Answer:
Three-ninths < One-half < Five-sixths < 1
Step-by-step explanation:
We are supposed to compares Five-sixths, One-half, Three-ninths, and 1
[tex]\frac{5}{6} , \frac{1}{2},\frac{3}{9} , 1[/tex]
Take LCM of denominators
LCM of 6,9,2,1 = 18
[tex]\frac{5}{6} \times \frac{3}{3}=\frac{15}{18}[/tex]
[tex]\frac{1}{2} \times \frac{9}{9}=\frac{9}{18}[/tex]
[tex]\frac{3}{9} \times \frac{2}{2}=\frac{6}{18}[/tex]
[tex]1 \times \frac{18}{18} = \frac{18}{18}[/tex]
[tex]\frac{6}{18}<\frac{9}{18}<\frac{15}{18}<\frac{18}{18}[/tex]
[tex]\frac{3}{9}<\frac{1}{2}<\frac{5}{6} < 1[/tex]
Three-ninths < One-half < Five-sixths < 1
Answer:
Three-ninths < One-half < Five-sixths < 1
Step-by-step explanation:
AC =
Round your answer to the nearest hundredth.
40°
A square has one of its sides increased by 7 inches and the other side decreased by 4 inches. Which of the following represents the area of the square?
Answer:
Step-by-step explanation:
both the length and the width of a square is the same measurement.
so if both measured to "x" then that means one side increase +7.
so one side is x + 7
and the other side decreased -4
so the other side is x - 4
area of square = length x width or just one of the sides to the power of 2
so (x+7) * (x-4) = Area
x^2 + 3x - 21 = area
Answer:
x^2-11x+24
Step-by-step explanation:
The area of a quad is lw
So, the formula would be (x-7)(x-4)
When you multiply it, it turns to be x^2 - 11x + 24
I think thats the answer
there are no choices so the answer might be in the wrong form
Consider the following number line: A A B B C C 1.1 1.1 0 0 Select a reasonable value for Point B Bstart color #11accd, B, end color #11accd. Choose 1 answer: Choose 1 answer: (Choice A) A 2.1 2.12, point, 1 (Choice B) B 5.4 5.45, point, 4 (Choice C) C − 0.9 −0.9minus, 0, point, 9 (Choice D) D − 0.77 −0.77minus, 0, point, 77
Answer:
c.-1.9
Step-by-step explanation:
Answer:
0.8
Step-by-step explanation:
find the equation of the line in slope-intercept form that has
slope = -1/2 y-intercept = 6
Help. Rounded to the nearest tenth.
Answer:
sorry i dont this answer
Answer:
0.79
Step-by-step explanation:
Let's find the area of these two shapes- the square and the circle.
For the square, we know the area is length times width, which is 4x4, which is 16.
For the circle, the area is [tex]\pi r^2\\[/tex] and r is 2, so the area of the circle is 12.56.
Dividing 12.56 by 16, we get a number roughly around 0.79.
Sophia and Jackson are both saving money for college. Sophia has already
saved $700 and plans on saving $60 a week from her part time job as a
waitress. Jackson has not saved any money yet, but he just got a job as a
bank teller and plans on saving $80 week. How long will it take before Sophia
and Jackson have saved the same amount of money?
Answer:
33.5 weeks
Step-by-step explanation:
Step by step solution needed ASAP
Answer:
±16
The principle value is 16
Step-by-step explanation:
sqrt(8) * sqrt(32)
We know that sqrt(a) sqrt(b) = sqrt(ab)
sqrt(8*32)
sqrt(256)
sqrt(16*16)
±16
The principle value is 16
Answer: 16
Step-by-step explanation:
[tex]\sqrt{8} *\sqrt{32}[/tex]
Combine
[tex]\sqrt{256}[/tex]
Simplify by finding the greatest perfect square
[tex]\sqrt{4*64}[/tex]
[tex]16[/tex]
Hope this makes sense
Suppose you deposit $1500 in a savings account that pays interest at an annual rate of 6% if no money is added or withdrawn from the account answer the following questions how much will be in the account in four years how much will be in the account after 16 years how many years will it take for the account to contain $2000 How many years will it take for the account to contain $2500
Answer:
In 4 years = $1,893.72
In 16 years = $3,810.53
years to contain $2,000 = 4.9371454128
years to contain $2,500 = 8.766692911
Step-by-step explanation:
In 4 years
A = 1,500 (1 + 0.06)^4
= $1,893.72
In 16 years
A = 1,500 (1 + 0.06)^16
= $3, 810.53
to find number of years
t = ln (A/P) / ln (1+r)
when A = 2,000
t = ln(2,000/1,500) / ln(1+0.06)
= 4.9371454128 years
when A = 2,500
t = ln(2,500/1,500) / ln(1+0.06)
= 8.766692911 years
PS: You can also use log in place of ln
The number of years it will take for the account to contain $2000 is 4.94 years while it will take 8.77 years to contain $2500.
