A piepie is divided into 2020 equal pieces. GlennGlenn and SophieSophie each ate one fourth 1 4 of the piepie on MondayMonday. The next day, SophieSophie ate one fifth 1 5 of the piepie that was leftover. How many of the pieces of the original piepie remain? Explain your reasoning. Together, GlennGlenn and SophieSophie ate one fourth 1 4 piece(s) on MondayMonday, and SophieSophie ate one fifth 1 5 piece(s) the next day. To find the number of pieces that remain, add these numbers to the total number of pieces. So, 0.450.45 pieces of the original piepie remain.
Answer:
Pieces remaining = 1 - (1/4 + 1/4) - (1/2 x1/5) = 1/2 - (1/2 x1/5) = 1/2 - 1/10 = 4/10
Therefore, 4/10 x 20 = 8 pieces.
Step-by-step explanation:
Sophie ate 1/4 = 5 pieces
Glenn ate 1/4 = 5 pieces
Remaining pieces = 20 - 5 - 5 = 10 pieces
On Monday, Sophie ate = 1/5 x 10 = 2 pieces
Therefore, remaining pieces = 10 - 2 pieces = 8 pieces
Sophie and Glenn consumed half of the pie the first day. This is equal to 10 pieces. The remaining pieces will be 10. If, on Monday, Sophie ate 1/5 of 10 pieces, representing 2 pieces, the number left over is 10 Minus 2, which equals 8 pieces.
Consider circle A in the diagram below where the m∠DCG=25∘ and mCF^=60∘ and prove that m∠EDF=55∘.
Given that m∠DCG=25∘, this angle intercepts arc DG^ which makes mDG^=_, this means that mED^=130∘ as EG^ is a diameter.
∠CED intercepts CFD^, which makes m∠CED=_.
∠ECD intercepts ED^ which makes m∠ECD=_.
∠CDF intercepts CF^ which is 60∘, making m∠CDF=30∘. Using the triangle sum theorem, m∠EDC=_, and using Angle addition postulate the m∠EDF=55∘.
Answer:
50, 90, 65, 25
Step-by-step explanation:
I dont know how to get to it that is why I searched it up :/
Paco decides to invest $600 into a bank account that gives him a 3.4% interest rate compounded quarterly. He wants to know how long it will take for him to save up to $1,000.
Answer:
It would take 15 years
Step-by-step explanation:
The length of time it takes to reach $1,000 savings can be determined from the future value formula given below:
FV=PV*(1+r/4)^n*4
FV is the target savings of $1,000
PV is the amount invested which is $600
r is the rate of interest of 3.4%
n is the unknown
1000=600*(1+3.4%/4)^4n
1000=600*(1+0.0085 )^4n
1000=600*(1.0085)^4n
1000/600=1.0085^4n
1.666666667 =1.0085^4n
take log of both sides
ln 1.666666667 =4n ln 1.0085
4n=ln 1.666666667/ln 1.0085
4n=0.510825624 /0.008464078
4n=60.35218768
n=60.35218768 /4
n= 15.09
what’s the solution
Answer:
We need more info
Step-by-step explanation:.
Luke bought three canvas boxes to store his papers. The canvas boxes have dimensions of 12 inches by 10 inches by 12 inches. What volume of itmes can be the three canva boxes hold?
Given Information:
Number of boxes = 3
Length of boxes = L = 12 inches
Width of boxes = W = 10 inches
Height of boxes = H = 12 inches
Required Information:
Volume of items boxes can hold = ?
Answer:
[tex]Volume = 4320 \: in^{3}[/tex]
Step-by-step explanation:
We are given that Luke bought 3 canvas boxes to store his papers.
We are also provided the dimensions of boxes.
We are asked to find out the volume of items that can be stored by these 3 canva boxes.
A canva box has shape of a rectangular prism and its volume is given by
[tex]Volume = L \times W \times H[/tex]
Where L is the length of the box, W is the width, and H is the height of box.
[tex]Volume = 12 \times 10 \times 12 \\\\Volume = 1440 \: in^{3}[/tex]
So the volume of 3 boxes is
[tex]Volume = 3\times 1440 \\\\Volume = 4320 \: in^{3}[/tex]
Therefore, the 3 canva boxes can store 4320 cubic inches of volume.
Answer:
D) 4,320
Step-by-step explanation:
Duffy completed a 50-meter dash in 36 seconds. That was 90 percent of the time it took Paul to complete it. What was Paul's time?
