The total number of blue cards in the game = 48
Step-by-step explanation:
Total number of blue and yellow cards = 84
let the blue card denote B and yellow card as Y
B = 4
Y = 3
Total number of cards in one round = 7
number of rounds possible = total number of cards / number of cards in one round
= 84/7
= 12
number of blue cards = 12 x 4
= 48
The total number of blue cards in the game = 48
Answer:
48
Step-by-step explanation:
A particle travels in a circle around a fixed point at 16 revolutions per minute. The linear velocity of the particle is 240pi inches per minute.
What is the distance, in inches, between the particle and the fixed point?
Answer:
7.5 inches.
Step-by-step explanation:
Angular velocity (ω) in radians per minute
= 16* 2π (as there are 2π radians in 1 revolution)
= 32π radians per minute.
= ω.
Linear velocity V = ω r where r = the radius of the circle.
Therefore: 240π = 32π r
r = 240 / 32
r = 7.5 inches.
3.14(6x)^2
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Which is equivalent to a 270° clockwise
rotation about the origin?
O A. a 90° counterclockwise rotation
about the origin
OB. a 180° counterclockwise rotation
about the origin
O c. a 270° counterclockwise rotation.
about the origin
O D. a 360° counterclockwise rotation
about the origin
what is formula of sec(A+B)
Answer:
(cos a cos b - sin a sin b)
Step-by-step explanation:
It's easy
Find the volume of a sphere with a radius of 4 ft.
A. 33.5 ft^3
B. 67.0 ft^3
C. 267.9 ft^3
D. 803.8 ft^3
Answer:
≈268.08 [tex]ft^{3}[/tex]
C. 267.9 [tex]ft^{3}[/tex]
Step-by-step explanation:
Equation of volume of a sphere:
V=[tex]\frac{4}{3} \pi r^{2}[/tex]Plug in radius (r) into the equation:
V=[tex]\frac{4}{3} \pi (4)^{2}[/tex]Solve using a calculator:
≈268.08 [tex]ft^{3}[/tex]
y=11 + x
5x+2y= -6
What is the answer
X=3.1:
Step-by-step explanation:
The manager of an amusement park recorded the number of visitors to the park. There were 800 visitors on Saturday, and 1,100 visitors on Sunday. What is the percent change from the number of park visitors on Saturday to the number of park visitors on Sunday?
Answer: [tex]Percent\ change=37.5\%[/tex] (It is an increase)
Step-by-step explanation:
You need to use the following formula to find the Percent change:
[tex]Percent\ change=\frac{V_2-V_1}{|V_1|}*100[/tex]
Where [tex]V_1[/tex] is the Initial value and [tex]V_2[/tex] is the Final value.
According to the information given in the exercise, there were 800 visitors on Saturday and 1,100 visitors on Sunday. Then, you can identify that:
[tex]V_1=800\\\\V_2=1,100[/tex]
Then, knowing these values, you must substitute them into the formula:
[tex]Percent\ change=\frac{1,100-800}{|800|}*100[/tex]
Finally, you must evaluate in order to find the Percent change from the number of park visitors on Saturday to the number of park visitors on Sunday.
You get that this is:
[tex]Percent\ change=\frac{300}{|800|}*100\\\\Percent\ change=37.5\%[/tex]
Since it is positive, it is an increase.
Answer:
37.5 percent
Step-by-step explanation:
9. Lucas is in a car traveling at 15 m/s. This car starts to decelerate
steadily. It comes to a complete stop in 10 seconds. What is it's
acceleration?
Answer:
3/2 m / sec²
Step-by-step explanation:
acceleration = change in velocity / time
Here, that would be
acc'n = 15 m/s / 10 s = 3/2 m / sec²
Solving systems of equations y=-3x+4 and x=2y+6
Answer:
Therefore x=2 and y=-2Step-by-step explanation:
Given system of equations are
y= -3x+4
⇔3x+y=4 .........(1)
x= 2y+6
⇔x-2y=6...........(2)
Equation (1) ×2 +equation (2)
6x +2y+x-2y =8+6
⇔7x=14
[tex]\Leftrightarrow x= \frac{14}{7}[/tex]
⇔x = 2
Putting the value of x in equation (1)
3.2+y=4
⇔y+6=4
⇔y=4-6
⇔y=-2
Therefore x=2 and y=-2
3 x + 2 (4 + 6 x ) =113
Answer:
x=7
Step-by-step explanation:
3x + 2(4 + 6x)= 113
you multiply 2 to 4 that gives you 8 and 2 to 6 that gives you 12x because the 6 has x on it
so it will be 3x + 8 + 12x= 113 then you add 3x to 12x
then you would have 15x+8=113 then subtract 8 to 113 then divide that number to 15 and you get x=7
Ethan had $8 more than Dakota. Ethan then gave 1/4 of his money to Dakota. The ratio of money Ethan had to the money Dakota had became 5:2. How much money did Ethan five to Dakota?
