Solve the equation.
2/3-4x+7/2=-9x+5/6

Answer: 36 Students picked football

Step-by-step explanation: When calculating values by the use of given ratios, it is important to note that the ratio of one value as compared to the other is the same as the actual value compared to the other.

The ratio of students who picked rugby and tennis is given as ratio 9 : 19, which means for every 28 students (that was derived by 9 + 19), 9 would choose rugby and 19 would choose tennis. However, we have been given the total number of students who chose tennis as 57, hence the value 57 would now replace the ratio of 19. However the total number of those who chose rugby is not yet known, so we can write out an equation as shown below;

19/28 = t/x

Where t is the number of tennis players as represented by ratio 19 and x is the total number of both tennis and rugby players as represented by 28.

By cross multiplication we now have

19 * x = 28 * 57

x = (28 * 57)/19

x = 1596/19

x = 84

If a total of 84 students play both rugby and tennis, and 57 of them play only tennis, then the number of rugby players is derived as

r = x - t

r = 84 - 57

r = 27

Having determined that 27 students played rugby, and the ratio of football to rugby players is given as 4 : 3, the relationship can be mathematically represented as follows;

3/7 = r/y

Where r is the total number of rugby players and y is the total number of both football and rugby players

3/7 = 27/y

By cross multiplication you now have

3 * y = 7 * 27

y = (7 * 27)/3

y = 189/3

y = 63

If the total number of football and rugby players is 63 and out of these 27 play rugby only, then the number of football players is derived as;

f = y - r

f = 63 - 27

f = 36

Therefore the number of students who chose football is 36

Answer:

85

Step-by-step explanation:

The sum of the angles of a triangle are 180 degrees

A + B+ C = 180

A +72+ 23 = 180

Combine like terms

A + 95  = 180

Subtract  95  from each side

A +95-95 = 180-95

A =85

Answer:

C = 10 π cm

Step-by-step explanation:

Diameter is 2 x radius = 2*5.4 = 10.8 cm

radius r = 5 cm

diameter d = 10 cm

circumference C = 31.4 cm

area A = 78.5 cm2

In Terms of Pi π

circumference C = 10 π cm

area A = 25 π cm²

Formulas: Circle Formulas in terms of Pi π, radius r, and diameter d

Radius and Diameter:

r = d/2

d = 2r

Area of a circle:

A = πr2 = πd2/4

Circumference of a circle:

C = 2πr = πd

Answer:

c

Step-by-step explanation:

got it right on my test

Answer:

The answer to this problem would be :

-2y^2-y-5

Answer:

[tex]E(x)=-0.2101[/tex]

Step-by-step explanation:

The expected value for a discrete variable is calculated as:

[tex]E(x)=x_1*p(x_1)+x_2*p(x_2)[/tex]

Where [tex]x_1[/tex] and [tex]x_2[/tex] are the values that the variable can take and [tex]p(x_1)[/tex] and [tex]p(x_2)[/tex] are their respective probabilities.

So, a player can win 2 dollars or looses 1 dollar, it means that [tex]x_1[/tex] is equal to 2 and [tex]x_2[/tex] is equal to -1.

Then, we need to calculated the probability that the player win 2 dollars and the probability that the player loses 1 dollar.

If there are n identical and independent events with a probability p of success and a probability (1-p) of fail, the probability that a events from the n are success are equal to:

[tex]P(a)=nCa*p^a*(1-p)^{n-a}[/tex]

Where [tex]nCa=\frac{n!}{a!(n-a)!}[/tex]

So, in this case, n is number of times that the player tosses a die and p is the probability to get a 6. n is equal to 6 and p is equal to 1/6.

