Answer:
y = 2
Step-by-step explanation:
3/12 = y/8
=> y/8 = 3/12
=> y/8 = 1/4
=> y = 8/4
=> y = 2
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
Write 5,256 divided into 52 and show your work
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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Use the Rational Zeros Theorem to write a list of all possible rational zeros of the function.
f(x) = -2x4 + 4x3 + 3x2 + 18
To list all possible rational zeros of the function f(x) = -2[tex]x^{4}[/tex] + 4[tex]x^{3}[/tex]+ 3[tex]x^{2}[/tex] + 18, apply the Rational Zeros Theorem, which suggests dividing the factors of the constant term (±1, ±2, ±3, ±6, ±9, ±18) by the factors of the leading coefficient (±1, ±2), leading to a list of possible rational zeros.
To use the Rational Zeros Theorem to find all possible rational zeros of the function f(x) = -2[tex]x^{4}[/tex] + 4[tex]x^{3}[/tex]+ 3[tex]x^{2}[/tex] + 18, we need to look at the factors of the constant term and the leading coefficient. For the constant term (18), the factors are
±1, ±2, ±3, ±6, ±9, ±18. For the leading coefficient (-2), the factors are ±1 and ±2. According to the Rational Zeros Theorem, the possible rational zeros are obtained by taking all the factors of the constant term and dividing them by the factors of the leading coefficient.
The list of all possible rational zeros is ±1, ±2, ±3, ±6, ±9, ±18, ±1/2, ±3/2, ±9/2, and ±18/2.
10d+10=5d+45 plz help
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.
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.
Two fifths of the fish in Gary's fish tank are guppies onefourth of the guppies is red what fraction of the fish in Gary's tank are red guppies what fraction of the fish in Gary's tank are not red guppies show your work
when rounded to the nearest hundred which of the following would round of to 4,600
factor Completely 2x^2+11x-63
Answer:
(x + 9) × (2x - 7)
Step-by-step explanation:
You need to write the equation as a difference
2x^2 + 18x - 7x - 63
Then factor the expressions
2x(x + 9) - 7(x + 9)
Factor again
math help will give brainliest
X is 7 but I got m angle D wrong
Write 24.357 in the Expanded form using fractions
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:
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.
Tell whether the sequence is Arithmetic, Geometric, or Neither. -5, 95, 195, 295, 395
Write a word phrase to represent the numerical expression 5+(17-8)
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.
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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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
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?
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
To evaluate the following expression, what steps should you do first? 7 × (4 + 16) ÷ 4 - 2
Write 7.50x +15y=750 in slope intercept form.
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)
solve by factoring and show work x^2-3x-10=0
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:
At the gas station each liter of gas costs $3 but there is a promotion that for every beverage you purchase you save 0.20 cents on gas. Is your total savings on gas proportional to the number of beverages you purchase?
Answer:
Yes
Step-by-step explanation:
The answer is yes it is proportional
I need the expanded form of 5 times 923
what is 3.24 x 10^-4 divided by 8.1 x 10^-7 in scientific form?
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