A hose fills a hot tub at a rate of 3.45 gallons per minute. How many hours will it take to fill a 280 -gallon hot tub?
It will take approximately 1.35 hours to fill the 280-gallon hot tub.
We have,
A hose fills a hot tub at a rate of 3.45 gallons per minute.
This can be written as an expression:
3.45 gallons = 1 minute
Now,
Multiply 280/3.45 on both sides.
280/3.45 x 3.45 gallons = 280/3.45 minutes
280 gallons = 81.16 minutes
Now,
81.16 minutes can be converted into hours.
Divide 81.16 by 60.
So,
81.16/60 = 1.35 hours
Therefore,
It will take approximately 1.35 hours to fill the 280-gallon hot tub.
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Solve 120000/1+48e^0.015t=24e^0.055t
Jeremy is making a trail mix containing raisins and peanuts. Raisins cost $1.50 per pound. Peanuts cost $2.50 per pound. Jeremy spends $10.50 to make 5 pounds of trail mix. He uses the table below to organize this information. Which equation can Jeremy use to determine the amount of raisins in the trail mix?
a.r + 1.50 = 1.5r
b. r + (5 – r) = 5
c. 1.5r + 2.5(5 – r) = 10.50
d. 1.5r + 2.5(5 – r) = 5
Answer:
Option C.
Step-by-step explanation:
Let Jeremy mixes "r" pounds of raisins to make a trail mix.
As the total weight of trial is = 5 pounds
So weight of peanuts in the trail mix will be = (5 - r )
Now cost per pound of raisins = $1.50
so cost of r pounds of raisins = $1.50(r)
Cost of the peanuts = $2.50 per pound
so cost of (5 - r) pounds peanuts = $2.50(5 - r)
Jeremy spends total amount = $10.50
So expression will be
Cost of Raisins + cost of peanuts = cost of trail.
1.5r + 2.5(5 - r) = 10.50
Option C. is the answer.
In a '20% off' sale, a coat was £220. Work out the original price.
NEED HELP ASAP!!! Susan makes $5 per hour babysitting and $7 per hour as a life guard. Her goal is to make at least $140. which of the following represents three possible solutions to the problem?
A company's profit is described by the equation P(x)=-5x^2+300x+15,000
Where x is the price in dollars that the company charges for its product. What should the company charge for the product to generate the maximum profit?
A)$20
B)$30
C$50
D$60
The company charge for the product to generate a maximum profit is $30. Then the correct option is B.
What is differentiation?The rate of change of a function with respect to the variable is called differentiation. It can be increasing or decreasing.
A company's profit is described by the equation
[tex]\rm P(x)=-5x^2+300x+15000[/tex]
Where x is the price in dollars that the company charges for its product.
Differentiate the equation with respect to x.
[tex]\rm \dfrac{dP(x)}{dx}=-10x+300[/tex]
For the maximum price
[tex]\rm \dfrac{dP(x)}{dx} = 0\\[/tex]
Then we have
[tex]\begin{aligned} \rm -10x+300 &= 0\\\\\rm 10x &= 300\\\\\rm x &= 30 \end{aligned}[/tex]
Then the company charge for the product to generate the maximum profit is 30 dollars for each.
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Jamie was surveying students about their use of the new computer lab in a school. Which question in the survey is a STATISTICAL QUESTION?
A.) How qualified is the trainer at the computer lab?
B.) Where is the computer lab located in the school?
C.) What is the number of learning stations at the computer lab?
D.) How many class projects did you complete using the computer lab?
Answer with explanation:
To know the use of Computer Lab in the School
A Survey has been done.Out of the four Question asked,
The education of the trainer in the computer Lab does not come into consideration,to know the use of computer lab in the school, the use of computer lab can be known only by whether students are getting well versed with Computer and it's applications or not.
Number of Learning Stations in the computer lab, also can't tell the use of computer Lab in the school, because we have to check knowledge of the students about computers to know the better use of the Lab.
So, number of Class projects, or in my own words A test on computer awareness and It's software tools will be a better survey Question.
Option D is the question in the survey is a STATISTICAL QUESTION.
(D) How many class projects did you complete using the computer lab?
From 9:00 AM to 12:00 PM, Linda's stock portfolio increased in value from $2,500 to $6,400. If Linda's portfolio continues to grow at this rate, how much will it be worth at 2:30 PM?
What fraction is equivalent to the repeating decimal 0.18
Eric goes for a walk every night after work. A map of the route has a scale of 1:20,000, in cm.
If Eric walked 1.2 kilometers on Monday night, how many cm is the route on the map?
What is the true solution on 2 in e ^in 5x=2 in 15
susan surveys 20 people in her math class to find out the most popular movie. 5 students say star wars if the are 200 students in the total 7th grade using a proportion find out how many students susan would expect to like Star Wars
Answer:
50 people
Step-by-step explanation:
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On a map with a scale of 2 cm = 1km, the distance from Beau's house to the beach is 4.6 centimeters. What is the actual distance?
2.3
since 2 cm=1k you divide by 2
What must you do if you multiply one number in a ratio by n?
The vanishing point of the picture is represented by point B.
A) The measure of angle ABD is is 6.2 times greater than the measure of angle CBD. Find the measure of angle CBD.
B) Angle FBE and angle EBD are congruent. Find the measure of angle FBE.