Therefore, the probability  [tex]p(x_1)[/tex] that a player get at least two times number 6, is calculated as:

[tex]p(x_1)=P(x\geq2)=1-P(0)-P(1) \\\\P(0) =6C0*(1/6)^{0}*(5/6)^{6}=0.3349\\P(1)=6C1*(1/6)^{1}*(5/6)^{5}=0.4018\\\\p(x_1)=1-0.3349-0.4018\\p(x_1)=0.2633[/tex]

On the other hand, the probability [tex]p(x_2)[/tex] that a player don't get  at least two times number 6, is calculated as:

[tex]p(x_2)=1-p(x_1)=1-0.2633=0.7367[/tex]

Finally, the expected value of the amount that the player wins is:

[tex]E(x)=x_1*p(x_1)+x_2*p(x_2)\\E(x)=2*(0.2633)+ (-1)*0.7367\\E(x)=-0.2101[/tex]

It means that he can expect to loses 0.2101 dollars.

Answer:

Expected value = -0.2101

Step-by-step explanation :

Givena discrete variable the expected value is given as:

E(x) = xp(x) + yp(y)

Where x and y are the values the variables can assume, and p(x) and p(y) are their respective probabilities.

Probability that a player gets 6 at least twice = p(x ≥ 2) = 1 - p(x≤ 2)

= 1 - p(0) - p(1)

But p(0) = 0.3349

p(1) = 0.4018

p(x ≥ 2) = 1 - 0.3349 - 0.4018

= 0.2633

p(y) = 1 - p(x)

= 1 - 0.2633

= 0.7367

Expected value = 2(0.2633) + (-1)(0.7367)

= -0.2101

A loss of $0.2101 is expected.

Answer:

see explanation

Step-by-step explanation:

To find solutions to the equation, choose any value for x, substitute into the equation and evaluate for y, that is

x = - 1 → y = 5(- 1) = - 5 ⇒ (- 1, - 5 )

x = 0 → y = 5(0) = 0 ⇒ (0, 0 )

x = 1 → y = 5(1) = 5 ⇒ (1, 5 )

x = 5 → y = 5(5) = 25 ⇒ (5, 25 )

Thus 4 solutions are

(- 1, - 5), (0, 0), (1, 5), (5, 25)

Answer:

5 Ones dollar bills

3 five dollar bills

2 ten dollar bills

Step-by-step explanation:

Answer:

the set of all the real values which are strictly greater than zero which is all positive real numbers

Step-by-step explanation:

In interval notation: (0, ∞)

Any exponential function with a positive base and positive multiplier will have a horizontal asymptote at y=0 and will extend to +∞. That's what this one does.

Range of a function--

The range of a function is the set of all the values that are attained by a function.

We are asked to find the range of the function f(x)

the set of all the real values which are strictly greater than zero

x > 0

please mark me brainliest :)

Answer:

The plans will cost the same for $260 minutes of calling.  These minutes will cost $52.20

Step-by-step explanation:

Plan A:  $8 + ($0.17/min)t

Plan B:  $21 + ($0.12/min)t

Equate these, obtaining $8 + ($0.17/min)t = $21 + ($0.12/min)t, or:

($0.17/min)t - ($0.12/min)t = $13, or

($0.05/min)t = $13 , so t = 260 minutes.  The plans will cost the same for $260 minutes of calling.

Find the cost in this situation:  It is $21 + ($0.12/min)(260 min), or $52.20

Answer:

A

x= 3/x

Step-by-step explanation:

5kx + 6 = 7kx

collect like term

5kx - 7kx = -6

-2kx = -6

minus cancel out

=> 2kx = 6

divide bothside by 2k

=> x = 6/2k

=> x = 3/k

Answer:

Step-by-step explanation:

its A just trust :)

Answer:

20 miles

Step-by-step explanation:

Answer:

It's constant

Step-by-step explanation:

at those points, the graph is going ---------------- so, it is constant.

// have a great day //

Answer: No. the remote control car traveled 2 miles per hour whereas a car typically travels between 30 miles per hour and 60 miles per hour.

Step-by-step explanation:

[tex]\dfrac{115\ inches}{3.21\ seconds}\times \dfrac{1\ foot}{12\ inches}\times \dfrac{1\ mile}{5280\ feet}\times \dfrac{60\ seconds}{1\ minute}\times \dfrac{60\ minutes}{1\ hour}\\ \\\\=\dfrac{414,000\ miles}{203,385.6\ hours}\\\\\\=\dfrac{2.0\ miles}{1\ hour}[/tex]

Speed of Courtney's remote control car is: 2 mph

Courtney's remote control car is slower than an average freeway car  since averagely the speed of a car on the freeway is usually 60 mph.

