center' variable does not necessarily need to equal the number of columns of 'x'.
The requirement for the length of 'center' depends on the specific context or purpose of its usage in relation to 'x'. In some cases, 'center' may represent a vector or an array containing the central values or positions of a dataset or matrix. In such cases, the length of 'center' would typically match the dimensionality of the dataset or matrix, which would correspond to the number of rows or columns in 'x'. However, there can be situations where 'center' represents something else entirely, such as a single value or a different set of values unrelated to the dimensions of 'x'. Therefore, it is not a general rule that the length of 'center' must always equal the number of columns of 'x'. The specific requirements and relationships between 'center' and 'x' would depend on the specific context and purpose of their usage.
Learn more about dimensions here:
https://brainly.com/question/31106945
#SPJ11
Cherries are $2.00/ pound what is the constant of proportionality
Answer:
$2 price per pound
2 is the constant of proportionality
Step-by-step explanation:
Price of Cherries = $2 per pound
what is the constant of proportionality
If y = total cost of buying x pounds of Cherries at $2 per pound
The equation below represent the situation
y = $2 * x
y = 2x
The constant of proportionality is 2
That is, the $2 price per pound
Of the songs in Brianna's music library, 1/3 are rock songs. Of the rock songs, 7/10 feature a guitar solo. What fraction of the songs in Brianna's music library are rock songs that feature a guitar solo?
Answer:
7/30 of her music library
Step-by-step explanation:
We are looking for 7/10 of 1/3. In this case this "of" means we will multiply the two fractions. To multiply fractions, we multiply
top × top
and
bottom × bottom
1/3 × 7/10
is 1×7 on top, and
3×10 on the bottom.
= (1×7)/(3×10)
= 7/30
7/30 cannot be simplified, so that is the answer.
A nutritionist at a school is planning a schedule of breakfasts for 175 students. 73 students say they want milk, 97 want juice, and 60 want fruit. 19 say they want both milk and fruit; of these 11 want juice as well. 34 want only milk and 36 want only fruit. How many students want juice only?