Anya, Daniel and Victoria shared some tokens for games in an arcade in the ratio 3:5:7.
Daniel and Victoria together received a combined total of 36 tokens. What is the total
number of tokens originally shared among
the friends?
Answer:
45 Tokens
Step-by-step explanation:
3:5:7
Anya = 3
Daniel = 5
Victoria = 7
Daniel + Victoria = 36
5 + 7 = 36
12 = 36
1 = 3
(1 ratio is 3 tokens)
(3 + 5 + 7) × 3 = 45
The trapezoid below is made up of a square and a triangle. The total area of the trapezoid is 60 square meters. The area of the triangle is 24 square meters. What is the length of a side of the square?
Answer:
6cm
Step-by-step explanation:
Area of the trapezoid = Area of the square + Area of the triangle
Area of the square= Area of the trapezoid - Area of the triangle
Area of the square= 60 - 24
Area of the square= = 36 square metres
Since Area of the square= L²
L is the length of the side of the square
L² = 36
L = √36
L = 6cm
Hence the required length is 6cm
can I get a walkthrough on these problems please?
Answer:
Step-by-step explanation:
52 + 27 = angle 1 (sum of two interior opposite angle is equal to the exterior angle formed)
79 = angle 1
angle 2 + 71 = 92 degree (sum of two interior opposite angle is equal to the exterior angle formed)
angle 2 = 92 - 71
angle 2 = 21 degree
A tourist bought a Nepali cap with 20% discount and 13% value added tax when returning to his country the VAT amount Rs. 83.20 returned back to home at the airport. What was the marked price of the cap? Find it
Answer:
Marked price = Rs 800
Step-by-step explanation:
Let the marked price of the cap be Rs.“x”.
Discount = 20%
VAT = 13%
VAT amount = Rs. 83.20
We know,
Discount = Marked price – Selling Price
⇒ Selling price = Marked price – discount
The price after giving a discount or Selling price:
[tex]= x - 20 \% \ of \ x \\\\= x - \frac{20}{100} \times x\\\\=\frac{100x - 20x }{100}\\\\=\frac{80x}{100}\\\\=\frac{8x }{10}\\\\=\frac{4x}{5}[/tex]
VAT amount = VAT% of Selling Price
[tex]83.20 = 13 \% \ of \ \frac{4x}{5}\\\\83.20 = \frac{13}{100} \times \frac{4x}{5}\\\\13 \times 4x = 83.20 \times 100 \times 5\\\\4x = \frac{8320 \times 5}{13}\\\\4x = 3200\\\\x = 800[/tex]
Thus, the marked price of the cap is Rs. 800.
Help me which one is correct?
Answer:
here is the answer bae. Feel free to ask for more
Answer: -m3+m2
Step-by-step explanation: 2m2-[m2(7m-)]6m2
2m2-7m2-m3+6m2
-m3+m2
PLS HELP
does anyone know how to solve this?
Answer:
-5
Step-by-step explanation:
f(x) = 5 cos ( 3x)
f(60) means let x = 60
f(60) = 5 cos ( 3*60)
= 5 cos (180)
= 5 (-1)
= -5
Answer: -5
Step-by-step explanation:
5cos 3x60
5cos 60
5 x (-1) = -5
A) En un videojuego el número de pruebas que hay que superar es el doble de las del nivel anterior, si en el nivel 1 hay dos pruebas, ¿Cuántas habrá en el nivel 5? ¿y en el 9? ES PARA MAÑANAAAAA
Answer:
En el nivel 5 habrá 32 pruebas mientras que en el nivel 9 habrá 512 pruebas.
Step-by-step explanation:
En un videojuego en el nivel 1 hay 2 pruebas.
El número de pruebas que hay que superar es el doble de las del nivel anterior. Entonces en el nivel 2 se deben superar 4 (2 pruebas del nivel 1*2, el doble) pruebas, mientras que en el nivel 3 hay que superar 8 pruebas (4 pruebas del nivel 2*2, el doble).
