Answers
Related Questions
Given 4x+5y=2b and x+3y=b what is the value of 17y
Answers
4x + 5y = 2(x + 3y)
4x + 5y = 2x + 6y distributed 2 on the right side
2x + 5y = 6y subtracted 2x from both sides
2x = y subtracted 5y from both sides
if y = 2x
then 17(y) = 17(2x)
17y = 34x
Answer: 34x
A store had 250 bottles of water. Each week, 40% of the bottles were sold and 48 new bottles arrived in shipments. Which recursive function best represents the number of bottles of water in the store, given that f(0) = 250?
A: f(n) = f(n − 1) ⋅ 0.6 + 48, n > 0
B: f(n) = 250 − f(n − 1) ⋅ 0.4 + 48, n > 0
C: f(n) = f(n − 1) ⋅ 0.4 + 48, n > 0
D:f(n) = 250 − f(n − 1) ⋅ 0.6 + 48, n > 0
Answers
Let f(n) represent the number of bottles in the store on n-th week.
When n=0, f(n)=250.
Then 40% of the bottles were sold, this means that were sold 250·0.4=f(n)·0.4. The amount of bottles left is 250-250·0.4=f(n)-f(n)·0.4=f(n)·0.6.
If 48 new bottles arrived in shipments, then the amount of bottles became
f(n)·0.6+48=f(n+1).
Since n>0, then
f(n)=f(n-1)·0.6+48.
Answer: correct choice is A.
Option: A is the correct answer.
A: f(n) = f(n − 1) ⋅ 0.6 + 48, n > 0
Step-by-step explanation:It is given that:
A store had 250 bottles of water.
Each week, 40% of the bottles were sold and 48 new bottles arrived in shipments.
This means that the number of bottles that will be present in the store after 40% of the bottles will be sold at a particular week= 100%-40%=60% plus 48 new arrival
This means that each time the number of bottles in the store will be 60% of the bottles that were sold previous week plus 48.
Hence, if f(n-1) represent the number of bottle in the (n-1)th week then the number of bottles in the nth week will be represented by:
[tex]f(n)=60\%\ of\ f(n-1)+48\\\\i.e.\\\\f(n)=0.6\cdot f(n-1)+48[/tex]
Lines L and M are parallel. Please help @2021CRABTREE
Answers
Lines L and M are parallel
m<2 = 38° (corresponding angles are equal)
According to question if lines L and M are parallel .
Then m<2 also will be 38°
{ corresponding angles are equal}
HOPE IT HELPED YOU .
|4.2 – 6.8| + (2.4 + 7.2) A. 11 B. 12.2 C. 20.6 D. 22
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12.2 jlasjajlsajlajlzwljdazdazwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwww
Answer:
12.2
Step-by-step explanation:i did the work and got 12.2
K=4a+9ab
Solve the equation for a.
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Answer: [tex]a=\frac{k}{9b+4}[/tex]
Step-by-step explanation:
↓↓↓↓↓↓↓↓↓↓↓↓↓↓
First, flip the equation.
[tex]9ab+4a=k[/tex]
Next, factor out variable a.
[tex]a(9b+4)=k[/tex]
Then, divide by 9b+4 from both sides.
[tex]\frac{a(9b+4)}{9b+4}=\frac{k}{9b+4}[/tex]
[tex]=a\frac{k}{9b+4}[/tex]
Hope this helps!
Thank you for posting your question at here on brainly.
-Charlie
Answer:
The value of a is [tex]a=\frac{K}{4+9b}[/tex].
Step-by-step explanation:
The given equation is
[tex]K=4a+9ab[/tex]
We have to solve the above equation for a. So, we need to isolate the variable a.
Taking out a from the left side.
[tex]K=a(4+9b)[/tex]
Divide both sides by 4+9b to get the value of a.
[tex]\frac{K}{4+9b}=\frac{a(4+9b)}{4+9b}[/tex]
Cancel out the common factors from numerator and denominator.
[tex]\frac{K}{4+9b}=a[/tex]
Therefore the value of a is [tex]a=\frac{K}{4+9b}[/tex].
ABCD is a rectangle. find the length of each diagonal. AC= 3(x-2) and BD=x+18 what is AC? What is BD?
Answers
The diagonals of a rectangle are congruent. That means that their lengths are equal. One diagonal is AC, and the other diagonal is BD. AC must equal BD. We set their lengths equal and solve for x.
3(x - 2) = x + 18
Distribute the 3 on the left side.
3x - 6 = x + 18
Subtract x from both sides; add 6 to both sides.
2x = 24
Divide both sides by 2.
x = 12
Now that we know x = 12, we replace x with 12 in BD = x + 18 to find the length of BD.
BD = x + 18 = 12 + 18 = 30
Since the diagonals are congruent, the length of AC is also 30.