To solve this, we use the fact that angles around a point add up to 360 degrees and angles on a straight line add up to 180 degrees. This allows us to find angle CBD to be 50 degrees and angle FBE to be 130 degrees.
Explanation:The subject of this question is geometry, specifically it deals with the properties of angles around a point. In the first part of the question, we are told that angle ABD is 6.2 times greater than angle CBD and we are asked to find the measure of angle CBD. As the total angle around a point is 360 degrees, we can set up the equation ABD + CBD = 360. Given that ABD = 6.2 * CBD, we can replace ABD in our equation, resulting in 6.2* CBD + CBD = 360, solving this gives us CBD = 360/7.2 = 50 degrees.
In the second part of the question, we're told that angle FBE and angle EBD are congruent. This means they have the same measure. Since angle EBD is adjacent to angle CBD and they form a straight line together, their measures add to 180 degrees. Since we already found angle CBD to be 50 degrees, thus angle EBD (or FBE) is 180 - 50 = 130 degrees.
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how many 1 cup servings can be poured from 1 gallon of milk?
Help I don’t know the answer to this question
How to solve these kind of questions.
what does it mean if the quotient times the divisor does not equal the dividend? What should you do?
Final answer:
When the quotient times the divisor does not equal the dividend, it means there is a remainder. Depending on the context of the problem, you can round down, express the remainder as a fraction or decimal, or choose another appropriate method.
Explanation:
When the quotient times the divisor does not equal the dividend, it means that the division did not result in an exact whole number. This is called a remainder. For example, if you divide 15 by 4, the quotient is 3 and the remainder is 3. So, 3 times 4 does not equal 15.
If you encounter this situation, you can do a few things. You can round the quotient down to the nearest whole number, or you can express the remainder as a fraction or decimal. It depends on the context of the problem and what is required.
For example, if you are dividing cookies among friends, you may want to express the remainder as a fraction, saying each friend gets 3 and a half cookies. But if you are calculating the number of whole boxes needed, you may round down to 3 boxes.
Nora created a flag that was shaped by the triangle below.
'\
' \
5in. ' \
' \
'-----------
12in
What is the measure of the third side of the triangle?
A.13in
B.14in
C.17in
D.16in
Hideki throws a baseball ball upward with an initial velocity of 12 meters/sec. When he throws the ball, it is two meters above the ground. How long will it take the ball to hit the ground?
Answer:
-4.9^2 + 12t + 2 = 0
Step-by-step explanation:
A simulated game of chess is programmed between two computers. The game is supposed to be biased in favor of player B winning 4 out of 5 times. Which is the most suspicious set of outcomes of 30 games played between the two computers?
AABABBBABBBBBBBBABBBABBBBBBBBA
ABBABBAABBBBBABBBBBBBBBBBBBABB
ABBABABABABBABABABABABABABABAA
ABBABBBABBBBBBBBABBBABBBBBBBBB
Answer:
ABBABABABABBABABABABABABABABAA
Step-by-step explanation:
Player B is supposed to be winning 4 out of 5 times. This means that Player A is supposed to win 1 out of 5 times.
This means out of 30 games, player A should win roughly 1/5(30) = 6 times.
In the first list, player A wins 7.
In the second list, player A wins 6.
In the third list, player A wins 15. This is much different.
In the fourth list, player A wins 5.
Name the algebraic property that is being shown in the example: 4(x+3) = 4x + 12
Cereal companies often advertise with statements like "collect all 8 dinosaurs" or "one in each specially marked box." Assume that the company sells an equal number of boxes with each type of dinosaur. If you wanted to collect all eight dinosaurs, does this mean that you will only have to purchase eight boxes of cereal? This investigation will help you better understand how theoretical probability compares to experimental probability.
Here are your goals: Use a simulation to determine the experimental probability of a problem. Compare and contrast the theoretical probability with the experimental probability.
The equation above can be used to calculate the volume V, of a pyramid with a height h and base with length l and width w. If the volume of a pyramid is 81inches^3, and l=w=3h, what is the length of the base of the pyramid in inches?
A small refrigerator is a cube with a side length of 14 inches. Use the formula S = 6s2 to find the surface area of the cube.
spining a spinner that has 5 equal section marked 1 through 5 and landing on an evean number
A saving account pays 3.6% per annum simple interest Heidi puts £400 into the account, how much will she have in the account after 5 years?
Using the simple interest formula, Heidi will gain £72 in interest on her initial £400 deposit over 5 years at an interest rate of 3.6%. Therefore, she will have a total of £472 in her account at the end of 5 years.
Explanation:The subject of this question is simple interest calculation which is a topic in Mathematics. It's all about calculating the final amount Heidi will have in her account after 5 years, with a simple interest rate of 3.6% on her initial deposit of £400.
Given the simple interest formula, Interest = Principal × Interest rate × Time, here, the principal is £400, the interest rate is 3.6% (which is 0.036 as a decimal), and time is 5 years.
Using the formula: Interest = £400 × 0.036 × 5 = £72
So, Heidi earns £72 in interest over 5 years.
To find out how much money she will have after 5 years, we will need to add the interest to the initial deposit: Amount = Principal + Interest which gives: Amount = £400 + £72 = £472
So after 5 years, Heidi will have £472 in her account.
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how to graph (-3,4) ;m=6
Write an inequality involving the variable x that describes the set of numbers graphed.