Una sucesión es una secuencia ordenada de números. Si observamos en este caso, la sucesión que se forma para calcular el número de pruebas es 2ⁿ, donde n es el número de nivel en el videojuego.
Entonces, por ejemplo, en:
el nivel 1: 2ⁿ= 2¹= 2 pruebasel nivel 2: 2ⁿ= 2²= 4 pruebasel nivel 3: 2ⁿ= 2³= 8 pruebasEntonces, para calcular la cantidad de pruebas en el nivel 5 se realiza el cálculo:
2ⁿ= 2⁵= 32 pruebas
mientras que para calcular la cantidad de pruebas en el nivel 5 se realiza el cálculo:
2ⁿ= 2⁹= 512 pruebas
Entonces, en el nivel 5 habrá 32 pruebas mientras que en el nivel 9 habrá 512 pruebas.
Sabiendo como cambia el número de pruebas por nivel, veremos que en el nivel 5 hay 32 pruebas y en el nivel 9 hay 512 pruebas.
Sabemos que la cantidad de pruebas que hay que superar en cada nivel es el doble de las que hay en el nivel anterior.
Entonces, esto es una serie geometrica, que se puede escribir como:
[tex]A_n = A_1*2^{n - 1}[/tex]
Donde A₁ es la cantidad de pruebas en el primer nivel, que sabemos que son 2.
Entonces escribimos:
[tex]A_n = 2*2^{n-1} = 2^n[/tex]
En el nivel 5 tenemos n = 5, entonces la cantidad de pruebas que hay en e nivel 5 esta dado por:
[tex]A_5 = 2^5 = 32[/tex]
Es decir, hay 32 pruebas en el nivel 5.
Para el nivel 9 tenemos n = 9, entonces hay:
[tex]A_9 = 2^9 = 512[/tex]
Hay 512 pruebas en el nivel 9.
Sí quieres aprender más. puedes leer:
https://brainly.com/question/18790599
Find the value of x in the figure below
Step-by-step explanation:
this might help you out..
There are 75 students in classes A and B altogether. There are 61 students in classes A and C altogether. The ratio of the number of students in Class B to Class C is 5:3. How many students are there in Class A?
Answer:
40
Step-by-step explanation:
A + B=75
A + C = 61
B = 5/3 *C
A+C * 5/3 = 75 then we got the answer
Answer:
A = 40
Step-by-step explanation:
A+B = 75
A+C = 61
Subtract
A+B = 75
-A-C = -61
----------------------
B-C = 14
B:C
5:3
for every 5B there are 3C
Replace B with 5/3 C
5/3C-C = 14
2/3C = 14
C = 21
A+C = 61
A +21 = 61
A = 40
How many points need to be removed from this graph
so that it will be a function?
0 1 point
0 2 points
O 3 points
-5-4-3-2-1
112
O 4 points
Answer:
I think it is 2 points for this .
Instructions: Find the slope of the line through the points (-15, 14) and (13, 6). Make sure to simplify
fractions and enter your answers with a foward slash (i.e."/"). If the slope is undefined enter "undefined."
Slope =
Answer:
= -2/7
Step-by-step explanation:
We can use the slope formula
m = (y2-y1)/(x2-x1)
= ( 6-14)/(13 - -15)
= (6-14)/(13+15)
= -8/28
= -2/7
Need help now I have 3 min asapppppp
Answer:
Step-by-step explanation:
a:0
B:1
C:-1
In the triangle below, what is the sine of 60°?
site
60°
2
1
30°
13
ОА.
NI
O B. 2
O c. 1
D. VE
Answer:
[tex]{ \boxed{ \bf{formular : } \: { \tt{ \sin( \theta) = \frac{opposite}{hypotenuse} }}}} \\ \sin(60 \degree) = \frac{ \sqrt{3} }{2} \\ { \underline{ \blue{ \tt{ {beckerjnr}}}}}[/tex]
The value of expression sine of 60° is,
⇒ √3 / 2
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
Triangle is shown in image.