Calculation of future value and the number of years it takesLet:
PV = Present value = $1,500
r = Interest rate = 6%, or 0.06
n = number of years
FVn = Future value after a certain number of years
Therefore, we have:
The amount that will be in the account in four years can be calculated using the future value (FV) formula as follows:
FV4 = PV * (1 + r)^n = $1,500 * (1 + 0.06)^4 = $1,893.72
Therefore, the amount that will be in the account in four years is $1,893.72.
The amount that will be in the account after 16 years can also be calculated using the future value (FV) formula as follows:
FV16 = PV * (1 + r)^n = $1,500 * (1 + 0.06)^16 = $3,810.53
Therefore, the amount that will be in the account after 16 years is $3,810.53.
The number of years will it take for the account to contain $2000 can be calculated using the following formula:
n = (log(FV/PV)) / (log(1+r)) = (log($2,000/$1,500)) / (log(1+0.06)) = 0.1249387366083 / 0.0253058652647703 = 4.94 years
Therefore, the number of years it will take for the account to contain $2000 is 4.94 years.
The number of years it will take for the account to contain $2500 can be calculated using the following formula:
n = (log(FV/PV)) / (log(1+r)) = (log($2,500/$1,500)) / (log(1+0.06)) = 0.221848749616356 / 0.0253058652647703 = 8.77 years
Therefore, the number of years it will take for the account to contain $2000 is 8.77 years.
Learn more about future value here: https://brainly.com/question/13504821.
#SPJ2
Find the interquartile range (IQR) of the data in the box plot below.
PLZ ASAP PLZ ASAP
Answer:
3
Step-by-step explanation:
To find the IQR, use this formula:
Quartile 3 – Quartile 1
this will get you the IQR of a box and whisker plot :)
(pls mark brainliest)
Errol's bike ride from home to school can be modeled by the equation d(t) = -4t+2, where d(t) is
his distance from school, in miles, at t minutes. Errol's friend Daniel lives 4 miles away from school. It
takes Daniel twice as long to get to school if he bike rides at the same pace as Errol. What can be said
about the graph of the equation that models Daniel's bike rides?
Answer:
Option (2).It has a vertical translation by 2 units in the positive direction.
Step-by-step explanation:
Given question is not complete: find the complete question with attachment
Errol's bike ride can be modeled by the equation,
[tex]d(t)=-\frac{1}{4}t+2[/tex]
Slope of the given equation = [tex]-\frac{1}{4}[/tex] which shows the rate of change of distance from Errol's house
Y-intercept = 2, shows the distance of the school from Errol's house
Let the equation that represents the distance of Daniel's home from the school is,
y = mt + b
Since speed of Daniel is equal to the speed of Errol, slopes of both the equations will be same.
Since y-intercept 'b' represents the distance from his home, b = 4
Now the equation will be,
[tex]d(t)=-\frac{1}{4}t+4[/tex]
Therefore, the graph representing the Daniel's equation will have a vertical translation by 2 units in the positive direction.
What is the surface area of the triangular prism represented by the net below?
A. 448 cm2
B. 704 cm2
C. 608 cm2
D. 640 cm2
Simplify the product of
(3+/7)(3-/7) that you found in the previous step.
found in the previous step
(3+/7)(3-/7)=
Answer:
2
Step-by-step explanation:
Correct on Edge 2020 :)
The product of expression (3 + √7) (3 - √7) is, 2.
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
We have to given that;
The expression is,
⇒ (3 + √7) (3 - √7)
Now, We can multiply the number as,
⇒ (3 + √7) (3 - √7)
⇒ (9 - 3√7 + 3√7 - 7)
⇒ 9 - 7
⇒ 2
Learn more about the multiplication visit:
https://brainly.com/question/10873737
#SPJ5
Find the area. WILL MARK BRAINLIEST
-3x+1/2=3/8
Whats x? pls someone help step by step
Answer:
x = -1/24 = -0.042
Step-by-step explanation:
Step 1 : Simplify 3/8
Step 2 :
Rewriting the whole as an Equivalent Fraction
Step 3 :
Calculating the Least Common Multiple
Equation at the end of step 3 :
24x + 1
——————— = 0
8
Last step:
Solving a Single Variable Equation :
5.2 Solve : 24x+1 = 0
Subtract 1 from both sides of the equation :
24x = -1
Divide both sides of the equation by 24:
x = -1/24 = -0.042
Hope this helps.
