It will take 2 days to process the aluminum collected on Saturday. Each cup of dye can make 1/2 T-Shirt. Each flower bed can make 6 T-Shirts.
Explanation:Mathematics: Middle SchoolTo determine how many days it will take to process the aluminum collected on Saturday, we can divide the amount collected by the amount processed each day.
7/4 ton / 7/8 ton/day = (7/4) / (7/8) = 7/4 x 8/7 = 2 days.
Therefore, it will take 2 days to process the aluminum collected on Saturday.
To find out how many T-Shirts each cup of dye can make, we can divide the amount of dye needed for a T-Shirt by the amount of dye in each cup.
3/8 cup / (3/4) cup = (3/8) / (3/4) = 3/8 x 4/3 = 1/2 T-Shirt.
Therefore, each cup of dye can make 1/2 T-Shirt.
To find out how many T-Shirts each flower bed can make, we need to multiply the amount of dye in each color by the number of cups.
Red: 12 cups x 1/2 T-Shirt = 6 T-Shirts.
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The function f(x)=40,000(0.75)x represents the number of bacteria present in a petri dish after x hours. What is the average rate of change in the number of bacteria between Hour 2 and Hour 5?
Question 1 options:
A.−6102 bacteria/h
B.4336 bacteria/h
C.−4336 bacteria/h
D.6102 bacteria/h
The average rate of change in the number of bacteria between Hour 2 and Hour 5 is approximately -3,482 bacteria/hour.
Explanation:To find the average rate of change in the number of bacteria between Hour 2 and Hour 5, we need to calculate the difference in the number of bacteria at Hour 5 and Hour 2, and then divide it by the difference in time (3 hours).
At Hour 2, substitute x = 2 into the function f(x) = 40,000(0.75)^x:
f(2) = 40,000(0.75)^2 = 40,000(0.5625) = 22,500 bacteria.
At Hour 5, substitute x = 5 into the function:
f(5) = 40,000(0.75)^5 = 40,000(0.3164) = 12,656 bacteria.
Now we can calculate the average rate of change:
Average rate of change = (f(5) - f(2)) / (5 - 2) = (12,656 - 22,500) / 3 = -3,482 bacteria/hour. The average rate of change in the number of bacteria between Hour 2 and Hour 5 is approximately -3,482 bacteria/hour.
what is another way to write 4 hundreds
Another way to write 4 hundred is to express it in scientific notation which is 4.0 × 10²
Scientific notation is another way of expressing figures in standard form. It is a proper form of writing a large number in simpler ways.
Another way to 4 hundred is to express it in a standard form or scientific notation.
400 hundred in scientific notation = 4.0 × 10²
Therefore, we can conclude that 4 hundred is to express it in scientific notation which is 4.0 × 10².
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How to rotate a triangle 90 degrees counter clockwise about the origin
Tia kayaked 2400 meters at a constant rate in 1.5 hours on Saturday. On Sunday, she kayaked 200 meters per hour faster. What was Tia’s average rate on Sunday? A. 1600 meters per hour B. 1800 meters per hour C. 2000 meters per hour D. 2200 meters per hour
Since Tia kayaked 2400 meters at a constant rate in 1.5 hours on Saturday. On Sunday, she kayaked 200 meters per hour faster. Tia’s average rate on Sunday is B. 1800 meters per hour
What is average rate?Average rate is the change of quantity with time.
Since Tia kayaked 2400 meters at a constant rate in 1.5 hours on Saturday. On Sunday, she kayaked 200 meters per hour faster. To find Tia’s average rate on Sunday, we proceed as follows
To find Tia's average rate on Sunday, we first need to find Tia's average rate or speed on Saturday.
Tia's speed on Saturday, s = d/t where
d = distance kayaked on Saturday and t = time kayaked on SaturdaySince
d = 2400 m andt = 1.5 hSubstituting the values of the variables into the equation, we have that
s = d/t
= 2400 m/1.5 h
= 1600 m/h
Sine Tia kayaked 200 meters per hour faster on Sunday, Tia's average rate or speed on Sunday is s' = 1600 meters per hour + 200 meters per hour = 1800 meters per hour
So, Tia’s average rate on Sunday is B. 1800 meters per hour
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Tia's average rate on Sunday was 1800 meters per hour, as she kayaked at a speed that was 200 meters per hour faster than her speed on Saturday which was 1600 meters per hour.
