x+y = 4
x=4-y
52x+50y=204
52(4-y)+50y=204
208-52y+50y=204
208-2y=204
-2y=-4
y=2
x= 4-2=2
check 52*2=104
50*2 = 100
104+100=204
so he traveled 2 hours at both 50 and 52 mph
two wheels are rolled simultaneously. The radius of the smaller wheel is r feet and the radius of the larger wheel 2r feet. If both wheels did a total of 4 rotations, how much further did the large wheel travel? PLEASE SHOW STEPS TYSM
A gardener uses a tray of 6 conical pots to plant seeds. Each conical pot has a radius of 3 centimeters and a depth of 8 centimeters. About how many cubic centimeters of soil are needed to plant the full tray? Round to the nearest cubic centimeter
Answer:
Soil required = 453 cm³
Step-by-step explanation:
Volume of cone [tex]=\frac{1}{3}\times \texttt{base area}\times \texttt{depth}[/tex]
Base area of cone [tex]=\pi r^2=\pi \times 3^2=9\pi cm^2[/tex]
Depth of cone = 8 cm
Volume of one cone [tex]=\frac{1}{3}\times 9\times \pi \times 8=75.39cm^3[/tex]
Volume of six cones = 6 x 75.39 = 452.39 cm³ = 453 cm³
Soil required = 453 cm³
Orio and Ted buy an equal number of comic books every month. The following equation shows the number of comic books, y, that Orio has after x months: y = 2x + 15 The following graph shows the number of comic books, y, that Ted has after x months: Graph shows Months on x axis and Number of Comic Books on y axis. The scale on x axis is shown from 0 to 5 at increments of 1. The scale on y axis is shown from 0 to 14 at increments of 2. The title of the graph is Teds Comic Books. A straight line is shown which joins the ordered pair 0, 6 and 4, 14 After 2 months, how many more comic books does Orio have than Ted?
Orio and Ted buy an equal number of comic books every month. Orio has 9 more comic books than Ted.
What is linear equation?Linear equation is equation in which each term has at max one degree.
Linear equation in variable x and y can be written in the form y = mx + c
Linear equation with two variables, when graphed on the cartesian plane with axes of those variables, give a straight line.
Orio and Ted buy an equal number of comic books every month.
The following equation shows the number of comic books, y, that Orio has after x months:
y = 2x + 15
Using the equation y=mx+b to find Orio's number of comic books, we can plug 2 months to substitute for the variable x.
y = 2(2) + 15
y = 4+15,
y = 19.
We know Ted has 10 comics after 2 months from the graph.
19-10= 9
Therefore, Orio has 9 more comic books than Ted.
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i will give brainliest for question 18 pts
The following box plot shows the number of years during which 40 schools have participated in an interschool swimming meet: A box and whisker plot is drawn using a number line from 0 to 10 with primary markings and labels at 0, 5, 10. In between two primary markings are 4 secondary markings. The box extends from 1 to 6 on the number line. There is a vertical line at 3.5. The whiskers end at 0 and 8. Above the plot is written Duration of Participation. Below the plot is written Years. At least how many schools have participated for more than 1 year and less than 6 years? 4 schools 8 schools 10 schools 20 schools
Answer:
2o
Step-by-step explanation:
Answer:
Based on the box plot you have given above, the answer would be 20% of the total schools participated for 6 years or more. This is because the part of the box plot wherein it hits 6 years and above is 20%. Thus, if there are 20 schools, then the 20% of it would be 4. In conclusion, there are 4 schools that participated for 6 years or more. Step-by-step explanation:
300-297+294-291+288-285+...+6-3
The sum of the alternating subtraction and addition sequence 300-297+294-291+...+6-3 can be calculated by pairing the numbers and determining the partial sums, which consistently equal 3. With 49 complete sets of these operations within the range given, the total sum is 147.
Explanation:The sequence provided is a series of alternating subtractions and additions of integers in a specific pattern. To determine the sum of such a sequence, we can pair the numbers in such a way that each subtractive pair (e.g., 300-297) is combined with its subsequent additive pair (e.g., 294). This will result in a series of partial sums which are consistently 3 (e.g., 300-297+294 equals 297). As the pattern continues, each group of four numbers adds up to 3.
Since all groups add up to 3, and we know that each set of two operations (a subtraction followed by an addition) gives us 3, we need to find out how many such sets there are. Given that our numbering starts with 300 and ends with 3 (decreasing by 3 every time), we can see there are 99 numbers in the sequence (since (300 - 3) / 3 + 1 = 99). And because every four numbers make up one set, there would be 99 / 2 = 49.5 sets. We only consider the entire sets, which would be 49 in total, ignoring the last number (3) that does not form a complete set.
