Final answer:
After setting up the system, Zach has 2/3 hour left to play. Since each round takes 1/6 hour, he can play 4 full rounds of his favorite game.
Explanation:
Zach has 3/4 hour to play video games, and it takes him 1/12 hour to set up the system. Each round of his favorite game takes 1/6 hour. To find out how many rounds he can play, we need to subtract the setup time from the total available time and then divide by the time each game takes.
Subtract the setup time from the total time: 3/4 hour - 1/12 hour.Calculate the common denominator and subtract: 9/12 hour - 1/12 hour = 8/12 hour, which simplifies to 2/3 hour.Divide the remaining time by the time per round: 2/3 hour ÷ 1/6 hour.Calculate the number of rounds: 2/3 hour × 6/1 hour = 4 rounds.Zach can play 4 full rounds of his favorite game.
An election ballot asks voters to select two city commissioners from a group of four candidates. In how many ways can this be done?
what would (-2/3) squared be?
What is the measure of angle B in the triangle?
This triangle is not drawn to scale.
Enter your answer in the box.
m∠B=
°
A triangle labeled ABC with the angles A forty degrees, angle B parenthesis two x minus thirty parenthesis degree, angle C parenthesis x plus twenty parenthesis degrees
Answer:that answer to the test is 70
Step-by-step explanation:
In the number 8,888.888, how does the 8 in the hundredths place compare to the 8 in the place to its left? A. The 8 in the hundredths place represents of what the 8 to its left represents. B. The 8 in the hundredths place represents of what the 8 to its left represents. C. The 8 in the hundredths place represents 100 times what the 8 to its left represents. D. The 8 in the hundredths place represents 10 times what the 8 to its left represents.
In the number 8,888.888, the 8 in the hundredths place is one-tenth of the value of the 8 in the tenths place, reflecting the structure of the decimal system where each place to the right of the decimal point is a tenth of the value of the position to its left.
Explanation:When comparing the 8 in the hundredths place to the 8 in the tenths place (the place to its left), we need to remember that in our decimal numbering system, each place to the left is ten times greater than the place to its right. This is a fundamental property of the powers-of-ten notation, which our counting system is based on.
Therefore, the 8 in the hundredths place is one-tenth the value of the 8 in the tenths place. In other words, each 8 in the decimal part of the number 8,888.888 represents ten times less the value of the 8 to its immediate left. This reflects the structure of the decimal system, where each place to the right of the decimal point represents a fraction of 10 of the position to its left.
Learn more about decimal system here:https://brainly.com/question/28222265
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What is the greatest common factor of a^6b^3 and a^4b^7
840,007 rounded to nearest thousand
Michael bought 0.44 pounds of sliced turkey. What is the value of the digit in the hundreths place
How many times can 2 1/2 be subtracted from 12 1/2
Evaluate the numerical expression. 5 + (46 + 7) * 2
The equation of a line is X+3Y=14
what is the y-intercept of the line?
Answer: The required y-intercept of the given line is [tex]\dfrac{14}{3}.[/tex]
Step-by-step explanation: We are given to find the y-intercept of the following equation of a line :
[tex]x+3y=14~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
The slope-intercept form of the equation of a line is given by
[tex]y=mx+c,[/tex] where m is the slope and c is the y-intercept of the line.
From equation (i), we have
[tex]x+3y=14\\\\\Rightarrow 3y=-x+14\\\\\Rightarrow y=-\dfrac{1}{3}x+\dfrac{14}{3}.[/tex]
Comparing the above equation with the slope-intercept form, we get
[tex]\textup{y-intercept, c}=\dfrac{14}{3}.[/tex]
Thus, the required y-intercept of the given line is [tex]\dfrac{14}{3}.[/tex]
The scale on the map indicates 1 inch=150 miles. The distance from Philadelphia to Miami is 1200 miles. On the map, how far apart and Philadelphia and Miami?
In basketball some baskets worth two points others worth three points.in one game the ratio of three point baskets to three point tries for one team was 5:8 if team scored 60 points from three point baskets,how many three point tries did the team have?
Which of the following is a rational number? (4 points)
A. square root of 1
B. square root of 2
C. square root of 3
D. square root of 4
One-sixth of a number is four
3 and 5/6 minus 2 and 3/4
Find the square.
(4m − 4)2
16m^2 - 32m + 16
if this is what you are looking for
Brainliest?
The cost to manufacture x number of chairs can be represented by the function C(x) = 36x. In this context, what does C(x) = 2268 mean?
If a car can travel 250 miles on 10 gallons of fuel, how many gallons are required to travel 1,325 miles?
