Answer: [tex]4\times 3.5\ ft^2[/tex]
Step-by-step explanation:
Given
area of the rectangle is [tex]A=14\ ft^2[/tex]
Suppose width is given by w
So, length is [tex]l=2w-3[/tex]
The area of a rectangle is [tex]A=l\times w[/tex]
putting values
[tex]\Rightarrow A=(2w-3)w\\\Rightarrow 14=2w^2-3w\\\Rightarrow 2w^2-3w-14=0\\\Rightarrow 2w^2-7w+4w-14=0\\\Rightarrow w(2w-7)+2(2w-7)=0\\\Rightarrow (2w-7)(w+2)=0\\\\\Rightarrow w=\dfrac{7}{2}\ ft[/tex]
length is [tex]l=4\ ft[/tex]
PLEASE HELPPPPP
WILL GIVE BRAINLIEST
Answer:
Step-by-step explanation:
From the given table,
A. The unit rate for each car is,
Car A = [tex]\frac{416}{13}[/tex]
= 32 miles per gallon
Car B = [tex]\frac{544}{16}[/tex]
= 34 miles per gallon
Car C = [tex]\frac{665}{19}[/tex]
= 35 miles per gallon
Car D = [tex]\frac{775}{25}[/tex]
= 31 miles per gallon
B. From the derived values in A, the car that uses the least amount of gas is Car C.
C. Total distance covered = 496 miles x 4
= 1984 miles
The gallons of gas the Car A would need for the journey can be determined by;
Car A requires 1 gallon for 32 miles
So that for 1984 miles = [tex]\frac{1984}{32}[/tex]
= 62 gallons
Car A would need 62 gallons of gas to make the trip.
D. Amount spent on gas for Car A = $2.12 x 62
= $131.44
E. speed = [tex]\frac{distance}{time}[/tex]
⇒ time = [tex]\frac{distance}{speed}[/tex]
Given the for Car A, speed = 68 miles per hour.
time = [tex]\frac{1984}{68}[/tex]
= 29.1765
time = 29 hours
It would take approximately 29 hours for Car A to cover the total distance of 1984 miles.
An author of a book gets 3% of the price of each book sold. He received $24,380. How many copies of the book were sold, if each book was sold for $32.00?
Please Explain
divide the number by 32 then divide what you get by 3 and last times 100 equals 25,395.83333333 round it if you want to to 25,395.8
Find x. This is not drawn to scale.
H
150°
GX 54°
J
E
Are
F
Answer:
48°
Step-by-step explanation:
We solve the above question using circle theorem.
Finding x
The formula is given as
x = 1/2 (150° - 54°)
x = 1/2 (96)°
x = 48°
A quality control expert at a pretzel factory took a random sample of 101010 bags from a production run of over 500500500 bags and measured the amount of pretzels in each bag in the sample. The sample data were roughly symmetric with a mean of 450, and a standard deviation of 15
Based on this sample, which of the following is a 90%, percent confidence interval for the mean amount of pretzels per bag (in grams) in this production run?
Answer:
H0:μ=440 g
Ha:μ does not equal 440 g
Step-by-step explanation:
kahn
The 90% confidence interval for the mean amount of pretzels per bag (in grams) in this production run for this case is [441.31, 458.69] approximately.
How to calculate confidence interval for population mean for small sample?If the sample size is given to be n < 30, then for finding the confidence interval for mean of population from this small sample, we use t-statistic.
Let the sample mean given as [tex]\overline{x}[/tex] andThe sample standard deviation s, andThe sample size = n, and The level of significance = [tex]\alpha[/tex]Then, we get the confidence interval in between the limits
[tex]\overline{x} \pm t_{\alpha/2}\times \dfrac{s}{\sqrt{n}}[/tex]
where [tex]t_{\alpha/2}[/tex] is the critical value of 't' that can be found online or from tabulated values of critical value for specific level of significance and degree of freedom n - 1.
For this case, we're provided;
The sample mean given as [tex]\overline{x}[/tex] = 450The sample standard deviation s = 15The sample size = n = 10The level of significance = [tex]\alpha[/tex] = 100 - 90% = 10% = 0.1The critical value of t at level of significance 0.1 iand at degree of freedom 10-1=9 is:
Thus, the confidence interval in between the limits
[tex]450 \pm 1.833 \times \dfrac{15}{\sqrt{10}}[/tex]
or
[tex]450 \pm 8.69[/tex] approximately or 441.31 to 458.69 or we write it as: [441.31, 458.69] approximately.
Thus, the 90% confidence interval for the mean amount of pretzels per bag (in grams) in this production run for this case is [441.31, 458.69] approximately.
Learn more about confidence interval of population for small sample here:
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Clara visits the aquarium while on vacation. The aquarium is 2 1/2 from her hotel. She walks 1/4 mile to the bus stop, take the bus for 1 3/4 miles, and walks the rest of the way to the aquarium.
