All categories

3 years ago

Need help please. Please help me.

Mathematics

1 answer:

stiv31 [10]3 years ago

6 0

Answer:

$\frac{5}{14}$

Step-by-step explanation:

It's important to note here that fractions are just another way of representing division.

Therefore, $\frac{\frac{1}{4}}{\frac{7}{10}}$ is the same thing as $\frac{1}{4} \div \frac{7}{10}$ .

To divide two fractions, we multiply by the reciprocal.

$\frac{1}{4} \cdot \frac{10}{7}$

We can now multiply the numerators and denominators.

$1\cdot 10 = 10\\7 \cdot 4 = 28\\\\\frac{10}{28}$

We can simplify this fraction by dividing both the numerator and denominator by 2.

$10\div 2 = 5\\28 \div 2 = 14$

So, $\frac{5}{14}$ .

Hope this helped!

You might be interested in

Un edificio proyecta una sombra de 7.5m.mientras que un arbol que mide 1.6 m de altura proyecta una sombra 1.85 M¿Cual es la alt

sattari [20]

Answer: The height of the building is 6.49 meters.

Step-by-step explanation:

This can be translated to:

"A building projects a 7.5 m shadow, while a tree with a height of 1.6 m projects a shadow of 1.85 m.

Which is the height of the building?"

We can conclude that the ratio between the projected shadow is and the actual height is constant for both objects, this means that if H is the height of the building, we need to have:

(height of the building)/(shadow of the building) = (height of the tree)/(shadow of the tree)

H/7.5m = 1.6m/1.85m

H = (1.6m/1.85m)*7.5m = 6.49m

The height of the building is 6.49 meters.

5 0

2 years ago

What is the inverse of the function f(x) = 2x + 1?

BaLLatris [955]

Answer:

$f^{-1} = \frac{x-1}{2}$

Step-by-step explanation:

$f(x) = 2x+1$

Replace it with y

$y = 2x+1$

Exchange the values of x and y

$x = 2y+1$

Solve for y

$x = 2y+1$

Subtracting 1 from both sides

$2y = x-1$

Dividing both sides by 2

$y = \frac{x-1}{2}$

Replace it by $f^{-1}$

So,

$f^{-1} = \frac{x-1}{2}$

3 0

3 years ago

Read 2 more answers

If you flip a fair coin 10 times and it lands heads up 5 times, this would result in 50% probability of the coin landing heads u

Shtirlitz [24]

This is an example of empirical probability, although it gives the same ratio as a theoretical probability, because we based the result on our experiment

7 0

3 years ago

According to the table, Tasha initially had blank dollars before purchasing songs, and the cost of each song was blank dollars

melomori [17]

Total money before purchasing = $30

Cost of each song = $1.20

Solution:

According to the table,

No. of songs Amount

2 27.60

3 26.40

4 25.20

Difference between amount she have after bought 3 songs to 2 songs:

27.60 – 26.40 = 1.20

Difference between amount she have after bought 4 songs to 3 songs:

26.40 – 25.20 = 1.20

So, the cost of each song = $1.20

Amount of money she had after purchasing one song = $27.60 + $1.20

= $28.80

Tasha initially had before purchasing songs = $28.80 + $1.20

= $30

Hence Tasha initially had $30 before purchasing songs and the cost of each song was $1.20.

5 0

2 years ago

Limited time . 10 points

AfilCa [17]

Answer:

Therefore the value of x is

$x=1\pm\sqrt{19}i$

Step-by-step explanation:

Given:

$x^{2}+20=2x$ which is

$x^{2}-2x+20=0$

To Find:

x = ? using Quadratic Formula

Solution:

For a Quadratic Equation ax² + bx + c = 0 , Formula Method is given as

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

On Comparing with above we get

$a=1\\b=-2\\c=20$

Substituting a , b , c in Formula method we get

$x=\dfrac{-(-2)\pm\sqrt{(-2)^{2}-4(1)(20)}}{2\times 1}\\\\x=\dfrac{2\pm\sqrt{-76}}{2}\\\\x=\dfrac{2\pm2\sqrt{19}i}{2}\\Dividing\ by\ 2\ we\ get\\\\x=1 \pm\sqrt{19}i$

Therefore the value of x is

$x=1\pm\sqrt{19}i$

8 0

3 years ago