6 hours
Step-by-step explanation:The two hoses together take 1/3 the time (4/12 = 1/3), so the two hoses together are equivalent to 3 of the first hose.
That is, the second hose is equivalent to 2 of the first hose. Two of the first hose could fill the vat in half the time one of them can, so 6 hours.
The second hose alone can fill the vat in 6 hours.
_____
The first hose's rate of doing work is ...
... (1 vat)/(12 hours) = (1/12) vat/hour
If h is the second hose's rate of doing work, then working together their rate is ...
... (1/12 vat/hour) + h = (1/4 vat/hour)
... h = (1/4 - 1/12) vat/hour = (3/12 -1/12) vat/hour = 2/12 vat/hour
... h = 1/6 vat/hour
so will take 6 hours to fill 1 vat.
The second hose can fill the vat alone in 6 hours, calculated by subtracting the work rate of the first hose from their combined work rate.
Explanation:The question is about the time it would take for the second hose to fill the large vat alone, given that the first hose takes 12 hours alone, but together they take 4 hours. We are not given any info about the hose size or flow rate, so those don't need to be involved here.
We can analyze this problem in terms of work done. We know that one hose can fill the vat in 12 hours, so its work rate is 1/12 of the vat per hour. When we add the second hose, the vat is filled in 4 hours. The combined work rate of both hoses is 1/4 of the vat per hour.
To find the work rate for the second hose, we subtract the work rate of the first hose from the combined work rate: 1/4 - 1/12 = 1/6. This means the second hose can fill the vat in 6 hours alone.
Learn more about work rate here:https://brainly.com/question/14305692
#SPJ3
One square tile on your kitchen floor is 11.2511.25 inches long. It takes 12.512.5 tiles to cover the length of the floor. About how long is the floor?
Answer:
Length of the floor is about 11.75 feet.
Step-by-step explanation:
It is given that, it takes 12.5 tiles to cover the length of the floor.
The length of each square tile is 11.25 inches. So, if 12.5 tiles each of length 11.25 inches are joined, we will get to know the length of the floor.
So, the length of the floor is,
[tex]11.25 \times 12.5[/tex]
[tex]=140.625 \text {in}[/tex]
So the length of the floor is 140.625 inches or we can say roughly about 141 inches.
We can convert this length into feet.
1 feet = 12 inches, so the length of the floor in inches is,
[tex]\frac{141}{12} =11.75 \text {ft}[/tex]
So the length of the floor is 11.75 feet.
Six groups of students at 162 balloons at school carnival with three students in each group
Answer:
9 balloons per student and 27 per group of 3 students.
Step-by-step explanation:
We have 6 groups of students with 3 students in each group. This means in group 1 there is 3. Groups 2 has 3. Group 3 has 3. Group 4 has 3. Group 5 has 3. Group 6 has 3.
So there are 3+3+3+3+3+3=18 total students.
The school carnival has 162 balloons, how much will each student have?
We will divide 162 balloons by the total number of 18.
162/18=9
9 balloons per student and 27 per group of 3 students.
Apple stock plummets and now you have to decide if you hold onto your stock in the hopes that it goes back up, or sell it at a loss. Apple stock is now selling or $54.76 a share. You have 2 shares. When you first bought them their total value was $226.10. What is their total value now?
The total value of 2 Apple shares at $54.76 each is $109.52, resulting in a loss of $116.58.
To calculate the total value of your Apple stock now, we'll first determine the total value of your shares at their current price and then compare it to their original total value.
Current price per share: $54.76
Number of shares you own: 2
Total value of your shares now:
= Current price per share × Number of shares
= $54.76 × 2
= $109.52
Original total value of your shares: $226.10
Now, let's compare the current total value with the original total value:
Current total value: $109.52
Original total value: $226.10
As the current total value is less than the original total value, it indicates a loss.
To find out the loss incurred, we subtract the current total value from the original total value:
Loss = Original total value - Current total value
= $226.10 - $109.52
= $116.58
Therefore, the total value of your Apple stock now is $109.52, and you have incurred a loss of $116.58.
The total value of your 2 shares of Apple stock now is $109.52.
