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2 years ago

Which number sentence is true?

Mathematics

1 answer:

Ilya [14]2 years ago

8 0

The first one (when simplify) is

5.6>8.91

Which is not true if you plot it on a number line

The second one (when simplify) is

5.6<-8.91

which is not true because it is the same thing as number 1

The third one (when simplify) is

-5.6>8.91

which is obviously not true since negatives are way smaller than positives

So that leaves us the last one

Thefore the answer is OD.

I hope this helped!!

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Help please!!! Find the sum of the series show your work

AleksAgata [21]

Answer:

$\sum_{i=1}^{12}(3i-1) = 222$

Step-by-step explanation:

The given series is

$\sum_{i=1}^{12}(3i-1)$

The first term is

$f(1) = 3 \times 1 - 1 = 2$

The last term is

$f(12) = 3 \times 12 - 1 = 35$

To find the number of terms in the sequence, solve,

$3i - 1 = 35$

$3i = 36 \\ i = 12$

The sum of the first i-terms of an arithmetic sequence is:

$S_i = \frac{i}{2} (f(1) + f(2))$

We substitute the values to get;

$S_ {12}= \frac{12}{2} (2+ 35)$

$S_ {12}=6(37)$

$S_ {12}= 222$

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4 years ago

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mamaluj [8]

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3 years ago

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Answer:

<h2>hope it helps you see the attachment for further information </h2>

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3 years ago

Un estudiante debe recorrer dos tercios de kilómetro para llegar al colegio, si avanza medio kilómetro en bus y lo demás a pie ¿

Murljashka [212]

Answer:

Al estudiante le falta caminar $\frac{1}{3}$ de kilómetro.

Step-by-step explanation:

Un estudiante debe recorrer dos tercios de kilómetro para llegar al colegio. Dos tercios equivale a la fracción $\frac{2}{3}$ .

El estudiante avanza medio kilómetro en bus. Un medio equivale a la fracción $\frac{1}{2}$ , por lo tanto un medio es la mitad de una cantidad. Para calcular la distancia recorrida en bus se realiza la siguiente multiplicación:

$\frac{1}{2} *\frac{2}{3}$

Resolviendo:

$\frac{1}{2} *\frac{2}{3} =\frac{1*2}{2*3} =\frac{2}{6} =\frac{1}{3}$

Entonces, la distancia recorrida en bus es $\frac{1}{3}$ de kilómetro.

Para calcular la distancia recorrida a pie se calcula la diferencia entre la distancia total a recorrer por el estudiante y la distancia recorrida en bus. Esto es:

$\frac{2}{3} - \frac{1}{3}$

Resolviendo:

$\frac{2}{3} - \frac{1}{3}=\frac{2-1}{3} =\frac{1}{3}$

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