Class A has 27 pupils and class B has 11 pupils.

Both classes sit the same maths test.

The mean score for class A is 26.

The mean score for both classes is 36.

What is the mean score (rounded to 2 DP) in the maths test for class B?

Answer: The value of x can be either 5 or 10.

Step-by-step explanation:

We are given:

Total profit, P = $5600

The given equation follows:

⇒ P = 600 + 1500x - 100x²

Putting value of P in above equation, we get:

⇒ -100x² + 1500x + 600 = 5600

⇒ -100x² + 1500x - 5000 = 0

⇒ 100x² - 1500x + 5000 = 0

Solving this equation by middle term split, we get:

⇒ 100(x² - 15x + 50) = 0

⇒ (x² - 10x - 5x + 50) = 0

⇒ x(x - 10) - 5(x -10) = 0

⇒ (x - 10)(x - 5) = 0

⇒ x = 10, 5

Hence, the value of x can be either 5 or 10.

Answer:

$18.00

Step-by-step explanation:

390.40/16 = 24.40

291.20 - 390.40 = 99.20

99.20/16 = 6.20

24.20 - 6.20 = $18.00

Answer:

Step-by-step explanation:

D is greater than -2

Answer:

A, C, D

Step-by-step explanation:

All of them have a larger x-coordinate than -2.

A = .5

C = -1

D = -1.5

Hope that this helps!

Answer: Use division to convert the fraction to a decimal: 1/4 = 1 ÷ 4 = 0.25.

Multiply by 100 to get percent value: 0.25 × 100 = 25%

Step-by-step explanation:

Answer:

the awnser is c. p-250 + p

Answer:

1/3x+16/3

Step-by-step explanation:

Perpendicular equations slope is the negative reciprocal of the original problem.

So, the slope of the new equations is 1/3

1/3(-1)+b=5

b= 16/3

Answer:

La cantidad de dinero que tiene Alicia es 6 pesos.

Step-by-step explanation:

Un sistema de ecuaciones lineales es un conjunto de dos o más ecuaciones lineales, en el cual se relacionan dos o más incógnitas.

Resolver un sistema de ecuaciones consiste en encontrar el valor de cada incógnita para que se cumplan todas las ecuaciones del sistema. Es decir, se debe buscar los valores de las incógnitas, con los cuales al reemplazar, deben dar la solución planteada en las ecuaciones.

Siendo:

Entonces el sistema de ecuaciones a resolver es:

[tex]\left \{ {{x-2=2*y} \atop {x-4=y}} \right.[/tex]

Sustituyendo la ecuación 2 en la primer ecuación:

x-2= 2*(x -4)

Resolviendo:

x -2= 2*x -2*4

x -2= 2*x -8

-2 + 8= 2*x -x

6= x

Entonces, la cantidad de dinero que tiene Alicia es 6 pesos.

Answer:

I think d is 9°.......

Step-by-step explanation:

(6d+8)°+(3d+1)°=90°

d =9°

slope intercept form = y=mx+b

m= slope

b= y-intercept

the slope is rise over run, so if the points are (1, -6) and (5, -6), the slope is 0

the y intercept is -6

y = 0x-6

or

y = -6

Answer:

5 1/6 hours

Step-by-step explanation:

Add the hours he volunteers

2 5/6 + 2 1/3

Get a common denominator of 6

2 5/6 + 2 1/3*2/2

2 5/6 + 2 2/6

4 7/6

This is an improper fraction

4 6/6 + 1/6

5 1/6

Answer:

corrieron 50 kilómetros de la escuela a la casa

Answer:

Step-by-step explanation:

the cost difference between the first truck and the second truck = $160,000-$145,000 = $15,000

the difference of gas cost between the first truck and the second truck = $0.31 - $0.26= $0.05 per mile.

so,

I think, this is a very significant number of truck cost compared with gas cost

for the best deal, the first truck is the best choice.

Hope this answer helps you :)

Have a great day

Mark brainliest

Answer:

buy truck 2  since it cheaper

, if u do it in a graph after they intersect usee that truck num 1 increases while truck num 2 decreases

Step-by-step explanation:

1.

First Truck: Y = 0.31x + 145,000

Second Truck: Y = 0.27x + 160,000

2.

Y = 0.31x + 145,000

Y = 0.27x + 160,000

- 0.31x + y = 145,000

- 0.27x + y = 160,000

- 0.31x + y = 145000

0.27x – y = -160000

- 0.04 = -15000

X=375000

- 0.31 x 375000 + y =145000

Y = 261250

(x , y) = (375000 , 261250)

Answer:

$840 dollars

Step-by-step explanation:

Divide 540 by 9 to get the cost of 1 book then multiply it by 14

Answer:

$840

Step-by-step explanation:

[tex]\frac{14}{9}: \frac{y}{540}[/tex]

y × 9 = 540 × 14

9y = 7560

9y ÷ 9 = 7560 ÷ 9

y = 840

Answer:

sorry but that will go off so need the area rl

tell it in the comments!

Answer:

12,400

Step-by-step explanation:

Let the current employees be x

65% increase in number = 0.65x

If the total number of employees after the increase is 20,460, then;

x + 0.65x = 20,460

1.65x = 20,460

x = 20,460/1.65

x = 12,400

Hence the current number of employees is 12,400

Answer:

The answer is 5

Step-by-step explanation:

Hope this answer helps you :)

Have a great day

Mark brainliest

The number of 10 bouquets sold should you expect to be lily bouquets will be 5.