Final answer:
To find how much money Ethan gave to Dakota, we need to set up and solve an equation based on the given conditions, include the initial difference of $8, the 1/4 transfer of funds, and the resulting 5:2 ratio of their money.
Explanation:
Ethan had $8 more than Dakota. When he gave 1/4 of his money to Dakota, the ratio of Ethan's money to Dakota's became 5:2. To solve this, let's assume Dakota originally had D dollars and Ethan had D + 8 dollars. After giving away 1/4 of his money to Dakota, Ethan would have 3/4 of D + 8, and Dakota would have D plus 1/4 of D + 8.
The new ratio of Ethan's money to Dakota's money is 5/2, leading us to the equation 3/4(D + 8) / (D + 1/4(D + 8)) = 5/2. Solving this equation will not only give us the initial amounts of money each person had but also allow us to calculate the exact amount Ethan gave to Dakota, which is the 1/4 of Ethan's original money.
Amira has two toy cars one toy car has a mass of 276 grams and the other has a mass of 180 grams
Answer:
the total mass is 456 grams.
Step-by-step explanation:
y=-3x + 6
y=9
What is the solution to the system of equations
Answer:
the answer is x=-1 and y=9. Hope this helps!
PLEASE GIVE BRAINLEST
48 guests are attending the super bowl party. 6/8 of them attended the party last year. How many guests are attending the party for the first time?
Answer:
36.
Step-by-step explanation:
6 times 6 equals 36.
The length of a rectangle is 1 more meter than twice its width. The rectangle has an area of 1275 m².
Let w represent the width of the rectangle. What quadratic equation, in standard form, represents this situation?
Answer: _____________________________
The length of a rectangle is 1 more meter than twice its width. The rectangle has an area of 1275 m².
What is the length of the rectangle? Show your work.
A. 1 m
B. 21 m
C. 25 m
D. 51 m
are all rhombus are squares
They are not all squares because a rhombus has all sides of equal length, but NO right angles. A square is a rhombus WITH right angles.
Hope that clears things up.
Which is 5logx+6log(x + 7) written as a single logarithm?
[tex]\bf \begin{array}{llll} \textit{logarithm of factors} \\\\ \log_a(xy)\implies \log_a(x)+\log_a(y) \end{array}~\hfill \begin{array}{llll} \textit{Logarithm of exponentials} \\\\ \log_a\left( x^b \right)\implies b\cdot \log_a(x) \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ 5\log(x)+6\log(x+7)\implies \log(x^5)+\log\left[ \left( x+7 \right)^6 \right] \implies \log\left[ x^5\left( x+7 \right)^6 \right][/tex]
Answer: log(x^5(x+7)^6)
Hope that helps! (:
sum of the 5th and 10th terms of an arithmetic sequence which are equal to the 20th term (80). find the 30th term
Yo sup??
a5=a+4d
a10=a+9d
a20=80=a+19d
a+4d+a+9d=a+19d
a=6d
80=6d+19d
80=25d
d=3.2
a=19.2
a30=a+29d
=19.2+92.8
=112
Hope this helps.
Express each ratio as a fraction in simplest form. A 26:169 B 36 to 78
The ratios 26:169 and 36 to 78, when expressed as fractions in simplest form, are 2/13 and 6/13, respectively, after identifying and dividing by their greatest common factors.
The task is to express each ratio as a fraction in its simplest form. Let's tackle each ratio one at a time.
A. 26:169
To convert the ratio 26:169 into a fraction in simplest form, we observe that both numbers are divisible by their greatest common factor (GCF), which is 26. Dividing both terms by 26, we get 1/6.5. However, to express this in terms of whole numbers, multiplying numerator and denominator by 2 gives us 2/13, which is the fraction in its simplest form.
B. 36 to 78
For the ratio 36 to 78, first, we convert it into fraction form, which is 36/78. The GCF of 36 and 78 is 6. Dividing both the numerator and the denominator by 6, we get 6/13. Therefore, the simplest form of the ratio 36 to 78 is 6/13.
Which parent function is represented by the graph?