42 seconds
38 seconds
40 seconds
36 seconds
Answer:
40 seconds
Step-by-step explanation
NEED ANSWER ASAP
For the function
f(x) = |x|-2, find the value when x = -3
Answer:
1
Step-by-step explanation:
The absolute value of -3 is just 3, because it has a distance of 3 away from 0. Therefore, [tex]\mid -3 \mid -2=3-2=1[/tex]. Hope this helps!
A triangle has an area of 30 square centimeters.
If the height of the triangle is 5 1/2 centimeters, what is the base length?
Answer: 10.9 cm
Step-by-step explanation:
The equation to find the area of a triangle is
Base x height x 1/2 = area
Since you are given the area, rearrange or “do the opposite” to find the base
(Area x 2 ) / height = base
30 x 2 = 60
60/ 5.5 = 10.9
Hope this helped :)
EMERGENCY PLZ HELP ASAP
For the diagram shown, x = 80 and y = 30. Determine the value of z.
A) 20
B) 40
C) 50
D) 100
Answer:
C) 50
Step-by-step explanation:
x+90+90+y+z=360
270+y+z=360
y+z=90
Therefore, C) 50
Answer:
50 degrees
Step-by-step explanation:
Ah ok so we know that x= 80 degrees.
y+z= x.
So all you have to do is input the values.
80-30=50
Hence the answer is C) 50
Find the area of the composite figure below.
5 cm
2 cm
3 cm
a
16 cm?
b
17 cm
C
13 cm
d
10 cm2
Answer: D is the correct answer.
The awnser yo 4(x-2+y) using distributive property to create an equivalent expression??
Answer:
4x + 4y - 8
Step-by-step explanation:
Parenthesis
Exponents
Multiply
Divide
Add
Subtract
Deja is training for a race on Saturday. On Sunday, she runs 1/6 of a mile. On Monday she runs 1/5 of a mile. On Tuesday she runs 1/4 of a mile. On Wednesday she runs 1/3 of a mile. On Thursday she runs 1/2 of a mile. Finally, on Friday, the day before the race, she runs a whole mile. If the length of the race is the same as the total distance Deja ran in preparation, how many miles is the race?
Answer:
49/20 miles or 2.45 miles
Step-by-step explanation:
LCM(1,2,3,4,5,6,)=60
10/60+12/60+15/60+20/60+30/60+60/60=147/60=49/60 or 2.45
A school dedicated 50% of the courtyard area for students to start a garden. The students want to know how much of the 632-square-foot space they will be able to use.
Answer:70
Step-by-step explanation:
Answer:
this is SUPER late but it is 1/2 x 632
Step-by-step explanation:
Which of the following is the quotient of the rational expressions shown
below?
Today, there were 2 members absent from the band. The present members folded 25 programs each, for a total of 525 programs. How many members are in the band when no one is absent…
Answer:
23
Step-by-step explanation:
225/25 = 21
21+2=23
Answer:
How many members are in the band when no one is absent?
the answer is c if you are refering to the khan academy question
Step-by-step explanation:
its from khan academy
John made 2 quarts of juice for a school party. He said that he made 2/4 cup of juice. A. Explain John's mistake. B. How many cups of juice did John actually make?
Answer:
A. He thought 1 quart = 1/4 cup
B. actually made 8 cups of juice
Step-by-step explanation:
From conversion,
1 cup =1/4 quarts
A. John thought 1 quarts = 1/4 cup, which was his mistake
B. His 2/4 cups is actually
4*2 = 8 cups
You roll a number cube 20 times. Which scenario is least likely?
Answer:
you won't roll the same number 5 times
The art club has 12 members who are sixth graders 18 members who are seventh graders and 10 members who are eighth-graders. What percent of the art club members are seventh graders?
--------------------------------------------------------------------------------------------------------------------------------
18%
25%
30%
45%
Answer:
18
Step-by-step explanation:
What is the slope of the line that passes through the points (-2, 7) and (2,-5)?
Write your answer in simplest form.
Answer:
Denote that line: y = ax + b
Line passes (-2, 7) and (2,-5):
=> -2a + b =7
=> 2a + b = -5
Add both side of above equations:
=> 2b = 2
=> b = 1
=> a = (-5 - 1)/2 = -3
=> Slope a = -3
Hope this helps!
:)
This question is based on the equation of line. Therefore, the slope of the line is -3 that passes through the points (-2, 7) and (2,-5).
Given:
Points are (-2, 7) and (2,-5).
We need to calculate the slope of the line that passes through the points (-2, 7) and (2,-5).
