Answer:
a) 98,910
b) 4,620
Step-by-step explanation:
Recordar que un numero N es multiplo de A si N es divisible por A.
Entonces, decir:
Buscar N, tal que sea multiplo de A
es lo mismo que decir:
Buscar N, tal que sea divisible por A.
a) Queremos un múltiplo de 5 y de 6 mayor que 95.000
( _ 8 9 1 _ )
Sabemos que los múltiplos de 5 terminan en 0 o 5.
Y un número de 5 dígitos mayor que 95,000 requiere que el quinto digito en este caso sea 9, entonces tendremos:
98,91_
Para encontrar el dígito de las unidades, podemos probar remplazarlo por 0 y por 5, y luego dividirlo por 6.
Si el resultado es un número entero, entonces el número será un múltiplo de 6.
Probemos con 0, vamos a tener el número:
98,910
dividiéndolo por 6 obtenemos:
98,910/6 = 16,485
Entonces:
98,910 es más grande que 95,000
es múltiplo de 5 (porque termina en cero)
Y es múltiplo de 6, como acabamos de comprobar.
b) Ahora queremos un número divisible por 3, 4 y 5, que sea menor que 4,675
4,6__
De vuelta, como tiene que ser divisible por 5, sabemos que termina en 5 o 0.
Y como también tiene que ser divisible por 4, sabemos que tiene que terminar si o si en número par, entonces podemos concluir que solo puede terminar en 0.
Así, sabemos que el número va a ser algo como:
4,6_0
Ahora podemos probar con el dígito de las decenas, de tal forma que el número sea divisible por 3, 4 y 5.
Recordar que este número tiene que ser menor que 4,675
Entonces el número faltante puede ser:
0, 1, 2, 3, 4, 5, 6, 7
Ahora también podemos recordar que un número es solo divisible por 3 si la suma de todos sus dígitos es divisible por 3.
Entonces tenemos que tener que:
4 + 6 + x + 0 = múltiplo de 3
10 + x = múltiplo de 3
Los posibles valores de x van a ser:
x = 2 (porque 12 es múltiplo de 3)
x = 5 (porque 15 es múltiplo de 3)
Ok, ahora sabemos que el número restante solo puede ser 2 o 3.
Entonces tenemos que remplazar esos valores en el número y ver si este es divisible por 4 o no.
Comenzamos con el 2.
Tendremos el número:
4,620
Probamos dividiendo esto por 4:
4,620/4 = 1,155
El resultado es entero, entonces 4,620 es divisible por 4 (y por como lo creamos, también sabemos que es divisible por 3 y por 5, y además es menor que 4,675, como queríamos)
give me the factors of 30
Answer: 1,2,3,5,6, and 10
Step-by-step explanation:
Question 1:
Solve this system of equations using any method.
4x – y = 5
3x + y = 16
a. (3, 5)
b. (4, 11)
c. (4, 4)
d. (3, 7)
Question 2:
Solve the following system of equations.
d + e = 6
d – e = 4
a. no solution
b. (5, 1)
c. (3, –1)
d. infinite number of solutions
Question 3:
Solve the following system of equations by linear combination:
4x + 3y = 12
y = x – 10
a. (3, –7)
b. (6, –4)
c. (–7, 3)
d. (–4, 6)
Answer:
Question 1: d. (3, 7)
Question 2: b. (5, 1)
Question 3: b. (6, –4)
Step-by-step explanation:
Question 1:
Solve this system of equations using any method.
4x – y = 5
3x + y = 16
Add the equations.
7x = 21
x = 3
4(3) - y = 5
-y = -7
y = 7
d. (3, 7)
Question 2:
Solve the following system of equations.
d + e = 6
d – e = 4
Add the equations.
2d = 10
d = 5
5 + e = 6
e = 1
b. (5, 1)
Question 3:
Solve the following system of equations by linear combination:
4x + 3y = 12
y = x – 10
4x + 3y = 12
-x + y = -10
Multiply the second equation by 4 and add to the first equation.
4x + 3y = 12
(+) -4x + 4y = -40
----------------------------
7y = -28
y = -4
-4 = x - 10
x = 6
b. (6, –4)
(12 points)Please I need this answer right away multiple-choice answer trolls will be reported thank you lovesss
Hopefully one if you can help me And explain
Answer:
It's A
Step-by-step explanation:
B is out, because each step increases the value linearly by 1
C is out, because each step increases the value linearly by 9
D is out, because each step increases the value linearly by 6
A increases fivefold per step
I plotted the given ordered pairs as points on a plot and figured out the exact function for you, just so that you can look at it
Ashley has baked 17 cakes for a bake sale. She can bake 2 cakes with each additional stick of butter
she buys. How many additional sticks of butter does she need in order to make 41 cakes?