107
0
A. Absolute value parent function
B. An exponential parent function
c. Quadratic parent function
D. Linear parent function
Answer:
b is right on plato
Step-by-step explanation:
Answer: Correct answer is B
Step-by-step explanation:
Si tomas sale de Ixtapa a las 6:00 am rumbo a Morelia a una velocidad de 70 kmxh ,a la misma hora Claudia sale de Morelia rumbo a Ixtapa a una velocidad de 40 kmxh si entre Morelia e Ixtapa hay una distancia de 660km a que distancia de Morelia se encontraran?
Answer:
El encuentro se producirá a 240 km de Morelia
Step-by-step explanation:
Velocidades Relativas
Este es un caso donde las velocidades son sumativas, pues ambos móviles van a su encuentro mútuo. La distancia total de 660 km será cubierta por ambos móviles con una velocidad relativa de 70 km/h + 40 km/h = 110 km/h
Ya que :
[tex]\displaystyle v=\frac{x}{t}[/tex]
Tenemos que
[tex]\displaystyle t=\frac{x}{v}[/tex]
[tex]\displaystyle t=\frac{660}{110}= 6 \ h[/tex]
Tomás anda a 70 km/h, así que en 6 horas recorre
[tex]x_t=6\times 70 = 420\ Km[/tex]
Claudia anda a 40 km/h, así que en las mismas 6 horas ha recorrido
[tex]x_c=6\times 40 = 240\ Km[/tex]
Se puede decir entonces, que el encuentro se producirá a 240 km de Morelia
Answer:
[tex]\large\boxed{\large\boxed{240km}}[/tex]
Explanation:
Since the question is in Spanish, I will give you the answer in Spanish.
En el punto de encuentro las distancias recorridas por Tomás y Claudia suman la distancia que existe entre Ixtapa y Morelia.
La distancia que recorre cada uno es igual al producto de su velocidad por el tiempo de recorrido.
Para Tomás esto es:[tex]distancia=velocidad\times tiempo\\ \\ d_{Tomas}=70km/h\times t[/tex]
Para Claudia la ecuación es:[tex]distancia=velocidad\times tiempo\\ \\ d_{Claudia}=40km/h\times t[/tex]
Los tiempos, [tex]t[/tex] , son los mismos al momento de encuentro, así que puedes crear una ecuación con una sola incógnita:
[tex]d_{Tomas}+d_{Claudia}=660Km=70km/h\times t+40km/h\times t[/tex]
Puedes obviar las unidades para resolver la ecuación:
[tex]660=70t+40t\\ \\ 660=110t\\ \\ 660/110=t\\ \\ 6=t\\\\ t=6[/tex]
El resultado es en horas: t = 6 horas.
Para encontrar la distancia remplaza el tiempo en la ecuación de Claudia, puesto que ella salió desde la ubicación de Morelia:[tex]d_{Claudia}=40km/h\times t=40km/h\times6h=240km[/tex]
Y esa es la respuesta. Se encontrarán a 240 km de Morelia.
Trying to prepare a budget. Chester has done research and found that he spends an average of $120 on his phone/internet/cable service, $277 on his electric bill, and
$299 on his health insurance premium. If he earns $2800 per month, estimate the amount of money he will have after paying these bills each month.
After adding his phone/internet/cable, electric bill, and health insurance premium costs, Chester spends $696 on bills each month. With monthly earnings of $2800, he therefore should have around $2104 left over after paying these bills.
Explanation:To figure out how much money Chester will have left after paying his bills, you first have to add up all his bills. So, he pays on average $120 for his phone/internet/cable service, $277 for his electric bill, and $299 for his health insurance premium.
To add these together: 120 + 277 + 299 = $696. This is the total amount Chester pays for his bills each month.
Now, subtract this total from Chester's monthly earnings. So, Chester earns $2800 per month, and his bills total $696. So, 2800 - 696 = $2104. Therefore, Chester will have around $2104 left each month after paying these bills.
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While shopping for clothes, Tracy spent $38 less than 3 times what Daniel spent. Write and solve an equation to find how much Daniel spent. Let x represent how much Daniel spent.
Answer:
Step-by-step explanation:
first you find that it is t=Tracy and d= Daniel
so the equation is t= d-38*3 now find the answer
Daniel spent $16.
Let's denote the amount Daniel spent as x dollars.
According to the given information, Tracy spent $38 less than 3 times what Daniel spent. Therefore, Tracy's expenditure can be represented as [tex]\( 3x - 38 \)[/tex] dollars.
Given that Tracy spent $10, we can set up the equation:
[tex]\[ 3x - 38 = 10 \][/tex]
Now, let's solve for x:
[tex]\[ 3x = 10 + 38 \][/tex]
[tex]\[ 3x = 48 \][/tex]
[tex]\[ x = \frac{48}{3} \][/tex]
[tex]\[ x = 16 \][/tex]
So, Daniel spent $16.
