Step-by-step explanation:
25.
[tex] \frac{t}{5} = b[/tex]
where b is the no. if 5 dollar bills.
26.
[tex]x +( x + 2) +( x + 4) = x + (x + 2)[/tex]
[tex]3x + 6 + 9 = 2x + 2[/tex]
[tex]3x + 15 = 2x + 2[/tex]
[tex]x + 15 = 2[/tex]
[tex]x = - 13[/tex]
Since x=-13 the intergers are
[tex] - 13[/tex]
[tex] - 11[/tex]
[tex] - 9[/tex]
27.
Represent the function as
[tex]x + x + 6 = 44[/tex]
[tex]2x + 6 = 44[/tex]
[tex]2x = 38[/tex]
[tex]x = 19[/tex]
The shorter piece should be 19 inches.
28.
Solve for h.
[tex]s = 2\pi \times rh + 2\pi {r}^{2} [/tex]
[tex]s - 2\pi {r}^{2} = 2\pi \times rh[/tex]
[tex] \frac{s - 2\pi {r}^{2} }{2\pi \times r} = h[/tex]
29.
[tex] \frac{16 + x}{2} \times 6 = 108[/tex]
[tex] \frac{16 + x}{2} = 18[/tex]
[tex]16 + x = 36[/tex]
[tex]x = 20[/tex]
Adya and Ashley complete a work separately in 20 and 25 days respectively. After 10 days of their working together, they both left then Amber came and completed the remaining work in 3 days. If Amber alone would do the work, calculate how many days he would take to complete the work.?
[tex]\huge\boxed{\boxed{\underline{\textsf{\textbf{Answer}}}}}[/tex]
Number of days Adya took to complete the work = 20
Work done by Adya in 1 day = [tex]\frac{1}{20}[/tex]
Number of days Ashley took to complete the work = 25
Work done by Ashley in 1 day = [tex]\frac{1}{25}[/tex]
So,
Total work by Adya & Ashley in 1 day =
[tex] \frac{1}{20} + \frac{1}{20} \\ = \frac{5 + 4}{100} \\ = \frac{9}{100} [/tex]
•°• Their total work in 10 days =
[tex] \frac{9 \times 10}{100} \\ = \frac{90}{100} \\ = \frac{9}{10} [/tex]
Now,
The work left to be completed =
[tex]1 - \frac{9}{10} \\ = \frac{10}{10} - \frac{9}{10} \\ = \frac{1}{10} [/tex]
From this we know that,
Amber completes [tex]\frac{1}{10}[/tex] of the work in 3 days.
So,
Time taken by Amber to complete the whole work =
[tex]3 \times 10 \\ = 30 \: \: days[/tex]
↦ If Amber alone would do the whole work, he would take [tex]\boxed{30 \ \ days}[/tex] to complete it.
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ ツ
꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐
3 Nine children share out cqually the chocolates in a large tin and it
cight cach. If there were only six children, how many would each get
Find the highest common factor (HCF) for 36, 84 and 108
Answer:
Check your question one time
For f(x) = 6x + 20, what is the value of x for which f(x)= -4 ?
Answer:
x = -4
Step-by-step explanation:
Plug in -4 into the function and solve for x:
f(x) = 6x + 20
-4 = 6x + 20
-24 = 6x
-4 = x
So, the answer is x = -4
I need some one to help me!!
Is (7, 0) a solution to the equation y = x − 7?
Answer:
Yes
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightCoordinates (x, y)
Step-by-step explanation:
Step 1: Define
Identify
Point (7, 0)
Equation y = x - 7
Step 2: Find
Substitute in point [Equation]: 0 = 7 - 7Subtract: 0 = 0Since 0 = 0 is true, then it would be a solution to the equation.
if the parent function is y=3^x, which is the function of the graph?
1) y=3^(x-4)-2
2) y=3^(x+4)+2
3) y=3^(x-4)+2
4) y=3^(x+4)-2
A company is selling specialty ice cream. Their profit is modeled by the equation p(x) = x2 + 3, where x represents the number of cartons sold. Their cost to make the carton is represented by c(x) = -3x + 24, where x represents the number of cartons produced.
