Answer:
A. Amount(hours worked)
Step-by-step explanation:
Function notation is a way of converting a written description of a function to a concise form that is easy to read.
It is another way of representing the y-value in a function, y = ƒ(something)
Let's convert the word expression to function notation:
"The amount charged for labour depends on the time the repair technician works." "The amount depends on the hours worked." "The amount is a function of the hours worked." Amount = amount(hours worked) y = a(h)
When 4 is divided by (x+7),the result is the same as when 3 is divided by(x+4),find the value of x
Answer:
5
Step-by-step explanation:
in math we can write as this
[tex] \frac{4}{x + 7} = \frac{3}{x + 4} [/tex]
4(x+4)= 3(x+7)
4x + 16 = 3x + 21
4x - 3x = 21 - 16
x = 5
Answer:
x=5
Step-by-step explanation:
You can approach this question in many different ways, but i'm gonna look at it algebraically, since it's the quickest and works pretty much all the time.
First, you want to convert the words they've given you and make it into a less confusing equation.
They told us that 4 divided by (x+7) = 3 divided by (x+4), which is the same as:
[tex]\frac{4}{x+7}[/tex] = [tex]\frac{3}{x+4}[/tex]
Now, we can multiply both sides by (x+7), which gives me:
4 = [tex]\frac{3(x+7)}{x+4}[/tex]
Now we can multiply both sides by (x+4), to get rid of the fractions:
4(x+4) = 3(x+7)
Then expand the brackets:
4x + 16 = 3x + 21
Move the x to one side and numbers to another side:
4x - 3x = 21 - 16
x = 5
Hope that helped : )
The diagram shows part of a regular polygon. The sides of this polygon subtend angles of 20° at the centre of the polygon. How many sides does the polygon have?
360÷20 = 18sides
U divide 360 by 20 because angles at the center add up to 360°
The given polygon will have 18 sides in total.
Given information:
The diagram shows part of a regular polygon.
The sides of this polygon subtend angles of 20° at the center of the polygon.
Let the polygon has n number of sides.
Now, the polygon is regular. So, its each side will be equal and it will make equal angle with the center.
The sum of angles made by all the sides will be equal to 360 degrees.
So, the number of sides n can be calculated as,
[tex]20\times n=360\\n=\dfrac{360}{20}\\n=18[/tex]
Therefore, the given polygon will have 18 sides in total.
For more details, refer to the link:
https://brainly.com/question/22831826
x-3/5 = y-7/2
11x=13y
Answer:
y = -319/20| x = 377/20
Step-by-step explanation:
/| 7/2-x-y-(3/5) = 0| -11*x-(13*y) = 0
We try to solve the equation: 7/2-x-y-(3/5) = 0
29/10-x-y = 0 // - 29/10-x
-y = -(29/10-x) // * -1
y = 29/10-x
We insert the solution into one of the initial equations of our system of equations
We get a system of equations:
/| -(13*(29/10-x))-11*x = 0| y = 29/10-x
-1*13*(29/10-x)-11*x = 0
2*x-377/10 = 0
2*x-377/10 = 0 // + 377/10
2*x = 377/10 // : 2
x = 377/10/2
x = 377/20
We insert the solution into one of the initial equations of our system of equations
For y = 29/10-x:
y = 29/10-377/20
y = -319/20
We get a system of equations:
/| y = -319/20| x = 377/20
if f(x)=2x+3, what is f(-2)
Answer:
-1
Step-by-step explanation:
x=(-2)
2(-2) +3
-4 +3
= -1 .
The total cost in dollars to buy
uniforms for the soccer team players
can be found using the function
y = 28.95x + 4.25, where x is the number
of uniforms purchased. If there are a
minimum of 16 players and at most 20
players on the team, what is the domain
of the function for this situation?
A 0
B 0
C {16, 17, 18, 19, 20}
D {467.45, 496.40, 525.35, 554.30,
583.25}
The instructions state "there are a minimum of 16 players and at most 20 players on the team". This means that we have between 16 and 20 players, inclusive of both endpoints. Therefore, x can take on any whole number between 16 and 20. The domain is the set of allowed x inputs of a function.
two dice are thrown together find the probability of getting
a.) two 5s
b.) a total of 8
c.) two perfect square
d.) two even numbers
What is the value of x
Answer:
[tex]x=98[/tex]
Step-by-step explanation:
Angles in a triangle add up to 180°
[tex]180-45-53[/tex]
[tex]=82[/tex]
Angles in a straight line add up to 180°
[tex]180-82[/tex]
[tex]=98[/tex]
In Addison Rae's class of 25 students, 15 students report that math is their favorite class and 40% of the students report that science is their favorite class. Show your work to explain how to determine whether more students prefer math or science. tell me how you get 15 students like math lmk
Multiply 25 total students by 40% to find thew number that like science:
25 x 0.40 = 10
10 students like science.