WRITE THE EQUATION THEN SOLVE PLEASEEEE. THANK YOU SO MUCH
Answer:
12 additional sticks of butter
Step-by-step explanation:
First, create an equation. Let y represent the number of additional sticks of butter needed, and let x represent the number of cakes made.
y = [tex]\frac{x}{2}[/tex] will be the equation.
Since she has already baked 17 cakes, she will need to bake 24 more cakes to make 41 cakes.
Plug in 24 as x into the equation, and solve for y:
y = [tex]\frac{x}{2}[/tex]
y = [tex]\frac{24}{2}[/tex]
y = 12
So, she will need 12 additional sticks of butter
how many miles from the runaway airplane at the start of this approach.
Answer:
it should be 41 ml I think.
Give the name (monomial,
binomial, trinomial etc.) and
degree of the polynomial.
4x5 + 3x3 – 7x
Answer:
Name:- Trinomial
Degree:- 5 [ the highest power of x is 5 ]
hope it is helpful to you
Will mark brainliest
Answer:
350
Step-by-step explanation:
If the volume of the cylinder is approximately 1,357 in3, what is the radius?
whats the height of the cylinder....
we cant find radius if not given height too
V = pie r^2 h
1357 = 22/7 x r^2 x 12
1357 = 264/7 r^2
multiply both side by 7/264 ;
r^2 = 36
r = 6in
The question has the image missing. Check the attachment for the complete question.
The radius of the cylinder r = 6 in, given the volume of the cylinder, is 1357 in³.
What is the volume of a figure?The volume of a figure is the total space enclosed within the figure.
How do we determine the volume of a cylinder?The volume of a cylinder of radius r units, and height h units is determined using the formula,
The volume of the cylinder = πr²h.
How do we solve the given question?In the question, we are given a cylinder of the height of 12 inches and a radius of r inches.
The volume of the cylinder is given to be 1357 in³ approximately.
By the formula,
The volume of the cylinder = πr²h
or, 1357 = 3.14*(r²)*12
or, 1357 = 37.68r²
or, r² = 1357/37.68
or, r² = 36.013 ≈ 36 = 6²
∴ r = 6.
∴ The radius of the cylinder r = 6 in, given the volume of the cylinder, is 1357 in³.
Learn more about the Volume of a figure at
https://brainly.com/question/1972490
#SPJ2
Use the proportion of the triangle enlargement to find the missing measure of the enlarged triangle. 1. Set up the proportion:
Answer:
[tex]x =24[/tex]
Step-by-step explanation:
Given
See attachment for complete question
Required
Complete the blanks
1: Set up the proportion:
[tex]\frac{9}{6} = \frac{x}{16}[/tex]
2: Use cross product:
[tex]9(16)=6x[/tex]
3: Simplify:
[tex]144 = 6x[/tex]
4: Divide:
[tex]144/6 = 6x/6[/tex]
[tex]24 = x[/tex]
[tex]x =24[/tex]
Answer: 4 cm
Step-by-step explanation:
Find the x-intercepts of the parabola with
vertex (1,20) and y-intercept (0,16).
Answer:
Step-by-step explanation:
Since we are finding the x-intercepts, that implies that this is a parabola that opens either up or down as opposed to right or left. It would benefit us to know the equation of the parabola so we could factor it to find the roots (which are also known as the x-intercepts).
Here's what we know:
h = 1, k = 20, x = 0, and y = 20. Filling in the vertex form of a parabola is already halfway to factored, so we'll use that format as opposed to the standard form, which is
[tex]y=ax^2+bx+c[/tex]. The vertex form is
[tex]y=a(x-h)^2+k[/tex] and filling in our values from above:
[tex]16=a(0-1)^2+20[/tex] and
[tex]16=a(1)+20[/tex] and
-4 = a. So the equation for the parabola is
[tex]y=-4(x-1)^2+20[/tex]. Now set it equal to 0 and factor.