Answer: AC = 30; BD = 30
The length of the diagonals of the rectangle are AB = 30 and BD = 30
What is a rectangle?A 4-sided flat shape with straight sides where all interior angles are right angles (90°). Also, the opposite sides are parallel and of equal length.
Given that, ABCD is a rectangle and its diagonals are AC= 3(x-2) and BD=x+18
According to the property of a rectangle,
Diagonals of a rectangle are equal.
Therefore, AC = BD
3(x-2) = x+18
3x-6 = x+18
2x = 24
x = 12
AC = 3(12-10) = 30
BD = 12+18 = 30
Hence, the diagonals of the rectangle are AB = 30 and BD = 30
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I read 40 pages of a book. this is equivalent to 2/3 of the whole book. How many pages does this book have?
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There would be 60 pages in the book totally because you would set 40/x=2/3 and solve for x.
40/x=2/3
2x=120
x=60
Final answer:
The student read [tex]\frac{2}{3}[/tex] of a book, equivalent to 40 pages. By setting up a proportion and solving for the total number of pages, it's determined that the book has 60 pages in total.
Explanation:
The student asked a question related to proportion which falls under the category of Mathematics. They read 40 pages, and this is [tex]\frac{2}{3}[/tex] of the book. To find out the total number of pages in the book, we set up a proportion.
Let the total number of pages in the book be x. According to the given information, [tex]\frac{2}{3}[/tex] of the book is 40 pages. Therefore, we can write this as a proportion:
[tex]\frac{2}{3} = \frac{40}{x}[/tex]
[tex]x = 40*\frac{3}{2}[/tex]
x = 60
The book has 60 pages.
-7x -7x=84 (I don't need step-by-step, I just need what X equals)
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Note the equal sign. What you do to one side, you do to the other.
First, combine like terms
-7x + -7x = -14x
-14x = 84
Isolate the x. Divide -14 from both sides
(-14x)/-14 = (84)/-14
x = 84/-14
Divide
x = -6
-6 is your answer for x
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~Rise Above the Ordinary, Senpai
The gcf of two numbers less than or equal to 12 is 2. Their LCM is 20.What are the numbers?
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We know:
[tex]LCM(a,\ b)=\dfrac{ab}{GCF(a,\ b)}[/tex]
We have
[tex]GCF(a,\ b)=2,\ LCM(a,\ b)=20,\ a\leq12,\ b\leq12[/tex]
Substitute:
[tex]20=\dfrac{ab}{2}\qquad|\cdot2\\\\ab=40[/tex]
[tex]40=1\cdot40=2\cdot20=4\cdot10=5\cdot8[/tex]
Only 4 and 10 meet the requirements of the question.
--------------------------------------------------------------------
40 and 1 NOT, because 40 > 12
20 and 2 NOT, because 20 > 12
5 and 8 NOT because GCF(5, 8) = 1
The numbers are 4 and 10 or 5 and 8.
Lowest common multiple :The relation is given as,
[tex]LCM*GCF=m*n[/tex]
Where m and n are two numbers.
Given that, [tex]GCF=2,LCM=20[/tex]
Substitute values in above relation.
[tex]m*n=2*20=40[/tex]
Since, both numbers less than or equal to 12.
We observed that,
[tex]4*10=40\\\\5*8=40\\[/tex]
The numbers are 4 and 10 or 5 and 8.
Learn more about greatest common factor here:
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What is the arc length if θ = 7 pi over 4 and the radius is 5?
Answers
The formula for arc length is:
s= r∅
Given that ∅= 7π/4
and r= 5
Therefore, arc length s= 7π/4 *5 = 35π/4
Answer: The required arc length will be 27.5 units.
Step-by-step explanation: We are given to find the arc length with the following information :
[tex]\theta=\dfrac{7\pi}{4},~~~\textup{radius},~r=5.[/tex]
We know that the length of an arc with angle subtended at the center α and radius of the circle r units is given by
[tex]\ell=r\alpha.[/tex]
Therefore, the required arc length will be
[tex]\ell=r\theta=5\times\dfrac{7\pi}{4}=\dfrac{35}{4}\times \dfrac{22}{7}=\dfrac{5\times 11}{2}=\dfrac{55}{2}=27.5.[/tex]
Thus, the required arc length will be 27.5 units.
Rachel works at a bookstore. On Tuesday, she sold twice as many books as she did on Monday. On Wednesday, she sold 6 fewer books than she did on Tuesday. During the three days Rachel sold 19 books. Create an equation that can be used to find m, the number of books Rachel sold on Monday.
Equation:
please write it in order like l Equation: l a0- l a1 = l a2
Answers
Lets put Monday as 'm'
Monday: m
Tuesday: 2m
Wednesday 2m-6
The Three Days: 5m-6
Final Answer: 5m-6=19
does it matter what interval you use when you find the rate of change of a proportional relationship? Explain.