To determine the total value of your Apple stock now, we first need to calculate the total value of the stock when you first bought it and then compare it to the current value.
1. Initial Total Value: You initially bought 2 shares of Apple stock. Let's denote the initial price per share as P. The total value initially is the product of the number of shares and the initial price per share.
Initial total value = Number of shares * Initial price per share
Initial total value = 2 shares * Initial price per share = $226.10
2. Initial Price per Share: To find the initial price per share, we divide the initial total value by the number of shares.
Initial price per share = Initial total value / Number of shares
Initial price per share = $226.10 / 2 shares = $113.05 per share
3. Current Total Value: Now, we find the current total value of your 2 shares at the current price per share, which is $54.76.
Current total value = Number of shares * Current price per share
Current total value = 2 shares * $54.76 per share = $109.52
So, the total value of your 2 shares of Apple stock now is $109.52.
Trever and Marisa together have 28 t shirts to sell if marissa has 4 fewer t shirts than trevor find how many t shirt Trevor has
Answer:
Trevor has 16 number of shirts
Step-by-step explanation:
We have been given that Trevor and Marisa together have 28 t shirts to sell if Marissa has 4 fewer t shirts than Trevor
let the number of shirts Trevor have be x
And since, Marissa has 4 fewer than Trevor so number of shirts Marissa will have be x-4
Hence, according to question equation becomes:
x+x-4=28
We will solve for x to find the number of t shirts Trevor has
2x -4 =28
2x = 32
x =16
Hence, Trevor has 16 number of shirts
WILL MARK BRAINLIEST!!!!!! 25 PTS
If AB is congruent to BC, can you prove the triangles congruent by SAS. Please explain why or why not.
Answer:
no
Step-by-step explanation:
SAS stands for side angle side. so in this question we know that one side is equal to another side, but we don't know wether or not there is another angle and another side that is congruent. so for that reason it is not congruent by SAS.
What is the value of x in the equation 2^2x = 2^3?
A.) x = 1.5
B.) x = 3
C.) x = 64
D.) x = 0.28
Answer:
B
Step-by-step explanation:
Real estate values in a town are increasing at a rate of 14% per year.
Mrs. Knoxville purchased a building for $590,000 in 2012.
How much can she expect to sell the building for in 2020, assuming this trend continues?
Enter your answer in the box.
Round to the nearest whole dollar.
Answer:
$1,093,026
Step-by-step explanation:
We have been given that real estate values in a town are increasing at a rate of 14% per year. Mrs. Knoxville purchased a building for $590,000 in 2012.
We are told that real estate values are increasing at a rate of 14%, this means that values of real estates are increasing exponentially.
Since we know that an exponential function is in form: [tex]y=a*b^x[/tex]; for growth b=(1+r), where r= growth rate in decimal form.
a= Initial value.
Let E(t) be value of real estates t years after 2012. Now let us substitute our given values in exponential function form.
Upon converting our increase rate to decimal form we will get,
[tex]14\text{ percent}=\frac{14}{100}=0.14[/tex]
[tex]E(t)=590,000*(1+0.14)^t[/tex]
[tex]E(t)=590,000*(1.14)^t[/tex]
Now let us substitute the value for building in 2020 by substituting t=8 as 2020-2012=8.
[tex]E(2020)=590,000*(1.14)^8[/tex]
[tex]E(2020)=590,000*2.8525864220672256[/tex]
[tex]E(2020)=1,683,025.989019663104\approx 1,683,026[/tex]
Now let us subtract 590,000 from 1683026 to find the amount that Mrs. Knoxville can get from selling the building.
1,683,026-590,000=1,093,026
Therefore, Mrs. Knoxville can get $1,093,026 from selling the building.
Mr. Andrews has a classroom of 45 students. He wants to divide them equally into 5 teams for a group project.
How many students will be on each team? what the answer
Answer:
9
Step-by-step explanation:
45/5 = 9
Each unit costs 14p how much does942 cost?????????????????????????????????????????????????????????????????????????????????????????????????????????????????
