To find the amount of salt in the tank at any time t, we can use the equation S(t) = 10 - 10(W(t)/20), where W(t) represents the amount of water in the tank at time t. Substituting the given values, we can calculate the amount of salt in the tank.
Explanation:To find the amount of salt in the tank at any time t, we need to consider the rate at which pure water enters and leaves the tank. Since water enters the tank at a rate of 5 gallons/minute, the amount of water in the tank at any time t can be represented by the equation: W(t) = 5t, where t represents time in minutes. The concentration of salt in the tank remains constant, so the amount of salt in the tank at any time t can be represented by the equation: S(t) = 10 - 10(W(t)/20), where S(t) represents the amount of salt in pounds and W(t) represents the amount of water in gallons.
Let's solve for S(t) when t = 10 minutes:
S(10) = 10 - 10(5/20) = 10 - 10(1/4) = 10 - 10/4 = 10 - 2.5 = 7.5 pounds of salt.
How do you solve step by step (-10)+14+25+(-16)
You started on a bike trip, riding at a rate of 9 miles per hour. Your friend left one hour later and rode at the rate of 12 miles per hour. How long did it take your friend to catch up with you?
They need 3 hours to catch.
What is Unitary method?It is a method where we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit.
Steps to Use Unitary MethodFirst, let us make a note of the information we have. There are 5 ice-creams. 5 ice-creams cost $125.
Step 1: Let’s find the cost of 1 ice cream. In order to do that, divide the total cost of ice-creams by the total number of ice-creams. The cost of 1 ice-cream = Total cost of ice-creams/Total number of ice-creams = 125/5 = 25. Therefore, the cost of 1 ice cream is $25.
Step 2: To find the cost of 3 ice-creams, multiply the cost of 1 ice cream by the number of ice-creams. The cost of 3 ice-creams is cost of 1 ice-cream × number of ice-creams = 25 × 3 = $75. Finally, we have the cost of 3 ice-creams i.e. $75.
Given:
riding at a rate of 9 miles per hour
the friend left at rate of 12 miles per hour
Difference between
=12-9
=3 mph
So, the time they need to take
=9/3
= 3 hours
Learn more about unitary method here:
https://brainly.com/question/22056199
#SPJ2
In a recent survey, two-thirds of the 234 students in a freshman class said they watch television shows on their computer. Determine the correct arithmetic set up for determining how many students watch television on their computer
of the 30 girls who tried out for the lacrosse team at euclid Middle School, 12 were selected. Of the 40 boys who tried out but, 16 were selected. Are the ratios of the numbers of students on the team to the number of students trying out the same for both boys and girls? How do you know?
In how many different ways can the curator of a museum arrange five of eight paintings horizontally on the wall?
The requried number of ways that 5 paintings to be chosen is 56 ways.
What are permutation and combination?In arithmetic, combination and permutation are two different ways of grouping elements of a set into subsets. In combination, the components of the subset can be recorded in any order. In a permutation, the components of the subset are listed in a distinctive order.
Here,
Total number of paintings = 8
Total number of paintings to be arranged = 5
Number of ways = 8C5
= 8!/[8-5]!5! [nCr = n!/[n-r]!r!]
= 56 ways
Thus, the requried number of ways that 5 paintings to be chosen is 56 ways.
Learn more about permutations and combinations here: https://brainly.com/question/2295036
#SPJ5
Suppose a card is drawn from a deck of 52 playing cards. what is the probability of drawing a 4 or an ace?
Write an even number between 7 and 16. Draw a picture and then write a sentence to explain why it's an odd number
Answer:
9, 11, 13 and 15
Step-by-step explanation:
Given numbers,
7 and 16,
In the number line the numbers are arranged in ascending order from left to right,
Thus, the numbers greater than 7 are,
8, 9, 10, 11, 12, 13, 14, 15, 16, 17....
Also, the number less than 16,
.......6, 7, 8, 9, 10, 11, 12, 13, 14, 15,
So, the numbers between 7 and 16,
8, 9, 10, 11, 12, 13, 14, 15
Now, a number with 1, 3, 5 or 7 in the ones place is an odd number.
Hence, the odd number between 7 and 16 are,
9, 11, 13 and 15
Find the average.
11,16,15,22
A.64
B.15
C.17
D.16
Tyler used 17.04 gallons of gas.Maria used 6.2 times as many gallon of gas as Tyler. How many gallons of gas did Maria use?
At a local school supply store, a highlighter costs $1.25, a ballpoint pen costs $0.80, and a spiral notebook costs $2.75. Explain how you can use the Commutative Property of Addition to find the total cost if three of each item are purchased!
The addition of all costs using commutative property will be $4.8.
What is the arithmetic operator?Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,
Summation = addition of two or more numbers or variable
For example = 2 + 8 + 9
Subtraction = Minus of any two or more numbers with each other called subtraction.
For example = 4 - 8
Division = divide any two numbers or variable called division.
For example 4/8
Multiplication = to multiply any two or more numbers or variables called multiplication.
For example 5 × 7.
Given,
Cost of one highlighter = $1.25
Cost of one ballpoint pen = $0.80
Cost of one spiral notebook = $2.75
The cumulative property states that the resultant of summation or multiplication does change by changing order.
Addition = 1.25 + 0.80 + 2.75
Total cost = $4.8.
Hence"The addition of all costs using commutative property will be $4.8".
To learn more about the arithmetic operators,
brainly.com/question/25834626
#SPJ5
evaluate the expression
(4+49) - 4X10
F is the midpoint EG Find the length EG given that the length FG IS10.9
Solve the given initial-value problem. give the largest interval i over which the solution is defined. x dy dx + y = 6x + 1, y(1) = 8
What is the absolute difference between 1/2 and 1/3?
1/2 - 1/3 = 3/6-2/6 = 1/6
absolute value is 1/6
Jody, a statistics major, grows tomatoes in her spare time. she keeps a record of the weight of each tomato she grows. what percentage of all her tomatoes will be within one standard deviation of the mean weight? choose the correct answer below.
a. 50
b. 99.7
c. 95
d. 68
e. 10
Joe bought 20 ounces of nuts at the store. How much is this in pounds? Write your answer as a whole number or a mixed number in simplest form. Include the correct unit in your answer.
If Joe bought 20 ounces of nuts at the store then the nuts in pounds is 1. 25 lb
What is Unit of Measurement?
A unit of measurement is a definite magnitude of a quantity, defined and adopted by convention or by law, that is used as a standard for measurement of the same kind of quantity.
Joe bought 20 ounces of nuts at the store.
We have to find in pounds.
As we know that 1 ounce is equal to 0.0625 pounds.
Now we have to convert 20 ounces to pounds.
To do this we have to multiply 20 with 0.0625
20×0.0625
1.25 pounds
20 oz is equal to 1. 25 lb
Hence, the nuts in pounds is 1. 25 lb if Joe bought 20 ounces of nuts at the store.
To learn more on Unit of Measurement click:
https://brainly.com/question/15402847
#SPJ3
A rational number can be written as the ratio of one blank to another and be represented by a repeating or blank decimal. What are the two vocabulary for this sentence?
The answer is a rational number is one integer divided by another, and can be represented in either decimal of fraction form. The explanation behind this is visualize you are using long division to divide one number by one more. You divide, and then you acquire a remainder. Then you carry down a zero (multiply by ten) and divide again. Well, there are only so many balances you could perhaps have. For example, for 5, your choices are 0, 1, 2, 3, and 4. Sooner or later, you will replicate a remainder, at which fact you will just keep dividing the same method you did last time you saw that remainder -- and that's the reason why it repeats.
Enfaite je ne comprend pas cet exercice qui peut m'aider c'est deja la rentré et je galère merci de bien vouloir m'aider
Which of the following fractions is closest to the decimal 0.35
if x equals 3= xequals 4 then use the equation 2x y -6 x equals 18 Z to find the value of y
what number must you add to complete the square x^2+24x=17
0.4 ( 8 - 0.2w ) = -4
Simplify . 4y4 4y8 8y4 8y8
Answer:
B
Step-by-step explanation:
Just did it.
Answer:
b
Step-by-step explanation:
Jenny charges for delivering the cakes.
Bob lives 12 miles away.
How much will Jenny charge to deliver the cakes? delivery charges £4 mixed cost + 60p per mile
To deliver the cakes to Bob, Jenny will charge £11.20.
Explanation:To calculate the delivery charges, we need to find the distance between Jenny's location and Bob's location. Since Bob lives 12 miles away, the delivery distance will be 12 miles. Jenny charges £4 as a mixed cost plus 60p per mile. So, the delivery charge will be £4 + (12 miles * 60p) = £4 + £7.20 = £11.20.
Learn more about Delivery Charges here:
https://brainly.com/question/18951744
#SPJ3
A number and it's absolute value are equal. If you subtract 2 from the number, the new number and it's absolute value are not equal. What do you know about the number? What is a possible number that satisfies these conditions?
From a rectangular piece of cardboard having dimensions a × b, where a = 20 inches and b = 70 inches, an open box is to be made by cutting out an identical square of area x2 from each corner and turning up the sides (see the figure). Express the volume V of the box as a function of x.
The volume of the box as a function of x will be 1400x - 180x² - 4x³.
First and foremost, you should note that the volume of a rectangular prism is given as:
= Length × Width × Height
where,
Length = 70 - 2x
Width = 20 - 2x
Height = x
Volume = Length × Width × Height
Volume = (x)(20 - 2x)(70 - 2x)
Volume = 1400x - 40x² - 140x² + 4x³
Volume = 1400x - 180x² - 4x³
Therefore, the volume of the box as a function of x will be 1400x - 180x² - 4x³.
Read related link on:
https://brainly.com/question/19380694
Multiply or find the special product. (Simplify your answer completely.)
[(x − 8y) + z][(x − 8y) − z]
If i buy a box of candy for $30 and make $52 selling the candy what is my profit
Hans needs to memorize words on a vocabulary list for Latin class. He has memorized 20 of the words which is 1/4 of the list. How many words are in the list?
Which equation correctly applies the distributive property?
A. 50+1.015=(50⋅1)+(50⋅0.01)+(50⋅0.005)
B.−1.2⋅0.57⋅0.5=−1.2⋅0.5⋅0.57
C. (0.5⋅0.5)+(0.5⋅0.3)+(0.5⋅0.2)=0.5⋅(0.5+0.3+0.2)
D. −2.5⋅(4⋅1.045)=(−2.5⋅4)⋅1.045