Answer:
1/2
Step-by-step explanation:
A container in the shape of a cylinder has a volume of 60 cubic meters. Its base has an area of 15 square units. What is the height of the container?
options
3m
2m
4m
5m
The answer would be 4m
In circle S with m RST = 104°, find the angle
104°, find the angle measure of minor arc RT
T
S
R
Answer:
104
Step-by-step explanation:
:)
Need Help On This Question!
Answer:
Just multiply the exponents of the numbers
So this is the order from top to below and I'll mark as 1 to 5
2
1
4
5
3
identify the pattern then write the next three terms in each sequence 2,8,32,128
Step-by-step explanation:
the difference is the previous term multiplied by 4 to get the next term
2,8,32,128,512,2048,8192
Hope that helps :)
Reagan rides on a playground roundabout with a radius of2.5 feet. To the nearest foot, how far does Reagan travel over an angle of 4π/3 radians?
Answer:
10 feets
Step-by-step explanation:
Given that:
Angle, θ = 4π/3
Radius, r = 2.5 feets
To obtain how Far Reagan traveled, we calculate the Length of the arc, s
s = r*θ
s = 2.5 feets * 4π/3
s = 10π/3
s = 10.4719
To the nearest foot ; distance traveled by Reagan is 10 feets
Mark is going to an awards dinner and wants to dress appropriately. He has one blue dress shirt, one white dress shirt, one black dress shirt, one pair of black slacks, one pair of grey slacks, and one red tie. All six of Mark's possible outfits are listed below.
Ir we take outfits 1, 2, 5, and 6 as a subset of the sample space, which of the statements below describe this subset?
Choose all answers that apply:
(Choice A)
The subset consists of all the outfits that do not have a white shirt.
(Choice B)
The subset consists of all the outfits that have either a blue shirt or a black shirt.
(Choice C)
The subset consists of all the outfits that have a black shirt.
(Choice D)
The subset consists of all the outfits that have a white shirt.
Solution:
Outfit Shirt Slacks Tie
Outfit 1 Blue Black Red
Outfit 2 Blue Grey Red
Outfit 3 White Black Red
Outfit 4 White Grey Red
Outfit 5 Black Black Red
Outfit 6 Black Grey Red
We take the outfits 1, 2 , 5 and 6 as a subset of the sample space.
So these 1, 2, 5 and 6 consists either a blue shirt or a black shirt.
The subset consists of all the outfits that do not have a white shirt.
So the correct options are :
1. (Choice A)
The subset consists of all the outfits that do not have a white shirt.
2. (Choice C)
The subset consists of all the outfits that have a black shirt.
You have 35 plants. You want to split them equally between 4 sections of your garden. You use as many as you can in each section. How many plants do you have left?
answer:
3 plants are left !
step-by-step explanation:
hi there!
first lets use our times table to see which number gets use closest to 35 when it is multiplied by 4
4, 8, 12, 16, 20, 24, 28, 32,
4 * 8
= 32
then you can just subtract 35 by 32 to get you final answer of
35 - 32
= 3 plants are left over
( i hope i did the problem right since the wording of it was kinda hard to understand it )
________________________________________________________
| | | | |
| 1 | 2 | 3 | 4 |
| | | | |
________________________________________________________
| | | | |
| 5 | 6 | 7 | 8 |
| | | | |
________________________________________________________
| | | | |
| 9 | 10 | 11 | 12 |
| | | | |
________________________________________________________
| | | | |
| 13 | 14 | 15 | 16 |
| | | | |
________________________________________________________
| | | | |
| 17 | 18 | 19 | 20 |
| | | | |
________________________________________________________
| | | | |
| 21 | 22 | 23 | 24 |
| | | | |
________________________________________________________
| | | | |
| 25 | 26 | 27 | 28 |
| | | | |
________________________________________________________
| | | | |
| 29 | 30 | 31 | 32 |
| | | | |
________________________________________________________
i made a table with each number being the plant! just in case your a visual learner like me!
but i hope this help you and if i made anything confusing or if i made a mistake please let me know! but other then that i hope you have a good rest of your day :)
There are 3 plants left.
What is Division method?
Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.
For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
Total number of plants = 35
And, You want to split them equally between 4 sections of your garden.
Now,
To find the left plants after splitting into 4 sections, we can divide and find the remainder as;
The number of left plants = 35 ÷ 4
4 ) 35 ( 8
- 32
-------
3
Clearly, The remainder = 3
Thus, There are 3 plants left.
Learn more about the divide visit:
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Here is an equation and all the steps Clare and Lin took to solve it. Are both of their solutions correct? Explain your reasoning.