Answer:
13188
Step-by-step explanation:
Huntington Park officials approved a rectangular plot of land for a Japanese Zen garden. Is it sufficient to know that opposite sides of the garden plot are congruent and parallel to determine that the garden plot is rectangular? Explain
Answer: No, it is not sufficient to know that opposite sides of the garden plot are congruent and parallel to determine that the garden plot is rectangular.
Step-by-step explanation:
1. You have the following information given in the problem:
- Opposite sides of the garden plot are congruent.
- Opposite sides of the garden plot are parallel.
2. Therefore, keeping the information above on mind, you can conclude that the description is about a parallelogram, but to determine that it is rectangular, you need to know that the four interior angles measure 90° and the diagonals are congruent.
What is the greatest possible integer value of x for whichsquare root of x-5 is an imaginary number?
Answer: 4
Step-by-step explanation:
√x imaginary if and only if x < 0
√(x-5) imaginary ifi x-5 < 0
x<5
4 is the largest integer < 5.
Answer: It is 4
Step-by-step explanation: I got it correct on mines.
WILL MARK BRAINLIEST!!! PLEASE HELP!!!! Triangle RDW below is a right triangle. Line RW is 26 units, Line WD is 24 units, and Line DR is 10 units. The measure of angle W is 50°. Find the sine W.
A. 5/10
B. 5/13
C. 13/5
D. 12/13
Answer:
5/13
Step-by-step explanation:
sine W = sine 50 degrees = opposite /hypotenuse
= 10/26
= 5/13
Final answer:
The sine of angle W in the right triangle is the ratio of the side opposite to angle W (24 units) to the hypotenuse (26 units). Therefore, the sine of angle W is 12/13(option D).
Explanation:
The problem describes a right triangle with sides of length 26 units, 24 units, and 10 units, and it asks for the sine of angle W, which is known to be 50 degrees. In a right triangle, the sine of an angle is the ratio of the length of the opposite side to the angle over the length of the hypotenuse. Thus, to find the sine of angle W, we need the opposite side to angle W, which is WD measuring 24 units, and the hypotenuse RW, measuring 26 units.
The sine of angle W is calculated by the formula
sine of angle W = WD\RW
24\26
12\13
When you want to change a cell color, which menu should you select?
A) Fill drop-down menu
B) Font size drop-down menu
C) AutoSum drop-down menu
D)Shapes drop-down menu
To change a cell color in a spreadsheet program, one should select the Fill drop-down menu, found in the Home tab, to choose and apply a new color to the cell.
Explanation:When you want to change a cell color in a spreadsheet program such as Microsoft Excel, you should select the A) Fill drop-down menu. This is the option that allows you to change the background color of a cell. You can typically find the Fill drop-down menu in the Home tab of the ribbon at the top of your spreadsheet application. To change a cell's color, you simply click on the cell you want to format, then go to the Home tab, click the Fill drop-down menu, and choose the color you wish to apply.
Anthony who is 5 feet tall stands 20 feet from a lamppost and casts a shadow that is 10 feet long. If he moves 5 feet closer to the lamppost how long will his shadow be?
A recipe that will make 3 pies calls for 7cups of flour. How many pies can you make with 28 cups of flour?
Matrix M shows the one-way fares for four commuter train routes. Suppose the rail service lowers all fares by 15%. Which formula shows how to find the matrix that would display the new fares?
A) 0.15M
B) 0.85M
C) 1.15M
D) M - 0.15
Answer:
B) 0.85M
Step-by-step explanation:
The new fare schedule is the current fare schedule reduced by 15% of current fares:
... M - 0.15M = 0.85M
Find h(x) if it is known that h(x+5)=3x+18.
[tex]h(x+5)=3x+18\\\\h(x)=mx+b\to h(x+5)=m(x+5)+b=mx+5m+b\\\\\text{Therefore we have}\ m=3\ \text{and}\\\\5m+b=18\to5(3)+b=18\\\\15+b=18\qquad\text{subtract 15 from both sides}\\\\b=3\\\\Answer:\ \boxed{h(x)=3x+3}[/tex]
To find the function h(x) when given h(x+5)=3x+18, we substitute x with (x-5) in 3x+18 to make h(x) = 3x+3.
