Final answer:
There are two portions of two-fifths in four-fifths; this is determined by dividing four-fifths by two-fifths, which simplifies to 2.
Explanation:
The student is asking how many portions of two-fifths fit into four-fifths. This is a basic division problem, which we can solve by dividing four-fifths [tex](\frac{4}{5})[/tex] by two-fifths ([tex]\frac{2}{5}[/tex]). The division of fractions is performed by multiplying the first fraction by the reciprocal of the second fraction.
To find the reciprocal of two-fifths ([tex]\frac{2}{5}[/tex]), we flip the numerator and denominator, resulting in five-halves ([tex]\frac{5}{2}[/tex]). Next, we multiply four-fifths ([tex](\frac{4}{5})[/tex]) by five-halves ([tex]\frac{5}{2}[/tex]).
[tex]\frac{4}{5} \times \frac{5}{2}[/tex] = [tex]\frac{4 \times 5}{5 \times 2}[/tex] = [tex]\frac{20}{10}[/tex] = 2
Therefore, there are two two-fifths in four-fifths.
A movie ticket cost me $5.60 after a 20% coupon. What was the original price of the ticket?
Answer:
7.00
Step-by-step explanation:
discount = original price *20%
final price = original price - discount
Substituting the equation for discount
final price = original price - original price*20%
Factoring out the original price
final price = original price (1-20%)
Changing to decimal form and putting the final price
5.60 = original price (1-.2)
5.60 = original price (.8)
Divide by each side by .8
5.6/.8 = original price (.8)/.8
7 = original price
What the distance between (2,1) and (-5,8)
Answer:
[tex]\sqrt{98}[/tex] or 9.89949
Step-by-step explanation:
use the distance formula
d=[tex]\sqrt{(x_{2}-x_{1} )^{2} +(y_{2}-y_{1})^{2} }[/tex]
d=[tex]\sqrt{(-5-2)^{2}+(8-1)^{2} }[/tex]
d=[tex]\sqrt{(-7)^{2} +(7)^{2} } \\\\\sqrt{49+49}[/tex]
d=[tex]\sqrt{98}[/tex] or 9.89949
what does m equal in this equation, m-7=17
Answer:
Given
m - 7 = 17
m = 17 +7
Therefore m = 24
Answer:
m=24
Step-by-step explanation:
Since m-7=17
We are to find the value of m
And this can be done by making m the subject of formula
So m-7=17
Add 7 to both sides
m=17+7
m=24
Therefore m is 24
Find the greatest common factor of 12 w' and 8w
Answer:4w
Step-by-step explanation:
To find the greatest common factors of 12w and 8w
Using product of prime factor we get
12w=2×2×3×w
8w=2×2×2×w
Common factors
=2×2×w
=4w
Answer:
4w.
Step-by-step explanation:
12w and 4w:
The GCF of 12 and 8 = 4.
So the answer is 4w.
can someone pls solve this for me
Given:
m∠WYX = 20°
m∠XYZ = 135°
To find:
The measure of arc WXZ.
Solution:
m∠WYZ = m∠WYX + m∠XYZ
m∠WYZ = 20° + 135°
m∠WYZ = 155°
The measure of inscribed angle is half of the intercepted arc.
[tex]$\Rightarrow m \angle WYZ = \frac{1}{2} m (ar WXZ)[/tex]
[tex]$\Rightarrow 155^\circ = \frac{1}{2} m (ar WXZ)[/tex]
Multiply by 2 on both sides.
[tex]$\Rightarrow 2\times 155^\circ = 2 \times \frac{1}{2} m (ar WXZ)[/tex]
[tex]$\Rightarrow 310^\circ = m (ar WXZ)[/tex]
The measure of arc WXZ IS 310°.
Exponential functions increase rapidly how would you describe the behavior of an inverse function to that
The exponential functions have the form f(x) = bˣ where b> 0 and b≠0.
Step-by-step explanation:
Exponential function is given in the form of f(x)= bˣ
When working with the inverse of a function, the inputs (x) and outputs(y) exchange their places and the inverse will be the reflection over the identity line y= x
The example of exponential function is the growth of bacteria. If you start with 1 bacterium and it doubles every hour, you will have 2x bacteria after x hours and it is written as f(x) = 2x.
The exponential function will be bigger than the polynomial and it always have the positive number other than 1 as the base.
The instantaneous rate of change of a quantity with respect to time is proportional to the quantity by itself.
In the below figure what is the value of ∠QPR, in degrees, if ∠SPQ is a straight line? The measure of a straight angle is 180 degrees.
