Answer:
Car B
Step-by-step explanation:
Car B's price changes by the greatest amount (£40) when rounded to the nearest £100 among the three cars.
To determine which price changes by the greatest amount when rounded to the nearest £100, let's first calculate the rounded prices for each car:
Car A: £12380 rounds to £12400
Car B: £16760 rounds to £16800
Car C: £14580 rounds to £14600
Now, let's compare the differences between the original prices and the rounded prices:
- For Car A: £12400 - £12380 = £20
- For Car B: £16800 - £16760 = £40
- For Car C: £14600 - £14580 = £20
The greatest difference is £40, which occurs for Car B. Therefore, the price of Car B changes by the greatest amount when rounded to the nearest £100.
Hello! I’m confused and I need some help to complete this. I will mark brainliest
Answer: a) x=37,
b)no solutions
c)x=0
Step-by-step explanation:
In then the problem, you will need to isolate the x, use the inverse operation, and solve. For example, if I had the problem x-6=64, i would have to use the inverse operation of 6 to isolate the x. You would add 6 on both sides.(addition is the inverse of subtraction). THat would be x=58.
Please help. Find the value of x
21x is 21x im glad that I can help you
Shelley drove from New Haven, Connecticut, to New York City in 90 minutes. Which equation relates the distance she traveled to her speed?
A.
distance = speed + 90
B.
distance = speed × 90
C.
distance − speed = 90
D.
distance × 90 = speed
The correct answer is B.
Distance = speed + 90
The equation relates the distance she traveled to her speed is Speed x 90 = distance.
The speed a person travels is the total distance driven per the total time it took to travel.
Speed = total distance / total time
The time it took to drive is 90 minutes: Speed = distance / 90
In order to determine the equation that relates distance to speed, make distance the subject of the formula. In order to do this, multiply both sides of the equation by 90: Speed x 90 = distance.
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25 PTSS EAY PLZZ ANYONE KNOW THIS I WILL GIVE 5 RATED STAR THANKS AND PROMISE BRAINLIEST ASAPExplain how to write a function rule from the table below. Then write a function rule.
x 2 4 6
y 1 0 –1
Answer:
y = -1/2x +2
Step-by-step explanation:
The linear and quadratic function rules we usually study in algebra come in several forms.
For linear function rules (equations of a line), there are more than half a dozen different forms, each with its own use. A few that often come in handy are the 2-point form, the slope-intercept form, the point-slope form, and the intercept form. Here, the 2-point form can be useful, since you have several points on the line to choose from.
The 2-point form of the equation of a line is ...
y = (y2 -y1)/(x2 -x1)·(x -x1) + y1
point (x1, y1) and point (x2, y2) can be any pair of the given points, in any order. Let's use the first two for points 1 and 2.
y = (0 -1)/(4 -2)·(x -2) +1
y = -1/2(x -2) +1 . . . . . . . . this is a suitable function rule. In this simplified form, it is in point-slope form, where -1/2 is the slope and (2, 1) is the point.
If you want to simplify this a bit, you can put it into slope-intercept form by eliminating the parentheses and combining the constant terms:
y = -1/2x +2
Answer:
notice that every time x increases by 2, y decreases by 1. So, a first guess would be
y = -1/2 x
But, -1/2 (2) = -1, and y(2) = 1, so we need to add 2 at the start. So,
y = 2 - 1/2 x
A printer can print 27 pages in 4.5 min. How much time does it need to print 324 pages?
Answer:
54 minutes
Step-by-step explanation:
We can write a proportion to solve this problem. Put the number of pages over the minutes
27 pages 324 pages
-------------- = ---------------
4.5 minutes x minutes
Using cross products
27 * x = 324 * 4.5
27x = 1458
Divide each side by 27
27x/27 = 1458/27
x =54
How do you know how long a trip will take if you have 399 mileage on one tank of gas but the maximum you can drive in one day is 600?
Answer:
Step-by-step explanation:
600 minus 399 is 201
The trip will take at least two days given the car's mileage limit per tank and the daily driving limit.
To determine how long a journey will take with the given constraints, we first need to understand the limitations. The car can run for 399 miles on one tank of gas, and the maximum you can drive in one day is fixed at 600 miles. Since the daily maximum driving distance is greater than the mileage per tank, the limiting factor is the gas tank range.
Assuming you start with a full tank, you would need to refill once you've driven 399 miles. If there is no wait time for refilling and the efficiency of the car does not change, you could potentially drive for another 399 miles after refilling. However, due to the 600 miles per day limit, you would need to stop before exhausting your second tank. To find out the total driving time, divide the total distance by the daily driving limit (if the total distance is larger than what can be covered in one day).
For example, if the total trip is 700 miles, it would take at least two days because you can cover 600 miles on the first day and the remaining 100 miles on the second day. However, this does not account for any potential stops, breaks, or other delays.
Given that K is the centroid of EFG find GE and GI
Answer:
D) GE = 10 and GI = 12
Step-by-step explanation:
Given: KI = 4 and GH = 5
K is the centroid of EFG
So
KI = 1/3 (GI)
GI = 3 (KI) = 3(4) = 12
Because K is the centroid of EFG so GH = HE = 5
GE = GH + HE
GE = 5 + 5
GE = 10
Answer
GE = 10 and GI = 12
Answer:
D. GE = 10; GI = 12
Step-by-step explanation:
Given that K is the centroid of EFG, then GH = HE = 5, so GE = GH + HE = 5 + 5 = 10
The 2/3 rule states that the centroid is 2/3 of the way from the vertex to the opposite midpoint. This means that GK is doubled than KI, then GK = 2*4 = 8, and GI = GK + KI = 8 + 4 = 12
the funtions f(x) and g(x) are graphed below. If g(x)= f(x+k), what is the value of k
Answer:
k=6
Step-by-step explanation:
We are given a graph of the function f(x) and g(x) such that both the graphs are parabola and the graph of g(x) is a shift of graph of f(x) some units to the left.
The vertex of the graph of f(x) is at x=4
whereas the vertex of the graph of the function g(x) is at x= -2.
This means that the graph of g(x) is a shift of the graph of f(x) 6 units to the left.
This means that:
g(x)=f(x+6)
( Since the translation of a function f(x) k units either to the left or to the right is denoted by:
f(x+k)
when k>0 the shift is to the left and if k<0 the shift is to the right.)
This means that the value of k is 6
-x+ 3y = 14
3x – 3y =-6
How would do in steps ?
for the first part:
Let's solve for x.
−x+3y=14
Step 1: Add -3y to both sides.
−x+3y+−3y=14+−3y
−x=−3y+14
Step 2: Divide both sides by -1.
−x/−1 = −3y+14/−1
x=3y−14
Answer:
x=3y−14
Second part:Let's solve for x.
3x−3y=−6
Step 1: Add 3y to both sides.
3x−3y+3y=−6+3y
3x=3y−6
Step 2: Divide both sides by 3.
3x/3= 3y−6/3x=y−2
Answer:
x=y−2
if f(x) = x to the 3rd power minus 2x to the 2nd power, what expression is equivalent to f(i)
[tex]
f(x)=x^3-2x^2 \\
f(i)=i^3-2i^2=\boxed{-i+2}
[/tex]
Hope this helps.
r3t40
The sum of two numbers 104 their difference 6 ..Find the numbers
Answer:
The numbers are 49 and 55
Step-by-step explanation:
The sum of two numbers 104
x+y = 104
their difference 6
x-y = 6
Add the two equations together to eliminate y
x+y = 104
x-y = 6
------------------
2x = 110
Divide by 2
2x/2 =110/2
x = 55
x+y = 104
55+y =104
Subtract 55 from each side
55-55+y = 104-55
y =49
Final answer:
To find the two numbers that add up to 104 and have a difference of 6, we solve a system of equations and discover that the numbers are 55 and 49.
Explanation:
The question asks us to find two numbers whose sum is 104 and whose difference is 6. To find the numbers, we can set up a system of equations. Let the two numbers be x and y.
x + y = 104 (sum of the numbers)
x - y = 6 (difference of the numbers)
We solve these equations simultaneously. Adding both equations, we get:
2x = 110
x = 55
Substitute x = 55 in the first equation to find y:
55 + y = 104
y = 104 - 55
y = 49
So, the two numbers are 55 and 49.
The factory produces 4 gallons of orange juice for every 24 gallons of apple juice but is use this ratio to answer the question what unit rate describes the rate at which the factory produces juice
Answer:
1/6 (1 gallon of orange juice for every 6 gallons of apple juice)
Step-by-step explanation:
4/24=24/4x1/36
This is because you reverse the division (or fraction) into a easier to solve equation, and the 1/36 is there to balance out that change.
The expression 37-6 can be written as____
Answer:
31
Step-by-step explanation:
Do the subtraction: 37 - 6 = 31
Match the following items.
A jar contains a mixture of 12 black marbles, 10 red marbles, and 18 white marbles, all the same size. If two marbles are drawn from the jar without being replaced, what would the probability be:
1.
of drawing two black marbles?
2.
of drawing a white, then a black marble?
3.
of drawing two white marbles?
4.
of drawing a black, then a red marble?
Options
51/260
1/13
9/65
11/130
I have to match them up
This problem can be solved using probability, the equation of the probability of an event A is P(A)= favorable outcomes/possible outcomes. The interception of two probable events is P(A∩B)= P(A)P(B).
There are 12 black marbels, 10 red marbles, and 18 white marbels, all the same size. If two marbles are drawn from the jar without being replaced.
The total of the marbles is 40.
If two marbles are drawn from the jar without being replaced, what would the probability be:
1. of drawing two black marbles?
The probability of drawing one black marble is (12/40). Then, the probability of drawing another black marble after that is (11/39) due we drawing one marble before.
P(Black∩Black) = (12/40)(11/39) = 132/1560, simplifying the fraction:
P(Black∩Black) = 11/130
2. of drawing a white, then a black marble?
The probability of drawing one white marble is (18/40). Then, the probability of drawing then a black marble after that is (12/39) due we drawed one marble before.
P(White∩Black) = (18/40)(12/39) = 216/1560, simplifying the fraction:
P(White∩Black) = 9/65
3. of drawing two white marbles?
The probability of drawing one white marble is (18/40). Then, the probability of drawing another white marble after that is (17/39) due we drawed one marble before.
P(White∩White) = (18/40)(17/39) = 306/1560, simplifying the fraction:
P(White∩White) = 51/260
4. of drawing a black marble, then a red marble?
The probability of drawing one black marble is (12/40). Then, the probability of drawing then a red marble after that is (10/39) due we drawed one marble before.
P(Black∩Red) = (12/40)(10/39) = 120/1560, simplifying the fraction:
P(Black∩Red) = 1/13
What’s the square root of 36?
Answer:
6
Step-by-step explanation:
the square root is basically exponents 6*6 is 6^2 which is 36.
which line is it? help asap
Answer:
q
Step-by-step explanation:
The equation of a line in the form
y = mx ( m is the slope ) passes through the origin
y = 2x is in this form
The only graph to pass through the origin is q
---2+
f(x) =
x
What is the range of the function graphed above?
A.
(-0,0)
B. [0,2-)
C. (-,0]
CD. (0,0)
Answer:
The range of the function is [0 , ∞) ⇒ answer B
Step-by-step explanation:
* lets revise the meaning of the domain and the range
- The domain is the values of x
- The domain is all the values of x which make the function is defined
- If there are some values of x make the function undefined, we
exclude these values from the domain
- The range is the values of f(x) which corresponding to the value of x
* Now lets look to the figure
∵ f(x) = √x
- We can not use the negative values for x because there is no
square root for negative numbers
∴ All real negative numbers make the function undefined
- We must exclude them from the domain
∴ The domain is all real numbers greater than or equal zero
∴ x ≥ 0
- To find the range use the first value of the domain
∵ the first value of x = 0
∴ f(0) = √0 = 0
∵ x can not be negative
∵ f(x) = √x
∴ f(x) can not be negative
∴ the range is all real numbers greater than or equal zero
∴ f(x) ≥ 0
OR
f(x) = [0 , ∞)
* The range of the function is [0 , ∞)
Which statement is true about the letter H? It has line symmetry only. It has rotational symmetry only. It has both line and rotational symmetry. It has neither line nor rotational symmetry.
Answer:
it has both line and rotational symmetry
Answer:
youre answer is it has both line and rotational symmetry
Step-by-step explanation:
You roll a standard number cube once. Find P(number greater than o).
Answer:
6/6
Step-by-step explanation:
If a standard number cube has six sides and all the numbers are larger than 0 you have a 6/6 chance
What is the slope of the line that passes through the points (1,7),
(10, 1)?
3/2
2/3
-3/2
-2/3
Answer:
The slope of a line is the change in y divided by the change in x.
( y1 - y2 ) / ( x1 - x2 )
It does not matter which point you choose as (x1, y1) and (x2,y2)
( 7 - 1 ) / ( 1 - 10 )
( 6 ) / ( -9 ) This will simplify to -2/3.
How many solutions does the equation −2y + 2y + 3 = 3 have? One Zero Infinitely many Three
Answer:
Infinitely many solutions.
Step-by-step explanation:
In the equation −2y + 2y + 3 = 3 we see only one variable, and that variable is of the first power. Ordinarily, we'd say that this equation will have 1 solution. However, if we combine like terms, we get 0 + 3 = 3, or 0 = 0, which is true for any and all y values. Infinitely many solutions.
Answer:
Infinitely
Step-by-step explanation:
we have
[tex]-2y+2y+3=3[/tex]
Group terms that contain the same variable
[tex]-2y+2y=3-3[/tex]
Combine like terms
[tex]0=0[/tex] ----> the equation is true for any value of y
therefore
The equation has infinite solutions
Which statement describes the graph of f(x) = 4x2 + 20x + 25?
The graph does not intersect the x-axis.
The graph touches the x-axis at (–2.5, 0).
The graph intersects the x-axis at (–0.4, 0) and (0.4, 0).
The graph intersects the x-axis at (2, 0) and (5, 0).
Answer:
2nd statement is true
Step-by-step explanation:
Please use " ^ " to denote exponentation: f(x) = 4x^2 + 20x + 25.
Take a look at the second statement. If you'll substitute -2.5 for x, to find f(-2.5), you'll find that the result is 0; Thus, this second statement is true.
Answer:
The graph touches the x-axis at (–2.5, 0).
Step-by-step explanation:
Given : f(x) = 4x² + 20x + 25.
To find : Which statement describes the graph .
Solution : We have given
f(x) = 4x² + 20x + 25.
On factoring
4x² + 10x + 10x+ 25 = 0
On taking common 2x from first two terms and 5 from last two terms.
2x ( 2x + 5 ) +5 (2x + 5 ) = 0
On grouping
(2x +5) (2x +5) = 0
For 2x +5 = 0
On subtracting 5 both side
2x = -5
On dividing by 2
x = [tex]\frac{-5}{2}[/tex] = - 2.5
x = - 2.5 .
Points (-2.5 , 0)
Therefore, The graph touches the x-axis at (–2.5, 0).
Movies Plus charges its customers a $10 monthly service fee plus $2 for each movie the customer rents. Movies For Less charges $3 for each movie but does not have a monthly service fee. The costs of renting movies during the same month is represented in the table below.
Which statement is true if 15 movies are rented from each company?
A)Movies For Less costs $5 more.
B)Movies Plus costs $5 more.
C)Movies Plus costs $6 more.
D)Each company charges the same amount.
↓Movie Rentals↓
Answer: A) movies for less cost $5 more
Step-by-step explanation:
10 × 3 =30
15 × 2= 30+10=40 movie plus
15 × 3= 45 movies for less
Answer:
A)Movies For Less costs $5 more.
Step-by-step explanation:
Movies Plus charges its customers a $10 monthly service fee plus $2 for each movie the customer rents.
So, 15 movies from this provider will cost = [tex]10+2(15)[/tex]
=> [tex]10+30=40[/tex] dollars.
Movies For Less charges $3 for each movie but does not have a monthly service fee.
So, 15 movies from this provider will cost = [tex]15\times3=45[/tex] dollars.
Comparing both providers, we can see that Movies For Less charges $5 more than Movies Plus.
Therefore, option A is correct.
Determine which equations have the same solution set
WIN
+ 1 = 6x by recognizing properties, rather than
solving. Check all that apply.
4 - 6x + 1 = 36x
E-x= 6x
4- x + 1 = 6x
+x= 6x
5 = 30x
5 = 42x
The equations that have the same solution set are equations 1, 3, 5, and 6.
How to determine the equation that has the same set of equationTo determine which equations have the same solution set without solving them, we can analyze the equations and identify any properties that indicate equivalent solutions. Let's examine each equation:
1. WIN + 1 = 6x
2. 4 - 6x + 1 = 3
3. 6x - x = 6x
4. 4 - x + 1 = 6x
5. x = 6x
6. 5 = 30x
7. 5 = 42x
Equations with the same solution set:
- Equations 1 and 3 both have the term "6x" on one side and a different expression on the other side. They indicate that the solution for x is the same.
- Equations 5 and 6 both have the same equation "x = 6x", which implies the solution for x is the same.
Therefore, the equations that have the same solution set are equations 1, 3, 5, and 6.
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Answer:
The correct answers are
Step-by-step explanation:
1 2 6
Will mark brainliest!!!
Which equation represents: "Four times an unknown integer, multiplied by three times the unknown integer plus a different unknown integer, equals 100."
A) 12x^2 + 4xy + 100 = 0
B) 12x^2 − 4xy + 100 = 0
C) 12x^2 + 4xy − 100 = 0
D) 12x^2 − 4xy − 100 = 0
Let's call the first unknown integer x and the second one y.
"Four times an unknown integer"
We can write it as 4x"Multiplied by three times the unknown integer plus a different unknown integer"
4x is multiplied by 3x+y, so 4x(3x+y)=12x²+4xy"Equals 100."
12x²+4xy=100And so the answer is C: 12x²+4xy-100=0
12x²+4xy-100=0. The equation that represents the statement of the problem is 12x²+4xy-100=0.
The equation is represents by "Four times an unknown integer, multiplied by three times the unknown integer plus a different unknown integer, equals 100."
First, we have the statement "four times an unknown integer", this is:
4x
Then, multiplied by three times the unknown integer plus a different unknown integer, that is:
4x(3x+y)
And finally, the equation above is equals to 100.
4x(3x+y)=100
Operating
(4x)(3x)+(4x)(y)=100
12x²+4xy=100
Then, subtracting 100 on both sides of the equation.
12x²+4xy-100=100-100
Obtaining
12x²+4xy-100=0
At a pizza shop, 80% of the customers order a pizza, 15% of the customers
order a salad, and 10% of the customers order both a pizza and a salad.
If a customer is chosen at random, what is the probability that he or she
orders either a pizza or a salad?
90% out of 105% which would be 0.85
Answer: 0.85
Step-by-step explanation:
Let A be the event that the customer orders a pizza and B be the event that the customer orders a salad.
Then , we have [tex]P(A)=80\%=0.80[/tex]
[tex]P(B)=15\%=0.15[/tex]
[tex]P(A\cap B)=10\%=0.10[/tex]
Now, the probability that he or she orders either a pizza or a salad is given by :-
[tex]P(A\cup B)=P(A)+P(B)-P(A\cap B)\\\\\Rightarrow\ P(A\cup B)=0.80+0.15-0.10=0.85[/tex]
Hence, the required probability = 0.85
help please
if the first term of a sequence is 8 and the tenth term is 53 what is the common difference?
step by step please
Answer:
Common difference = 5.
Step-by-step explanation:
General term of an arithmetic sequence is a1 + (n - 1)d where a1 = first term and d = common difference.
So here the first term is 8 + (1-1)d = 8 and the 10th term = 8 + (10-1)d = 53
giving 8 + 9d = 53
9d = 45
d = 5.
To calculate the common difference in an arithmetic sequence, subtract the first term from the tenth term and divide by 9 (the number of terms subtracted by one). In this case, (53-8)/9 gives the common difference as 5.
Explanation:The student's question regards finding the common difference in an arithmetic sequence. In an arithmetic sequence, the difference between any two consecutive terms is constant. This is called the 'common difference'.
To find the common difference, you subtract the first term from the tenth term and divide by the number of terms subtracted by one. In this case, the tenth term is 53 and the first term is 8. So, you subtract 8 from 53, giving you 45. Then you divide 45 by (10-1), which is 9, giving a common difference of 5. Therefore, the common difference for this arithmetic sequence is 5.
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Q(t)=Q(0)e^pt
The above model describes the exponential decay of chemical element. t is the time in years, Q(0) is the initial amount of the chemical element, Q(t) is the amount of chemical element after t years and p is a constant. It is known that every 1600 years the amount of the chemical element drops to half ( its half-life is 1600 years). If the term e^p in the above equation can be replaced by the term x^y, where both x,y rational numbers, what is x and y?
(a) x=sqrt{frac{1}{2}}, y=frac{1}{1600}
(b) x=frac{1}{2}, y=frac{1600}{3}
The constant p is determined by the half-life of 1600 years, and since after one half-life, the amount of the element is half of its initial value, we find that x=1/2 and y=1/1600, as e^p can be expressed as (1/2)^(1/1600). Therefore, option (a) is the correct answer.
The equation Q(t) = Q(0)e^pt describes an exponential decay process, such as the decay of a chemical element over time. Given that the half-life of the chemical element is 1600 years, after this period the quantity of the element will be half of its original amount. According to the properties of exponential decay, we know that after one half-life, Q(t) = Q(0)/2.
Substituting t = 1600 into the equation and knowing that Q(1600) = Q(0)/2, we get Q(0)/2 = Q(0)e^(1600p). Simplify by dividing both sides by Q(0), resulting in 1/2 = e^(1600p). To find p, take the natural logarithm of both sides, yielding ln(1/2) = 1600p ln(e), and since ln(e) = 1, we have p = ln(1/2)/1600.
Now, to express e^p as x^y, with both x and y being rational numbers, we look for a rational base x that can represent e^ln(1/2), which simplifies to (1/2). So, x would be 1/2, and because the half-life is 1600 years, y will be proportional to the fraction of that time. Hence, y = t/1600, where t is time in years. From this, you can infer that the base x equals 1/2 and y is 1/1600 for each year surpassing the half-life. Therefore, the correct answer is (a) x = sqrt(1/2), y = 1/1600.
Please help will give brainliest brainliest
Answer:
D. [tex]A\subset \mathbb{R}\times\mathbb{R}.[/tex]
Step-by-step explanation:
Consider the set
[tex]A=\left\{(2,3),\ (5,1),\ (-3,-2),\ (0,3)\right\}[/tex]
This set consists of four ordered pairs.
The first numbers in these pairs are [tex]2,\ 5,\ -3,\ 0.[/tex] These numbers are integer numbers (not natural, because -3 is negative).
The second numbers in these pairs are [tex]3,\ 1,\ -2,\ 3.[/tex] These numbers are integer numbers too (not natural, because -2 is negative).
Options contain only natural and real sets, so, the first and the second numbers are real numbers and
[tex]A\subset \mathbb{R}\times\mathbb{R}.[/tex]
Answer:
D. R X R
Step-by-step explanation:
The answer is choice D because, the set of the actual numbers of R has a 0 so A is a subset of R X R
decide if the graphs of each pair will be parallel, perpendicular or neither.
a. y = -2x + 5 and y = 1/2x - 7
b. y = 3x + 9 and 3y - x = 6
c. 4y - x = 8 and y = 1/4x - 3
part b //
find the equation of the line that is:
a. parallel to y = 3x - 5 and passes through (-2, 1).
b. perpendicular to y = -2/5x + 7 and passes through (4, 6).
so parallel is just numbers with the same slope but different x value
and perdicular is the One with different signs and oppisite reciprocals
a) perpendicular because -2 is the oppisite sign and reciprocal of 1/2
b)neither
c) niether
and B)
a) 3x-2
b)y=5/2 +4
i think