In a two-digit number, the units digit is twice the tens digit. If the number is doubled
it will be 9 more than the number reversed. Find the number.
T=Tens
U=Unit
From the question... The Unit digit is twice the Tens digit
Let the Number be xy
Meaning
y is the unit number
x is the tenth Number
Can be inferred for the question that
y=2x ...........(i)
Also
If the Number is doubled x2(times 2)
"It'll be 9more than the reversed"
Now listen
if you want to express a 2digit Number...
Let's say 45...
It can be expressed as 10x4 + 5 = 45
or
66 can be expressed as 10x6 + 6 = 66
So
It'd be better if we express this our unknown number like that too
So
Let's express "xy" like "10x + y"
Hope you grab?
Now from the second statement of the question..
If The Number is doubled...It'll be 9 more than the reversed
What is the reverse of that Number??
The reverse would be "10y + x"
You can see that x and y switched places.
so
The statement said...
2(10x + y) + 9 = 10y + x (reversed)
20x + 2y + 9 =10y + x ........(ii)
Recall from our first eqn
y=2x
Now substitute y=2x into eqn ii
20x + 2(2x) + 9 = 10(2x) + x
20x + 4x +9 = 20x + x
20x - 20x + 4x - x = -9
3x = -9
x=-3
y=2x
y=2(-3)
y=-6
So The Number is 10x + y
= 10(-3) + (-6)
=-30-6
=-36
This answer obeyed the first part of the question because the unit is twice digit(2x3)
Let's check if it obeyed the second part
2[(10(-3) + (-6)] + 9 = 10(-6) + (-3)
2(-30-6) + 9 = -60-3
-63=-63
The 2nd part is also true.
So
Our Number is -36.
I'm Open to corrections if you spot any.
Which equation is equivalent to
y-1= 5(x+2) ?
Step-by-step explanation:
We can simply by opening the brackets ,
=> y - 1 = 5( x - 2 )
=> y - 1 = 5x - 10
=> y - 5x = -9
=> 5x - y + 9 = 0
can u help me part 3..
write an equation to show the relationship between a and c when a = b + 9 b = c - 2
Given:
The equations are:
[tex]a=b+9[/tex]
[tex]b=c-2[/tex]
To find:
The equation that show the relationship between a and c.
Solution:
We have,
[tex]a=b+9[/tex] ...(i)
[tex]b=c-2[/tex] ...(ii)
Equation (i) can be rewritten as:
[tex]a-9=b[/tex] ...(iii)
From (ii) and (iii), we get
[tex]a-9=c-2[/tex]
[tex]a-c=9-2[/tex]
[tex]a-c=7[/tex]
Therefore, the required equation is [tex]a-c=7[/tex].
Solve the system of equations by substitution. Simplify your answer. Write the
solution as an ordered pair.
y= 3x - 13
3x + 2y = 19
Answer:
x = 5 y = 2
Step-by-step explanation:
3x + 2(3x - 13) = 19
3x + 6x - 26 = 19
9x = 45
x = 5
y = 3(5) - 13
y = 15 - 13
y = 2
What are the coordinates of V′ for the transformation (T(–3, 1)° D4 )(ΔTUV) of T(–7, –6), U(–8, 3), and V(2, 1)?
Answer:
(5;1)
Step-by-step explanation:
-3 means shift to the right
Change the units up above to the correct answer from (a) to (d)
Answer:
Step-by-step explanation:
1 cm = 10 mm
a) 0.1 cm = 1 mm
1 mm = 1000 m
b) 25000mm = 25 m
1 g = 0.001 kg
c) 7g = 0.007 kg
1ml = 0.000001
d) 30000ml = 0.03 kl
pls help me solve pls show how you got the answer
Step-by-step explanation:
the answer is number a 88 CM square
hey, if the volume is 8cm^3, each side will be 2 cm, why? because 8√3 equals 2. or 8=2×2×2.
so each side equals 2.
to calculate the surface area, we need to calculate one square's area and multiples it by the number of the surfaces.
to calculate a square's area: 2×2=4
so each square has the surface of 4cm^2
now we count to see how many squares do we have.
we've got 22 surfaces.
so 22×4=88cm^2
then option C is the answer
my mother tongue isn't English so my apologies if I couldn't explain well
What is the volume of the plastic rocket???
Answer:
A) 151 in³ or 151 cubic inches
Step-by-step explanation:
Volume of rocket = Volume of Cylinder + Volume of Cone
Step 1
Find the volume of the cylinder
Volume of a cylinder = πr²h
r = Diameter/2
= 5/2 = 2.5 inches
h = 6 inches
Hence,
π × 2.5² × 6
= 117.81 cubic inches
Step 2
Find the volume of the cone
Volume of a cone =1/3 πr²h
h = 11 inches - 6 inches
= 5 inches
r = 2.5 inches
Hence,
1/3 × π × 2.5² × 5
= 32.72 cubic inches
Therefore:
Volume of rocket = Volume of Cylinder + Volume of Cone
= 117.81 cubic inches + 32.72 cubic inches
= 150.53 cubic inches
Approximately to the nearest inch = 151 in³ or 151 cubic inches
Option A is correct
Please help i'm struggling with this!It's urgent!