Explanation:To find the function h(x), we need to replace (x+5) in the equation with x. The given equation is h(x+5)=3x+18.
We know that if we substitute x+5 with x in h(x+5), we must also substitute the x in 3x+18 with (x-5) to keep the equation and function consistent.
So, we replace x with (x-5) in 3x+18, and our new equation will be 3(x-5)+18.
This simplifies to 3x - 15 + 18, which further simplifies to 3x+3.
Consequently, the function h(x) = 3x+3.
Learn more about Functions here:https://brainly.com/question/35114770
#SPJ2
What number goes in the box so that \[x^2 + \boxed{\phantom{00}}x + 100\]is the square of a binomial? If you find more than one, give your answer as a list.
Since [tex]100=(\pm10)^2[/tex], the idea here is to find [tex]b[/tex] such that
[tex](x\pm10)^2=x^2+bx+100[/tex]
Expanding the left side completely, we find two possibilities:
[tex]x^2\pm20x+100[/tex]
so that [tex]b[/tex] can be either positive or negative 20.
The answer will be ±20
Let us consider a binomial (x ± a)
now squaring it we get [tex]x^{2}[/tex] ± 2ax + [tex]a^{2}[/tex]
If we compare it to the question we get [tex]a^{2} =[/tex] 100
⇒ a = ±10
According to the question we have to find the value of 2a
2a = 2×(±10) = ±20
Hence ±20 is the answer.
Learn more about binomial expansion:
https://brainly.com/question/12250823
A problem states: "There are 2 more horses than cows in a field. There are 16 animals in the field in all. How many horses are there in the field?"
Let h represent the number of horses.
Which equation represents the situation?
2h + 2 = 16
h + 2 = 16
2(h+2)=16
2h−2=16
Answer:
Correct choice is D
Step-by-step explanation:
Let h represent the number of horses. If there are 2 more horses than cows in a field, then (h-2) represent the number of cows. In total there are h+(h-2) animals. It is known that there are 16 animals in the field in all, then
h+h-2=16,
2h-2=16.
Find the cos(Θ) of an angle in standard position if the terminal side passes through the point (4, -8).
Note: Answer choices attached below
Look at the picture.
[tex]r=\sqrt{x^2+y^2}-\text{from the Pythagorean theorem}\\\\\sin\theta=\dfrac{y}{r}\\\\\cos\theta=\dfrac{x}{r}\\\\\tan\theta=\dfrac{y}{x}\\\\\cot\theta=\dfrac{x}{y}[/tex]
We have the point
[tex](4,\ -8)\to x=4,\ y=-8[/tex]
Calculate r:
[tex]r=\sqrt{4^2+(-8)^2}=\sqrt{16+64}=\sqrt{80}=\sqrt{16\cdot5}=\sqrt{16}\cdot\sqrt5=4\sqrt5[/tex]
Substitute:
[tex]\cos\theta=\dfrac{4}{4\sqrt5}=\dfrac{1}{\sqrt5}\to\boxed{C)}[/tex]
What are the next three terms of 50,150,450,1350,...
Answer: 4,050, 12,150, 36,450
Step-by-step explanation: multiply each following number by 3
Answer:
4050; 12150; 36450
Step-by-step explanation:
[tex]a_5 = 50.3^4 \\\ a_5 = 4050 \\\ a_6 = 50.3^5 \\\ a_6 = 12150 \\\ a_7 = 50.3^6 \\\ a_7 = 36450[/tex]
I hope I helped you.
A triangle has sides measuring 5 inches and 8 inches. If x represent the length in inches of the third side , which inequality gives the range of possible values for x ?
If a, b and c are the lengths of the sides of a triangle then
if a ≤ b ≤ c, then a + b > c.
1. x ≤ 5 ≤ 8 then x + 5 > 8 → x > 8 - 5 → x > 3 therefore 3 < x ≤ 5.
2. 5 ≤ x ≤ 8 then 5 + x > 8 → x > 3 therefore 5 ≤ x ≤ 8
3. 5 ≤ 8 ≤ x then 5 + 8 > x → 13 > x → x < 13 therefore 8 ≤ x < 13.
