All categories

3 years ago

A class of 19 pupils have five more girls than girls. Let n =the number of boys

1 answer:

3 0

NO. of students = 19
Boys = n
Girls = n+5

Equation formation
n + n + 5 = 19
2 n + 5 = 19
2 n = 19 - 5
2 n = 14
n = 7

Boys = 7
Girls = 7 + 5 = 12

You might be interested in

jatonia sold n cups of lemonade at her stand for $0.75 each. she made a total of $ 18.00. Write an equation to express how many

Aleks [24]

The answer is:

0.75n = 18.00

6 0

3 years ago

Read 2 more answers

How do I factor x^2+4x+20

icang [17]

Its like x² + 4x +20 = 0,
x = [-4 + √[(4²) - (4*1*20)]]/(2*1) = [-4 + √(16-80)]/2 = [-4 + √(-64)]/2 = [-4 + 8√(-1)]/2 = -2 + 4i,
x = [-4 - √[(4²) - (4*1*20)]]/(2*1) = [-4 - √(16-80)]/2 = [-4 - √(-64)]/2 = [-4 - 8√(-1)]/2 = -2 - 4i,
here i = √(-1), its a complex number.
so solution is a complex number,
x = -2 - 4i & -2 + 4i.

8 0

3 years ago

Which expression is equivalent to6X2/3?<br> a. 12X1/2<br> b.12X1/3<br> c.6X1?3<br> d.3X2/3

Paul [167]

The answer to 6x2/3 is B. 12x1/3 your welcome : )

5 0

4 years ago

What is the value of K? 1/2k + 6 = 4K - 8 A.-4 B. -3 C. 3 B. 4

erastova [34]

You solve it like an equation and then you operate on both sides to keep equallity

3 0

4 years ago

Read 2 more answers

Hyperbola Question:

AveGali [126]

Answer:

$\dfrac{x^{2}}{1210000 } - \dfrac{y^{2}}{5759600} = 1$

Step-by-step explanation:

A hyperbola is a curve for which the difference of the distances |d₂ - d₁| of any point P from the foci is constant.

The definition leads to the equation

$\dfrac{x^{2}}{a^{2}} - \dfrac{y^{2}}{b^{2}} = 1$

1. Calculate the value of a²

Assume the neighbours are at the foci A and B.

The explosion is farther from B than from A, so it occurred on the right branch of the hyperbola.

Then AB = 1 mi = 5280 ft

and the distance from the focus to the y-axis is

c = 2640

The vertices are (±a,0).

The speed of sound is 1100 ft/s, so B is 2200 ft further from the explosion.

The distance from A to the vertex V₁ is c - a. Then

AB = 2200 + 2(c - a) = 2200 -2(2640 - 2a) = 2200 +5280- 2a = 5280

2a = 2200

a = 1100

a² = 1 210 000

2. Calculate the value of b²

$\begin{array}{rcl}a^{2} + b^{2} & = & c^{2}\\1100^{2} + b^{2} & = & 2640^{2}\\b^{2} & = & 2640^{2} - 1100^{2}\\& = & 6969600 - 1210000\\& = & \mathbf{5759600}\\\end{array}$

3. Write the equation for the hyperbola

$\mathbf{\dfrac{x^{2}}{1210000 } - \dfrac{y^{2}}{5759600}} = \mathbf{1}$

5 0

4 years ago