Answer:
180
Step-by-step explanation:
spr is one line and qp is another in a perpendicular position
∠QPR has a measure of 61°
What is a linear pair?A linear pair of angles is formed when two lines intersect at a single point. Angles are referred to as linear if they follow the intersection of the two lines in a straight line. The sum of the angles in a pair of linear equations is always 180°.
As per the given data:
From a horizontal line, a line is drawn such that it forms 2 angles, one ∠SPR = 119 degrees and one ∠QPR.
We have to find out the value of ∠QPR.
As the line is drawn from a horizontal line, it forms a linear pair.
From the linear pair property, the sum of the angles must be equal to 180 degrees as the line is horizontal.
After using the aforementioned property:
∠SPR + ∠QPR = 180°
119 + ∠QPR = 180
∠QPR = 180 - 119
∠QPR = 61°
Hence, The measure of angle ∠QPR is 61 degrees.
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(The given question is incomplete, the complete question is given below)
6. Under what circumstances would it be better for you to work at Burger Bistro, and under what circumstances would it be better for you to work at Cheeseburger City? Please be specific in your answer.
Answer:
Burger Bistro would be better at 8+ hours. Cheeseburger City would be better at 1-7 hours.
Step-by-step explanation:
Answer:
If you were working either 8-12 hours a day it would be better to work at Burger Bistro. If you multiply 8 by $8 you will get $64 which is more pay then cheese burger city.
Alice is making an octahedron out of origami. The last step requires her to blow into the octahedron to fill it up.
A square pyramid on top of an upside down square pyramid the same size. The length of each side of the square base is a and the height of each pyramid is b.
Which expression represents the volume of air she will need to inflate the octahedron?
A. 23a2b2
B. 23ab2
C. 23−a2b
D. 23a2b
Answer:a negative equals a positive so I do believe the answer would be c
Step-by-step explanation: and also the girls who is fine said it.
The volume inside will be 2/3a²b.
What is volume?Volume is defined as the space occupied within the boundaries of an object in three-dimensional space.
Given that, A square pyramid on top of an upside down square pyramid the same size. The length of each side of the square base is a and the height of each pyramid is b.
The volume of octahedron will be the sum of volumes of both the pyramid.
Volume of pyramid = base area*h/3
Volume = a²b/3+a²b/3 = 2/3a²b
Hence, The volume inside will be 2/3a²b.
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estimate the following difference by replacing each fraction with 0, 1/2 or 1.
7/8 - 6/11
drag numbers to the boxes to complete your answer. numbers may be used more than once or not at all.
1, 1/2, 0, 1/4, 1/8, 2
The estimated difference is [tex]\( \frac{1}{2} \).[/tex]
To estimate the difference [tex]\( \frac{7}{8} - \frac{6}{11} \)[/tex] by replacing each fraction with 0, 1/2, or 1, let's break it down:
For [tex]\( \frac{7}{8} \):[/tex]
- [tex]\( \frac{7}{8} \)[/tex] is close to 1 since it's almost a whole.
For [tex]\( \frac{6}{11} \):[/tex]
- [tex]\( \frac{6}{11} \)[/tex] is close to 1/2 since it's a bit more than half.
So, we have:
[tex]\( 1 - \frac{1}{2} = \frac{1}{2} \)[/tex]
Therefore, the estimated difference is [tex]\( \frac{1}{2} \).[/tex]
Mike purchased a round wall clock the clocks radius is 10m what is the circumference of the clock
Answer:
62.8 m
Step-by-step explanation:
The circumference of the clock is the circumference of a circle which is given by
2 Pi r
Where
Pi = 3.14
Radius r = 10m
Therefore
Circumference = 2 x 3.14 x 10
= 62.8 m
The circumference of the clock is approximately 62.8 meters.
Explanation:To find the circumference of a circle, you can use the formula C = 2πr, where C is the circumference and r is the radius of the circle. In this case, the radius of the clock is given as 10m. Substituting this value into the formula, we have C = 2π(10) = 20π. The approximate value of π is 3.14, so the circumference of the clock is approximately 20(3.14) = 62.8m.
To find the circumference (C) of a round wall clock, you can use the formula C = 2πr, where π (pi) is approximately 3.14 and r is the radius of the clock. In this case, the radius is given as 10 meters. Substituting this value into the formula, the circumference is calculated as C = 2 * 3.14 * 10 meters, which equals 62.8 meters.
Therefore, the circumference of Mike's round wall clock is approximately 62.8 meters. This value represents the total distance around the edge or perimeter of the circular clock face.
How much of Earth is covered by Wilderness if we do NOT include frozen areas in the number? Is this
concerning?
