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4 years ago

Simplify the expression 2(x+4)−3(x+2)

Mathematics

1 answer:

Stella [2.4K]4 years ago

6 0

Answer:

-x+2 is the answer

Step-by-step explanation:

2x+8-3x-6

-x+2

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Convert the following common fractions to decimals. Round to three decimal places if necessary. You may use a calculator. 1/2 =

sineoko [7]

Answer:

1/2 = 0.5

Step-by-step explanation:

The given fraction is:

1/2

By simple calculation, we can convert the fraction into decimal

Division will give us 0.5

As the decimal form has only one digit after the point so there is no need to round off.

Hence, 1/2 in decimal form is 0.5 ..

3 0

3 years ago

Washer and dryer cost $784 combined. The washer cost $66 less than the dryer. What is the cost of the dryer.

zvonat [6]

Answer:

$425

Step-by-step explanation:

Let the dryer cost x

and the dish washer cost y

x+y=784-----------1

y=x-66-------------2

put the value of y=x-66 in 1

x+x-66=784

2x= 784+66

2x=850

x=850/2

x=425

Hence the dryer cost $425

3 0

3 years ago

Find the sum of 14 + 8 + 2+ ... + ( 274) + (-280).

Musya8 [376]

The sum of the given sequence is -6384.

Step-by-step explanation:

The given Arithmetic sequence is 14 + 8 + 2+ ... + ( 274) + (-280).

The first term of the sequence = 14
The last term of the sequence = -280
The common difference ⇒ 14 - 8 = 6

To find the number of terms in the sequence :

The formula used is $n = (\frac{a_{n}-a_{1}} {d})+1$

where,

n is the number of terms.
$a_{n}$ is the late term which is -280.
$a_{1}$ is the first term which is 14.
d is the common difference which is 6.

Therefore, $n =(\frac{-280-14}{6}) +1$

⇒ $n =( \frac{-294}{6}) + 1$

⇒ $n = -49 + 1$

⇒ $n = -48$

⇒ n = 48, since n cannot be negative.

∴ The number of terms, n = 48.

To find the sum of the arithmetic progression :

The formula used is $S = \frac{n}{2}(a_{1} + a_{n} )$

where,

S is the sum of the sequence.
$a_{1}$ is the first term which is 14.
$a_{n}$ is the late term which is -280.

Therefore, $S = \frac{48}{2}(14+ (-280))$

⇒ $S = \frac{48}{2}(-266)$

⇒ $S = 48 \times -133$

⇒ $S = -6384$

∴ The sum of the given sequence is -6384.

3 0

3 years ago

REVIEW

adell [148]

Answer:

12 weeks

Step-by-step explanation:

6 0

3 years ago

Best Answer gets BRAINLIEST!!!

AysviL [449]

Answer:

$\frac{2}{3}$

Step-by-step explanation:

x=4 and y=6

4/6 on simplest form is 2/3

8 0

3 years ago