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Law Incorporation [45]
3 years ago
15

Solve for c.Give an exact answer.0.2(10−5c)=5c−16

Mathematics
1 answer:
Zielflug [23.3K]3 years ago
5 0
C = 3
You isolate the variable by dividing each side by factors that don’t contain the variable
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What is the value of the expression?
Blababa [14]

Answer:

- \frac{9}{10}

Step-by-step explanation:

Step 1: Add the numerator fractions.

2/5 + 3/10

Here we have to find LCD, the LCD of 5 and 10 is 10

                                         (2*2) + 3         4 + 3

Therefore,  2/5 + 3/10 = ---------------  = ------------------

                                          10                     10

= 7/10

Step 2: Now substitute 2/5 + 3/10 = 7/10 in the given fraction, we get


 7/10

=  ----------

     -7/9

If we have fraction over fraction, we have to find the reciprocal of denominator fraction and multiply.

The reciprocal of -7/9 is -9/7

Step 3: Now multiply 13/10 and -9/7

= (7/10) x (-9/7)

= -9/10

=-9/10

The answer is  -\frac{9}{10}

8 0
3 years ago
Read 2 more answers
In an arithmetic sequence, if a2= 5 and a10= 19 find a6
OLEGan [10]

Answer:

a₆ = 12

Step-by-step explanation:

The nth term of an arithmetic sequence is

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given a₂ = 5 and a₁₀ = 19 , then

a₁ + d = 5 → (1)

a₁ + 9d = 19 → (2)

Subtract (1) from (2) term by term to eliminate a₁

8d = 14 ( divide both sides by 8 )

d = 1.75

Substitute d = 1.75 into (1)

a₁ + 1.75 = 5 ( subtract 1.75 from both sides )

a₁ = 3.25

Then

a₆ = 3.25 + 5(1.75) = 3.25 + 8.75 = 12

6 0
2 years ago
What is negative 21/9 times negative 18/7
diamong [38]

Answer:

negative 21/9 times negative 18/7  is 6

Step-by-step explanation:

The phrase negative 21/9 times negative 18/7 can be written mathematically as

-\frac{21}{9} \times -\frac{18}{7}

Lets first convert the fractions into decimal values

-\frac{21}{9} = -2.33

-\frac{18}{7} =  -2.57

Now on simplyfying

=>-2.33 \times -2.57

=> 5.988

=>6 (rounding off)

We will get a positive value because the multiplicative law states that the product of two negative number is positive

5 0
3 years ago
4a/3-b/4=6<br> 5a/6+b=13<br> Solve linear system by elimination
kondor19780726 [428]
\bf \cfrac{4a}{3}-\cfrac{b}{4}=6&#10;\qquad \qquad &#10;\cfrac{5a}{6}+b=13&#10;\\\\\\&#10;\textit{let us remove the denominators off those folks}\\&#10;\textit{by multiplying the first one by 12, both sides}\\&#10;\textit{and the second one by 6, both sides, thus}&#10;\\\\\\&#10;12\left( \cfrac{4a}{3}-\cfrac{b}{4} \right)=12(6)\implies 16a-4b=72&#10;\\\\\\&#10;6\left( \cfrac{5a}{6}+b \right)=6(13)\implies 5a+6b=78

\bf  \textit{now, let's do the elimination}&#10;\\\\&#10;&#10;\begin{array}{llll}&#10;16a-4b=72&\boxed{\times 3}\implies &48a-\underline{12b}=216\\\\&#10;5a+6b=78&\boxed{\times 2}\implies &10a+\underline{12b}=156\\&#10;&&--------\\&#10;&&58a+0\quad=372&#10;\end{array}

solve for "a", once you get "a", plug it back into either equation to get "b"
3 0
3 years ago
What is the source of Yangtze river​
belka [17]

Answer:

Qinghai

Step-by-step explanation:

8 0
3 years ago
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