Answer: 3 < x < 13 → S = (3, 13)Answer:
3 < x < 13
Step-by-step explanation:
Since, a triangle is possible when the sum of any two sides is greater than the third side,
Given,
The sides of the triangle are 5 inches and 8 inches,
If x shows the third side,
Then, by the above statement,
x < 5 + 8 ⇒ x < 13
5 < x + 8 ⇒ -3 < x
8 < x + 5 ⇒ 3 < x
Hence, the required inequality gives the range of possible values for x is,
3 < x < 13
You earn $1,166 gross taxable income every week, and have claimed no exemptions. Assuming that you have no other sources of income, what is the amount of income tax withheld each week? a. $323 b. $337 c. $340 d. $344Please select the best answer from the choices provided
Answer:
C
Step-by-step explanation:
Gross taxable Income = $ 1,166
Rate of Income tax = 30%
Amount of income tax = 30 % of 1,166
= [tex]\frac{30*1166}{100}[/tex]
=$339.6
≅$340
Answer:
$340
Step-by-step explanation:
Give a real world example of two similar situations in which one is proportional relationship and the second one is non proportional
Real world examples of proportional and non-proportional relationships can be observed in the relationship between the distance a car travels and the fuel consumed (proportional), and in an employee's pay scale (non-proportional).
Explanation:In the real world, one can identify numerous examples related to proportional and non-proportional relationships. For instance, consider the relationship between distance and fuel consumption in a car. Here, a car maintains a set distance per gallon ratio, which is a proportional relationship - if distance doubles, fuel consumed also doubles.
Contrasting this, the pay scale in many workplaces may illustrate a non-proportional relationship. For instance, if an employee works overtime, he/she may earn a higher rate, different from their regular hourly wage. In this case, a doubling of hours worked does not necessarily equate to a doubling of the total salary.
Learn more about Proportional and Non-Proportional Relationships here:https://brainly.com/question/34234577
#SPJ3
PLEASE HELP The Brick Corporation pays its cumulative preferred stockholders $1.95 per share. There are 40,000 shares of preferred stock and 80,000 shares of common stock. In 2001, 2002, and 2003, Brick Corporation did not declare a dividend. In 2004, the Board of Directors declared a $600,000.00 dividend. What is the amount that the common shareholder will receive per share?
Answer:
$5.00
Step-by-step explanation:
Dividend Per Share = Total Dividends Paid / Shares Outstanding
How many shares outstanding?
Preferred stock + common stock
80,000+40000=120000
Dividend Per Share = $600,000.00 /120000
=$5.00
The preferred shareholder gets 1.95 per share plus dividends.
The common shareholder only gets dividends.
Answer:
$3.60
Step-by-step explanation:
The lee family buys a new car that has a sales price of 35,000. If the car dealer requires minimum down payment of 15% what is the minimum down payment the lees must pay for their car?
Answer:5250.00
Step-by-step explanation: percents are a multiplication so 35,000×15=5250.00
Answer:
$5,250
Step-by-step explanation:
The less must pay a minimum down payment that is equivalent to 15% the sales price of the new car.
Given that the price of the new car is $35,000, the product of 15% with this amount will equal the down payment.
As such, the down payment
= 15% * $35,000
= 0.15 * $35,000
= $5,250
The beginning balance of Zerina's savings account for the month of July was $1800 and it remained this way for the first 12 days of the month. On July 13, Zerina made a withdrawal of $400, so her balance changed, and it remained the same for a total of 8 days. On July 21, Zerina made a deposit of $1200, so her balance changed again, and it remained the same for 11 days to finish out the month. If Zerina's savings account has an APR of 7.3%, calculates interest daily, and pays interest at the end of the month, how much did Zernia earn in interest in the month of July?
