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3 years ago

¿Cuál es el valor de 0.1561 redondeado a la décima más cercana?

Mathematics

1 answer:

Alik [6]3 years ago

3 0

Answer: 0.2

Step-by-step explanation: Necesitamos ajustar la estimación de 0.1561 al décimo más cercano.

El número después del decimal es el número en el décimo lugar. Considere el número a un lado del lugar de las décimas y utilice el número para decidir si se reunirán o seguirán siendo el equivalente. Observe que el número a un lado del décimo lugar es mayor o equivalente a 5 o menos de 5. En el caso de que ese número sea más digno de mención o equivalente a 5, en ese punto el número se reunirá aún en la remota posibilidad de que ese número es menor de 5, en ese momento el número no se reunirá. Permanecerá igual.

Consideremos el número dado 0.1561

El número en el lugar de las décimas es 1

El número después del punto de las décimas es 5 (que es más prominente o equivalente a 5)

De esta manera, el número se reunirá en 0,2

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The Frosty Ice-Cream Shop sells sundaes for $2 and banana splits for $3. On a hot summer day, the shop sold 8 more sundaes than

svlad2 [7]

The shop sold 36 sundaes and 28 banana spilts

Solution:

Let "a" be the number of sundaes sold

Let "b" be the number of banana spilts sold

Cost of 1 sundaes = $ 2

Cost of 1 banana spilt = $ 3

On a hot summer day, the shop sold 8 more sundaes than banana splits and made $156

Therefore,

Number of sundaes sold = 8 + number of banana spilts sold

a = 8 + b ------- eqn 1

Also, given that they made $ 156

Therefore, we frame a equation as:

Number of sundaes sold x Cost of 1 sundaes + number of banana spilts sold x Cost of 1 banana spilt = 156

$a \times 2+b \times 3 = 156$

2a + 3b = 156 ---------- eqn 2

Substitute eqn 1 into eqn 2

2(8 + b) + 3b = 156

16 + 2b + 3b = 156

16 + 5b = 156

5b = 156 - 16

5b = 140

Substitute b = 28 in eqn 1

a = 8 + 28

Thus the shop sold 36 sundaes and 28 banana spilts

4 0

3 years ago

Each number in a group of natural numbers was divided by the sum of all the numbers in that same group. What is the sum of all t

schepotkina [342]

Answer:

Step-by-step explanation:

Let us consider the case of 3 numbers: x, y, and z.

Then x/x+y+z + y/x+y+z + z/x+y+z = x+y+z/x+y+z = 1

The same works also for any quantity of numbers.

5 0

2 years ago

How do you solve 10(z-2)=1+4

tamaranim1 [39]

I'm assuming you want us to solve for the unknown variable z

$10(z-2)=1+4$

Combine like terms on the right side

$10(z-2)=5$

Use the distributive property on the left side

$10z-20=5$

Add both sides by 20 to cancel out the "-20" on the left side

$10z=25$

Divide both sides by 10

$z=2.5$

That is the value of the known variable, z, in this equation. Let me know if you need any clarifications, thanks!

~ Padoru

6 0

2 years ago

Read 2 more answers

Find the radius of convergence, r, of the series. ? n2xn 7 · 14 · 21 · ? · (7n) n = 1

defon

I'm guessing the series is supposed to be

$\displaystyle\sum_{n=1}^\infty\frac{n^2x^n}{7\cdot14\cdot21\cdot\cdots\cdot(7n)}$

By the ratio test, the series converges if the following limit is less than 1.

$\displaystyle\lim_{n\to\infty}\left|\frac{\frac{(n+1)^2x^{n+1}}{7\cdot14\cdot21\cdot\cdots\cdot(7n)\cdot(7(n+1))}}{\frac{n^2x^n}{7\cdot14\cdot21\cdot\cdots\cdot(7n)}}\right|$

The first $n$ terms in the numerator's denominator cancel with the denominator's denominator:

$\displaystyle\lim_{n\to\infty}\left|\frac{\frac{(n+1)^2x^{n+1}}{7(n+1)}}{n^2x^n}\right|$

$|x^n|$ also cancels out and the remaining factor of $|x|$ can be pulled out of the limit (as it doesn't depend on $n$ ).

$\displaystyle|x|\lim_{n\to\infty}\left|\frac{\frac{(n+1)^2}{7(n+1)}}{n^2}\right|=|x|\lim_{n\to\infty}\frac{|n+1|}{7n^2}=0$

which means the series converges everywhere (independently of $x$ ), and so the radius of convergence is infinite.

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3 years ago

Please help not sure what these are

Leviafan [203]

Answer:

I believe it's the first one

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3 years ago