The numbers of new CDs is 30 and the old CDs is 21.
To solve this problem, we have to write a system of equations in which we would know the numbers of each types of CD she bought.
System of EquationsThis is used to solve a series or complex of word problems in which we can represent in a mathematical statements;
Let n represents numbers of new CDsLet u represents numbers of old CDsThe equations can be represented as
[tex]n + u = 51 ...equation(i)\\15n + 6u = 576 ... equation(ii)[/tex]
Let's take equation (i)
Making n the subject of formula
[tex]n + u = 51\\n = 51 - u...equation(iii)[/tex]
we can put equation (iii) into equation (ii)
[tex]15n + 6u =576\\n = 51 - u\\15(51 - u) + 6u = 576\\765-15u + 6u = 576\\collect like terms\\765-576=15u - 6u\\189=9u\\9u/9 = 189/9\\u = 21[/tex]
Let's put the value of u into equation (i)
[tex]n + u = 51\\u = 21\\n + 21 = 51\\n = 51 - 21\\n = 30[/tex]
From the calculations above, the numbers of new CDs is 30 and the old CDs is 21.
Learn more on system of equations here;
https://brainly.com/question/13729904
Find the equation of the following exponential, using the form a(b)^x
I keep getting this wrong because I don't know what points to use for the equation
Check the picture below.
[tex]f(x)=ab^x \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{we know that}}{x=0\qquad f(x)=-1}\qquad -1=ab^0\implies -1=a(1) \\\\\\ -1=a ~\hfill \underline{f(x)=-1b^x} \\\\\\ \stackrel{\textit{we also know that}}{x=1\qquad f(x)=-4}\qquad -4=-1b^1\implies \cfrac{-4}{-1}=b^1 \\\\\\ 4=b ~\hfill \underline{f(x)=-4^x}[/tex]
Simplify
21x^6y^4/14x^2y9
Answer:
3x^4/2y^4
Step-by-step explanation:
Just simplify it and you can get the answer
[tex]\orange{\bigstar\underline{\underline {\pmb{\frak{ \purple{Required~Answer}}}}}}[/tex]
[tex] \leadsto \tt \dfrac{21 {x}^{6} {y}^{5} }{14 {x}^{2} {y}^{9} } [/tex]
[tex] \\ \\ [/tex]
[tex] \leadsto \tt \dfrac{21 {x}^{6 - 2} {y}^{5} }{14 {x}^{0} {y}^{9} } [/tex]
[tex] \\ \\ [/tex]
[tex] \leadsto \tt \dfrac{21 {x}^{4} {y}^{5} }{14 {y}^{9} } [/tex]
[tex] \\ \\ [/tex]
[tex] \leadsto \tt \dfrac{21 {x}^{4} {y}^{0} }{14 {y}^{9 - 5} } [/tex]
[tex] \\ \\ [/tex]
[tex] \leadsto \tt \dfrac{21 {x}^{4} }{14 {y}^{4} } [/tex]
[tex] \\ \\ [/tex]
[tex] \leadsto \tt \dfrac{3{x}^{4} }{2 {y}^{4} } [/tex]
Is 2/9 greater than 5/9 explain
Answer:
No
Step-by-step explanation:
Because 2/9 is 22 5/9=55
In decimals 2/9=0.222 and 5/9=0.555 so does that help
Have a great day :}
Help please im struggling.
Answer:
D. 2,2
Step-by-step explanation:
The midpoint just means the point in the middle of the line, and if you count inwards from each of the points, you'll find that D is the midpoint.
Answer:
A
Step-by-step explanation:
from the top one (Point A), to the bottom one (Point B) you go down 12 and to the right 8.
the area of the rectangle shown is 66m^2
width = 4 2/5
length = x
work out the missing length x
Answer:
143cm
Step-by-step explanation:
Area=2(l+b)
Substitute the values for the variables.