Answer:
23%
Step-by-step explanation:
Please help!
How do I tell the difference between sss and sas?
SSS (Side-Side-Side) requires three pairs of equal sides to prove triangle congruence, while SAS (Side-Angle-Side) requires two pairs of equal sides and one pair of equal included angles.
Explanation:In mathematics, specifically in geometry, SSS (Side-Side-Side) and SAS (Side-Angle-Side) are two methods used to determine if two triangles are congruent. Congruent triangles are triangles that have the same size and shape.
SSS (Side-Side-Side)
The SSS criterion states that if all three sides of one triangle are respectively equal in length to all three sides of another triangle, then the two triangles are congruent. You do not need to know any angle measurements.
SAS (Side-Angle-Side)
The SAS criterion states that if two sides and the included angle (the angle between the two sides) of one triangle are equal to two sides and the included angle of another triangle, then the two triangles are congruent.
To distinguish between the two, remember that for SSS you're comparing three sides, and for SAS you're comparing two sides and the angle that is between them.
A month of the year is chosen at random. What is the probability that the month starts with the letter J or the letter M?
Answer:
5 Months start with"J" or "M"
January March May June July
So the probability of a randomly selected month beginning with J or M is
5 / 12
Step-by-step explanation:
Answer: C 5/12
Step-by-step explanation:
EDGE (GOT RIGHT) (:
ABCD shown in the coordinate plane below, is dilated with the center at the origin to form quadrilateral
EFGH
What is the scale factor of the dilation?
tontit
A. 1/4
B. 1/3
C. 3
D. 4
Answer:C
Step-by-step explanation:
John surveyed 25 of his classmates about their music preferences7 students said they like hip-hop, 13 students said they pop, and 8 students said they liked neither hip-hop nor pop musicJohn made a Venn diagram to find the number of students who like both hip-hop and pop music Evaluate John's work Did he use the Venn diagram accurately to arrive at a correct solution?
Answer:
The venn diagram is not included in the question, but il try to answer it in a general way.
We have a sample of 25 persons.
7 of them like hiphop.
13 of them like pop
8 of them do not like neither.
So in our Venn diagarm we will have two circles, one for the students that like pop and other for the students that like hip-hop.
in the pop circle we have 13 students, in the circle of hiphop we have 7 students, and outside both circles we have 8 stundents.
Now, if we add it all we get:
13 + 7 + 8 = 28,
But we have 25 students, this means that 3 of the students like both genres, hip hop and pop.
Then the circles of hip hop and pop must have an intersection, and in the intersection we must have 3 students.
Solution of systems of equations
Answer:where is the equation
Step-by-step explanation:
2 Points
It's Crazy Sock Day, and you need to wear a pair of mismatched socks to
school. You have White, Red, Blue, and Green socks to choose from. Which
list shows all possible combinations of two different sock colors?
O
A. WR, RW, WB, BW, WG, GW, RB, BR, RG, GR, BG, GB
O B. WR, WB, WG, RB, RG, BG
O C. WR, RB, BG, GW
O D. WW, WR, WB, WG, RR, RB, RG, BB, BG
Answer:
B. WR, WB, WG, RB, RG, BG
Step-by-step explanation:
It's only asking for how many color combos you can get, so you multiply 4 by 3, then divide by 2, to get the 6 different combinations.
Mr. Mole and Bugs Bunny started digging their way into the ground from different locations at the same time. They each dug at a constant rate.
The following equation gives Mr. Mole's altitude (in meters relative to the ground) as a function of time (in minutes). A = -4-0.6t
Bugs Bunny's altitude (in meters relative to the ground) as a function of time (in minutes) is given by the following table of values:
Time (Minutes) Altitude (Meters)
2 -1.6
9 -7.2
16 -12.8
Who dug faster?
A) Mr. Mole
B) Bugs Bunny
C) They both dug at the same rate
Who started at a higher altitude?
A) Mr. Mole
B) Bugs Bunny
C) They both started at the same altitude
Answer:
Bugs bunny did both
Step-by-step explanation:
B
Bugs Bunny dug faster than Mr. Mole since his digging rate is -0.8 meters per minute compared to Mr. Mole's -0.6 meters per minute. Bugs Bunny also started at a higher altitude compared to Mr. Mole. This comparison involves understanding the rates of change from given functions and data points.
To determine who dug faster between Mr. Mole and Bugs Bunny, we need to compare their digging rates.
Comparing Digging Rates
Mr. Mole's altitude function is given by A = -4 - 0.6t. The rate at which Mr. Mole digs is represented by the coefficient of t, which is -0.6 meters per minute.
To find Bugs Bunny's digging rate from the table, we need to calculate the change in altitude over the change in time:From time 2 minutes (-1.6 m) to time 9 minutes (-7.2 m):Rate = (final altitude - initial altitude) / (final time - initial time)= (-7.2 - (-1.6)) / (9 - 2) = -5.6 / 7 ≈ -0.8 meters per minuteFrom time 9 minutes (-7.2 m) to time 16 minutes (-12.8 m):Rate = (final altitude - initial altitude) / (final time - initial time)= (-12.8 - (-7.2)) / (16 - 9) = -5.6 / 7 ≈ -0.8 meters per minuteSince Bugs Bunny's rate is -0.8 meters per minute and Mr. Mole's rate is -0.6 meters per minute, **Bugs Bunny dug faster**.
Comparing Starting Altitudes
Comparing their initial altitudes:
Mr. Mole's initial altitude is -4 meters (when t = 0).
From the table, Bugs Bunny's initial data point is at time 2 minutes, altitude -1.6 meters. To find his initial altitude, we assume constant rate from this point backward:
(-1.6 meters at 2 minutes) + (0.8 meters/minute × 2 minutes) = -1.6 + 1.6 = 0 meters
Thus, Bugs Bunny started at a higher altitude.
for which of the following conditions will the sum of integers m and n always be an odd number?
F. m is an odd integer
G. n is an odd integer
H. m and n are both odd integers
J. m and n are both even integers
K. m is an odd integer and n is an even integer
Answer:
Option K
m is an odd integer and n is an even integer
Step-by-step explanation:
The sum of intergers when one is even and another is odd results into an even number. Take for example, if x is even and the next number x+1 their sum will be 2x+1. The presence of +1 at the end shows the number is not divisible by 2 hence an odd number.
Practically, if you add 2+3=5 and 2 is even number while 3 is odd, clearly the sum being 5 is an odd number.
Otherwise, if you add two even numbers or two odd numbers the sum will be an even number.
Even numbers can be divided by 2 without leaving a remainder, while odd numbers can't.
The true condition is condition K: m is an odd integer and n is an even integer
If m is odd and n is odd, then the sum will be even
This means that: Conditions F, G and H cannot be true
As an illustration, we have:
[tex]m + n= 5+ 7[/tex]
[tex]m + n= 12[/tex]
12 is even.
The result will always be even, provided that m and n are odd numbers.
If m is even and n is even, then the sum will be even
This means that: Conditions J cannot be true
As an illustration, we have:
[tex]m + n = 6 + 8[/tex]
[tex]m + n =14[/tex]
14 is even.
The result will always be even, provided that m and n are even numbers.
If m is odd and n is even, then the sum will be odd
This means that: Conditions K is true
As an illustration, we have:
[tex]m + n = 6 + 7[/tex]
[tex]m + n = 13[/tex]
13 is odd.
The result will always be odd, provided that m is odd while, n is even.
Hence: the true condition is:
K. m is an odd integer and n is an even integer
Read more about odd and even integers at:
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A gate is 3 feet tall and casts a shadow 5 feet long. At the same time, a nearby building is 27 ft tall. If this is to be a proportional relationship, what is the length of the building's shadow?
Answer:
the length of the shadow is 45 feet long
Step-by-step explanation:
a coin lands on heads 200 times
the relative frequency of heads is 0.4
Answer:
The number of times coin thrown was 500.
Step-by-step explanation:
Relative\ frequency=\frac{Number\ of\ lands\ on\ heads}{Number\ of\ times\ coin\ thrown}
0.4=\frac{200}{x}
By cross multiplying we get:
0.4x=200
Dividing both sides by 0.4 we get:
x=500.
write this polynomial in standard form (x+2)(x+5)
Answer:
14
Step-by-step explanation:
Which pair of ratios form a proportion? 97 points
5 : 10 and 10 : 15
8 : 12 and 18 : 27
9 : 15 and 24 : 30
6 : 20 and 7 : 30
Answer:
8 : 12 and 18 : 27
Step-by-step explanation:
5 : 10 and 10 : 15
Divide each by 5
1:2 and 2:3 The ratios are not the same
8 : 12 and 18 : 27
Divide the first by 4 and the second by 9
2:3 and 2:3 This is a proportion
9 : 15 and 24 : 30
Divide the first by 3 and the second by 6
3:5 and 4:5 The ratios are not the same
6 : 20 and 7 : 30
Divide the first by 2 and leave the second alone
2:10 and 7: 30 The ratios are not the same
Answer:
B. 8 : 12 and 18 : 27
Step-by-step explanation:
8 : 12
Reduces to
2 : 3
18 : 27
Reduces to
2 : 3
Same simplified ratio, hence proportional
Susan is going to build a large wooden storage box. The box will be in the shape of a rectangular prism, as shown below. She wants to cover all the sides of the box with special wallpaper that costs 3$ per square foot. How much will the wallpaper cost in total?