Answer:
Step-by-step explanation:
Dilation
In the trapezium ABCD, AB= 4 cm, BC=9 cm, CD= 16 cm, BCD=90°.
Find AD.
The value of AD will be 15 cm.
[tex] \mathrm{✌TeeNForeveR✌}[/tex]
Wayne is mixing paint. He makes six quarts of brown paint by mixing equal quantities of yellow paint and violet paint. The violet paint is made from one-third red paint and two-thirds blue paint.
1.What percentage of the brown paint is made from red paint? ( Hint: use the ratio table and convert the fraction to percentage) Explain how you figure out
2.Wayne decides to make 12 quarts of brown paint by using the same formula as above. Will the percentage of brown paint that is made from blue paint change or stay the same? Explain your answer. (Hint: proportional table. Will the ratio/percentage of the paint change with the increase in the amount of paint used?)
Answer:
Step-by-step explanation:
2/6=33.33
Math help please show work I will mark Brainlist if correct
Answer:
Step-by-step explanation:
(2). 1 yd ≈ 0.9144 m
1 yd³ ≈ 0.76455 m³
2 yd³ ≈ 1.53 m³ ≈ 2 m³
(3). 1 ft ≈ 0.3048 m
1 ft² ≈ 0.0929 m²
162 ft² ≈ 15.1 m²
(4). 1 mi ≈ 1.60934 km
1 mi² ≈ 2.59 km²
503 mi² ≈ 1302.8 km²
In a right triangle, the hypotenuse / the opposite side is:
answer choices:
cosine
cotangent
cosecant
secant
What is the range of the following data?
10 20 30 40 50 60 70 80 90 100
50
20
70
60
Find the exact value, without a
calculator
711/6
sin
2
7π
tan
12
711/6
COS
2
? ] + [
- √
Answer:
The answer to calculate this will be:
5
π
6
The required value of tan(7π/12) = √[(2+√3)/(2-√3)].
To find the exact value of tan(7π/12).
What are trigonometric equations?These are the equation that contains trigonometric operators such as sin, cos.. etc.. In algebraic operation.
[tex]tanx =\sqrt{ \frac{1 -cos2x}{1 + cos2x} }[/tex]
tan(7π/12) = √ [ (1 - cos2(7π/12) ) / (1 + cos2(7π/12) ]
= √ [ (1 - cos(7π/6) ) / (1 + cos(7π/6) ]
= √ [ (1 - cos(π + π/6) ) / (1 + cos(π + π/6) ]
Since cos(π + x) = -cosx
= √ [ (1 + cos(π/6) ) / (1 - cos(π/6) ]
Here, cos( π/6 ) = √3/2
= √ [ (1 + √3/2 ) / (1 - √3/2 ]
= √ [ (2 + √3)/2 / (2- √3)/2 ]
= √ [ (2 + √3) / (2- √3) ]
Thus, the required value of tan (7π/12) = √ [ (2+√3)/(2-√3) ].
Learn more about trigonometry equations here:
https://brainly.com/question/22624805
#SPJ2
La Sra. Conley le pregunta a su clase qué tipo de fiesta quieren tener para celebrar su comportamiento ejemplar. De todos los estudiantes en la clase, 5 quieren una fiesta de helado, 7 quieren una fiesta de películas, 10 quieren una fiesta de disfraces y los demás están indecisos. Si el20%, quiere una fiesta de helado, ¿cuántos estudiantes hay en la clase?
Answer:
En la clase hay 25 alumnos.
Step-by-step explanation:
La regla de tres es una forma de resolver problemas de proporcionalidad entre tres valores conocidos y una incógnita, estableciendo una relación de proporcionalidad entre todos ellos.
De todos los estudiantes en la clase, 5 quieren una fiesta de helado. Sabiendo que el 20% de los estudiantes de la clase quiere una fiesta de helado, se puede aplicar la regla de tres: si el 20% de los estudiantes de la clase son 5 estudiantes, el 100% (totalidad de los alumnos) cuántos alumnos son?
[tex]totalidad de los alumnos=\frac{100*5}{20}[/tex]
totalidad de los alumnos= 25
En la clase hay 25 alumnos.
Jaira is volunteering to stack 12 boxes of soup cans at a community food bank. She stacks the boxes to form a right rectangular prism. Describe or show 2 different ways that Jaira could have arranged her boxes to still make a rectangular prism.