Now, We know that;
Sin x = Opposite / Hypotenuse
Hence, We get;
⇒ sin 60° = √3 / 2
Thus, The value of expression sine of 60° is,
⇒ √3 / 2
Learn more about the triangle visit;
brainly.com/question/1058720
#SPJ7
A square has an area of 36 ft^2. What is the perimeter of the square? Show or explain your
answer.
Answer:
24 ft
Step-by-step explanation:
The area of a square is given by
A = s^2
36 = s^2
Take the square root of each side
sqrt(36) = sqrt(s^2)
6 = s
The perimeter of a square is
P = 4s
P = 4(6)
P = 24
Solve the system by substitution.
y = 4x
y = 8x - 36
Answer:
(9,36)
Step-by-step explanation:
Substitute the 4x for the y in second equation.
Basically setting them equal to each other because the both have 'y='
4x = 8x - 36
-4x = -36 (subtract 8x from both sides)
x = 9 (divide by -4, both sides)
y = 4(9) (Substitute the x value into first equation)
y = 36
Shirts-2-Go sells t-shirts for a base price of $12 per shirt plus a fixed fee of $3 shipping and handling for the whole order. Shirts PLUS sells t-shirts for a base price of $8 per shirt plus a fixed fee of $23 shipping and handling for the whole order. Let x represent the number of shirts ordered and let y represent the total cost of the order.
y = 12x + 3
y = 8x + 23
How many shirts would you have to purchase for the total cost to be the same at both companies?
Answer:
5 shirts
Step-by-step explanation:
Y=12x+3 equation 1
y=8x+23 equation 2
12x+3=8x+23 substituting y value will cause equations to equal
4x=20
x=5 shirts
check answer
y=12x+3
y=12(5)+3
y=60+3
y=63
y=8x+23
y=8(5)+23
y=40+23
y=63
help please, i have absolutely no idea how to do this :(
Answer:
[tex]m = \frac{1}{2}[/tex]
Step-by-step explanation:
Two points are ( 8, 0 ) and (0 , - 4)
[tex]slope \ , \ m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-4 -0}{0-8}=\frac{-4}{-8} = \frac{1}{2}[/tex]
[tex]\text{Solve for x:}\\\\3x + 9 = 12\\\\\text{Thank you.}[/tex]
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]x = 1[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Calculating the Answer...}}\\\\3x+9=12\\--------\\\rightarrow 3x + 9 -9 = 12 - 9\\\\\rightarrow 3x = 3\\\\\rightarrow \frac{3x=3}{3}\\\\\rightarrow \boxed{x=1}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Answer:
x = 1
Step-by-step explanation:
(x + a = b
x = b - a)
or
(x + a = b
x + a - a = b - a [subtract both sides by a ]
x + 0 = b - a [ - a + a = 0 ]
x = b - a )
[tex]3x + 9 = 12\\3x + 9 - 9 = 12 - 9\\3x + 0 = 3\\3x = 3\\\\\frac{3x}{3} = \frac{3}{3}\\\\x = 1[/tex]
13. Jimmy is writing a paper for one of his classes. The paper has to be 3,000 words
long, and so far he has written 696 words. If he only has 6 more days to write
his paper and wants to write the same number of words each day, then how
many words must he write per day to finish the paper?
Answer:
500
Step-by-step explanation:
3000 divided by 6
Hope this helped, sorry if I'm wrong!
Answer: 384
Step-by-step explanation:
Subtract 3,000 by 696 to see how many words he has left.
3,000 - 696 = 2,304
Then divide 2,304 by 6.
2,304 ÷ 6 = 384
Your answer is 384 words each day.
Perform the transformations
Question 1
Which of the following numbers is greater than 6 and less than 8?
60
O 780
70
Answer:
The number which is more than 6 and less than 8 is 7.
Step-by-step explanation:
There are the natural numbers.
To find the number which is more than 6 but less than 8.