[tex]-20=-4(x-1)^2[/tex] and divide both sides by -4 to get:
[tex]5=(x-1)^2[/tex] and take the square root of both sides to get
±[tex]\sqrt{5}=x-1[/tex] and then add 1 to both sides to get the x-intercepts (or roots or solutions or zeros...they're all the same).
x = 1 ±√5 and you're done!
. The time of a clock as seen in a mirror is 3:15. The correct time is
Answer:
3:15 cause a mirror cant change time
Step-by-step explanation:
go in ur mirror and look at the time did it somehow get darker or lighter???
Answer:
8:45 i think
Step-by-step explanation:
Y-intercept = 5
Slope = 3
Answer:
the equation as intercept form is
y = 3x + 5
What’s a converse in mathematics
Answer:
A converse is the result of reversing its two constituent statements.
Example, P-Q. Converse would be Q-P
Please help first real answer will get brainliest
Answer:
6
Step-by-step explanation:
a1(n-1) + D
d = 6
Point slope form equations can be converted into slope intercept form. Distinguish whether the following
equations are the equations of the same line. Prove and explain your answer. Show your work for your
teacher to review.
y+ 1 = 5(x + 2) and y = 5x + 10
PLEASE HELP IM LITERALLY DYING
Please help I will give brainlist
Answer:
they are NOT the same
Step-by-step explanation:
y+ 1 = 5(x + 2) is y = 5x + 9
distribute the 5 and get 5x + 10
when you subtract the 1 from both sides the 10 becomes a 9
PLEASE HELP! Urgent I'll give brainliest if answer is right tysm.
The force, F (Newtons), between two objects is inversely proportional to the square of the distance, d (metres), between them.
The force is 0.35 Newtons when the distance between the objects is 8 metres.
Work out F (rounded to 2 DP) when d=7 metres.
Sorry for the wrong answer
Answer:
0.46 Newtons
Step-by-step explanation:
The force, F (Newtons), between two objects is inversely proportional to the square of the distance, d (metres), between them.
f = k/d²
--------------------------------
to determine k use The force is 0.35 Newtons when the distance between the objects is 8 metres.
0.35 = k/8²
0.35 = k/64
multiply both sides by 64
22.4 = k
---------------------------
Work out F (rounded to 2 DP) when d=7 metres.
f = 22.4/7²
f = 22.4/49
f = 0.46
State if the two triangles are congruent.
Answer:
The triangles are congruent by HL
Step-by-step explanation:
The triangles are right triangles so we can use either HL ( hypotenuse leg) or LL (leg leg) if we know that two sides are congruent
We know one leg is equal to the other by the red line. The hypotenuse is the same since it is the same line.
The triangles are congruent by HL
Olivia went to a dance party. She paid $12 as an entry fee. Once inside the dance party, she paid $2 per snack. She started the night with $30 and spent all her money.
write an equation that represents this situation?
Pls help
Answer:
30-12=18
18-18=0
Step-by-step explanation:
2x + 12 = 30
X represents the snacks, 2 represents the $2 per snack, 12 represents the $12 entry fee, and 30 represents the $30 Olivia had.
I need help with can you guys show me the work.
Answer:
Δy = 30 ft.
Step-by-step explanation:
From the question given above, the following data were obtained:
Angle θ = 17.5°
Hypothenus = 100 ft
Opposite = Δy =?
The value of Δy can be obtained by using sine ratio as follow:
Sine θ = Opposite / Hypothenus
Sine 17.5 = Δy / 100
Cross multiply
Δy = 100 × Sine 17.5
Δy = 30 ft
which of the following is equivalent to squareroot 8?
Answer:
2√2
Step-by-step explanation:
32% of a number is 64 what is the number
Answer:
If you take 32 percent of a number and get 64, then what is that number? In other words, you know that 32 percent of a number is 64 and you want to know what that initial number is. Therefore, the answer to "64 is 32 percent of what number?" is 200, and you can also derive that 32 percent of 200 equals 64.
Step-by-step explanation:
200
Step-by-step explanation:
32% x = 64
(32/100)x= 64
0.32x=64
x=64÷0.32
x=200
8 books cost 11.20. Find the cost of 5 books
First of all we have to find the cost of a book then multiply it by 5 :
$ 11.20 ÷ 8 = $ 1.4
$ 1.4 × 5 = $ 7
Thus 5 books have a cost of $ 7 .
Answer:
The cost of 5 books is $7
Step-by-step explanation:
If there are 8 books and you need to find the cost of 5, you need to first find the cost for one book.
If 8 books cost 11.20.