A. What does it mean to find the solution to this system?
B. What is the solution to the system? How did you find the solution?
C. What does the solution mean in context of the problem?
D. How do you solve this system when x does not stand for the same thing? What system are you referring to?
Answer:
The given function for the profit of the company is p(x) = x² + 3
The function for the cos of the company, c(x) = -3·x + 24
Where;
x = The number of cartons sold
A. To find the solution of the system means to find the number of cartons sold at which the profit and cost are equal
B. The solution of the system can be found by equating both functions as follows;
p(x) = c(x)
Therefore;
x² + 3 = -3·x + 24
∴ x² + 3 + 3·x - 24 = 0
x² + 3·x - 21 = 0
x = (-3 ± √(3² - 4×1×(-21)))/(2 × 1)
∴ x = (-3 ± √(93))/2
x = (-3 + √(93))/2 ≈ 3.32 or x = (-3 - √(93))/2 ≈ -6.32
Therefore, the possible solution is x = (-3 + √(93))/2 ≈ 3.32
C. The solution means that when the company sells about 3 cartons of specialty ice, the cost to make the carton and the profit from selling the cartons will be approximately equal
D. Part 1
To solve the system, we rewrite the functions using common variables, to obtain a consistent system of equations
Part 2 Inconsistent system of equations
When x does not stand for the same thing in both equations, we have an inconsistent system of equations and there are no solutions
Step-by-step explanation:
IM AM SO CONFUSED
Find the solution set.
8x2 - 2x – 1=0
Separate the two values with a comma.
Hello,
Answer (1/2,-1/4)
[tex]8x^2-2x-1=0\\\\8x^2-4x+2x-1=0\\\\4x(2x-1)+2x-1=0\\\\(2x-1)(4x+1)=0\\\\sol=\{\dfrac{1}{2} ,-\dfrac{1}{4} \}\\[/tex]
Juan compró un led TV en cuotas que costó $ 76.000=. Si le falta pagar 3 cuotas y ya pagó $ 47.000, ¿Cuál es el valor de cada cuota fija?
Respuesta:
$ 9666. 67
Explicación paso a paso:
Costo de TV = $ 76,000
Número de cuotas = 3
Monto ya pagado = $ 47000
Amontof cada cuota fija = Cantidad que queda por pagar / 3
Cantidad que queda por pagar = Costo de TV - Cantidad ya pagada
Cantidad que queda por pagar = $ (76000 - 47000) = $ 29000
Monto de cada cuota fija = $ 29000/3 = $ 9666. 67
PLEASE PLEASE HELP ILL GIVE BRAINLY
Answer:
In this case, we can do substitution.
Step-by-step explanation:
For the first one, (s - t)(x) = ((x - 5) - 4x^2)(x) = x^2 - 21x
For the second one, (s*t)(x) = ((x - 5) *4x^2)(x) = 4x^4 - 20x^3
And for the last one, (s+t)(-2) = ((x - 5) + 4x^2)(-2) = -8x^2 - 2x + 10
Hope your happy with the answer :)
Which equation could be used to solve for the value of n if n + 2 = 6?
O2 + 6 = n
O 2-6 =n
O 6 +2=n
06-2=n
d
Step-by-step explanation:
6-2=n will be used because when 2 goes to other side then positive sign turns to negative sign
What is the result of converting 60 ounces to punds remember there are 16 ounces in a pound pleasdnsjjsjs
Answer:
A. 3.75 pounds
Step-by-step explanation:
16 ounces = 1 pound
converting 60 ounces to pounds
Let x = number of pounds
60 ounces = x pounds
Find the proportion
16 / 1 = 60 / x
Cross product
16 * x = 1 * 60
16x = 60
Divide both sides by 16
x = 60/16
x = 3.75
Therefore,
60 ounces = 3.75 pounds
One number is 9 times another. Their product is 27 times their sum. Find the numbers.
the answer is not 3 btw
Answer:
270 & 30
Step-by-step explanation:
let the number is n,
the equation :
n× 1/9 n= 27(n +1/9 n)
1/9 n² = 27n + 3n
1/9 n² = 30n
1/9n²- 30n = 0
n(1/9n -30)= 0
n = 0 or
1/9n = 30 => n = 30×9 = 270
270 is a number,
the other : 270/9 = 30
Will mark brainlest help me please
Answer:
no le entiendo por qué estás en inglés(06.01)Four graphs are shown below: Which graph represents a negative linear association between x and y?