At 7 PM, the temperature outside was -5°C. What does 1-5 represent in this situation?
Answer:
(A) The number of degrees between 0 and -5 C
Step-by-step explanation:
Hi! It is not 1-5 is is the absolute value of -5. This would be 5 which is the number of degrees between 0 and -5.
Answer:
An inequality can have more than one solution. The set of all solutions of an inequality is called the solution set. The symbol ≥/ means “is not greater than or equal to.”
Step-by-step explanation:
Fraction Decimal Percent
2/3 0.666… 66.666…%
1/4 0.25 25%
3/4 0.75 75%
1/5 0.2 20%
HELPPPP
Scores on a math placement exam at UGA are normally distributed with a mean of 76 and a standard deviation of 6. What is the probability that an incoming freshman scores between 61.6 and 80.2?
Answer:
The probability that an incoming freshman scores between 61.6 and 80.2 is 0.7498
Step-by-step explanation:
We are given that Scores on a math placement exam at UGA are normally distributed with a mean of 76 and a standard deviation of 6.
Mean = [tex]\mu = 76[/tex]
Standard deviation =[tex]\sigma = 6[/tex]
we are supposed to find the probability that an incoming freshman scores between 61.6 and 80.2 i.e. P(61.6<x<80.2)
Formula : [tex]Z=\frac{x-\mu}{\sigma}[/tex]
At x = 61.6
So,[tex]Z=\frac{61.6-76}{6}[/tex]
Z=-2.4
Refer the z table for p value
So,p value =0.0082
At x = 80.2
So,[tex]Z=\frac{80.2-76}{6}[/tex]
Z=0.7
Refer the z table for p value
So,p value =0.7580
P(61.6<x<80.2)=P(x<80.2)-P(x<61.6)=0.7580-0.0082=0.7498
Hence the probability that an incoming freshman scores between 61.6 and 80.2 is 0.7498
Savannah is baking cookies with a recipe that calls for 6 cups of sugar to make 27 cookies. Savannah wants to make 72 cookies. How much sugar, in cups, does she
need?.
Answer:
16 cups of sugar
Step-by-step explanation:
27 x 2 2/3 = 72 So 2 2/3 x 6 = 16
If 6 cups of sugar is used to make 27 cookies. Then 16 cups of sugar is used to make 72 cookies.
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
Given,
Savannah is baking cookies with a recipe that calls for 6 cups of sugar to make 27 cookies.
We need to find how much sugar she has to add to make 72 cookies.
To find this we have to form an equation.
Let x be number of cups of sugar to make 72 cookies
6/27=x/72
Apply cross multiplication
72×6=27x
432=27x
Divide both sides by 27
x=16
Hence, 16 cups of sugar is required to make 72 cookies.
To learn more on Ratios click:
https://brainly.com/question/1504221
#SPJ2
can someone help me with this I do not understand it?
Answer:
So, the first one is not proportional and therefore has no multiplier.
You are right on the second on both counts!
Step-by-step explanation:
You just need to divide the x's by the y's (individually) in order to determine what they are multiplied by. And the answers you get for the first one will be 5, 6, and 7. Because the numbers are different, they are not proportional.
What is the volume of the cone to the nearest cubic millimeter? (Use π = 3.14)
A) 52 mm3
B) 157 mm3
C) 209 mm3
D) 628 mm3
Answer:
209
Step-by-step explanation:
The volume of the cone, to the nearest cubic millimeters is: C. 209 mm³.
What is a Cone's Volume?Volume of a cone = 1/3πr²h
Where, r = radius of the cone, and h = height of the cone.
Given:
π = 3.14Radius (r) = 5 mmHeight (h) = 8 mmThus:
Volume of a cone = 1/3(3.14)(5²)(8)
Volume of a cone = 209 mm³
Thus, the volume of the cone, to the nearest cubic millimeters is: C. 209 mm³.
Learn more about volume of cone on:
https://brainly.com/question/14278632
Tim has read 40% of a book. He has 36 more pages to finish. How many pages are there in the book?
Answer:
60 pages
Step-by-step explanation:
1)100%-40%=60%(left to read)
2)So, 60%-36p.
40%-(x)p.
3)60x=40*36
60x=1440
x=24(pages he has already read)
4)24+36=60 pages in total
A mill processes 48 tons of flour in 3 hours. How many tons of flour can the mill process in 8 hours if its rate or production stays the same?
Answer:
128 tons can be processed in 8 hours.
Step-by-step explanation:
48 divided by 3 = 16 (to see how much tons are produced in 1 hr.)