Given that:

Distance covered by Courtney's car = 115 inches

Time taken to cover that distance = 3.21 seconds

Converting inches to miles and seconds to hours:

[tex]1 inch \approx 0.0000158 miles\\115 inches = 115 \times 0.000158 miles\\=\approx 0.00182 miles\\\\3.21 seconds = \dfrac{1}{3600} \times 3.21 \: hours\\= 0.00089 \: hours\\[/tex]

Thus speed of Courtney's car can be calculated as

[tex]Speed = \dfrac{distance}{time}\\\\= \dfrac{0.00182}{0.00089} mph\\\\= 2.089 mph \approx 2 mph[/tex]

Thus Speed of Courtney's car is approx 2 miles per hour whereas the average speed of a car on a freeway is about 60 miles per hour.

Learn more here:

https://brainly.com/question/11583742

Answer:

25 degrees below zero, -3, 32, 34, 78

Answer: FALSE

You get y = 2x +4 so the slope is 2. Perpendicular lines have opposite-reciprocal slopes, so the slope of the line we want to find is -1/2.

Answer:

59.09%

Step-by-step explanation:

You find it through the following formula:

Part divided by whole times 100.

Substitute it and you get the answer:

130 / 220 times 100 = 59.09

Answer:

0.1875 as a decimal and 18.75% as a percent

Step-by-step explanation:

0.1875 is the decimal. Move point over 2 spots right to get percent.

Answer:4x+32+5x-15

Step-by-step explanation: that’s the simplified equation, you would just have to distribute the 4 to its own equation and the 5 into its own equation.. but i think the second part of ur question is missing..

Answer:

C. 9x+17

Step-by-step explanation:

Answer:

0.12 miles per minute

Step-by-step explanation:

9/75 is 0.12. 9 miles in 75 minutes

Average speed of Jacob is 0.12 miles per minute.

Unitary method is a method of finding value of a single unit.After finding value of a single unit we can determine values of any given unit.

According to the given question Jacob can run 9 miles in 1 hour and

15 minutes.

We know 1 hour is 60 minutes.

∴ 1 hour and 15 minutes is

= (60 + 15) minutes.

= 75 minutes.

So, Jacob can run 9 miles in 75 minutes.

∴ In one minute Jacob can run 9/75 miles shich is

= 0.12 miles per minute.

learn more about unitary method here :

https://brainly.com/question/14793162

#SPJ2

Answer:

É necessário dividir por 3 para calcular a média simples das 3 notas.

Média = 7.

Step-by-step explanation:

O resultado deve ser dividido por três porque três notas com pesos iguais (projeto, prova e trabalho em grupo) foram somadas, portanto para calcular a média bimestral de Laura, a soma das três notas deve ser dividida por 3. A média de Laura é:

[tex]M=\frac{5,0+6,5+9,5}{3}\\ M=7[/tex]

Answer:

The first option

Step-by-step explanation:

To get your answer you have to divide 5 and 4 and another way to write the answer is 5/4.

Answer: it is 1/4

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

There are inverses for sine, cosine, tangent, secant, cosecant, and cotangent.

Answer:

C: .94

Step-by-step explanation:

7e^x=18

x=ln(18/7)

x=ln(2.5714)

x=.94

Answer:

Model B or 1/3 of the Pizza

Answer:

1/3

Step-by-step explanation:

model 1/3

Answer:

m=1/7x

Step-by-step explanation:

Answer:

[tex] slope= \frac{1}{7} [/tex]

Step-by-step explanation:

[tex](3 \: \: \: \: \: \: \: 2) = > (x1 \: \: \: \: \: \: \: x2)\\ (10 \: \: \: \: 3) = > (y1 \: \: \: \: \: \: \: y2)[/tex]

[tex]slope \\ = \frac{y1 - y2}{x1 - x2} \\ = \frac{2 - 3}{3 - 10} \\ = \frac{ - 1}{ - 7} \\ = \frac{1}{7} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!