11.20 ÷ 8 = 1.40
1.40 is the cost of one book
1.40 x 5 = 7
So the cost of 5 books is $7
I tried my best to explain
1. If NK = 7 and KL = 15, find NL.
2. If m∠JMK = (8x – 13)° and m∠LMK = (4x + 19)°, find x.
Answer:
NL = 13.26
x = 9.5
Step-by-step explanation:
Find the diagram attached
1) Given that NK = 7 and KL = 15
NL² = KL² - NK²
NL² = 15² -7²
NL² = 176
NL = 13.26
2) Given that m∠JMK = (8x – 13)° and m∠LMK = (4x + 19)°
From the rhombus;
m<JML = 120 degrees
m∠JMK + m∠LMK = m∠JML
8x-13 + 4x +19 = 120
12x + 6 = 120
12x = 120-6
12x = 114
x = 114/12
x = 9.5
Hence the valle of x is 9.5
are the triangle similar
1-yes
2-no
Answer:
yes the triangle are similar
You earn $30 for washing 5 cars. How much do you earn
per car?
Answer:
You get 6 dollars per car
Step-by-step explanation:
I divided 30 by 5
Answer: $6 per car
Step-by-step explanation:
If it's 30 dollars for 5 cars and we want to know how much it is for 1 car we need to divide both by 5
[tex]\frac{30}{5} =6\\\frac{5}{5} =1[/tex]
$6 per one car
Cleiton vai participar de uma maratona e para isso treina diariamente correndo 7 km. No final de três semana quantos quilômetros terá percorrido?
Answer:
Number of kilometer he run in 3 week = 147 kilometer
Step-by-step explanation:
Given:
Cleiton's daily run = 7 km
Find:
Number of kilometer he run in 3 week
Computation:
Number of days in a week = 7
Number of days in 3 week = 7 x 3
Number of days in a week = 21 days
Number of kilometer he run in 3 week = Cleiton's daily run × Number of days in a week
Number of kilometer he run in 3 week = 7 × 21
Number of kilometer he run in 3 week = 147 kilometer
a right cone with base circumference 14 pi ft
and slant height 3 times the radius. Give answer in terms of pi
the answer is a batty fish with a Somali forehead
Https://imgur.com/a/n3PRcMY
I will give anyone who can give me the right answer to the Brainist! I really need an answer!
Answer:
a. 49 ft (nearest ft)
b. 24.5 sec
Step-by-step explanation:
a. work out TOP
[tex] \sqrt{ {45}^{2} + {20}^{2} } \\ = 49.24 \\ = 49[/tex]
b.
[tex] \frac{49}{2} \\ = 24.5[/tex]
divide by 2 coz its 2 ft per second. so 49 ft for 24.5 sec
Answer:
49 feet
25 seconds
Step-by-step explanation:
use the pythagorean theorem
a² + b² = c²
20² + 45² = c²
400 + 2,025 = c²
2425 = c²
Take the square root of both sides
c = 49.244289009
Rounded
49 feet
------------------------
time
t = 49 /2
t = 24.5 seconds
Rounded
25 seconds
Select the FOUR equations that are equivalent to 2(x+3)−2=16.
A (x+3)−1=8open paren x plus 3 close paren minus 1 is equal to 8
B (x+3)−2=8open paren x plus 3 close paren minus 2 is equal to 8
C 2(x+3)=182 times open paren x plus 3 close paren is equal to 18
D x+3=9x plus 3 is equal to 9
E 2x=122 x is equal to 12
F 2x=15
Answer:
A (x+3)−1=8open paren x plus 3 close paren minus 1 is equal to 8
C 2(x+3)=182 times open paren x plus 3 close paren is equal to 18
E 2x=122 x is equal to 12
Step-by-step explanation:
Given:
2(x+3) − 2 = 16
2x + 6 - 2 = 16
2x = 16 - 6 + 2
2x = 12
x = 12/2
x = 6
A. (x+3)−1=8
x + 3 - 1 = 8
x = 8 - 3 + 1
x = 6
B (x+3)−2=8
x + 3 - 2 = 8
x = 8 - 3 + 2
x = 7
C 2(x+3)=18
2x + 6 = 18
2x = 18 - 6
2x = 12
x = 12/2
x = 6
D x+3=9x
3 = 9x - x
3 = 8x
x = 3/8
E 2x=12
x = 12/2
x = 6
F 2x=15
x = 15/2
x = 7 1/2