You are told 15 students like math.
More students like math.
what is the value of x if 8:15 ::16x
Step-by-step explanation:
8:15::16:x
8x = 15 x 16
8x = 240
x = 240/8
x = 30
Help me please !!
I need this ASAP please helpppp
Answer:
C
Step-by-step explanation:
[tex]y=(2x-3)/5[/tex]
[tex]5y=2x-3[/tex]
[tex](5y+3)/2=x[/tex]
[tex](5x+3)/2=y[/tex]
[tex]f^{-1}(x)=(5x+3)/2[/tex]
simplify √x^2+6x+9 if x≥3
Answer:
simplified expression for √x^2+6x+9 if x≥3
is x+3
Step-by-step explanation:
[tex]\sqrt{x^2+6x+9} \\=>\sqrt{x^2+3x+3x+9} \\=>\sqrt{x(x+3)+3(x+3)} \\=>\sqrt{(x+3)(x+3)} \\=>\sqrt{(x+3)^2}\\=>(x+3) \ or -(x+3)[/tex]
but given that x≥3
then we have to negate solution -(x+3)\
Then simplified expression for √x^2+6x+9 if x≥3
is x+3
what is -18=6(x-10) pls help
Answer:
x = 7.
Step-by-step explanation:
-18 = 6 (x - 10)
-18 = 6x - 60
6x = -18 + 60
6x = 42
x = 42/6 = 7.
Answer:
[tex]x=7[/tex]
Step-by-step explanation:
[tex]-18=6(x-10)[/tex]
Use distributive property.
[tex]-18=6x-60[/tex]
Add 60 on both sides.
[tex]-18+60=6x[/tex]
[tex]42=6x[/tex]
Divide by 6 on both sides.
[tex]\frac{42}{6} =x[/tex]
[tex]7=x[/tex]
Another method.
[tex]-18=6(x-10)[/tex]
Divide by 6 on both sides.
[tex]-18/6=x-10[/tex]
[tex]-3=x-10[/tex]
Add 10 on both sides.
[tex]-3+10=x[/tex]
[tex]7=x[/tex]
Give me Brainliest if my answer helped you.
If you add the distributive property and combine like terms to 2(x+3)+5x=3(2x-1) what is the result of these steps?
Answer:
x=-9
Step-by-step explanation:
2x+6+5x=6x-3
7x+6=6x-3
7x-6x=-3-6
x=-9
Answer:
x= -9
Step-by-step explanation:
2(x+3)+5x=3(2x-1)
2x+6+5x=6x-3
7x+6=6x-3
7x-6x= -3-6
x= -9
Find the volume of the figure.
*
9 cm
10 cm
2 cm
10 cm
9 cm
Answer:
Look up how to find volume and you'll get the answer right away
Step-by-step explanation:
please can i have some with the question attached thanks.
Answer:
13/6
Step-by-step explanation:
6/13 * x = 1
Multiply each side by 13/6
6/13 * 1/3 6 * x = 1 * 13/6
x = 13/6
CLASS- 9 HERON'S FORMULA
1) find the area of an equilateral trimgle whose perimeter is 60cm
Answer:
see below
Step-by-step explanation:
if its perimeter is 60 each side is 60/3 = 20.
Its height will be 10√3 so area is 20 * 10√3 / 2 = 100√3
The table shows the gallons of fuel remaining after a car
travels a certain distance in miles.
Distance
Fuel Remaining
(miles)
(gallons)
0
13.50
The change in fuel remaining from one row to the next
in the table is V gallon(s).
The change in distance from one row to the next in the
table is v mile(s).
The slope of the line that runs through the points given
in the table is
The slope indicates a
1
13.46
2
13.42
3
13.38
4
13.34
5
13.30
Answer: the answer is -0.04 ,1 ,-0.04 ,loss of 0.04 gallons of fuel for every 1 mile
Step-by-step explanation:
From the given table we can noticed that the fuel remaining (gallons) decreases as distance (miles).
It is clear that the distance increases by 1 mile for each next row and the remaining fuel is changed for each next row
The change in fuel remaining from one row to the next in the table is -0.04 gallons.
1) The change in fuel remaining from one row to the next in the table is -0.04 gallons.
2) The change in distance from one row to the next in the table is 1 mile.
3) The slope of the line that runs through the points given in the table is -0.04.
4) The slope is -0.04 it means the remaining fuel decreases by 0.04 gallons in each mile.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Now,
From the given table we can noticed that the fuel remaining (gallons) decreases as distance (miles).
Hence, It is clear that the distance increases by 1 mile for each next row and the remaining fuel is changed for each next row is,
⇒ 13.46 - 13.50
⇒ - 0.04
Thus, The change in fuel remaining from one row to the next in the table is -0.04 gallons.