Explanation:To calculate Tia's average rate on Sunday, we first need to find her speed on Saturday. Given that she kayaked 2400 meters in 1.5 hours, we can apply the formula speed = distance/time to find that her speed on Saturday was 1600 meters per hour (2400m/1.5h = 1600 m/h). On Sunday, Tia kayaked 200 meters per hour faster than her Saturday's speed, making her average rate on Sunday 1800 meters per hour (1600 m/h + 200 m/h).
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AT&T charges $76.00 for 500 minutes or Sprint charged $54.00 for 450 minutes which is the better deal
To determine the better deal between AT&T and Sprint, we need to compare the cost per minute for each plan. Sprint offers a lower cost per minute, making it the better deal.
Explanation:To determine which deal is better, we need to compare the cost per minute for each plan. For AT&T, the cost per minute is $76.00/500 minutes = $0.152 per minute. For Sprint, the cost per minute is $54.00/450 minutes = $0.12 per minute.
Therefore, the better deal is Sprint because it offers a lower cost per minute compared to AT&T.
A plus catering service typically plans on making 5 meals more than what the client has purchased in order to be sure they have enough food. This cost is passed onto the client. Each meal cost the client $17.
Which expression below describes the total amount of money charged to the client for any number of meals purchased.
A. 17(x + 5)
B. (17 + 5)x
C. 17x + 5
D. 17 + 5x
Which rhetorical device would you use to make a comparison between the current situation and another situation A refrain
B parallel structure
C imagery
D allusion
Write 7.50x +15y=750 in slope intercept form.
you run one lap around a mile track every 8 minutes. Your friend runs around the same track every 10 minutes. You both start at the starting line at the same time
solve by factoring and show work x^2-3x-10=0
Write 5,256 divided into 52 and show your work
A cracker company packages its product in a box that is shaped like a rectangular prism. The box is 6 inches long, 2 inches wide, and 8 inches high.
V=lwh
What is the volume of the box?
A.22 in³
B.50 in³
C.96 in³
D.16 in³
what is 3.24 x 10^-4 divided by 8.1 x 10^-7 in scientific form?
For every real number x, y, and z, the statement (x – y)z = xz – yz is _____ true. An algebraic expression in simplest form _____ has like terms.
The statement (x – y)z = xz – yz is always true due to the distributive property in mathematics. Moreover, an algebraic expression in the simplest form does have like terms. Like terms are grouped together to simplify the expression.
Explanation:For every real number x, y, and z, the statement (x – y)z = xz – yz is always true. This is an illustration of the distributive property in mathematics, which states that for all real numbers, the equation a(b + c) = ab + ac holds true. In the given equation, the place of 'a' is taken by 'z', while 'x' and 'y' replace 'b' and 'c' respectively.
On the other hand, an algebraic expression in simplest form does have like terms. Like terms are terms with the same variable part. For instance, in the expression 3x2 + 2x - x2 + 4 +5x - 2, the like terms can be combined to simplify the expression to 2x2 + 7x + 2.
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I need the expanded form of 5 times 923
Tell whether the sequence is Arithmetic, Geometric, or Neither. -5, 95, 195, 295, 395
How many solutions does the following equation have?
The solution to the given equation is x = -1. Thus, the answer is option B exactly one solution.
How to determine the number of solutions for the equation
To determine the number of solutions for the equation 3(x + 5) = -4x + 8, simplify and solve it:
Distribute the 3 on the left side of the equation:
3x + 15 = -4x + 8
Combine like terms:
3x + 4x = 8 - 15
7x = -7
Divide both sides of the equation by 7 to isolate the variable x:
x = -1
Now, we have found a solution for the equation, which is x = -1.
Since we have found exactly one solution, the answer is (b) exactly one solution.
Which fraction has a repeating decimal as its decimal expansion?
A. 3/19
B.3/16
C. 3/11
D. 3/8
Answer:
3/11 CCC
Step-by-step explanation:
Divide. −5 5/8÷5
a) −1 1/8
b) −5/8
c) 5/8
d) 1 1/8
Answer:
I believe the answer is A, but I can't be completely sure.
Step-by-step explanation:
Carmella sells homemade pies for $10 a pie. It costs $2 for the ingredients to bake each pie. Carmella bought a new oven for $600. How many pies must Carmella bake and sell before she recovers the cost of the oven?