Therefore, multiplying 49 sets by 3 gives us the total sum of the pattern, which would be 147. It is important to double-check calculations to ensure accuracy when dealing with sequences and series.
What is b-r-3,when b=9 and r=2
A number, y, is equal to the difference of a larger number and 3. The same number is one-third of the sum of the larger number and 9. Which equations represent the situation?
a)x+y=3 and x-3y=-27
b)x+y=3 and x-3y=-9
c)x-y=3 and x-3y=-27
d)x-y=3 and x-3y=-9
Answer: x + y = 3 and x - 3 = -9
Step-by-step explanation:
An Octagon has the radius of 56 and an area of 10,391.9 square millimeters.
a1) What is the approximate perimeter of the octagon? Round to the nearest whole number.
A) 93
B) 186
C) 371
D) 1299
a2) What is the approximate length of one side of the octagon? Round to the nearest whole number.
A) 23
B) 46
C) 371
D) 1299
Answer:
Step-by-step explanation:
Alright, lets get started.
The area of octagon is given [tex]= 10391.9[/tex]
The formula for area of octagon with side a is = [tex]2(1+\sqrt{2} )a^2[/tex]
[tex]10391.9 = 2(1+\sqrt{2} )a^2[/tex]
hence ,
[tex]a^2 = \frac{10391.9}{2(1+\sqrt{2} )}[/tex]
[tex]a^2 = 2152.2329[/tex]
[tex]a = 46.39[/tex]
Hence the length of the side of the octagon is 46 : Answer
Now perimeter of the octagon will be = [tex]8*side length[/tex]
Hence the perimeter = [tex]8*46.39 =371.1[/tex]
hence the perimeter of the octagon is 371 : Answer
Hope it will help :)
A rectangular aquarium is 2/3 filled with water and then is tilted on its side until the water level coincides with one edge of the bottom. During the process, 6 quarts of water are poured out. What is the volume of the tank in quarts?
Answer:
36 Quarts
Step-by-step explanation:
Let the volume of the Aquarium be x quarts.
Hence amount of water filled in it will be
[tex]\frac{2x}{3}[/tex] quarts
Also problem says that the tank is tilted until water level coincides with one edge of the bottom. At this position , the amount of water filled in the tank will be half of the total volume , as the slant water level will be the diagonal of the tank and a diagonal divides the tank in two halves.
Hence current volume of water in the tank will be
[tex]\frac{x}{2}[/tex]
And in this process the amount of water poured out is 6 quarts. It will the difference between the amount of water earlier in the tank and the amount of water in the tank now. Hence
[tex]\frac{2x}{3}-\frac{x}{2}=6[/tex]
[tex]\frac{4x-3x}{6}=6[/tex]
[tex]x=36[/tex]
Hence the volume of the tank is 36 quarts.
Lola takes the train from Paris to Nice. The distance between the two cities is about
920,000
920,000
meters. If the train travels at a speed of
230
230
kilometers per hour, how long will it take Lola to travel from Paris to Nice?
If the speed of the train is 230 km per hour. Then the time taken by the train from Paris to Nice will be 4 hours.
What is speed?The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.
We know that the speed formula
[tex]\rm Speed = \dfrac{Distance}{Time}[/tex]
Lola takes the train from Paris to Nice.
The distance between the two cities is about 920,000 meters.
If the train travels at a speed of 230 kilometers per hour.
Then the time taken by the train from Paris to Nice will be
[tex]\rm Time = \dfrac{Distance}{Speed}\\\\\\\rm Time = \dfrac{920000 \ m}{230\ km/h}\\\\\\Time = \dfrac{920 \ km}{230 \ km/h}\\\\\\Time = 4 \ hours[/tex]
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What is equivalent to this statement:4 is 80% of x
An equivalent statement to '4 is 80% of x' is 'x is 5'.
Explanation:The statement '4 is 80% of x' can be written as the equation 4 = 0.8x. To find an equivalent statement, we can solve this equation for x.
To solve for x, divide both sides of the equation by 0.8: x = 4 / 0.8 = 5.
Therefore, an equivalent statement is: x is 5.
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Todd and his brother Robert are going to use 512 square feet of their backyard for skateboard ramps. The shape of the backyard is rectangular, with the length twice as long as the width. What are the dimensions of the backyard? A(w) = 2w2 512 = 2w2 The width of the backyard is feet. The length of the backyard is feet.