Given:
Length = 5 ft
Width = 2 ft
Height = 5 ft
To find:
The cost of total wallpaper.
Solution:
Total surface area = 2(lw + wh + lh)
= 2(5 × 2 + 2 × 5 + 5 × 5)
= 2(10 + 10 + 25)
= 2(45)
Total surface area = 90 ft²
Cost of wallpaper per square foot = $3
Cost of wallpaper for 90 square feet = 3 × 90
= $270
Therefore total cost of wallpaper is $270.
Answer:
270
Step-by-step explanation:
just did it on aleks
What is a parent reciprocal
Answer:
Step-by-step explanation: The general form of a reciprocal function is r(x) = a / (x - h) + k. The graphs of reciprocal functions are made up of branches, which are the two main parts of the graph; and asymptotes, which are horizontal and vertical lines that the graph approaches but doesn't touch.
Express 20 cm to 400 mm in simplest form
Answer:
Step-by-step explanation:
36/24 or 3/2
USA scientific notation to express the diameter of a red blood cell that measures 0.00075 centimeters
Answer: 7.5×10^-4
Step-by-step explanation:
0.00075
Scientific notation means standard form
There are 3 zeros in front of the 7
So take the decimal to the back of 7
You have
7.5
Since you are counting backward, it will be negative
So we have
7.5×10^-4
Answer:
[tex]7.5 * 10^{-4}[/tex]
Step-by-step explanation:
Scientific notation is basically taking a decimal number and writing it as the product of a number between 1 and 10 (including 1 but excluding 10) and a power of 10.
Here, to get a number between 1 and 10, we see that 7.5 could work. However, if we have 7.5, we're disregarding all the zeros that came before it, which can't work. So, we need to take those into account by dividing 7.5 by 10000, which is the same as multiplying 7.5 by [tex]10^{-4}[/tex].
Thus, our final answer is the scientific notation: [tex]7.5 * 10^{-4}[/tex].
A bag contains red and blue marbles, such that the probability of drawing a blue marble is 2. An experiment consists of drawing a
marble, replacing it, and drawing another marble. The two draws are independent. A random variable assigns the number of blue
marbles to each outcome.
Complete the probability distribution table on your own paper. Answer the question in the text box below.
Probability Distribution
Number of blue
Probability
What is the probability of drawing exactly one blue marble? Write a simplified fraction
Mark this and return
Save and Exit
Next
Submit
Answer:
The probability mass function of random variable X which represents the number of blue marbles draan in 2 draws with replacement.
X | P(X)
0 | 0.390625
1 | 0.46875
2 | 0.140625
b) The probability of drawing exactly one blue marble = 0.46875
Step-by-step explanation:
Complete Question
A bag contains red and blue marbles, such that the probability of drawing a blue marble is 3/8. an experiment consists of drawing a marble, replacing it, and drawing another marble. The two draws are independent. A random variable assigns the number of blue marbles to each outcome.
To write the Probabilty mass function, we have to establish that in two draws with replacement, the possible number of blue marbles that can be drawn is 0, 1 and 2.
Probability of drawing a blue marble = P(B) = (3/8)
Probability of not drawing a blue marble = P(B') = 1 - (3/8) = (5/8)
- Probability of drawing 0 blue marbles in 2 draws with replacement = P(B') × P(B') = (5/8) × (5/8) = (25/64) = 0.390625
- Probability of drawing one blue marble in 2 draws with replacement
= [P(B) × P(B')] + [P(B') × P(B)]
= (2) × (3/8) × (5/8) = (30/64) = (15/32) = 0.46875
- Probability of drawing two blue marble in 2 draws with replacement = P(B) × P(B)
= (3/8) × (3/8) = (9/64) = 0.140625
The probability mass function of random variable X which represents the number of blue marbles draan in 2 draws with replacement.
X | P(X)
0 | 0.390625
1 | 0.46875
2 | 0.140625
b) Probability of drawing one blue marble in 2 draws with replacement
= [P(B) × P(B')] + [P(B') × P(B)]
= (2) × (3/8) × (5/8) = (30/64) = (15/32) = 0.46875
Hope this Helps!!!
can anyone answer this