All categories

2 years ago

If 4 wands are equivalent to 6 rands and 24 rands are equivalent to 8 fands, how many wands are equivalent to 5 fands?

Mathematics

1 answer:

nevsk [136]2 years ago

7 0

Answer:

22.5 Wands

Step-by-step explanation:

4 wands = 6 rands -> 6*4=24 so 4*4=16 -> 16 wands = 24 rands (1 wand=1.5 rand)

24 rands = 8 fands -> 24/8 = 3 -> 3 rands = 1 fand

3 rands means 1.5*3=4.5 -> 4.5 wands = 1 fand -> 4.5*5=22.5 wands

You might be interested in

Solve the equation: w^2+7w+12=0

polet [3.4K]

Hi there!
We are given the equation w² + 7w + 12 = 0, and we are told to solve it. Well, we can first take all the factors of 12 -
1 12
2 6
3 4
Now, take the sum of each factor pair -
1, 12 = 13
2, 6 = 8
3, 4 = 7
Find which factor pair adds up to 7, and we can see that 3 and 4 add up to seven, while also having a product of 12. Therefore, since the whole equation has addition signs, we can factor the equation w² + 7w + 12 into (w + 3)(w + 4) = 0. Next, using the Zero Product Property, we can set each term to zero.
w + 3 = 0
w = -3

w + 4 = 0
w = -4
Therefore, the solution to the equation w² + 7w + 12 = 0 is w = -3, -4. Hope this helped and have a great day!

7 0

3 years ago

Solve for x: 24x + 12 = 16

vfiekz [6]

Answer:

x=1/6 or x=0.1666666667

Step-by-step explanation:

5 0

2 years ago

Write an equation of the perpendicular bisector of the segment with end points M(1,5) and N(7,-1)

vitfil [10]

The perpendicular bisector of the segment passes through the midpoint of this segment. Thus, we will initially find the midpoint P:

$P=\dfrac{(1,5)+(7,-1)}{2}=\dfrac{(8,4)}{2}=(4,2)$

Now, we will calculate the slope of the segment support line (r). After this, we will use the fact that the perpendicular bisector (p) is perpendicular to r:

$m_r=\dfrac{\Delta y}{\Delta x}=\dfrac{5-(-1)}{1-7}=\dfrac{6}{-6}\iff m_r=-1$

$p\perp r\Longrightarrow m_p\cdot m_r=-1\Longrightarrow m_p\cdot(-1)=-1\iff m_p=1$

We can calculate the equation of p by using its slope and its point P:

$y-y_P=m_p(x-x_P)\\\\
y-2=1\cdot(x-4)\\\\
y-2=x-4\\\\
\boxed{p:~~y=x-2}$

4 0

2 years ago

The standard form of the equation of a parabola is y= x2 - 8x + 29.

fomenos

Answer:

Step-by-step explanation:

Put brackets around the first two tems.

y = (x^2 - 8x) + 29

Take 1/2 coefficient of the linear term -8. Square that result. Add it inside the brackets.

1/2 (- 8) = - 4

(- 4)^2 = 16

y = (x^2 - 8x + 16) + 29

Subtract 16 outside the brackets.

y = (x^2 - 8x + 16) + 29 - 16

Do the subtraction

y = (x^2 - 8x + 16) + 13

Represent what is inside the brackets as a square.

y = ( x - 4)^2 + 13

The answer is A

7 0

2 years ago

Lisa reads 5 1/4 chapters in 4 1/2 hours. What is the unit rate in chapters per hour?

Alinara [238K]

the unit rate is 1.17 pages per hour

8 0

3 years ago

Read 2 more answers