All categories

3 years ago

Divide 30cm into the ratio 2:4

2 answers:

8 0

First you add the two parts of the ratio.
2 + 4 = 6

then you divide

30 / 6 = 5

then you multiply into the original ratio

(2 x 5) : (4 x 5)

10 : 20

Verizon [17]3 years ago

7 0

Hey there, 30:15, 2:4 simplified is 1:2, 15*2=30 and 1*30=30,

You might be interested in

7. Use the quadratic formula to find the solution(s). x² + 2x - 8 = 0

morpeh [17]

Hey there!

Use the quadratic formula to find the solution(s). x² + 2x - 8 = 0

Answer :

x = -4 or x = 2 ✅

Explanation :

Quadratic formula : ax² + bx + c = 0 where a ≠ 0

The number of real-number solutions (roots) is determined by the discriminant (b² - 4ac) :

If b² - 4ac > 0 , There are 2 real-number solutions

If b² - 4ac = 0 , There is 1 real-number solution.

If b² - 4ac < 0 , There is no real-number solution.

The roots of the equation are determined by the following calculation:

$x = \frac{ - b \pm \sqrt{ {b}^{2} - 4ac } }{2a}$

Here, we have :

a = 1
b = 2
c = -8

1) Calculate the discriminant :

b² - 4ac ⇔ 2² - 4(1)(-8) ⇔ 4 - (-32) ⇔ 36

b² - 4ac = 36 > 0 ; The equation admits two real-number solutions

2) Calculate the roots of the equation:

▪️ (1)

$x_1 = \frac{ - b - \sqrt{ {b}^{2} - 4ac} }{2a} \\ \\ x_1 = \frac{ - 2 - \sqrt{36} }{2(1) } \\ \\ x_1 = \frac{ - 2 - 6}{2} \\ \\ x_1 = \frac{ - 8}{2} \\ \\ \blue{\boxed{\red{x_1 = -4}}}$

▪️ (2)

$x_2 = \frac{ - b + \sqrt{ {b}^{2} - 4ac } }{2a} \\ \\ x_2 = \frac{ - 2 + \sqrt{36} }{2(1)} \\ \\ x_2 = \frac{ - 2 + 6}{2} \\ \\ x_2 = \frac{4}{2} \\ \\ \red{\boxed{\blue{x_2 = 2}}}$

>> Therefore, your answers are x = -4 or x = 2.

Learn more about quadratic equations:

brainly.com/question/27638369

6 0

2 years ago

Read 2 more answers

It's been a while since I've taken a math class and I'm stressed please help me out. The question is circled.

brilliants [131]

-3/2x

The rational expression would not be defined only when the denominator is divided by 0

That is:

2x =0

x = 0/2

x =0

Hence it would not be defined when x = 0.

Hope this helps.

8 0

3 years ago

Read 2 more answers

8 +2/3 (6x + 30) = 80

amid [387]

Answer:

X=13

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

5 0

2 years ago

The radius of a circle measures 15 feet. what is the circumference?

harina [27]

The circumference of this circle is c=94.25ft

7 0

3 years ago

There are 568 kiloliters of soup in a pot. How many liters of liquid did the chef use for this recipe?

Georgia [21]

Answer:

568,000L

Step-by-step explanation:

1 Kiloliter = 1,000 Liters

568 x 1,000 = 568,000

3 0

3 years ago