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Dmitriy789 [7]
4 years ago
8

Please help!!!!!Solve the equation 5(2y - 1) - 2(3y)= 1​

Mathematics
1 answer:
-Dominant- [34]4 years ago
5 0

Answer:

y = 3/2

Step-by-step explanation:

5(2y - 1) - 2(3y) = 1

First we use distributive property:

10y - 5 - 6y = 1

because 5 × 2y = 10y

and -2 × 3y = -6y

Now we combine the like terms:

4y -5 = 1

because 10y - 6y = 4y

Now we have to send the -5 to the other side. (when we send it to the other side it becomes positive because right now it is negative)

4y = 1 + 5

Again we combine the like terms:

4y = 6

(because 5 + 1 = 6)

Now we have to send the 4 to the other side because we need to get the y value. (when we send it to the other sidr it will be divided)

y = 6/4

and we simplify:

y = 3/2

And we cannot simplify or do anything else. So that is the answer.

Hope that helped!

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Solve the following equation:<br> 9n² - n - 2/3 = 0
KIM [24]

Answer:

see explanation

Step-by-step explanation:

Given

9n² - n - \frac{2}{3} = 0 ← multiply through by 3 to clear the fraction

27n² - 3n - 2 = 0 ← factoring

Consider the factors of the product of the n² term and the constant term which sum to give the coefficient of the n- term

product = 27 × - 2 = - 54 and sum = - 3

The factors are - 9 and + 6

Use these factors to split the n- term

27n² - 9n + 6n - 2 = 0 ( factor the first/second and third/fourth terms )

9n(3n - 1) + 2(3n - 1) = 0 ← factor out (3n - 1) from each term

(3n - 1)(9n + 2) = 0

Equate each factor to zero and solve for n

3n - 1 = 0 ⇒ 3n = 1 ⇒ n = \frac{1}{3}

9n + 2 = 0 ⇒ 9n = - 2 ⇒ n = - \frac{2}{9}

3 0
3 years ago
Solve the following inequality.<br> -9 &lt; 5 + 2.0 &lt; -5<br> [?] &lt; x &lt;[<br> ]
LuckyWell [14K]

Step-by-step explanation:

you work with it like with regular equations :

-9 <= 5 + 2x <= -5

-14 <= 2x <= -10

-7 <= x <= -5

6 0
3 years ago
What is -5/8 + 3/4 ?
enot [183]

Answer:

0.125

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
I needhelp please :(
Karo-lina-s [1.5K]

Answer:

1/8

Step-by-step explanation:

-5/8+3/4 =( -20+24)/32 = 4/32

4/32= 1/8

4 0
3 years ago
A 17-ft ladder leans against a building so that the angle between the ground and the ladder is 71°. How high does the ladder rea
klasskru [66]

Answer:

there is 16.08 foot high does the ladder reach on the building

Step-by-step explanation:

The computation of the high does the ladder reach on the building is shown below:

Given that

length of the ladder = 17 ft

angle -between the ground and the ladder = 75 degrees

Based on the above information

Here we used the trig-ratio to calculate the same

Sin \theta  = \frac{oppo}{hyp} \\\\Sin 71^{\circ} = \frac{h}{17}

0.946 × 17 = h

The height is 16.08 foot

Hence, there is 16.08 foot high does the ladder reach on the building

6 0
3 years ago
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