The numbers which are more than 6 are 7, 8, 9, 10, ....
The numbers which are less than 8 are ...,3, 4, 5, 6, 7
So, the number which is more than 6 and less than 8 is 7.
Fill in the blank with the correct response.
If x:6 as 3:9, then x is equal to .
Answer:
X is equals to 2
Step-by-step explanation:
I hope it helps you
In 1990, the population p of India was about 870.5 million people. By 1995, there were about 960.9 million people. The equation =870.5⋅(1.021)
p
=
870.5
⋅
(
1.021
)
t
approximates the number of people, in millions, in terms of the number of years t since 1990.
By what factor does the number of people grow in one year?
Answer:
18.08 million people increase per year
Step-by-step explanation:
870.5 to 960.9 difference in 5 years.
960.9- 870.5 divided by 5 is your formula
comes to a 18.08 million people increase per year
no agruing this answer
The graph of y - 3x + 2 is:
3g - 4 = 17
show ur work
Answer:
g = 7
Step-by-step explanation:
3g - 4 = 17
+ 4 + 4
3g = 21
÷3 ÷3
g = 7
Answer:
g=7
Step-by-step explanation:
First add 17+4=21 to find out how much 3g needs to equal. 3g needs to get to 21. Next, do 21/3=7. g=7
Hope this helps!
cotθ= tan30° find theta
Answer:
60
Step-by-step explanation:
Cot is the same as 1/tan so:
[tex]1/tan(theta) = tan(30)[/tex]
By rearranging the equation, we get:
[tex]1/tan(30) = tan(theta)[/tex]
By taking the inverse tan, we get:
[tex]theta = tan^-1 (1/tan(30)) =60[/tex]
(x+1)^2 . (x^2+1) = 0
Answer:
[tex]x^4+2x^3+2x^2+2x+1[/tex]
Step-by-step explanation:
Given that,
[tex](x+1)^2 . (x^2+1) = 0[/tex]
We know that, [tex](a+b)^2=a^2+b^2+2ab[/tex]
So,
[tex](x+1)^2=x^2+1+2x[/tex]
So,
[tex](x+1)^2 . (x^2+1) = (x^2+1+2x)(x^2+1)\\\\=x^2\times x^2+x^2+2x^3+x^2+1+2x\\\\=x^4+2x^3+2x^2+2x+1[/tex]
So, the value of the given expression is equal to[tex]x^4+2x^3+2x^2+2x+1[/tex]
Convert 10m in cm.
♡
Answer:
1000 cm
Step-by-step explanation:
Recall that 100 cm = 1 m.
This results in the conversion factor 100cm
-------------
1 m
Then 10 m times the conversion factor shown above yields 1000 cm
(First correct answer for brainliest) Find the length of JM
Answer:
JM = 18 units
Step-by-step explanation:
∆MHN and ∆JKH are similar (by A.A.A axiom)
so, their sides are proportional
i.e.
(JM+18)/(20+15) = 18/15
or, JM + 18 = 540/15
or, JM = 36-18
hence, JM = 18
Help asap, will give brainiest and lots of likes!
What is the volume of the rectangular prism?
Type the answer in the boxes below.
Answer:
[tex]3\frac{3}{4}\: \mathrm{cm^3}[/tex]
Step-by-step explanation:
The volume of a rectangular prism is given by [tex]V=l\cdot w\cdot h[/tex], where [tex]l[/tex] is the length of the prism, [tex]w[/tex] is the width of the prism, and [tex]h[/tex] is the height of the prism.
The box has a height of 3 boxes, a length of 5 boxes, and a width of 2 boxes. Since each box is 1/2 cm long, we can deduce the prism has a:
Height of 1.5 cmLength of 2.5 cmWidth of 1 cmTherefore, the volume of the prism is
[tex]V=1.5\cdot 2.5\cdot 1,\\V=3.75=\boxed{3\frac{3}{4}\: \mathrm{cm^3}}[/tex]