Answer:
Both solutions are correct
Step-by-step explanation:
Given
Expression:
[tex]14x - 2x +3 = 3(5x + 9)[/tex]
See attachment for Clare and Lins' solution
Required
Determine if they are correct or not
[tex]14x - 2x +3 = 3(5x + 9)[/tex]
Open bracket
[tex]14x - 2x + 3 = 15x + 27[/tex]
Collect like terms
[tex]14x - 2x -15x = -3 + 27[/tex]
[tex]-3x = 24[/tex]
Divide by -3
[tex]x = \frac{24}{-3}[/tex]
[tex]x = -8[/tex]
Both solutions are correct
The sum of the first nine terms in a sequence is 49,205. Each term is 3 times the previous term. What is the third term?
Answer:
a₃ = 32 805Step-by-step explanation:
Each term is 3 times the previous term:
r = 3
The sum of the first nine terms in a sequence is 49,205:
[tex]S_n=a_1\cdot\dfrac{1-q^n}{1-q}\\\\\\49205=a_1\cdot\dfrac{1-3^9}{1-3}\\\\49205=a_1\cdot\dfrac{1-19683}{-2}\\\\49205=a_1\cdot9841\\\\a_1=5[/tex]
What is the third term?
[tex]a_n=a_1\cdot q^{n-1}\\\\a_3=5\cdot3^8=32805[/tex]
There are twice as many girls as boys in Mr. Terpathi’s 7th grade math class. Each of the girls gave him an oatmeal cookie, and each of the boys gave him a chocolate cookie. Mr Terpathi arranged the cookies in one row with a chocolate cookie farthest to the right. Which of the following must be true?
A. The cookie farthest to the left is chocolate.
B. The cookie farthest to the left is oatmeal.
C. There are at least two chocolate cookies next to each other.
D. There are at least two oatmeal cookies next to each other.
E. Mr. Terpathi received more chocolate cookies than oatmeal cookies.
Answer: D. There are at least two oatmeal cookies next to each other.
Step-by-step explanation:
Alright so basically we can use process of elimination to determine what is true or false so
A. States the farthest to the left is chocolate but we can't prove that because all we know is the cookie farthest to the right is chocolate so this is false
B. Same reason as A we cannot prove what cookie is farthest to the left because we are not given a pattern so B is false
C. Since there are definitely twice as many girls as boys in the class and that also means there are twice as many oatmeal cookies then we cannot prove that 2 chocolate cookies have to be next to each other so also false
D. This has to be true because if there are twice as many girls as boys and more oatmeal than chocolate then is whatever cookie line combinataion we will have at least 2 oatmeal cookies next to each other So this is true
E. This is most definitely not true because the question tells us that twice as many girls gave him oatmeal so if anything there are more oatmeal cookies
on a certain hot summer day 688 people used the public swimming pool. the daily prices are 1.75 for children and 2.00 for sdults the receipt for admission totaled 1293.50. how many children and how many adults swam at the public pool that day
Answer:
Number of children = x = 330
Number of adults = y = 358
Step-by-step explanation:
Let
Number of children = x
Number of adults = y
x + y = 688 (1)
1.75x + 2.00y = 1293.50 (2)
From (1)
x = 688 - y
Substitute x = 688 - y into (2)
1.75x + 2.00y = 1293.50
1.75(688 - y) + 2.00y = 1293.50
1,204 - 1.75y + 2.00y = 1293.50
- 1.75y + 2.00y = 1293.50 - 1,204
0.25y = 89.50
y = 358
Substitute y = 358 into (1)
x + y = 688
x + 358 = 688
x = 688 - 358
x = 330
Number of children = x = 330
Number of adults = y = 358
find x
answer choices
6
7
9
10
8
The answer should be 10
The Great Knightrola Small Monster Association has four chartered positions: President, Vice President, Treasurer, and Secretary; it also has 12 officers chosen at large. All of these seats must be filled by members of GKSMA, of which there are 50. No member may hold more than 1 position. How many different ways are there to fill the positions
Answer:
Number of different ways of filling the position is 8961115245946500
Step-by-step explanation:
There are total of 4 positions which can be arranged in 4! Ways
Like wise there are 12 positions. Hence the number of arrangements for these 12 positions would be 12!
Overall there are 12+4 = 16 positions in which 50 people needs to be arranged
Number of different ways of filling the position is
50P16 /(12! *4!)
= 8961115245946500
The number of different ways of filling the position is, 8961115245946500
There are total of 4 positions can be arranged in 4! Ways
Similarly there are 12 positions.
Therefore, the number of arrangements for these 12 positions is 12!
When we use the permutation?If there is an arrangement of the data then we use the permutation
Therefore we can say that there are 12+4 = 16 positions in which 50 people needs to be arranged.