Answer:
Step-by-step explanation:
A negative linear association between x and y means that as x increases, y decreases at the same rate, creating a line with a negative slope. This line will tend from upper left to lower right. 2 of those graphs tend from upper left to lower right, but only one of them is a linear representation. That is graph D.
Three less than 3 times a number, n, is
19 more than twice the number. What
is the number?
А
17
B
19
21
D 22
The equation is:
3n - 3 = 2n + 19
=> 3n - 2n = 19 + 3
=> n = 22
So, the answer is 22.
The table shows information about water used in a household.
The value for April is missing.
The mean monthly water used for the six months is 18 m
Work out the value for April.
Answer:
is there is no value of April
Step-by-step explanation:
so the value of the month April is zero
Can someone help me with this math homework please!
うsじょうぉじょあそlざ
ありおdごうおの
Answer:
First drop box: 40x + 18(x - 3) = 468
Second drop box: $6
Step-by-step explanation:
Explanation in progress! Enjoy your answer first then come back for the explanation once you've done it (●'◡'●)
PLEASE HELP.
if v1….
The cost of having a window fixed is $175 plus $30 per hour of labor. Using h for the number of hours of labor, write an expression that represents the total cost.
Answer:
175 + 30h
Step-by-step explanation:
Hope this helps
Answer:
total cost = 175+30h
Step-by-step explanation:
Total cost = fixed cost + cost per hour * hours
total cost = 175+30h where h is the number of hours
somebody help me please
Answer:
x=-4
Step-by-step explanation:
:Distribute 2 to 9.7 and -4.8x
3.4+19.4-9.6x=61.2
:combine 3.4 and 19.4
22.8-9.6x=61.2
: subtract 22.8 from both sides
-9.6x=61.2-22.8
:divide both sides by -9.6
-9.6x/-9.6=38.4/-9.6
x=-4
Solve the equation: (1 - 2x)(1 - 3x)=(6x - 1)x - 1
Answer:
x=0.5 or 1/2
Step-by-step explanation:
¿cual es el porcentaje de ganancia de un comerciante que vende a $4600 un producto que compró a $4000?(con desarrollo)
Respuesta:
15%
Explicación paso a paso:
Dado :
Precio de compra = $ 4000
Precio de venta = $ 4600
El beneficio obtenido por la venta del artículo:
Precio de venta - precio de compra
$ (4600-4000) = $ 600
El porcentaje de beneficio obtenido:
Beneficio / precio de compra * 100%
600/4000 * 100%
600/4000 * 100%
0,15 * 100%
= 15%
Please help. I am really stuck on this little problem. I need to find the domain and Range for this graph.
Answer:
This isn't the answer but if you can take a pic of this and put it in this app called "Math-way" or "Photo-math" those help me
Select the correct answer from each drop-down menu.
The equation of a line is 3/5x+1/3y=1/15
The x-intercept of the line is
and its y-intercept is
Answer:x intercept is where the line is crossing the x axis or where y=0
y intercept is where the line crosses the y axis or where x=0
to find them, set other ting to zero
3/5x+1/3y=1/15
xintercept, set y=0
3/5x+1/3(0)=1/15
3/5x+0=1/15
3/5x=1/15
times 5/3 both sides
x=1/9
xintercept is x=1/9
yintercet
set x=0
3/5(0)+1/3y=1/15
0+1/3y=1/15
1/3y=1/15
times 3/1 both sides
y=1/5
yintercept is y=1/5
xint is x=1/9
yint is y=1/5
Step-by-step explanation:
The equation of line is ( 3/5 )x+ ( 1/3)y = ( 1/15 ) , where x-intercept of the line is ( 1/9 , 0 ) and the y-intercept of the line is ( 0 , 1/5 )
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
( 3/5 )x+ ( 1/3)y = ( 1/15 )
To find the x-intercept of the line, we set y = 0 and solve for x:
3/5x + 1/3(0) = 1/15
3/5x = 1/15
x = (1/15) ÷ (3/5) = 1/9
So the x-intercept of the line is (1/9, 0)
To find the y-intercept of the line, we set x = 0 and solve for y:
3/5(0) + 1/3y = 1/15
1/3y = 1/15
y = (1/15) ÷ (1/3) = 1/5
So the y-intercept of the line is (0, 1/5)
Hence , the equation of line is solved
To learn more about equation of line click :
https://brainly.com/question/14200719
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Write the equation for a parabola with a focus at (6,-4) and a directrix at y= -7
Given:
The focus of the parabola is at (6,-4).