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The interval you use when finding the rate of change of a proportional relationship does matter because the behavior of the relationship could vary within different intervals. To illustrate this, consider a proportional relationship where y is directly proportional to x. If we calculate the rate of change for different intervals, we might get different results. Therefore, it is important to specify the interval when finding the rate of change to accurately represent the behavior of the relationship within that interval.
Explanation:The interval you use when finding the rate of change of a proportional relationship does matter. The rate of change represents how a quantity changes with respect to another quantity. If you use different intervals, you may get different rates of change because the behavior of the relationship could vary within different intervals. Let me provide an example to illustrate this:
Suppose we have a proportional relationship where y is directly proportional to x:
y = kx
If we calculate the rate of change for different intervals, we might get different results. For example, if we consider the interval from x = 1 to x = 5, the rate of change would be (y2 - y1) / (x2 - x1) = (5k - k) / (5 - 1) = 4k / 4 = k. However, if we consider the interval from x = 3 to x = 7, the rate of change would be (y2 - y1) / (x2 - x1) = (7k - 3k) / (7 - 3) = 4k / 4 = k. In both cases, the rate of change is the same within each interval, but it may differ between intervals.
Therefore, it is important to specify the interval when finding the rate of change of a proportional relationship to accurately represent the behavior of the relationship within that interval.
Geometry! Click to see pictures
Answers
h means therere values are the same, and for b they are supplementary, so they equal 180 together, so the first it would be 5x-5=3x+5, and then you would solve and should get x=5, then for the other, 2x+4x+150=180,and you would solve it to get 6x=30,so x=5
The _____ of y=-5sin2x is 5
A. Amplitude
B. Period
C. Frequency
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hope this is right
Answer:
Amplitude
Step-by-step explanation:
I just had this question and got it right
You buy a book of five basketball tickets for $62.50 what is the rate of cost per ticket ?
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Divide $62.50 by 5, and your answer will be $12.50 per ticket.
The local community theater sold a total of 240 tickets for Saturday night’s performance. They sold 180 more full-price tickets than discount tickets. Which system of equations can be used to model this situation?
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d=discount tickets
f=full price tickets
d=f+180 (180 more full price tickets than discount tickets)
f+d=240
Answer:
b is the answer
Step-by-step explanation:
f + d = 240
f - d = 180
Please Help <3 Please Help <3
Answers
[tex]f(x)=\dfrac{x}{2}-3,\ g(x)=3x^2+x-6\\\\(f+g)(x)=f(x)+g(x)=\left(\dfrac{x}{2}-3\right)+(3x^2+x-6)=\dfrac{1}{2}x-3+3x^2+x-6\\\\=3x^2+1\dfrac{1}{2}x-9[/tex]
[tex]Answer:\ \boxed{B.\ 3x^2+\dfrac{3}{2}x-9}}[/tex]
-3(4r-8)=-36.
HELP!!! Don’t know the answer. Btw, 8th grade homework!! ;)
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Use distrubitive property to get rid of parentheses. Multiply -3 by 4r and -8 to get -12r+24=36. Then zero out 24 by subtarcting 24 from both sides. You. should then have -12r=12. Divide by -12 on both sides to get r by itself. Your answer should be r=1*. Hope this helps :)
If 3n-5n-24=8, then n =
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the answer is -16 sooooo brainliest plzz
Triangle QRS is a right triangle. Complete the similarity statement. ΔSTR ~ Δ
TQR
RST
SQR
RTQ
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Answer:
ΔSTR is similar to ΔRTQ
Step-by-step explanation:
Given QRS is a right angled triangle. we have to find the similarity statement ΔSTR ~ Δ__
Let ∠S=x
In ΔSTR, by angle sum property
∠S+∠STR+∠SRT=180°
⇒ ∠SRT=90°-x
In ΔSRQ, by angle sum property
∠S+∠R+∠Q=180°
⇒ ∠Q=90°-x
In ΔSTR and ΔRTQ
∠SRT=∠Q=90°-x (proved above)
∠STR=∠RTQ (each 90°)
RT=RT (common)
Hence, by AAS rule ΔSTR≅ΔRTQ
∴ ΔSTR is similar to ΔRTQ
Option 4 is correct.
Answer:
RTQ
Step-by-step explanation:
Let ∠S=a, In ΔSTR, using angle sum property, we have
∠S+∠STR+∠SRT=180°
⇒ ∠SRT=90°-a
Again In ΔSRQ, using angle sum property, we have
∠S+∠R+∠Q=180°
⇒ ∠Q=90°-a
Now, In ΔSTR and ΔRTQ
∠SRT=∠Q=90°-a (proved above)
∠STR=∠RTQ (each 90°)
RT=RT (common)
Hence, by AAS rule,
ΔSTR≅ΔRTQ
Thus, ΔSTR is similar to ΔRTQ
Option 4 is correct.