And, The change in distance from one row to the next in the table is 1 mile.
Hence, The slope is the rate of change of remaining fuel with respect to change in distance is,
⇒ m = - 0.04/1
⇒ m = - 0.04
Thus, The slope of the line that runs through the points given in the table is -0.04.
And, The slope indicates a Change in the fuel remaining in each mile. The slope is -0.04 it means the remaining fuel decreases by 0.04 gallons in each mile.
Learn more about the mathematical expression visit:
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Solve by completing the square.
s2 + 22s = 27
Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.
Answer:
s = 1.17, -23.17
Step-by-step explanation:
s^2 + 22s = 27
Take the coefficient of s
22
Divide by 2
22/2 =11
Square it
11^2 =121
Add this to both sides
s^2 + 22s+121 = 27+121
s^2 + 22s+121 = 148
(s+11)^2 = 148
Take the square root of each side
sqrt((s+11)^2) = ±sqrt(148)
s+11 = ±sqrt(148)
Subtract 11 from each side
s+11-11 = -11 ±sqrt(148)
s = -11 ±sqrt(148)
s = -11 + sqrt(148) = 1.1655
- 11 - sqrt(148)=-23.166
Rounding to the nearest hundredth
s = 1.17, -23.17
Part 1= You are shopping for a shirt, and you want to get the best deal. You go to two stores, the first of which is JCPenney. What is the cost of the shirt at JCPenney?
Part 2=The second store you go to is Macy's. What is the cost of the shirt at Macy? *
Part 3=Which store has the better deal? *
A- Macy's
B- JCPenney
Answer:
Macy’s
Step-by-step explanation:
let’s find the cost of each shirt
JCPenny’s: 14.99 x 0.80 = $11.99
11.99 x 1.06 = $12.70
The final cost of the JCPenny shirt is $12.70
Macy’s: 17.99 x 0.65 = $11.69
11.69 x 1.07 = $12.51
The final cost of the Macy’s shirt is $12.51
$12.51 is less than $12.70
So, the Macy’s shirt is the better deal :)
PLEASE SOMEONE HELP ME ON 4,5, AND 6 ASAP.
Answer:
see below
Step-by-step explanation:
4. If ∠AYX = 25.5° that means that ∠XYZ = 25.5 * 2 = 51° because YA is the angle bisector.
5. If ∠XYZ = 64°, ∠AYZ = 64 / 2 = 32°.
6. You can construct ∠P and PQ by using a protractor. I'm not sure how to attach an image so I'll just tell you the answer I got for c which is about 3 cm.
Heres is an problem please answer
Answer:
2
Step-by-step explanation:
the - means you have to subtract to add. so subtract 3 over 4 and you get 2
Si un número de dos cifras se disminuye en 17 y esta diferencia se divide por la suma de sus cifras, el cociente es 5, y si el número disminuido en 2 se divide por la cifra de las unidades disminuida en 2, el cociente es 19 . Hallar el número.
Resolviendo un sistema de ecuaciones, veremos que el número de dos cifras es 97.
¿Como encontrar el sistema de ecuaciones?
Podemos escribir un número de dos cifras como:
a*10 + b
Donde a y b son dos numeros de una cifra.
Entonces podemos escribir las restricciones:
"Si un número de dos cifras se disminuye en 17 y esta diferencia se divide por la suma de sus cifras, el cociente es 5"
((a*10 + b) - 17)/(a + b) = 5
"si el número disminuido en 2 se divide por la cifra de las unidades disminuida en 2, el cociente es 19"
(a*10 + b - 2)/(b - 2) = 19
Entonces tenemos un sistema de ecuaciones, que vamos a escribir como:
a*10 + b - 17 = (a + b)*5
a*10 + b - 2 = 19*(b - 2)
Donde pase los denominadores a la derecha, así es más simple de leer.
Para resolver esto, primero debemos simplificar ambas ecuaciones, vamos a obtener:
a*10 + b - 17 = a*5 + b*5
a*10 + b - 2 = 19*b - 38
Moviendo los terminos con variables a la izquierda y los constantes a la derecha:
a*10 + b - a*5 - b*5 = 17
a*10 + b - 19*b = -38 + 2
Terminamos de simplificar:
a*5 - b*4 = 17
a*10 - b*18 = -36
Ahora debemos aislar una de las variables en una de las ecuaciones, vamos a aislar a en le primera:
a = (17 + b*4)/5
Ahora reemplazamos esto en la otra ecuación y resolvemos para b:
10*(17 + b*4)/5 - b*18 = -36
2*(17 + b*4) - b*18 = -36
34 + b*8 - b*18 = -36
34 - b*10 = -36
-b*10 = -34 - 36 = -70
b = -70/-10 = 7
Para encontrar el valor de a usamos la ecuación:
a = (17 + b*4)/5 = (17 + 7*4)/5 = 9
Entonces podemos concluir que el número es 97.