Directrix at y=-7.
To find:
The equation of the parabola.
Solution:
The general equation of a parabola is:
[tex]y=\dfrac{1}{4p}(x-h)^2+k[/tex] ...(i)
Where, (h,k) is vertex, (h,k+p) is the focus and y=k-p is the directrix.
The focus of the parabola is at (6,-4).
[tex](h,k+p)=(6,-4)[/tex]
On comparing both sides, we get
[tex]h=6[/tex]
[tex]k+p=-4[/tex] ...(ii)
Directrix at y=-7. So,
[tex]k-p=-7[/tex] ...(iii)
Adding (ii) and (iii), we get
[tex]2k=-11[/tex]
[tex]k=\dfrac{-11}{2}[/tex]
[tex]k=-5.5[/tex]
Putting [tex]k=-5.5[/tex] in (ii), we get
[tex]-5.5+p=-4[/tex]
[tex]p=-4+5.5[/tex]
[tex]p=1.5[/tex]
Putting [tex]h=6, k=-5.5,p=1.5[/tex] in (i), we get
[tex]y=\dfrac{1}{4(1.5)}(x-6)^2+(-5.5)[/tex]
[tex]y=\dfrac{1}{6}(x-6)^2-5.5[/tex]
Therefore, the equation of the parabola is [tex]y=\dfrac{1}{6}(x-6)^2-5.5[/tex].
Review your answers to Question 4. What happens to the coordinates of a shape when the shape reflects about the line y = x? Explain.
Answer:
The x and y coordinates swap position
Step-by-step explanation:
Given
Reflection across: [tex]y = x[/tex]
Required
What happens to the coordinate
When a point is reflected about [tex]y = x[/tex], the x and y coordinates swap position
i.e.
[tex](x,y) \to (y,x)[/tex]
Answer:
When the shape reflects about the line y = x, the x-coordinate and the y-coordinate of each point are swapped.
Step-by-step explanation:
write
25 x 10^6
in standard form
Answer:
2.5 * 10⁷
Step-by-step explanation:
25 * 10⁶ 2.5 * 10 * 10⁶2.5 * 10⁷Answer:
25,000,000
Step-by-step explanation:
How do angles inside a polygon affect the sides of the polygon?
Hello,
Let 's n the number of sides,
R the radius of the circonscrit circle,
c the side of the polygon (c like côté)
Angle in the center is 360/n and its half is 180/n
(c/2)/R=sin(180/n)
Inside angles are (180-360/n)/2 = 90-180/n (°)
40 points if helped question is in the picture
Answer:
15 9 3
Step-by-step explanation:
15 9 3
sorry i guessed on this one
but it does work
when they said 3 in the first sentence i helped me guess
Answer:
first term = 15
second term = 9
Third term = 3
Step-by-step explanation:
Let the first term be 3x
Let the second term be = 3x - 6 [ 6 less than first term]
Let the third term be = 1/5 of 3x
[tex]=\frac{1}{5} \times 3x\\\\=\frac{3}{5}x[/tex]
Difference between first and third term = 12
That is ,
[tex]3x - \frac{3}{5}x = 12\\\\\frac{(3x \times 5) - 3x }{5} = 12\\\\15x - 3x = 12 \times 5\\\\12x = 60\\\\x = \frac{60}{12} = 5\\\\Therefore , \ first \ term = 3x = 3 \times 5 = 15\\\\second \term = 3x - 6 = 3( 5) - 6 = 15 - 6 = 9\\\\Third \ term = \frac{1}{5} \times 3x = \frac{1}{5} \times (3 \times 5) = 3[/tex]