A ratio is an ordered pair of numbers a and b, denoted by the symbol a / b, where b does not equal zero. A proportion is an equation that sets two ratios equal to each other.

Given that a florist sold 16 flower bouquets yesterday, including 8 lily bouquets. Based on past data. The number of bouquets sold is 10.

The number of the Lily bouquets will be calculated as:-

Number = ( 8 / 16 ) x 10

Number = ( 1 / 2)  x 10

Number = 5

To know more about ratios and proportions follow

https://brainly.com/question/2914376

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Answer:

below

Step-by-step explanation:

that is the procedure above

fraction of arc RS

ANGLE RcS = 60 °

60°/360°

=1/6

therefore the total fraction is 1/6

The fraction of the whole circle is arc RS = (1/6)

approximate circumference of the circle = 31.4 cm

approximate length of arc RS = 5.23 cm

A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point.

As per the given data:

Radius of circle with center C = 5 cm

central angle = 60°

∠RCS = 60°

To find out the fraction of the whole circle is arc RS:

arc length = radius × θ {θ is in radians}

∠RCS = 60° = 60° × (π/180°) = π/3

fraction of the whole circle = arc length / circumference

= [tex]\frac{r \times \frac{\pi}{3}}{2\pi r}[/tex] = (1/6)

approximate circumference of the circle = 2πr

= 2π(5)

= 31.4 cm

approximate length of arc RS = r × θ

= 5 × (π/3)

= 5.23 cm

Hence, the fraction of the whole circle is arc RS = (1/6)

approximate circumference of the circle = 31.4 cm

approximate length of arc RS = 5.23 cm

To learn more about circle, click:

brainly.com/question/29142813

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Answer:

The slope is 4/5 and the y intercept is -3

Step-by-step explanation:

The equation is in slope intercept form

y= mx+b where m is the slope and b is the y intercept

y = 4/5x -3

The slope is 4/5 and the y intercept is -3

Answer:

x=4.5

y=-2.5

Step-by-step explanation:

Multiply 2x-4y=19 by 3

Multiply 3x+5y=1 by 2

Solve simultaneously

Answer:

[tex]x=\frac{9}{2} =4.5, y=-\frac{5}{2} =-2.5[/tex]

Step-by-step explanation:

[tex]2x-4y=19, multi ply- by 5\\10x-20y=95 , Eq I\\3x+5y=1, multiply - by 4\\12x+20y=4, Eq II\\Add -EQI -and- EqII\\\\10x-20y+12x+20y=95+4\\22x=99\\x=\frac{99}{22}=\frac{9}{2} =4.5\\3(\frac{9}{2})+5y= 1\\5y=1-\frac{27}{2} =-\frac{25}{2}\\y=-\frac{25}{2}*\frac{1}{5} =-\frac{5}{2} =-2.5\\[/tex]

Answer:

LM = 8 cm

Step-by-step explanation:

LM = KN = x + 7

NM = KL = x + 7 + NQ = x + 7 + 2 = x + 9

KN×NM = 80

(x+7)(x+9) = 80

x² + 7x + 9x + 63 = 80

x² + 16x + 63 = 80

x² + 16x - 17 = 0

solution of a quadratic equation

x = (-b ± sqrt(b² - 4ac))/(2a)

a=1

b=16

c=-17

(-16 ± sqrt(256 + 4×17))/2 = (-16 ± sqrt(256+68))/2 =

= (-16 ± sqrt(324))/2 = (-16 ± 18)/2

x1 = (-16 + 18)/2 = 2/2 = 1

x2 = (-16 - 18)/2 = -34/2 = -17

x2 as negative value is no valid solution for a side length.

so, only x1 remand as solution.

=> x=1, LM = KN = 1+7 = 8, NM = KL = 1+9 = 10

Answer:

80 degrees

Step-by-step explanation:

angle 1 is equal to 100 because of the law of exterior angles. And since andgle 1 and 2 make 180 degrees we can subtract 80 from 100 and we get the measure of angle 2. Angle 2 and 4 are the same becasue of the law of adjacent angles.

Answer:

4) Alternate angles

Step-by-step explanation:

Alternate angles are on the opposite corners of the line of the angle, and 10 and 14 are on opposite corners, so that makes them alternate angles. I hope this helped you!

Answer:

The answer is 1/3.

Step-by-step explanation:

A coin has either heads or tails. The odds of a coin getting heads is 1/2.

There are three equal-sized sections with numbers 3, 6 and 9 on the spinner. There are two sections with numbers greater than 3, which are 6 and 9. The odds of getting a number greater than 3 is 2/3.

To find the overall probability of both incidents occurring, the two fractions are multiplied together, which is 1/2 * 2/3 = 1/3

Answer:

0.333/1/3

Step-by-step explanation:

Well, the probability of getting heads is 1/2 since there are 2 sides to a coin. There are 2 numbers on the spinner greater than three (6,9) which is 2/3.

1/2 times 2/3=0.33. The probability of getting heads and getting a number that is greater than is 0.333 or 1/3.

Answer:

Explanation: Since, a function is always the type of y= f(x), where x is independent variable and y is dependent variable which is dependent on the value of x. Here, a graph of Olivia's earning per hour is given. ... Thus, we can say that earning is dependent variable while hours is independent variable

Answer:

you have to use proportion equation