66=2(l+22/5)
66=2xl+2x22
5
66=2l+44
5
Cross multiply
66x5=2l+44
330=2l+44
Collect like terms
-2l = 44-330
-2l = -286
-2l = -286
-2 -2
l=143
The missing length is 143m.
PLEASE HELP!! with solution needed!!
Answer:
[tex]x = 15 \\ [/tex]Step-by-step explanation:
[tex] \frac{2x - 12}{3} = \frac{2x}{5} \\ 5(2x - 12) = 3(2x) \\ 10x - 60 = 6x \\ 10x - 6x = 60 \\ 4x = 60 \\ \frac{4x}{4} = \frac{60}{4} \\ x = 15 \\[/tex]
I really need help with this I don’t have much time
Answer:
The answer is 5 because you will have to subtract 12 from 112 to get 100 and then divide 100 by 20 to get the answer 5.
Find the real zeros of r(z)=4z−z3
Answer:
Step-by-step explanation:
r(z)=z
so the real zero is when z = 0
did you mean 4z^2?
please help will mark brainliest
Answer: 5a+6b over 3
Please can someone explain and help me I am giving away 14 points the question is in the image
Answer:
The area is 67.36 cm squared
Step-by-step explanation:
The height is 8.982. The base is 15. 8.982 * 15 = 134.73 / 2 = 67.36
pls i need help with ratios
Answer:
People to tables: 5:1
Tables to people: 1:5
Step-by-step explanation:
Somebody please help me out !! (Theres a photo attached)
Answer: many solutions
Ok done. Thank to me :>
Match equivalent expressions. Numbers and letters go together
A. (x +9)(x+2)
B. (x-2)(x-3)
C. (x + 2)(x+3)
D. (x-2)(x+3)
E. (X-9)(x+2)
F. (x-9)(x-2)
1. x²+x-6
X
2. x2 +11x +18
3. x2 - 7x -18
4. x2-5x +6
5. x2 - 11x +18
6. x2 + 5x + 6
Answer:
(a) (x+9) (x+2)
(b)(x-2) (x-3)
(c) (x+2) (x+3)
(f) (x-9) (x-2)
(2) x2+11x+18
(3) x2-7x - 18
(6) x2+5x+6
Step-by-step explanation:
And so another math question appears, wooooo,,
Please help me :"D
Answer:
LV = OE =34
Step-by-step explanation:
Due to the rectangle theory,
LV = OE
3x + 10 = 5x-6
-2x = - 16
x = 8
LV = 3(8) +10 = 34
OE= 5(8)-6 = 34
help me with angle sum theorem please what is y
Answer:
y = 140
Step-by-step explanation:
All angles inside the triangle will equal 180
Set your formula up as
180 = x + 120 + 20
180 - 120 - 20 = x
40 = x
y+x will also equal 180, therefore
180 = y + x
180 = y + 40
180 - 40 = y
140 = y
The product of 8 and the difference of n and 3
8(n-3)
simpilify
8n-24
Jake has 3 more than twice the number of marbles that Kylie has. Let m represent the number of marbles Kylie has.
The expression ____represents the number of marbles Jake has.
Answer:
2m + 3
Step-by-step explanation:
Jake has 3 more than twice the number of marbles that Kylie has. Let m represent the number of marbles Kylie has.
3 + twice of Kylie's marbles = twice of Kylie's marbles + 3
The amount of marbles kylie has is represented with m, making it (2 x m) + 3 = 2m + 3.
A cell phone company conducted a survey to determine if customers were satisfied with their cell phone service. The survey sample consisted of all customers who had contacted the company within the past year and who agreed to participate. Of the 420 customers surveyed, 65% reported that they were not satisfied with their service.
Which statement about this sample is true?
A Exactly 65% of all customers are not satisfied with the cell phone service.
B The sample includes all customers who made complaints to the company within the last year, and therefore is representative of the population. ,
C The sample might not be representative of the population because, in general, satisfied customers have no reason to contact the company.
D No generalizations can be made from this sample because the sample size is too small.