The complete Question is given below:
While shopping for clothes, tracy spent $38 less than 3 times what daniel spent. write and solve an equation to find out how much daniel spent. let x represent how much daniel spnet. tracy spent 10$
What is the answer to this question
Answer:
π
Step-by-step explanation:
The integral decomposes into the sum ...
[tex]\displaystyle\int_{-2}^2{\left(x^3\cos{\dfrac{x}{2}}\right)\sqrt{4-x^2}}\, dx+\dfrac{1}{2}\int_{-2}^2{\sqrt{4-x^2}}\, dx[/tex]
The first term of this sum is the integral of an odd function, so is zero. The second term of this sum is 1/2 the area under a semicircle of radius 2, so is ...
A = (1/2)(1/2)π·2² = π
The value of the integral is π.
Combine and simplify these radicals.
√8* √ 20
Answer:
4√10
Step-by-step explanation:
√(8) √(20)
= √(8 x 20)
= √(160)
= √(16 x 10)
= √(16) x √(10)
= 4 x √10
= 4√10
Answer:
4[tex]\sqrt{10}[/tex]
Step-by-step explanation:
Using the rule of radicals
[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]
Given
[tex]\sqrt{8}[/tex] × [tex]\sqrt{20}[/tex]
= [tex]\sqrt{8(20)}[/tex]
= [tex]\sqrt{160}[/tex]
= [tex]\sqrt{16(10)}[/tex]
= [tex]\sqrt{16}[/tex] × [tex]\sqrt{10}[/tex]
= 4[tex]\sqrt{10}[/tex]
Find the volume of the right circular cylinder when the circumference of it’s circular base is 44 cm and It’x height is 10 cm.
The volume of the cylinder is [tex]1539 cm^3[/tex]
Step-by-step explanation:
The volume of a cylinder is given by the equation
[tex]V=\pi r^2 h[/tex]
where
[tex]\pi r^2[/tex] is the area of the base, with r being the radius
h is the height
For the cylinder in this problem we know:
h = 10 cm (height)
c = 44 cm (circumference of the base)
The circumference is given by
[tex]c=2\pi r[/tex]
So the radius is
[tex]r=\frac{c}{2\pi}=\frac{44}{2\pi}=7 cm[/tex]
Therefore, the volume of the cylinder is:
[tex]V=\pi (7)^2 (10)=1539 cm^3[/tex]
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Describe in words what 250=72 + x means
Answer: x= 178. Meaning that x can only equal 178, so that statement can be true. Any other number makes this statement false.
Step-by-step explanation:
Answer:
Lemme break it down for ya. Something plus seventy- two equal two hundred fifty. And if you want or need the answer, all you got to do is subtract 250 and 72. You're welcome. And please follow me.
How long does it take for the Earth to go through one full day/night cycle?
Round to the nearest hour.
________hour(s)
Answer:
24 hours
Step-by-step explanation:
x-2y=8
4x+y=5
Solve linear systems by Multiplying
Step-by-step explanation:
The given system of linear equations:
x - 2y = 8 ........ (1)
and 4x + y = 5 ........ (2)
To find, the values of x and y = ?
Multiplying equation (2) by 2, we get
2(4x + y) = 5 × 2
⇒ 8x + 2y = 10 ........ (3)
Adding equations (1) and (3), we get
x - 2y + (8x + 2y) = 8 + 10
⇒ x - 2y + 8x + 2y = 8 + 10
⇒ 9x = 18
⇒ x = 2
Put x = 2 in (1), we get
2 - 2y = 8
⇒ 2y =2 - 8
⇒ 2y = - 6
⇒ y = - 3
∴ x = 2 and y = - 3
9. Date Units Purchased Cost Per Unit
January 1
$8.00 (Beginning inventory)
January 18
9.00
February 20
11.00
March 15
12.00 (Ending inventory: 19)
The value of the ending inventory based on FIFO is
$196.00.
$126.00.
$216.00.
$219.00.
Answer:
$219.00.
Step-by-step explanation:
January 1, 10 units @ $8 (10 x 8) = $80
January 18, 50 units @ $9 (50 x 9) = $450
February 20, 20 units @ $11 (20 x 11) = $220
March 15, 10 units @ $12 (10 x 12) = 120
Ending Inventory = 19 unit
Ending Inventory = (10 x12) + (9 x 11) = $219
Answer:
$219.00 (or $220.00 because it's closest option to $219.00)
Step-by-step explanation: