Answer:
The train travelled x + 200 km
Answer:
The number of kilometres traveled by the bus is x kilometres. The train travels 200 kilometres farther than the bus, meaning that the train traveled x kilometres, and an additional 200 kilometres.
So, the number of kilometres traveled by the train would be the x km traveled by bus, plus 200 km; or x + 200 km.
Hope this helps!
The perimeter of a triangle is 7 a − 11 b . If two of its sides are 2 a + b and a − 9 b , what is the third side?
Answer:
To find the missing side we need to calculate the sum of the two given sides and then subtract that from the perimeter.
7a - 11b - (2a + b + a - 9b)
= 7a - 11b - (3a - 8b)
= 7a - 3a - 11b + 8b
= 4a - 3b
A right triangle has a side of length 1 fourth and a hypotenuse of length 1 third. What is the length of the other side?
Answer:
The other side = [tex]\frac{1}{12}[/tex] units
Step-by-step explanation:
A right triangle has a side of length [tex]\frac{1}{4}[/tex] units and;
the hypotenuse is [tex]\frac{1}{3}[/tex]
According to Pythagorean theorem,
a² + b² = c² , where a and b are the two legs of a triangle and c is the hypotenuse.
Lets say a² = [tex](\frac{1}{4}) ^2[/tex] and c² = ([tex](\frac{1}{3} )^2[/tex]
b² = c² - a²
b² = [tex]\frac{1}{9}[/tex] - [tex]\frac{1}{16}[/tex] = [tex]\frac{1}{144}[/tex]
So b = [tex]\sqrt{1/144}[/tex] = [tex]\frac{1}{12}[/tex] units.
So the other side = [tex]\frac{1}{12}[/tex] units.
A grocery store sells a bag of 6 oranges for $2.76. How much would it cost for 5 oranges?
Answer:
$2.3
Step-by-step explanation:
6oranges=2.76$
5oranges=?
5×2.76/6.
=$2.3
The solution to an inequality is given in set-builder notation as {x l x > two-thirds}. What is another way to represent this solution set? (–∞ , two-thirds] (–∞ , two-thirds) (two-thirds, ∞) [two-thirds, ∞)
Answer:
correct choice is C ( ,∞).
Step-by-step explanation:
A set-builder notation is a mathematical notation for describing a set by enumerating its elements or stating the properties that its members must satisfy. In your case, the set builder notation {x l x > } means that the set consists of all elements that are greater than.
Consider number line. Plot the point as unfilled circle that goes after > sigh and shade the ray that goes from this point to the right. Then another way to represent this solution is
Answer:
c) (two-thirds, ∞)
Step-by-step explanation:
which best describes how the graph of g(x) = radical 25/9x
relates to the graph of the parent function, f(x)= radical x?
Answer:
Step-by-step explanation:
g(x) = radical 25/9x would be clearer if written as g(x) = radical (25/9)x. Note that radical (25/9) = (5/3).
The graph of g(x) = radical (25/9)x would have the same shape as that of g(x) = radical x EXCEPT that it would be stretched vertically by a factor of (5/3).
Answer: g(x) = radical 25/9x would be clearer if written as g(x) = radical (25/9)x. Note that radical (25/9) = (5/3).
The graph of g(x) = radical (25/9)x would have the same shape as that of g(x) = radical x EXCEPT that it would be stretched vertically by a factor of (5/3).
Step-by-step explanation:
Use the Quadratic Formula to solve y=3x2+9x-13
Three numbers are in ration 3: 4: 8. The sum of the two larger numbers exceeds twice the smallest by 48. Find the numbers.
Answer:
24, 32, 64
Step-by-step explanation:
12x=6x+48
-6x -6x
6x=48
x=8
8(3)=24
8(4)=32
8(8)=64
Answer:
24, 32, 64
Step-by-step explanation:
1st=3x
2nd=4x
3rd=8x
2(3x)+48=4x+8x
6x+48=12x
48=6x
x=8
SO:
1st =24
2nd= 32
3rd= 64
Seven lamps labeled A through G are arranged in a row. Each lamp has its own switch. Now lamps A, C, E, and G are on and other lamps are off. Ben starts to flip each switch from A to G the following way: if the lamp is on, he turns it off; if the lamp is off, he turns it on. He repeats the pattern until he flips the switches 2011 times. Which lamps are on finally? dont bully me im in 5th grade also this is due in 4 days
Answer:
O=on
X=off
OXXOXOX after 2011 flips.
Step-by-step explanation:
There are many ways to get the answer.
A. Actually flip them 2011 times.
One way is to put 7 cards on the table, and name them A to G, with A,E,C,G facing up, and the other facing down.
Now flip the cards in order A to G 2011 times and find the answer.
Since you have four days to find the answer, you only have to flip about 500 times a day.
B. Simplify procedure A above.
Do the same as above, actually flip the cards, but only 14 times.
You will find that the cards are restored to the original position after 14 flips.
If we divide 2011 by 14, we get a quotient of 143 with a remainder of 9.
We know we don't have to make 143 sets of 14 flips. We only need to make 9!
Then again, we know that after 7 flips, the lights will be all opposite.
If O=on, and X=off then the situations are
OXOXOXO initial
XOXOXOX after 7 flips
OXXOXOX after 9 flips, which is also after 2011 flips, and that is the final answer.
Can someone HELP PLEASE
Answer:
∠ ABE = 46°
Step-by-step explanation:
Since BE bisects ∠ ABC , then
∠ EBC = ∠ ABE, substitute values
4x - 6 = 2x + 20 ( subtract 2x from both sides )
2x - 6 = 20 ( add 6 to both sides )
2x = 26 ( divide both sides by 2 )
x = 13
Thus
∠ ABE = 2x + 20 = 2(13) + 20 = 26 + 20 = 46°
HELP PLZ Javier and his study group designed a word problem, equation, table, and graph that were all supposed to represent the same information, as shown below. Word Problem A movie theater charges $8.00 for each ticket. What is the total cost, y, for x tickets? Equation y = 8x Graph Movie Theater Costs A graph with number of tickets sold on the x-axis and total cost on the y-axis. A line goes through points (8, 1), (16, 2). Table A 2-column table with 4 rows. Column 1 is labeled x with entries 5, 8, 12, 13. Column 2 is labeled y with entries 40, 64, 96, 104. Which piece of information does not represent the same information as the other three parts? word problem equation graph table
Answer:
Graph
Step-by-step explanation:
The graph swapped the y and x axis values.
Answer:
Graph
Step-by-step explanation:
Graphing Exponential Functions: Which function is graphed below?
A) y=1/3(3)^x
B) y=3(1/3)^x
C) y=)1/2)^+2
D) y=(2)^x-1
Thank you!!
Answer:
B
Step-by-step explanation:
The y-intercept (or initial value) is 3 which means the coefficient of the exponential term is 3. The only answer choice that follows this is choice B.
59.6487 to 2 decimal places
Answer:
59.65
Step-by-step explanation:
2 decimal places is to the hundredths place.
Answer: 59.65
Step-by-step explanation: When rounding a number to a given place, look at the next place y o the right. If that digit is 5 or more, "round up" by adding one to the given place.
If the number to the right is 4 or less, leave the given place "as is"
In this example, the hundredths place is 4, the place to the right has an 8. So you round up the 4 to a 5. You end up with 59.65
PLZ HELP PLZ
I WOULD APPRECIATE IT PLZ
19 and 20
let given points be
(x1,y1)=(-3,-3)
and(x2,y2)=(3,1)
equation of given line ,
(y-y1)= ((y2-y1)/(x2-x1))×(x-x1)
therefore, 2x-3y+3=0.........(i)
comparing (i ) with ax+by+c=0 we get
a=2
b= -3
c=3
then the line parallel to (i) is
ax+by+k=0 where k = -bc
that is, 2x-3y+9=0 is the required equation
Answer:
19. y = 2/3x - 10/3
20. y = -3/2x - 4
Step-by-step explanation:
First off, we need to find the equation of the line shown. There are two coordinates given. The slope of the line is (1 - -3) / (3 - -3) = 4 / 6 = 2/3. The line obviously intersects the y-axis at -1, so the equation of the line is y = 2/3x - 1.
19. If a line were to be parallel to the given line, the line would have to have a slope of 2/3. So, we have y = 2/3x + b.
To solve for b, all you need to do is substitute the coordinates given, (2, -2), and solve.
-2 = (2/3) * 2 + b
b + 4/3 = -2
b = -6/3 - 4/3
b = -10/3.
So, the equation of the line is y = 2/3x - 10/3.
20. If a line were to be perpendicular to the given line, the line would have a slope that is the negative reciprocal of the given line's slope. The slope would be -3/2. So, we have y = -3/2x + b.
To solve for b, once again, put in the given coordinates, (-4, 2), and solve.
2 = (-3/2) * (-4) + b
b + 6 = 2
b = -4
So, the equation of the line is y = -3/2x - 4.
Hope this helps!
X/8 - 9 = 1 Solve for x
Answer:
x=80
Step-by-step explanation:
x/8-9=1x/8=9+1x/8=10x=80Find the percentage change: The price was $60. Now it is $40.
Answer:
33.33%
Step-by-step explanation:
The percentage was a decrease.
Let the percent be x.
60 × (1 - x%) = 40
60 × (1 - x/100) = 40
1 - x/100 = 40/60
-x/100 = 40/60 - 1
-x/100 = -1/3
x/100 = 1/3
x = 1/3 × 100
x = 33.33333
Hello!, im a little stuck on this
Answer:
61 seats.
Step-by-step explanation:
This is an example of an arithmetic sequence.
The formula for this is an = a + (n - 1)d
Where an is the number of seats in the 19th row, a is the number of seats in the first row, n is the 19th row, and d is the common difference.
We can calculate the common difference by finding how many extra seats there are from the first row to the second. 27 - 25 = 2. So, with each additional row, there are two more seats.
a19 = 25 + (19 - 1) * 2
a19 = 25 + 18 * 2
a19 = 25 + 36
a19 = 61
So, there are 61 seats in the 19th row.
Hope this helps!
Answer:
i think 61 i hope im right
Step-by-step explanation:
Susie needs to melt some chocolate to use in a recipe she found in a cookbook. The cookbook calls for melting the chocolate at a low temperature of 30 degree celsuis . What temperature in degrees Fahrenheit will she need to set her stove to melt the chocolate? Round your answer to the nearest whole degree. The solution is
Answer:
The temperature needed to melt the chocolate = 86 degree Fahrenheit.
Step-by-step explanation:
The given temperature = 30 degrees Celsius.
Now we have to calculate the temperature in Fahrenheit. So just covert the given degree Celsius into Fahrenheit. Therefore multiply the 30 with 9/5 and add the 32 so the remaining answer is the temperature in the Fahrenheit. Below is the calculation to convert the degree Celsius into Fahrenheit.
Temperature = 30 × 9/5 + 32 = 86 Fahrenheit.
ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Answer:
[tex]t = 2.86 \: s[/tex]
The ball remains in the air for 2.86 seconds.
Step-by-step explanation:
A baseball is hit into the air, and its height above the ground is described by the function
[tex]H(t) = -16t^2 + 45t + 2[/tex]
Where H(t) represents the height of the ball t seconds after it is hit.
The ball remains in the air before it hits the ground.
When the ball hits the ground,
[tex]H(t) = 0[/tex]
So,
[tex]0 = -16t^2 + 45t + 2[/tex]
The equation may be solved using the quadratic formula.
[tex]$t=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$[/tex]
Where
[tex]a = -16 \\\\b = 45 \\\\c = 2 \\\\[/tex]
So,
[tex]t=\frac{-(45)\pm\sqrt{(45)^2-4(-16)(2)}}{2(-16)} \\\\t=\frac{-45\pm\sqrt{(2025 - (-128)}}{-32} \\\\t=\frac{-45\pm\sqrt{(2153}}{-32} \\\\t=\frac{-45\pm 46.4004}{-32} \\\\t=\frac{-45 + 46.4004}{-32} \: and \: t=\frac{-45 - 46.4004}{-32}\\\\t= -0.04 \: and \: t = 2.86 \\\\[/tex]
Since the time cannot be negative, discard the negative value and accept the positive value
[tex]t = 2.86 \: s[/tex]
Therefore, the ball remains in the air for 2.86 seconds.
in a box of chocolates, 1/5 of the chocolates contains nuts. the rest do not.
write down the ratio of the number of chocolates that contains nuts to the number of chocolates that do not contain nuts .
give you answer in the form 1: n
Answer:
the ratio would be 1:4
Step-by-step explanation:
ratio of those who has nuts:
1/5
ratio of those who dont:
1-1/5=4/5
one against another:
1/5 : 4/5 = 1:4 = with : without
Evaluate: [tex]3-2^2+4*3+5[/tex]
Answer:
16
Step-by-step explanation:
Apply PEMDAS:
Solve the exponent, multiply from left to right, and then subtract and add from left to right.
[tex]3-2^2+4*3+5\\\\3-4+4*3+5\\\\3-4+12+5\\\\-1+12+5\\\\11+5\\\\\boxed{16}[/tex]
Answer: 16
Step-by-step explanation:
The important thing to remember here is the Order of Operations
The Order of Operations states that first solve Parentheses, then Exponents, then Multiplication and Division, then Addition and Subtraction.
There are no parentheses.
Exponents: 3 - 4+4*3+5
Multiplication and Division: 3 - 4 + 12 + 5
Addition and Subtraction:
-1+12+5
11+5
16
Hope it helps <3
Expand the following:
a) x(x + 2)
b) x(2x - 5)
c) 2x(3x + 4)
d) 6x(x - 2)
Answer:
[tex]a. \: {x}^{2} + 2[/tex] [tex]b. \: 2 {x}^{2} - 5x[/tex] [tex]c. \: 6 {x}^{2} + 8x[/tex] [tex]d. \: 6 {x}^{2} - 12x[/tex]solution,
[tex]a. \: x(x + 2) \\ \: \: = x \times x + 2 \times x \\ \: \: = {x}^{2} + 2x[/tex]
[tex]b . \: x(2x - 5) \\ \: = x \times 2x - x \times 5 \\ \: \: = 2 {x}^{2} - 5x[/tex]
[tex]c. \: 2x(3x + 4) \\ \: = 2x \times 3x + 2x \times 4 \\ \: \: = 6 {x}^{2} + 8x[/tex]
[tex]d. \: 6x(x - 2) \\ \: \: = 6x \times x - 6x \times 2 \\ \: \: = 6 {x}^{2} - 12x[/tex]
Hope this helps...
Good luck on your assignment..
Determine the intercepts of the line.
additional expenses made after purchasing an article added to its actual cost are called————
Answer:
by definition : Additional expenses made after buying an article are included in the cost price and are known as overhead expenses.
Step-by-step explanation:
Graphically represent the increase in emission of greenhouse gasses in India over a period of 5 years.
Answer:
Check it below
Step-by-step explanation:
According to GHG platform India, in the period between [2011-2015] there was a growth of emissions in tons of Carbon Dioxide. As it follows below.
The Energy sector is the segment that contributes the most with this, followed by the Agricultural and the Industries and the Waste.
What is the solution set of {xlx<-3}{xlx>5)?
all real numbers
all numbers except -3 and 5
the empty set
the numbers between -3 and 5
Explanation:
The first set {x | x < -3} means we're talking about numbers smaller than -3. This includes -4, -5, -6, etc
The second set {x | x > 5} means we're talking about numbers larger than 5. So things like 6,7,8,...
Combining both at the same time, we want to find a number that is both smaller than -3 and larger than 5. This is impossible as no such number exists. You can pick one or the other, but not both.
There are no solutions. Since there are no solutions, the solution set is the empty set.
What is the quotient of 8 1/4×3/4
Answer:
6 3/16
Step-by-step explanation:
8.25x.75=6.1875, or 6 & 3/16
Answer:
[tex]6\frac{3}{16}[/tex]
Step-by-step explanation:
[tex]8 \frac{1}{4} * \frac{3}{4} \\\\\frac{33}{4} * \frac{3}{4} = \frac{99}{16} \\\\\frac{99}{16} = 6\frac{3}{16}[/tex]
Hope this helps! :)
- Clout Answers
Brainliest is greatly appreciated :)
PLEASE HELP ME I DO NOT HAVE TIME AND NEED TO PASS
Answer:
X=8.8 and Y=1
Step-by-step explanation:
PLEASE HELP ! ! ! pleaseeeee ! ! ! ! ! :C
Answer:
5/2
Step-by-step explanation:
When you multiply exponents, you add the powers, and when you subtract exponents, you subtract the powers.
Step 1: Move negative exponents
[tex]\frac{2^25^6}{2^35^35^2}[/tex]
Step 2: Combine exponents
[tex]\frac{2^25^6}{2^35^5}[/tex]
Step 3: Remove like terms
[tex]\frac{5^1}{2^1}[/tex]
Step 4: Exponent
5/2
Solve this equation with a variable term on both sides. 5.1y = –0.3y – 21.6 What is the solution? y =
Answer:
y = -4
Step-by-step explanation:
5.1y = –0.3y – 21.6
5.1y + 0.3y = -21.6
5.4y = -21.6
y = -4
Answer:
y= -4
Step-by-step explanation:
Solve this equation with a variable term on both sides.
5.1y = –0.3y – 21.6
What is the solution?
y = -4
HELP ME PLEASE PLEASE
Answer:
x=0 , y=4
Step-by-step explanation:
3x - 3y = -12 - eq1
4x + 3y = 12 - eq 2
Add eq 1 and 2
3x - 3y + 4x +3y = -12 + 12
7x = 0
x = 0
By substituting the value of x in eq 2
4x + 3y = 12
4(0) + 3y = 12
3y = 12
y = 12 / 3
y = 4
Answer:
(x,y)=(24,-28)
Step-by-step explanation:
1. Multiply both sides by -1
3x+3y=-12
-4x-3y-=-12
2. Elimnate one variable by adding the equations
-x=-24
3. Change the signs
x=24
4. Susbstitue the value of x in the equation 3x+3y=-12
3 x 24 + 3 y = -12
y=-28
5. Check the solution by plugging in the values.
(x,y)=(24,-28)