Answer:
Interest income in the month = $12.28
Final balance = 2612.28
Step-by-step explanation:
The initial amount of $1800 remains in the account for the first 12 days of July. Then:
Interest earned = [tex]\frac{1800 * 0.073 * 12}{365} = 4.32[/tex]
Withdrawal = 400
New balance = 1800 - 400 = 1400
The amount 1400 remains in the account for 8 days. Then:
Interest Earned = [tex]\frac{1400 * 0.073 * 8}{365} = 2.24[/tex]
Deposit = 1200
New balance = 1400 + 1200 = 2600
The amount 2600 remains in the account for 11 days. Then:
Interest Earned = [tex]\frac{2600 * 0.073 * 11}{365} = 5.72[/tex]
Balance = 2600 + 4.32 + 2.24 + 5.72 = 2612.28
Interest income in the month = 4.32 + 2.24 + 5.72 = $12.28
Plz help
Which expression is equal to 228−−√−563−−√ ?
−377√
−7√
7√
−117√
Answer:
the correct answer is -11v7
Step-by-step explanation:
The correct expression that is equal to (2√28 - 5√63) is;
Option D; -11√7
The correct question is;
Which expression is equal to 2√28 - 5√63
The correct options are in the link at the end of this answer.
The given expression is in surd form. To solve it, we first have to break down the numbers inside the square roots into a product of two numbers with one of the numbers being a perfect square.
We know that;
28 can be expressed as 7 × 4 = 28
Also; 63 can be expressed as 7 × 9 = 63
Thus;
2√28 - 5√63 will be written as; 2√(7 × 4) - 5√(9 × 7)
From product law of surds, we know that;
√(a × b) = √a × √b
Thus, our expression is;
2(√4 × √7) - 5(√9 × √7)
⇒ 2(2√7) - 5(3√7)
⇒ 4√7 - 15√7
Factorize √7 out to get;
(4 - 15)√7
⇒ -11√7
Read more at; https://brainly.com/question/13937081
Nancy is 5 yrs younger than her brother stan last year she was half as old as he was how old are they both
Answer: 11 and 6
Step-by-step explanation:
I think this is it because she is 5 years younger and last year she was half of his age so he was 10 then you have to add another year to their age because that was last year, 5+1=6, 10+1=11. but im not completely sure so if you can wait for someone else or if you agree go ahead and answer it.
We'll call the ages n and s
Nancy is 5 yrs younger than her brother Stan
n = s - 5
Last year she was half as old as he was
n - 1 = (1/2) ( s - 1 )
We substitute for n
s - 5 - 1 = (1/2) (s - 1)
2s - 12 = s - 1
s = 11
n = s - 5 = 6
Answer: Nancy is 6, Stan is 11
Check:
Clearly they're five years apart. Last year they were 5 and 10, half, good.
(15 points)
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Find the leg of each isosceles right triangle when the hypotenuse is of the given measure.
Given = 5√6
Answer:
Each of the legs of isosceles right triangle is 5[tex]\sqrt{3}[/tex]
Step-by-step explanation:
Watch the attached figure for the isosceles right angled triangle
Looking at the figure we see that AB=5√6 and BC=CA
According to the Pythagorean theorem the square of the hypotenuse is equal to the sum of the squares of the other two sides of a right triangle.
1) Applying the Pythagorean theorem to the isosceles right triangle, we have
[tex]BC^{2} + CA^{2} = AB^{2}[/tex]
2) Let BC=a and CA=a as they both are equal
So,
[tex]a^{2} + a^{2} = (5\sqrt{6} )^{2}[/tex]
=> [tex]2a^{2} = (5\sqrt{6} )(5\sqrt{6} )[/tex]
=> [tex]2a^{2} = 5*5*\sqrt{6}*\sqrt{6}[/tex]
=> [tex]2a^{2} = 25*6[/tex] (since √6*√6 = (√6)²= 6)
=> [tex]2a^{2} = 150[/tex]
3) Dividing both sides by 2, we get
[tex]\frac{2a^{2} }{2} =\frac{150}{2}[/tex]
4) Cancelling out the 2's on the left, we get
[tex]a^{2}[/tex] = 75
5) Taking the square root on both sides, we have
[tex]\sqrt{a^{2}} = \sqrt{75}[/tex]
=> a = 5[tex]\sqrt{3}[/tex]
So,
Each of the legs of isosceles right triangle is 5[tex]\sqrt{3}[/tex]
Answer:
Hi :) if you're coming from heritage and/or your answer needs a 2 in it, it would be 6 sqrt 2
Step-by-step explanation: