Answer:
d)Before cooling begins, the temperature of the water is 22°C
Step-by-step explanation:
Given equation that shows the temperature of the bowl after t minutes,
[tex]D=-\frac{7}{5}t+22[/tex]
Initially ( when ice is not placed ) t = 0,
So, the temperature of the water,
[tex]D=(0) + 22 = 22^{\circ}[/tex]
i.e. Option d) is correct.
If t = 7 minutes,
The temperature would be,
[tex]D=-\frac{7}{5}\times 7+22[/tex]
[tex]=-\frac{49}{5}+22[/tex]
[tex]=-\frac{49+110}{5}[/tex]
[tex]=\frac{61}{5}[/tex]
[tex]=12.2^{\circ}C[/tex]
So, the change in temperature = 12.2° - 22° = -9.8°,
Thus, option a) is incorrect.
If x = 5 minutes,
The temperature would be,
[tex]D=-\frac{7}{5}\times 5+22=-7+22 = 15^{\circ}[/tex]
Change in temperature = 15° - 22° = -7°,
So, Option b) is incorrect.
∵ The temperature of the ice must be less than 22°,
Thus, option c) is incorrect.
the price of a fan is 15 dollar the price is 27% lower than last week
the are of a rectangular tablecloth is 4 1/6 square meters. the width of the tablecloth is 1 1/4 meters. what is the length of the table cloth?
The length of the rectangular table cloth is [tex]\mathbf{ 3\dfrac{1}{3} m}[/tex]
What is a rectangle?A rectangle is a plane figure that has an equal size of the opposite side. These sides are called the length and the width.
Mathematically;
The area of the rectangle = Length × width
From the parameters given:
Area of a rectangle = 4 1/6 square meters.The width = 1 1/4 metersUsing the formula for the area of a rectangle, we have:
[tex]\mathbf{4 \dfrac{1}{6} m^2 =length \times 1 \dfrac{1}{4} \ m }[/tex]
[tex]\mathbf{ \dfrac{25}{6} m^2 =length \times \dfrac{5}{4} \ m }[/tex]
Multiply both sides by [tex]\mathbf{\dfrac{4}{5}\times \dfrac{1} {m}}[/tex]; we have:
[tex]\mathbf{ \dfrac{25}{6} m^2 \times \mathbf{\dfrac{4}{5}\times \dfrac{1} {m}} =length \times \dfrac{5}{4} \ m \times \mathbf{\dfrac{4}{5}\times \dfrac{1} {m}}}[/tex]
[tex]\mathbf{ length = \dfrac{25}{6} m \times \mathbf{\dfrac{4}{5}} }[/tex]
[tex]\mathbf{ length = \dfrac{5}{3} m \times \mathbf{\dfrac{2}{1}} }[/tex]
[tex]\mathbf{ length = \dfrac{10}{3} m}[/tex]
[tex]\mathbf{ length = 3\dfrac{1}{3} m}[/tex]
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maya tried to play a new video game.on her first 4 tries,she lost 14 points,lost 8 points,and finnaly gave up.write and find the value of an integer expression to show her final score
You eat 3 8 of a pie and your sister eats 1 4 of the pie. Explain who ate more of the pie
Each row in a window display of compact disk cartons contains two more boxes than the row above. The first row has one box. How many rows will make to where there is 144 boxes
Simplify 2(6x+21)+14
How many three-letter "words" can be made from 5 letters "FGHIJ" if repetition of letters
125 three-letter "words" can be made from 5 letters "FGHIJ" if repetition of letters.
What is Combination?A combination is a selection of all or part of a set of objects, without regard to the order in which objects are selected.
We need to find three-letter "words" can be made from 5 letters "FGHIJ" if repetition of letters.
The given letters are FGHIJ.
As we need to find three letter words.
This can be done by using 5³ as the repetitions are allowed.
Five power cube number of three words can be formed.
5×5×5
One hundred twenty five.
125
Hence, 125 three-letter "words" can be made from 5 letters "FGHIJ" if repetition of letters.
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Which is an inccorect rounding of 53.864
How do you solve this using the elimination method of systems of equations?
25x - 5y= 30
- 25x + 10y=15
------------------
-5y-(+10y)=30-15
-5y-10y =15
-15y= 15
divide both sides by -15
y= -1
finding the value of x by subs. y=-1
into equation 1
5x-(-1)=6
5x +1=6
5x=6-1
5x=5
divide both sides by 5
x= 1
The ratio of the ages of three children is 2:4:5. The sum of their ages is 33. What is the age of each child?
Step-by-step explanation:
let the given ages be 2x , 4x and 5x.
Here,
2x + 4x +5x =33
or,x = 33/ 11
or,x =3
Hence,
2x =2 (3)=6years
4x=4(3)=12years
5x=5(3)=15years
Answer:
6,12,15
Step-by-step explanation:
Let the ages be 2x,4x,5x
Given
2x+4x+5x=33
11x=33
x=3.
2x=2×3=6
4x=4×3=12
5x=5×3=15
Find 0.001 more than 18.852.
n - (-24) =12 find the value
Do you think a bar model would be a good model for converting miles to feet
8/9, 85%, 0.92 least to greatest
Order the number from least to greatest. 1/2, 0.55, 5/7. TELL ME FAST!!!
A school policy requires that there be at least one chaperone for every 8 students on a field trip. How many chaperones are required for a field trip with 67 students?
Melissa’s family is driving out of state to her grandmother’s house. They know that it takes 20 gallons of gas to get there, and the cost of three gallons of gasoline is $10.50. How much should the family budget to make the one-way trip? $20.00
3 gallons cost 10.50
20 gallons / 3 = 6 2/3
6 2/3 * 10.50 = 70
they need $70 for the trip
Solve the following equation: -3 = 1 3/5 + m
converting percent into decimals
Percent means per 100 so 40% 40 per 100, or simply 40/100
When we divide 40 by 100 we get 0.4 which is a decimal number.
to convert from percent to decimal you have to divide by 100, and then remove the % sign.
A race car can travel 615 miles in 3 hour.A small jet can travel 575 miles in 2.5 hours.write and solve an equation to determine if the car or jet travels at a faster rate
To compare the rates of travel of a race car and a small jet, divide the distance traveled by the time taken for each. The small jet travels at a faster rate than the race car.
Explanation:To determine which travels at a faster rate, we need to compare their rates of travel. The rate of travel is found by dividing the distance traveled by the time taken. Let's denote the rate of the race car as 'r1' and the rate of the small jet as 'r2'.
For the race car, we have r1 = 615 miles / 3 hours = 205 miles per hour.
For the small jet, we have r2 = 575 miles / 2.5 hours = 230 miles per hour.
Comparing the rates, we see that the small jet travels at a faster rate than the race car.
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Can 9/12 be simplified
What are the factors of the expression? 6/7cd
Answer:
The factors of the expression are 6/7, c and d.
Step-by-step explanation:
The given expression is
[tex]\frac{6}{7}cd[/tex]
We need to find the factors of the expression.
Factors: Numbers and variables multiplied to get an expression, then these numbers and variables are known as factors.
The factor form of given expression is
[tex]\frac{6}{7}cd=\frac{6}{7}\times c\times d[/tex]
Therefore, the factors of the expression are 6/7, c and d.
Simplify: (13x + 10y) - (6x - 7y) +5x
What is -6 over 0 equal to?
Edwin walks for 2 1/2 hours. He walks 1 2/3 miles in the first hour, 1 3/4 miles in the second hour and 1/4 of the total distance in the last 1/2 hour.What is the total distance Edwin walks?
Answer:
The total distance is 41/9 = 4 5/9 miles
Step-by-step explanation:
Total time is 2 1/2 hours.
First hour, he walks 1 2/3 = 5/3 miles.
Second hour, he walks 1 3/4 = 7/4 miles.
The last half hour he walks 1/4 of total distance. If we call total distance x.
[tex]\frac{5}{3} + \frac{7}{4} +\frac{x}{4} = x[/tex]
Now, we can eliminate the denominator, multiplying by four and by three.
[tex]5*4 + 7*3 + 3*x = 4*3*x\\20 + 21 + 3x = 12 x\\41 +3x = 12x \\41 = 12x - 3x\\41 = 9x\\x = 41/9\\x = 4 \frac{5}{9}[/tex]
Total distance is 4 5/9 miles
Isaiah’s family drove 348.2 miles per day on their vacation across county. How many miles did Isaiah’s family travel in 2.5 days?
multiply miles per day by number of days
348.2 * 2.5 = 870.5 miles
it total revenue is $3000, cost of goods is $1500, and total selling expenses is $500 what is the Profit for the business
what is 20x34 equal.
Write the slope-intercept form of the given line. Include your work in your final answer. Type your answer in the box provided or use the upload option to submit your solution.
an elevator traveled from the 10th floor to the 2nd floor in 6 seconds. what was the rate of the elevator in floors per second
The elevator travels 4/3 levels per second, or floors per second.
What is ratio?The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.
Given, an elevator traveled from the 10th floor to the 2nd floor in 6 seconds.
Elevator cover total distance = 10 -2 = 8 floors
since it took elevator 6 seconds
thus
elevator travels in 6 seconds = 8 floor
elevator travels in 1 seconds = 8/6 =4/3 floor
Therefore, the rate of the elevator in floors per second is 4/3 floor per seconds
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