The number of different ways of filling the position is,
[tex]50P16 /(12! *4!)[/tex]
By using the calculater you can find,
= 8961115245946500
To learn more about the permutation visit:
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hi help w/ this question pls i'll give u a brainly
Answer:
Keep adding 8 56 times subtract three which is 472
Step-by-step explanation:
mulitiply 59 times 8
Triangle ABC is an isosceles triangle where angles angle A and B are congruent of angle B measures 35 what is the measurement of angle c
Answer:
m<C = 110
Step-by-step explanation:
<a = <b
<b = 35 so,
<a = 35
<c = x
<a + <b + <c = 180
35 + 35 + x = 180
70 + x = 180
x = 180 - 70
x = 110
Find the midpoint of the segment with the following endpoints.
(9,6) and (5,2)
Answer:
[tex]M(7 ; 4)[/tex]
Step-by-step explanation:
midpoint -M
[tex]M(\frac{x_{1}+x_{2}}{2} ; \frac{y_{1}+y_{2}}{2} )[/tex]
[tex]M(\frac{9+5}{2} ; \frac{6+2}{2} )[/tex]
[tex]M(7 ; 4)[/tex]
Answer:
(7, 4 )
Step-by-step explanation:
Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
( [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] )
Here (x₁, y₁ ) = (9, 6) and (x₂, y₂ ) = (5, 2) , then
midpoint = ( [tex]\frac{9+5}{2}[/tex] , [tex]\frac{6+2}{2}[/tex] ) = ([tex]\frac{14}{2}[/tex] , [tex]\frac{8}{2}[/tex] ) = (7, 4 )
find the value of x and y, special right triangles
Answer:
25 and 135
Step-by-step explanation:
you see that the small square equals 90
Jane needs 6 1/2 of fabric to make a dress. She has one piece of fabric that is 1 1/2 yards and another piece of fabric that is 3 1/4 yards. How many more yards of fabric does Jane need to make the dress?
Answer:
1 1/2
Step-by-step explanation:
1 1/2 + 3 1/2 = 5
6 1/2 - 5 =1 1/2
I would love some help pls, if anyone could talk me through it, that would be phenomenal I have no clue what’s going on lol
Answer:
B) 7x - 3 = 4
Step-by-step explanation:
3x - 12 = -9
3x = 3
x = 1
A) NOPE
x - 5 = -6
x = -1
B) YES
7x - 3 = 4
7x = 7
x = 1
Please help me with the question please ASAP I’ll mark u as a brnlist
*2 questions
Answer:
First answer is 76.50 and the second one is scale factor of 1/2
Step-by-step explanation: Mark brainlist or im deleting my answer :)
Answer:
scale factor = [tex]\frac{3}{2}[/tex]
Step-by-step explanation:
The scale factor is the ratio of corresponding sides, image to original, that is
scale factor = [tex]\frac{WX}{AB}[/tex] = [tex]\frac{12}{8}[/tex] = [tex]\frac{3}{2}[/tex]
------------------------------------------
1 pizza costs $12.75 and feeds 4
To feed 24 students he needs 24 ÷ 4 = 6 pizzas , then
6 cost = 6 × $12.75 = $76.50
what are the answers to a, b, c, d?
Answer:
Step-by-step explanation:
HELP PLS MARKING BRAINLIEST SHOW WORK IF YOU CAN IF NOT ITS COMPLETELY FINE JUST DO IT
Answer:
1824 in.
Step-by-step explanation:
First find the area of the two shapes you split that are the rectangle and triangle:
Rectangle Area:
48 * 32 = 1536
Area- 1536 in.
Triangle Area:
48 * 12 * 1/2
or
48 * 12 divided by 2
= 288 in.
Now add the two areas up:
1536 + 288 = 1824 in.
Answer:
1824
Step-by-step explanation:
I assume you want to find the area of the shape. So in order to find the area of the triangle it is height times base than divide it by 2 which looks like this
(12*48)/2 which equals 576
than to find the area of the rectangle it is height times width which is
48*32 which equals 1536
add them together and you get 1824
how to write 6 in a expanded form?
Answer: 6 × 1
To write a number in expanded form, add the places by it's number.
Ex: 231 → 200 + 30 + 1 = 231
In the problem, 6 is what we're expanding.
Since 6 is only just 1 digit, it is possible to expand a 1 digit number. All you'll need to do it multiply the digit by 1.
6 → 6 × 1 = 6
Therefore, 6 × 1 is the expanded form of 6.
hlp help help plsssssssssssss
Answer:
A
Step-by-step explanation:
Think about the square root of 64, which is 8. It will only be slightly higher than 8, which will not even be .5, so 8 is the closest number.
Phil has 5 times as many toy race cars as Richard has. Phil has 425 toy race cars. How many race cars does Richard have? *
Answer:
85
Step-by-step explanation:
425 divided by 8= 85
Answer:
He as 85 race cars.
Step-by-step explanation:
Just divide 425 by 5 and you have your answer.