Sara needs 48 apples. There are 10 apples in each box. How many boxes should Sara buy?
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She should buy 5 boxes because if she bought 4 then she would have 8 without a box
help me plz I need them they're so in 20 min.
Answers
1. 0.48
2.8.48
3.124
4.29
5.530
6.1056
I one day, 18 people each withdrew $100 from an ATM machine. What was the overall change in the amount of money in the ATM machine?
Answers
Since 18 people withdrew 100 dollars each, that would be 18 multiply by 100 which is 1800
What is a monomial????
Answers
A monomial is a polynomial which has only one term. For example, the polynomial [tex]5x+2y^{2}[/tex], has two terms: [tex]5x[/tex] and [tex]2y^{2}[/tex]. The combination of these two terms would be classified as a binomial. However, each individual term is classified as a monomial.
4 movie tickets cost $48. At this rate with is the cost of 5 movie tickets
Answers
$12 per ticket divide 48 and 4 then if u want multipy 4x12=48
We are required to find the cost of 5 movie tickets
The Cost of 5 movie tickets is $60
Given:
Cost of 4 movie tickets = $48
Cost of each movie tickets = Cost of 4 movie tickets ÷ 4
= $48 ÷ 4
= $12
So,
Cost of 5 movie tickets = Cost of each movie tickets × 5
= $12 × 5
= $60
Therefore, the Cost of 5 movie tickets is $60
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The equation x^2/24^2 - y^2/ (blank)^2= 1 represents a hyperbola centered at the origin with a directrix of x = 576/26.
The positive value (of what) correctly fills in the blank in the equation.
Answers
Answer: A. 10
Step-by-step explanation:
because its the right answer
The equation of a hyperbola is x^2/24^2 - y^2/ (10)^2= 1.
We have given that, The equation x^2/24^2 - y^2/ (b)^2= 1 represents a hyperbola centered at the origin with a directrix of x = 576/26.
We have to find the value of b.
What is the general formula for hyperbola?[tex]\frac{(x-h)^2}{a^2} -\frac{(y-k)^2}{b^2} =1[/tex]
We have given that,
[tex]x^2/24^2 - y^2/ (b)^2= 1 \implies \frac{(x-0)^2}{24} -\frac{(y-0)^2}{b^2} =1[/tex]
a=24,h=0 and k=0
Now equation of the directrix
x=a^2/c...(1)
and we know x=576/26...(2)
Therefore from 1 and 2 we get
24^2/c=576/26.
isolate the c so we get,
C=26
C= center of focii
[tex]c=\sqrt{a^2+b^2} \\c^2=a^2+b^2\\b^2=c^2-a^2\\b=10[/tex]
So we get the value of b is 10.
Therefore the equation of a hyperbola is x^2/24^2 - y^2/ (10)^2= 1.
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one movie club charges a $100 membership fee and a $10 for each movie . Another club charges no membership fee but movies cost $15 . Write and solve an equation to find the number of movies you need to buy for the cost of each movke club to be the same .
Answers
100 + 10m = 15m
5m = 100
m=20 movies
20 is the amount of movies to make it cost the same.
To find the number of movies at which the cost of both movie clubs would be the same, you set the cost equations for both clubs equal to each other and solve for the number of movies, m. The result is m=20.
Explanation:The subject here is essentially figuring out where the total cost of each movie club is equal. In this case, we can define two equations representing the total costs of each movie club. For the first club, which charges a $100 membership fee and $10 per movie, that equation is C1 = 100 + 10m . For the second club, which charges no membership fee but $15 per movie, the equation is C2 = 15m. Setting these two equations equal to each other gives us 100 + 10m = 15m. Solving for m (the number of movies) we subtract 10m from both sides to get 100 = 5m, then divide both sides by 5, to find that m = 20.
Therefore, if you plan to buy 20 or more movies in a year, the first club would be more cost effective. If you plan to buy less than 20 movies, the second club would be the better option.
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sam read 75 pages of a new mystery novel in 2 hrs. if the book contains 350 pages and he always reads the same rate, how long will it take him to read the entire novel
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work out the volume of a cuboid 17 cm long, 4cm wide and 15 cm high. what is the volume?
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the answer to your question is...
1020equivalent ratio of 64:60
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An equivalent ratio of 64:60 is 16:15.
To get an equivalent ratio, you are going to simplify it like you would a fraction. An equivalent ratio would be 32:30. Then, just keep dividing both sides by the same number until both sides can't be divided by the same number. i.e. 9:6 -> 3:2 Both sides were divided by three.