Answer:
53 gallons of fuel
Step-by-step explanation:
Step 1: Set up a fraction given the data (Let "x" represent the distance in miles.)
[tex]\frac{10}{250} = \frac{x}{1325}[/tex]
Step 2: Divide the given values (The given values are 10 over 250. We are doing this because we need to know the difference between those two figures.) (Trick: For this case, all you need to do is cancel both zeros and the answer is 25)
[tex]\frac{10}{250}\\\\10 \div 250\\\\= 0.04[/tex]
Step 3: Multiply the result to the last value (Since we've found the difference between them by division, we will have to do the opposite operation in order to find the answer.)
[tex]1325 \times 0.04\\\\= 53[/tex]
Therefore, 53 is the amount of gallons of fuel needed.
Identify the translation rule on a coordinate plane that verifies that triangle A(-5,1), B(-2,7), C(0,1) and triangle A'(-6,0), B'(-3,6), C'(-1,0) are congruent.
Answer:
Triangle ABC translate 1 unit left and 1 units down to get the triangle A'B'C'. The rule of translation is
[tex](x,y)\rightarrow (x-1,y-1)[/tex]
Step-by-step explanation:
Given information: In triangle ABC, A(-5,1), B(-2,7), C(0,1). In triangle A'B'C', A'(-6,0), B'(-3,6), C'(-1,0).
Let the rule of translation be
[tex](x,y)\rightarrow (x-a,y-b)[/tex]
where, a is horizontal shift and b is vertical shift.
If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.
If b<0, then the graph shifts b units up and if b>0, then the graph shifts b units down.
It is given that A(-5,1) and A'(-6,0).
[tex]A(-5,1)\rightarrow A'(-5-a,1-b)[/tex]
[tex]A'(-6,0)=A'(-5-a,1-b)[/tex]
On comparing both sides, we get
[tex]-6=-5-a\Rightarrow a=1[/tex]
[tex]0=1-b\Rightarrow b=1[/tex]
The value of a is 1 and value of b is 1. So, the rule of translation is
[tex](x,y)\rightarrow (x-1,y-1)[/tex]
Therefore the triangle ABC translate 1 unit left and 1 units down to get the triangle A'B'C'.
43.586 to the nearest tenth
Round 4,589 to the thousands
What is the value of 7 + z ÷ 2, when z = 10?
Answer:
the answer is 12 i did the test
Step-by-step explanation:
A model of a famous statue is 1 1/2 inches tall. The actual statues is 3 3/4 feet tall. What is the ratio of the height of the model to the height of the actual statue in simplest form?
The ratio of the height of the model to the height of the actual statue, once converted to the same units, is 1:30. The actual statue at 3 3/4 feet tall is equivalent to 45 inches, and the model is 1 1/2 inches tall.
Explanation:To find the ratio of the height of the model to the actual statue, we must first make sure both measurements are in the same units. Since the model is given in inches, we will convert the actual statue's height from feet to inches. There are 12 inches in a foot, so:
3 3/4 feet = 3.75 feet x 12 inches/foot = 45 inches.
Now we can set up the ratio of the model to the actual statue:
1 1/2 inches / 45 inches.
First, convert 1 1/2 inches to an improper fraction, which is (1 x 2 + 1)/2 = 3/2 inches. Our ratio is thus:
(3/2) inches / 45 inches = 3/90 = 1/30.
The ratio in simplest form is 1:30.
Is 8.17539... irrational or rational?
The cost in dollars in making M wedding cakes is represented by c = 24n + 35. How many wedding cakes are made when the cost is $480?
In solving a jigsaw puzzle, a move consists of joining two clusters, including clusters of just one piece. What is the minimum number of moves required to complete a two-thousand piece jigsaw puzzle that is separated into individual pieces?
Answer:
1999 moves are required.
Step-by-step explanation:
Given is - In solving a jigsaw puzzle, a move consists of joining two clusters, including clusters of just one piece.
This means exactly [tex]n-1[/tex] moves are required to solve a jigsaw puzzle with n pieces.
Here, n = 2000
So, moves will be = [tex]2000-1=1999[/tex]
Hence. 1999 moves are needed to solve the puzzle.
One 747-airplane can carry 420 passengers. How many total passengers can three planes carry?
Which of the following ordered pairs are y-intercepts? Check all that apply. (4, 0) (–1, 1) (0, 0) (0, –7) (–2, –2) (0, –0.25)
Answer:
C,D,F
promise
Answer:
It is C, D, and F. I got it right.
Step-by-step explanation:
y= 4x-9
and y=x-3
Also using transitive property
0.5 is 10 times as great as