Answer:
16ft by 32ft
Step-by-step explanation:
Answer:
The answer is 512 = 2w2 or C
Step-by-step explanation:
I just did the assignment
What's the supplementary angle of 149.9 degrees?
Want brainliest answer this
12 x 11 = 132
3*12=36
132+36 = 168 square feet
Marneshia walked three over eight of a mile in three over five of an hour. What equation can be used to calculate her unit rate in miles per hour? three eighths over three fifths = five eighths mile per hour three eighths over three fifths = one and three fifths miles per hour three fifths over three eights = one and three fifths miles per hour three fifths over three eights = five eighths mile
Answer:
A in short is your answer
Step-by-step explanation:
The legs of a right triangle are 3 units and 5 units. What is the length of the hypotenuse? Round your answer to the nearest hundredth.
4.00 units
2.83 units
5.83 units
8.00 units
Answer:
the answer is 5.83
Step-by-step explanation:
hope it helped :)
estimate 17.5×8.4 need help
Your friend's height is close to 180 centimeters. What is your friend's height close to in meters?
Answer:
The friend's height close to 1.8 meters.
Step-by-step explanation:
As given in the question
Your friend's height is close to 180 centimeters.
As
1 meter = 100 centimeter
[tex]1\ centimeter = \frac{1}{100}\ meters[/tex]
Now convert 180 centimeters into meters .
[tex]180\ centimeter = \frac{180}{100}\ meters[/tex]
[tex]180\ centimeter = 1.8 meters[/tex]
Therefore the friend's height close to 1.8 meters.
i need help with this problem. thank you so much who ever answer this
-36/8 = -4.5
-4.5 = -4.5
A drawer contains 4 red socks, 8 white socks, and 6 blue socks. Without looking, you draw out a sock, return it, and draw out a second sock. What is the probability that the first sock is white and the second sock is red?
Paul bought a discount card for the bus. The card allows him to buy daily bus passes for $1.70. After one month, Paul bought 12 passes and spent a total of $25.40. How much did he spend on the student discount card?
what is the answer to 4.18*0.6
What fraction of a minute is 42 seconds
Larry has taken out a $600 loan with a 12 percent interest rate to buy a laptop computer. He needs to repay the loan by the end of two years. He will be paying $28.24 every month for two years. What kind of interest rate is Larry being charged? Explain the reasons for your answer.
Answer:
Larry is paying the same amount every month for the duration of the loan. So he is being charged a fixed interest rate.
Step-by-step explanation:
plato answer
while his bank account balance was -$45 Dylan made 6 withdrawals of 9$ what was his new bank account balance?
Only false statements have counterexamples. true or false
The statement 'Only false statements have counterexamples' is false.
A counterexample is an instance that disproves a statement by providing an example where the premises are true, but the conclusion is false. Thus, only false statements have counterexamples can be considered false. A true statement cannot have a counterexample because that would contradict its truth.
For example, consider the statement 'All swans are white.' A single observation of a black swan would be a counterexample that disproves this statement, showing it is false.
Decide if the problems are parallel,perpendicular or neithet and why
1).12x-4y=8
2).3y=-x+5
3).y=1/3x-5
4).12x-10=4y
5).2/3×+2y=8
NEED HELP FAST!
1.
(08.05 LC)
A student is trying to solve the system of two equations given below:
Equation P: y + z = 6
Equation Q: 8y + 7z = 1
Which of the following is a possible step used in eliminating the y-term? (1 point)
(y + z = 6) • –8
(y + z = 6) • 7
(8y + 7z = 1) • 7
(8y + 7z = 1) • 8
Answer:
(y + z = 6) • –8
Step-by-step explanation:
Because in order to eliminate 8 you will need to multiply by a negative number so that you can eliminate a positive number.
Hope this helped!
Please help! find the solution of this system of equations -6x + 2y=38 6x - 8y= -44
Solve it by using the elimination method.
-6x and 6x eliminate each other.
You have -6y=-6
Y=1
Plug this in into another equation and you have
-6x+2(1)=38
solve for x to get
X= -6
Find two consecutive whole numbers that √46 lies between.
Two consecutive whole numbers that √46 lies between are 6 and 7.
The given surd is √46.
We need to find two consecutive whole numbers that √46 lies between.
What are consecutive whole numbers?Numbers that follow each other in a regular counting order or pattern are called consecutive numbers. They are written in a series where the difference between the numbers is fixed and where no numbers are skipped in between.
Now, 46 is lies between the perfect squares 6²=36 and 7²=49.
Therefore, two consecutive whole numbers that √46 lies between are 6 and 7.
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