The statement that is true about the given sample is that;
B. The sample includes all customers who made complaints to the company within the last year, and therefore is representative of the population. ,
Sample Statistics Interpretation
We are given;
Sample size; n = 420
Sample proportion; p^ = 65%
Now, from the sample size and proportion, we can say that;
Exactly 65% of the surveyed customers were not satisfied with the cell phone service. Now, this only represents those surveyed and not the entire population. Thus it is not exactly 65% of all customers that are not satisfied with the cell phone service.
Option B is correct because the 420 customers surveyed is a sample from the population of all their customers within the last year.
Read more about sample statistics at; https://brainly.com/question/7301139
Answer:the answer is b
Step-by-step explanation:
If you read the problem you would know
i need help really bad im slow
Answer:
Always try to isolate the variable by doing the INVERSE operation of the given.
so x-5=6
So its -5
You add 5 since its the inverse of it.
So add 5 to both sides or (c)
Answer:
C.) Add 5 to both sides.
Step-by-step explanation:
x - 5 = 6
Add five to both sides.
x - 5 = 6
+ 5 + 5
-5 and +5 cancel out. 6 + 5 is 11.
x = 11
Hope this helped!
(P.S: You're not slow! Everyone works at different paces! You're doing awesome!)
The area of a rectangle is (x4 4x3 3x2 – 4x – 4), and the length of the rectangle is (x3 5x2 8x 4). If area = length × width, what is the width of the rectangle?.
The width of the rectangle, for which area and length provided in polynomial equation form is,
[tex](x^43x^3+8x^2+4x)[/tex]
What is the area of a rectangle?Area of a rectangle is the product of the length of the rectangle and the width of the rectangle. It can be given as,
[tex]A=a\times b[/tex]
Here, (a)is the length of rectangle and (b) is the width of the rectangle
The area of the given rectangle is,
[tex]A=(x^4 +4x^3 +3x^2 - 4x - 4),[/tex]
The length of the given rectangle is,
[tex]L=x^3+ 5x^2 +8x+ 4).[/tex]
As, the area of a rectangle is the product of the length and the width of the rectangle. Let suppose the width of the rectangle is f(x). Therefore,
[tex](x^4 +4x^3 +3x^2 - 4x - 4)=(x^3+ 5x^2 +8x+ 4)\times f(x)[/tex]
Solve it further as,
[tex]f(x)=(x^4 +4x^3 +3x^2 - 4x - 4)-(x^3+ 5x^2 +8x+ 4) \\f(x)=(x^4 +4x^3 +3x^2 - 4x - 4-x^3+ 5x^2 +8x+ 4[/tex]
Separate the like terms with same power of variable as,
[tex]f(x)=x^4 +4x^3-x^3 +3x^2 + 5x^2- 4x +8x- 4 + 4\\f(x)=x^43x^3+8x^2+4x[/tex]
Hence, the width of the rectangle, for which area and length provided in polynomial equation form is,
[tex](x^43x^3+8x^2+4x)[/tex]
Learn more about the area of rectangle here;
https://brainly.com/question/11202023
1-Find the missing number:
8(7+23)=8(7)+8(?)
2- ?(4-2)=3(4)-3(2)
3- 6(x + 5)
4- -3(4 +x)
————————————————
Use distributive property to rewrite the expression
5- -8(7x - 2)
6- (-9+8x)10
7- 9(-2x+5y - 3)
8- -6(-x-4y+7)
———————————————-
9- expand the expression
-1/3 (2w-3x +3)
10- expand the expression
Y(-1.2w. + 3)
Can you help me with this please? because I am confused
Answer:
Make a line a bit close to -1
Step-by-step explanation:
-2 3/4 can be re-written as -2.75 therefore you have to mark close to the number -1
Use the function: g(x) = (x + 2)(x - 1)(x - 2) a) Find the zeros of the function. b) Find the y-intercept of the function.