Sí quieres aprender más sobre sistemas de ecuaciones, puedes leer:
https://brainly.com/question/13729904
I really need this one to be right please!
Answer:
D
Step-by-step explanation:
B needs to be 0 or else there is an extra constant term which makes the equation non proportional
Find the rational number whose cube is 0.001728
Answer:
0.001728 is the cube of [tex]\frac{3}{25}[/tex]
Step-by-step explanation:
0.001728 = [tex]\frac{1728}{1000000}[/tex]
break down each using LCD
1728 / 2 = 864
864 / 2 = 432
432 / 2 = 216
216 / 2 = 108
108 / 2 = 54
54 / 3 = 27
27 / 3 = 9
9 / 3 = 3
3 / 3 = 1
1000000 / 2 = 500000
500000 / 2 = 250000
250000 / 2 = 125000
125000 / 2 = 62500
62500 / 2 = 31250
31250 / 5 = 15625
15625 / 5 =3125
3125 / 5 =625
625 /2 = 125
125 / 5 =25
25 / 5 = 5
5 / 5 = 1
*don't forget to add another 2 for each group*
[tex]\frac{1728}{1000000}[/tex] = [tex]\frac{2 * 2 * 2 * 2 * 2 * 2 * 3 * 3 * 3}{2 * 2 * 2 * 2 * 2 * 2 * 5 * 5 * 5 * 5 * 5 * 5}[/tex]
= [tex]\frac{3 * 3 * 3}{5 * 5 * 5 * 5 * 5 * 5}[/tex]
= [tex]({\frac{3x^{3} }{5x^{3} * 5x^{3} })^{3}[/tex]
= [tex]\sqrt[3]{\frac{1728}{1000000} } = (\frac{3}{5 * 5} )^{3}[/tex]
=[tex]\sqrt[3]{\frac{1728}{1000000} } = \frac{3}{5 * 5}[/tex]
= [tex]\sqrt[3]{0.001728} = \frac{3}{25}[/tex]
A line has x-intercept -8 and y-intercept 5. Determine the slope of a line perpendicular to this line.
Answer:
- 8/5
Step-by-step explanation:
A line has x-intercept -8 and y-intercept 5.
It means the line has passes through:
(-8, 0) and (0, 5)Slope as per slope formula:
m = (y2-y1)/(x2-x1) m = (5 - 0)/(0 + 8) = 5/8Perpendicular lines have slopes negative reciprocal to each other
So the slope of the perpendicular line is:
m = -1/(5/8) = - 8/5how do i do this? i’m having trouble
Answer:
121
Step-by-step explanation:
5x-54=3x+16
5x-3x=16+54
2x=70
x=35
-------
mAB= 5x-54= 5*35-54= 175-54= 121
Need help can someone plz help me solved this problem ASAP! Need help I will mark you as brainiest
Answer: 2, 6
Step-by-step explanation:
Triangle Inequality Theorem states that the sum of two sides must be GREATER than the third side.
RS + ST > RT and RS + RT > ST and ST + RT > RS
2x + 4x > 12 2x + 12 > 4x 4x + 12 > 2x
6x > 12 12 > 2x 12 > -2x
x > 2 6 > x -6 < x
2 < x x < 6 invalid
Answer: 2 < x < 6
Graph: O----------------------O
2 6
Note: -6 is invalid because you cannot have a negative length.
) An important factor in solid missiles fuel is the particle size distribution. Significant problems occur if the particle sizes are too large. From production data in the past, it has been determined that the particle size (in micrometres) distribution is characterized by () = 3−4 , > 1, = 0, ℎ. (i)Verify that f(x) is a density function, find (ii)( = 1 2 ), (iii) ( > 1), (iv) ( > 1.5/ > 1), (v) (2 ≤ < 4).
Answer:
see attachments
Step-by-step explanation:
can someone please help
Answer:
[tex]1000[/tex]
Step-by-step explanation:
[tex]3443-2476[/tex]
[tex]=967[/tex]
Here is a list of numbers.
12 13 19 16
32 15 13
a) Work out the range of the numbers in the list.
b) Work out the median of the numbers in the list.
_________________________________
Answers:Range=20
Median=15
Step by step explanation:
Solution,
Given data=12,13,19,16,32,15,13
Highest score=32
lowest score=12
a. Range= highest score- lowest score
= 32-12
= 20
B. Arranging the data in ascending order
= 12,13,13,15,16,19,32
N( total number of items)= 7
Median= (N+1/2)th item
=(7+1/2) th item
= (8/2) th item
= 4 th item
Median = 15
Hope it helps
Good luck on your assignment
_________________________________