To determine the diameter of the sun, an astronomer might sight with a transit (a devise used by surveyors for measuring angles), first to one edge of the sun and then to the other, finding that the included angle equals 32 minutes (32'). Assuming that the distance from the Earth to the sun is 92,919,800 miles, calculate the diameter of the sun.
Final answer:
The astronomer calculates the diameter of the Sun using trigonometry and the given angle and distance, arriving at an approximate value of 1,727,804 miles which is a reasonable estimate when compared to the actual diameter of the Sun.
Explanation:
To calculate the diameter of the Sun, the astronomer uses the given angular size and the distance from the Earth to the Sun. Since we have the angle of 32 minutes (which is about 0.533° when converted to degrees), we can set up the following relationship using trigonometry:
diameter of the Sun = 2 × (distance to the Sun) × tan(½ × angular size in radians)
Let's convert the angular size from minutes to degrees and then to radians:
32 minutes = 32' / 60 = 0.533°
To convert degrees to radians, we use the fact that 180° is equivalent to π radians:
0.533° × (π radians / 180°) = 0.0093 radians
Now, we can use the distance to the Sun which is given as 92,919,800 miles and apply the formula:
diameter of the Sun = 2 × 92,919,800 miles × tan(0.0093 radians)
Performing the calculation:
diameter of the Sun ≈ 2 × 92,919,800 × 0.0093
diameter of the Sun ≈ 1,727,804 miles
This is an approximation because the angular size varies slightly due to the elliptical orbit of Earth. Comparing to the actual diameter of the Sun, which is about 1.39 million kilometers (or about 864,000 miles), we can see that our calculated value is a reasonable estimate, keeping in mind that trigonometric calculations rely on a circular orbit assumption and ideal conditions.
Simplify 2 to the fifth power over 3 squared all raised to the fourth power. 2 to the twentieth power over 3 to the eighth power 2 to the ninth power over 3 to the eigth power 8 to the fifth power over 12 squared 2 over 3 squared
2 to the fifth power over 3 squared all raised to the fourth power
[tex]\left(\dfrac{2^5}{3^2}\right)^4=\dfrac{(2^5)^4}{(3^2)^4}=\dfrac{2^{5\cdot4}}{3^{2\cdot4}}=\dfrac{2^{20}}{3^8}[/tex]
Answer: 2 to the twentieth power over 3 to the eighth power
Used:
[tex]\left(\dfrac{a}{b}\right)^n=\dfrac{a^n}{b^n}\\\\(a^n)^m=a^{n\cdot m}[/tex]
Answer:
yes
Step-by-step explanation:
math help will give brainliest
X is 7 but I got m angle D wrong
Day Temperature
1 13
2 15
3 22
4 12
5 22
6 18
7 18
8 22
9 11
10 13
11 20
12 21
You record the temperature for 12 days. Which number summarizes all of the data with a single number?
A) 4.2
B) 11
C) 16
D) 17.25
Answer:
D) 17.25
Step-by-step explanation:
If you want to summarize all the data points with a single number you want a measure of center such as mean. The mean for the data set is 17.25. All the others represent a measure of spread.
Answer:
17.25
Step-by-step explanation:
To evaluate the following expression, what steps should you do first? 7 × (4 + 16) ÷ 4 - 2
Mandy has 36 cups of apple juice. she uses 1/4 of the juice to make punch. she then uses the remaining juice to pour single servings that are 1/3 cup each. how many single servings does Mandy pour?
Webster Digital received a promissory note of $8,000 for 9 months at 7% simple interest from one of its customers. After 4 months, the note was discounted at Bank of Aventura at a discount rate of 10%. What are the proceeds Webster Digital will receive from the discounted note? (Round to the nearest cent)
It took a cheetah 45 minutes to run from Jungle A to Jungle B. If the average speed for the trip was 80 km/h, what is the distance between the two jungles.
PLZ HELP! ITS HOMEWORK!!!!
The inverse of a function occurs when _____.
Final answer:
The inverse of a function occurs when the roles of x and y are interchanged, reflecting the function's graph across y = x.
Explanation:
The inverse of a function occurs when the roles of x and y are interchanged, which involves reflecting the function's graph across the line y = x. For a function to have an inverse, it must pass the horizontal line test, meaning each output value corresponds to a unique input value.
Ross drove 300 miles at r miles per hour and 360 miles at r+10 miles per hour. If the time needed to drive 300 miles was equal to the time needed to drive 360 miles, find the rates at which Ross drove (Express the time needed for each part of the trip as t=d/r)