Answer:
The zeros are -2, 1, and 2
Step-by-step explanation:
You have to set each individual equation equal to zero.
ex: (x+2) x+2=0 move the number to the right hand side to get x alone x=-2
as for the y intercept I don't know
Answer:
see explanation
Step-by-step explanation:
g(x) = (x + 2)(x - 1)(x - 2)
To find the zeros let g(x) = 0 , then
(x + 2)(x - 1)(x - 2) = 0
Equate each factor to zero and solve for x
x + 2 = 0 ⇒ x = - 2
x - 1 = 0 ⇒ x = 1
x - 2 = 0 ⇒ x = 2
The zeros are x = - 2, x = 1, x = 2
To find the y- intercept substitute x = 0 into g(x)
g(0) = (0 + 2)(0 - 1)(0 - 2) = 2(- 1)(- 2) = 2 × 2 = 4
The y- intercept is 4 or (0, 4 )
Determine the equation of the circle graphed below.
Please help, thanks
Answer:
If you are finding the equation using two points then the answer is
y = −2 x + 1
If this does not help, just ignore honestly.
Evaluate the following expression 1/5^-2
a) 25
b) 1/25
c) -25
d) -1/25
Answer:
i think its 25!!! not completely sure tho
Help me solve this problem
Answer:
The length of the missing leg is six
Step-by-step explanation:
Assuming that this is a right triangle, you can use the Pythagoras theorem
12^2+x^2=sqrt180^2
144+x^2=180
x^2=36
x=6
Therefore, the length of the missing leg is six.
Answer:
Taking the above as a right angled triangle...
Pythagoras' rule can be applied to get the Missing side.
It goes...
Hyp² = Opp² + Adj²
Which translates to Hypotenuse, Opposite and Adjacent respectively.
Hyp = √180
Opp= 12
So we're missing Adj
Making adj the subject.
Adj = √ Hyp² – Opp²
= √[(√180)² – (12)²
= √ [ 180 – 144]
= √36
Adj = 6ft.
Find the missing sides
Use the image below
Answer:
[tex]x =3 \\ \\ y = \frac{3 \sqrt{2} }{2} [/tex]
Step-by-step explanation:
[tex] \tan(45) = \frac{y}{ \frac{3 \sqrt{2} }{2} } \\ \\ 1 = \frac{y}{ \frac{3 \sqrt{2} }{2} } \\ \\ y = \frac{3 \sqrt{2} }{2} [/tex]
[tex] \cos(45) = \frac{ \frac{3 \sqrt{2} }{2} }{x} \\ \\ \frac{1}{ \sqrt{2} } = \frac{ \frac{3 \sqrt{2} }{2} }{x} \\ \\ \\ x = \sqrt{2} \times \frac{3 \sqrt{2} }{2} \\ \\ x = \frac{3(2)}{2} \\ \\ \\ x = 3[/tex]
The theater group sold adult and student tickets for the play. They sold a total of 560 tickets. Each adult ticket was $8 and each student ticket was $3.50. The group took in a total of $3166. How many of each type of ticket was sold for the play?
Answer:
268 adult and 292 student tickets sold
Step-by-step explanation:
a = number adult tickets sold
s = number student tickets sold
a + s = 560
8a + 3.50s = 3166
a = 268 adult tickets
s = 292 student tickets
determine the equation of f(x)=x²-4 when shifted 2 units to the left
Steve manages a skate park and he has been analyzing the attendance data. Steve finds that the number of visitors increases exponentially as the temperature increases, and this situation is represented by the function f(x) = 5x. Steve also finds a linear equation that models the number of people who leave the park early depending on the change in temperature, and it is represented by g(x) = −x 6. The graph of the two functions is below. Find the solution to the two functions and explain what the solution represents.
Answer:
See the Analysis
Step-by-step explanation:
Solution: From the problem
[tex]\left \{ {{f(x)=5^{x} } \atop {g(x)=-x+6}} \right.[/tex]
From 1 and 2
[tex]5^{x}=-x+6\\ x=1, y=5[/tex]
It means that the temperature is leaving as many people as it is increasing.