16 x 8
=128
Answer:
128 tons in 8 hours
Step-by-step explanation:
do 48 divided by 3 = 16
to see how much tons get produced in an hr.
then when you do 16x8 which is 128
Which choice is correct..Thanks
Answer:
Construct two [intersecting, perpendicular] diameters and connect the four endpoints
Apollo does 240 push-ups in 5 minutes. How many push-ups can Apollo do in 1 minute
Answer:
48
Step-by-step explanation:
240/5 = 48
Answer:
48 push ups in 1 minute
Step-by-step explanation:
We can use a ratio to solve
240 pushups
-----------------------
5 minutes
Divide each by 5
48 pushups
--------------------
1 minutes
please calculate the volume of the cylinder below. use 3.14 as approximation for Pi. (MIDDLE SCHOOL MATH)
the answer is V≈254.47
Ann wants to buy a coffee machine. She knows, that during the holidays, the probability of a discount of more than 10% is 0.87, on weekends, the probability of a discount of more than 10% is 0.38, and on a regular weekday, it is 0.17. On average there are 15 holidays per year, 100 weekends (holiday weekends are excluded) and 250 weekdays. Find the probability of a discount of more than 10% for the randomly chosen day. Find the probability that it was a weekend if it is given that she bought a machine with a discount of more than 10%.
Answer:
Let's denote:
P(discount on 15 holidays) = P(A) = 0.87
P(discount on 100 weekends) = P(B) = 0.38
P(discount on 250 weekdays) = P(C) = 0.17
=> The probability of a discount of more than 10% for the randomly chosen day: P = P(A) x 15/360 + P(B) x 100/360 + P(C) x 250/360
= 0.87 x 15/360 + 0.38 x 100/360 + 0.17 x 250/360
= 0.26
Given she bought a machine with a discount of more than 10%, the probability that it was a weekend would be:
P = 100/(100 + 250 + 15) = 0.27
Hope this helps!
:)
Answer:
1. 0.256
2. 0.406
Step-by-step explanation:
Total days:
15 + 100 + 250 = 365
P(more than 10% discount)
= (0.87×15/365) + (0.38×100/365) +(0.18×250/365)
= 1871/7300
0.2563013699
P(weekend/more than 10% discount)
= (0.38×100/365) ÷ (1871/7300)
= 760/1871
0.4061998931
4. Find the surface area of the space figure represented by the net.
A 75 cm
B 96 cm2
C 90 cm2
D 69 cm
please answer quickly
Answer:
Step-by-step explanation:
4^3 * 4^4 = 4^(3+4) = 4^7
4^7/4^9 = 4^(7-9)
= 4^-2 = 1/4^2
What is the area of a rectangle with length 6 units and width 3 units?
9 units 2
18 units
24 units
32 units2
Answer:
18 units. Just multiply them.
Answer:
18
Step-by-step explanation:
6 x 3 = 18
Listed are the distances traveled by four cars and the time it took each car to cover that distance. Identify which cars traveled at the same speed.
Car 1
350 miles
in 5 hours
Car 2
240 miles
in 4 hours
Car 3
320 miles
in 5 hours
Car 4
420 miles
in 6 hours
Answer:
Car 1 and Car 4
Step-by-step explanation:
Car 1-70mph
Car 2-60mph
Car 3-64mph
Car 4-70mph
So, its Car 1 and Car4
Maria wraps the gift she is taking to a friend’s birthday party. She doesn’t have much paper, so she does not overlap any of the edges. The dimensions of the box are: width is 30 cm, length is 15 cm, and height is 20 cm. How much paper did it take to cover the gift?
Answer:
Total paper required to wrap the gift without any overlaps: [tex]2700\ cm^{2}[/tex]
Step-by-step explanation:
Here, we need to find the total paper required without any sides overlapping to wrap the gift.
The gift is of cuboid type.
Given the following:
Length = 15 cm
Width = 30 cm
Height = 20 cm
Please refer to the attached figure.
We can infer that to find the paper required, we actually need to the find the total surface area of the cuboid.
Because the gift wrap will be done on the faces of gift (which is of cuboid shape).
Formula for Surface Area of Cuboid:
[tex]\text {Area = } 2 \times (\text{Length}\times \text{Width} + \text{Width}\times \text{Height} + \text{Length}\times \text{Height} )\\\\\Rightarrow 2 \times (15 \times 30 + 30 \times 20 + 15 \times 20)\\\Rightarrow 2 \times (450 + 600 + 300)\\\Rightarrow 2 \times (1350)\\\Rightarrow 2700 cm^{2}[/tex]
Hence, total paper required to wrap the gift without any overlaps: [tex]2700 cm^{2}[/tex]