According to the question,
As we know that, equation of line: y = mx +c
It is given that, line passes through points, (-2, 7) and (2,-5).
Now, putting this points in equation of line: y = mx +c.
We get,
=> -2m + c =7 ...(1)
=> 2m + c = -5 ...(2)
Now, adding and solving above two equations,
We get, c = 1
Then, putting the value of b= 1 in equation (1).
We get, m = -3.
Therefore, the slope of the line is -3 that passes through the points (-2, 7) and (2,-5).
For more details, prefer this link:
https://brainly.com/question/21511618
A circular rug has the radius of 4 feet. Which of the following is closest to the number of square inches the rug covers.
A. 55.26 ft2
B. 50.24 ft2
C. 29.7 ft2
D. 33.6 ft2
Answer:
B. 50.24ft
Step-by-step explanation:
A=(pie)r^2
A=3.14(4)^2
A=3.14 * 16
A=50.27
Closest to 50.24
Solve the quadratic by factoring.
x2 - 4x = -4x + 4
Answer:
x=2 or x=-2
Step-by-step explanation:
ax^2+bx+c=0
first we rearrange this equation so we get x^2+(-4+4)x-4=0 so its x^2-4=0 so that means b=0 now we should find two numbers that when we multiply them we get c and when we subtract them we get b so that two numbers are 2 and -2
If y’all in 6 grade help each other out with the answer
Answer:
You got it, I have been busy and I am glad to see someone feeling the same way as me!
Answer:
what the question
Step-by-step explanation:
AWARDING BRAINLIEST! PLEASE HELP!!!
Answer:
Right triangle
Step-by-step explanation:
we are given three sides as 14 ft, 48 ft, and 50 ft
Firstly, we will verify for right angle
We know that any triangle is right angled when it satisfies Pythagoras theorem
We know that hypotenuse side value is always largest
so, hypotenuse=c=50
Let's assume other two sides as
a=14
b=48
now, we can use Pythagoras theorem formula
C²=a²+b²
we can plug values and we check whether left side is equal to right side
50²=14²+48²
2500=196+2304
2500=2500
we can see that left side is equal to right side
Since, it satisfies Pythagoras theorem
Therefore, Right triangle is the answer
Answer:
I believe, obtuse.
Step-by-step explanation:
You have one extremely small side, two long sides. If you put your hands together and logically measure the 14 length side, you'd realize it is obtuse. I have no mathematical evidence.
what’s the answer for this question
Answer:
360cm 2
Step-by-step explanation:
18×20=360
a=l×w
Answer: The answer is 360cm²
Step-by-step explanation: 20×18=360cm²
What two whole number integers would the square root fall in between ?
√(44)
4 and 5
6 and 7
5 and 6
8 and 9
Answer:
It would fall between 6 and 7
Step-by-step explanation:
Prodigy math i will mark you brainliest if you get it right
Answer:
8 and 2/8
Step-by-step explanation:
3 and 2/8 times 2 is 6 and 4/8 then u subtract that from 14 and 6/8
Answer:
1 is 18, and 2 is 36 brainliest
Step-by-step explanation:
ession r' - (3+2)
(3 + 2)2 for 2 = 4.
Answer:
Step-by-step explanation:
idk im aooy
Which sentence describes a benefit that short-term disability insurance offers a policyholder? A. It provides 30% to 40% of the policyholder's income for up to one year. B. It provides 10% to 25% of the policyholder's income for up to two years. C. It provides 50% of the policyholder's income for up to one year. D. It provides 40% to 60% of the policyholder's income for up to one year.
Answer:
D. It provides 40% to 60% of the policyholder's income for up to one year.
Step-by-step explanation:
Insurance is a risk sharing device where the risk is shared between the policyholder and the insurance company through regular periodic payment called premium. What Short term disability insurance does is to make do with the income of a person that has to leave his/her place of work as a result of sickness or injury. It provides financial assistance while the individual convalesces at home. The employee are liable to receive 40 to 60 % of their gross weekly income pending on the premium paid. This coverage period is 9 to 52 weeks, (i.e 2.25 to 12 months).
Answer:
D. It provides 40% to 60% of the policyholder's income for up to one year.
Step-by-step explanation:
find out three rational numbers lying between 2/3 and 3/4
PLEASE HELP........ NEED TO SUBMIT THIS NOW....
3.64 divided by 60.5 ROUNDED plz answer!!!
Answer:
0.06
Step-by-step explanation:
