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3 years ago

If 1/2+2/5s=s-3/4,what is the value of s?

Mathematics

2 answers:

Sauron [17]3 years ago

6 0

Answer:

Step-by-step explanation:

lozanna [386]3 years ago

3 0

Answer: The correct option is

(B) $s=\dfrac{25}{12}.$

Step-by-step explanation: We are given to find the value of s from the following equation :

$\dfrac{1}{2}+\dfrac{2}{5}s=s-\dfrac{3}{4}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

To find the value of s, we must solve the given equation.

The solution of equation (i) is as follows :

$\dfrac{1}{2}+\dfrac{2}{5}s=s-\dfrac{3}{4}\\\\\\\Rightarrow s-\dfrac{2}{5}s=\dfrac{1}{2}+\dfrac{3}{4}\\\\\\\Rightarrow \dfrac{5-2}{5}s=\dfrac{2+3}{4}\\\\\\\Rightarrow \dfrac{3}{5}s=\dfrac{5}{4}\\\\\\\Rightarrow s=\dfrac{25}{12}.$

Thus, the required value of s is $\dfrac{25}{12}.$

Option (B) is CORRECT.

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Which is the simplified form of the expression 3(7/5x+4) - 2(3/2 - 5/4x)?

Kruka [31]

Answer:

B. $\frac{67}{10} x + 9$

Step-by-step explanation:

Simplify the expression. Remember to go by the order of operations, or PEMDAS.

1) First, distribute the numbers outside of the set of parentheses to the terms inside the set of parentheses next to them. Then, simplify the fractions.

$3(\frac{7}{5} x + 4) -2 (\frac{3}{2} -\frac{5}{4} x)$

$\frac{21}{5}x + 12 - \frac{6}{2} + \frac{10}{4} x$

$\frac{21}{5} x + 12 - 3 + \frac{10}{4} x$

2) Finally, combine like terms. (This means to add or subtract constants and to add or subtract terms with the same variables.) You may need to convert terms to the same denominator in order to do so easier. Then, reduce the fraction.

$\frac{21}{5} x + 9 + \frac{10}{4}x \\\frac{84}{20}x + \frac{50}{20}x + 9 \\\frac{134}{20}x + 9 \\\frac{67}{10}x + 9$

Thus, the answer is $\frac{67}{10} x + 9$ .

8 0

3 years ago

Please help quickk!!

Airida [17]

21 = 6

7 = 5

1 = 4

hope this helps

3 0

2 years ago

An object with a mass of 4 kg is hanging from an axle with a radius of 36 cm. if the wheel attached to the axle has a radius of

Airida [17]

The answer is of course 78cm

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2 years ago

Name the plane represented by the front of the box.

andre [41]

Answer:

FBC

Step-by-step explanation:

It's the only one at the front of the box

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2 years ago

The numerator of a given fraction is 4 less than the denominator. if 3 is subtracted from the numerator and 5 is added to the de

Sergeu [11.5K]

Answer:

Step-by-step explanation:Given that the numerator of a given fraction is 4 less than its denominator.

Also given that 3 is subtracted from the numerator and 5 is added to the denominator, the fraction becomes one by fourth .

Let the fraction be

Since the numerator of a given fraction is 4 less than its denominator we have,

Numerator=Denominator-4

⇒ a=b-4

Since 3 is subtracted from the numerator and 5 is added to the denominator, the fraction becomes one by fourth we have

4(a-3)=1(b+5)

4a-12=b+5

4a-b=17

4(b-4)-b=17 ( ∵ a=b-4)

4b-16-b=17

3b=17+16

3b=33

⇒ b=11

Now put b=11 in a=b-4 we get

a=11-4

⇒ the fraction is a/b=7/11

3 0

2 years ago