Example: 6 boxes long, 1 box wide, and 2 boxes high ( 6 x 1 x 2 = 12 boxes )
A second way is: 4 boxes, ? , ? 4 x ? x ? = 12 boxes
A third way is: ? ? x ? x ? = ? boxes
2. Would you measure the space these boxes’ shape take up the same way you counted the area that the rug covered on the floor? Explain.
Answer:
6 boxes wide
6 boxes wide
or 2high 2high 2high 2high 2high 2high
Step-by-step explanation:
6 wide and 6 wide to make 12. 6x2=12
2 high ×6 2×6=12
Find the missing angle in this triangle
Answer:
hope it helps
Step-by-step explanation:
124+23+x=180
x+147=180
x=180-147
x=33
1) Paul is buying stock to add
to his portfolio. The cost of the
stock is $60 per share. The
broker that he's buying from
also charges a processing fee
of $100.
De 1.620 trabajadores de una empresa textil 7/9 trabajan en confeccion y el resto en tareas administrativas. ¿cuantos trabajadores trabajan en confeccion?
Answer:
The number of employees work in clothing is 1260.
Step-by-step explanation:
Out of 1,620 workers in a 7/9 textile company work in clothing and the rest in administrative tasks. How many workers work in clothing?
Total workers = 1620
employees works for clothing = 7/9
So, the number of employees = 7/9 x 1620 = 1260
Usando la informacion dada, veremos que el número de trabajadores que trabajan en confección es 1,260.
Sabemos que hay un total de 1,620 trabajadores en la empesa textil.
7/9 de ellos trabajan en confección.
Queremos ver el número de trabajadores que trabaja en confección, para ello, simplemente debemos multiplicar la fracción del número total que trabaja en confección por el número total, es decir:
N = (7/9)*1,620 = 1,260
1,260 trabajadores trabajan en confección.
sí quieres aprender más, puedes leer:
https://brainly.com/question/12668006
Plss help me with this equation
Answer:
x = 110 degree
Step-by-step explanation:
Hope this helps u !!
Find the values of x and y
X=
Y=
Answer:
x = 7
y = 4
Step-by-step explanation:
y + 12 = 3x - 5
5y - 4 = 3x - 5
So y + 12 = 5y - x
To solve the equation above, y =4
Sub y = 4,
x = 7
work out the answer of the given fractions 3/12+1/6=
La velocidad maxima permitida en una autopista es de 120km/h. Se considera infraccion si se sobrepasa segun al rodar el 12% de esa velocidad. A que velocidad como minimo iba un conductor que cometio una infraccion
Answer:
La velocidad mínima a la que debe ir un conductor que cometa una infracción es de:
134.5 Km/hO si se desea un número entero:
135 Km/hStep-by-step explanation:
Para identificar la velocidad que debe levar un conductor para cometer una infracción, se deben tener en cuenta las pautas dadas en el ejercicio:
Velocidad Máxima Permitida: 120 Km/hCausa de infracción: Sobrepasar el 12% de la velocidad máxima.Ahora debemos calcular el 12% de la velocidad máxima permitida y sumarlo a dicha velocidad, con el fin de calcular la velocidad límite justo antes de cometer la infracción:
Velocidad límite antes de la infracción = 120 Km/h + (120 Km/h * 12%)Velocidad límite antes de la infracción = 120 Km/h + 14.4 Km/hVelocidad límite antes de la infracción = 134.4 Km/hCómo puedes ver, cuando el conductor está manejando a 134.4 Km/h está justo al límite antes de cometer una infracción, ya que recuerda que en el enunciado se menciona que "se considera infracción si se sobrepasa según al rodar el 12% de esa velocidad", por lo tanto, la velocidad que debe tener para cometer esa infracción debe ser mayor a la velocidad límite, la cual puede ser 134.5 Km/h, aumentando solo una décima a la velocidad límite, o 135 Km/h si se requiere que la respuesta sea un número entero.
find the complement of 63°
Answer:
63=90-63= 27
Bye
The numbers below represent side lengths of various triangles. Which of the triangles are right triangle?
1. 5, 6, 9 A. Right triangle
2. 9, 11, 13 B. Not a right triangle
3. 20, 21, 29
4. 7, 24, 25
5. 9, 40, 41
Answer:
Step-by-step explanation:
Number 5
HELPPP PLEASE!!!!!!!!!!
HELP I WILL GIVE brainly Est to whoever can answer.
Answer:
122
Step-by-step explanation:
Have a nice day :)
plz mark brainllest
cant figure this one out! will mark brainliest. also don’t have to show work if you don’t want to, i just need the answer
Answer:
a = -24
Step-by-step explanation:
a / -3 - 2 = 6
a/-3 = 8
a = -3 * 8
a = -24
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer: a= -24
a/-3- 2=6
+2 +2
a/-3=8
*3 *3
a= -24
