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2 years ago

Use the associative property of addition to find the total of 4,12 and 18

Mathematics

1 answer:

Dahasolnce [82]2 years ago

4 0

Answer:

The correct answer is the alternative because the associative property of the sum states that despite of how the numbers are grouped, the result is not affected

Step-by-step explanation:

4 + 12+ 18 = (4+12)+18 --> one form to be grouped (note parenthesis) = 4 + (12 +18) --> Second form to be grouped

Hence:

(4+12)+18 = 4+(12+18) (Associative property)

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Find the indicated sum of each sequence S8 of -2,-13,-24,-35

valentina_108 [34]

Answer:

The sum of the arithmetic sequence is $S_{8}=-324$ .

Step-by-step explanation:

A sequence is a set of numbers that are in order.

In an arithmetic sequence the difference between one term and the next is a constant. In other words, we just add the same value each time infinitely.

If the first term of an arithmetic sequence is $a_1$ and the common difference is d, then the nth term of the sequence is given by:

$a_{n}=a_{1}+(n-1)d$

For the sequence

$-2,-13,-24,-35,...$

The pattern is continued by adding -11 to the last number each time.

An arithmetic series is the sum of an arithmetic sequence. We find the sum by adding the first, $a_1$ and last term, $a_n$ , divide by 2 in order to get the mean of the two values and then multiply by the number of values, n

$S_{n}=\frac{n}{2}(a_{1}+a_{n})$

The sum of the arithmetic sequence is

$a_{8}=-2+(8-1)(-11)=-2-77=-79$

$S_{8}=\frac{8}{2}(-2-79})=4\left(-2-79\right)=4\left(-81\right)=-324$

3 0

3 years ago

the cost of running an appliance varies jointly as the number of watts used, the hours of operation, and the cost per kilo-watt

zhuklara [117]

Suppose:
C=cost
c=cost per kilo-watt hour
w=number of watts
h=number of hours
thus
C=kwhc
where:
k=constant of proportionality:
k=C/(whc)
but
C=15 when w=6000, h=10/60=1/6 hours, c=7.5 cents per kw/h
thus
k=15/(6000*1/6*7.5)
k=0.002
thus:
C=0.002(whc)
hence:
when
h=70*2=140=140/6=70/3 hours the cost will be:
C=0.002(6000*70/3*7.5)
C=2100 cents
C=$21

7 0

3 years ago

What is the halfway point between 12 and 13?

nirvana33 [79]

12.5 is the halfway point

6 0

2 years ago

Is shipping box is a shape of a cube. Each side measures 3c^6d^2 inches. Express the volume of a cube has a monomial.

liubo4ka [24]

Length of each side of cube is = $3c^6d^2$

SO the volume of cube = $(Side)^3$
= $(3c^6d^2)^3$
= $27 * (c^6)^3(d^2)^3$
= $27c^{18}d^6$

SO the volume of cube is $27c^{18}d^6$

9 0

3 years ago

Read 2 more answers

Please hepl please i want help

Phoenix [80]

Answer:

19/35

Step-by-step explanation: 2/5=14/35 1/7=5/35 14/35+5/35=19/35

6 0

2 years ago

Read 2 more answers