Ask your own question, for FREE!
Mathematics 14 Online
OpenStudy (anonymous):

ILL FAN AND GIVE A MEDAL, FOR HELP.. the picture of the problem will be below...

OpenStudy (anonymous):

OpenStudy (anonymous):

anyone?

OpenStudy (tukitw):

It would be the first line. 4 less than a number divided by 3 would mean x / 3 - 4, not x / 3 + 4

OpenStudy (anonymous):

OpenStudy (tukitw):

A number divided by 3 is 4 more than -11. So, x / 3 = 4 + -11 x / 3 = -7 x = -21

OpenStudy (tukitw):

If you see an 'is', you can just replace with an = sign normally.

OpenStudy (anonymous):

OpenStudy (anonymous):

thank you :)

OpenStudy (anonymous):

did you get the image I just sent?

OpenStudy (tukitw):

Yes

OpenStudy (anonymous):

okay, what is the answer to it? and can you help me with some more aftert that?

OpenStudy (tukitw):

Since there's no statement, I assume the first line is correct. The error is with line 5. -8 - 4 is -12, not -4 which is -8 + 4

OpenStudy (anonymous):

Identify the solution set of the inequality, using the given replacement set. x < –4; {–10, –4.3, –4, –3.9, 2, 6.5} A. {–10, –4.3, –4} B. {–4, –3.9, 2} C. {–10, –4.3} D. {–3.9, 2}

OpenStudy (anonymous):

Solve. 8y – 24 > –16 A. y > –5 B. y > –1 C. y > 1 D. y > 5

OpenStudy (anonymous):

OpenStudy (tukitw):

The first one would be C. A = {–10, –4.3, –4} is not valid as x < -4, which means -4 is not inclusive. B and D are out because x cannot be 2 which is more than -4.

OpenStudy (anonymous):

OpenStudy (anonymous):

OpenStudy (anonymous):

what about the rest of the questions?

OpenStudy (tukitw):

8y - 24 > -16 For linear inequality, solve it as if the inequality is an equal sign. 8y - 24 > -16 8y - 24 + 24 > -16 + 24 8y > 8 8y / 8 > 8 / 8 y > 1 So, the answer is C

OpenStudy (anonymous):

and the other questions? (their are 5 on the quizso that leaves 3 more left)

OpenStudy (tukitw):

-t / 5 >= 15 Likewise, with this question, except for one special rule. If you change the sign of the expressions in inequality questions, you need to flip the inequality sign as well. -t / 5 * 5 >= 15 * 5 -t >= 75 t <= -75 Notice that the >= is flipped to <=, because the sign on t and 75 is changed.

OpenStudy (anonymous):

what about this one?

OpenStudy (tukitw):

An opened circle on the number line means exclusive. So, just count backwards and you will see that the circle is on -7. The red line extends to the right so y would be bigger than some value, which is -7. y > -7 or y + 5 > -7 + 5 -> y + 5 > -2.

OpenStudy (anonymous):

a b c or d?

OpenStudy (tukitw):

-s / 2 >= 9 -s / 2 * 2 >= 9 * 2 -s >= 18 s <= -18 Notice that the sign got changed again. Now see that the sign is lesser or equal to, so the circle would be a closed circle. Furthermore, the red line will be extending to the left, because of <. So, the answer would be A.

OpenStudy (tukitw):

For question 3, the answer is A

OpenStudy (anonymous):

what about this one?

OpenStudy (tukitw):

The explanation for question 3 is above

OpenStudy (anonymous):

what about question 5?

OpenStudy (tukitw):

Also A

OpenStudy (anonymous):

Which expression is equivalent to this one? –5(6 + 11) A. (–5) · 6 + 11 B. (–5) + 6 + 11 C. (–5) · 6 · 11 D. (–5) · 6 + (–5) · 11

OpenStudy (anonymous):

Which expression is equivalent to this one? k · 6 + k · s A. 6(k + s) B. s(6 + k) C. k(6 + s) D. k · (6 + k) · s

OpenStudy (anonymous):

What is the solution to the equation? 5(8 + 7) = 5 • x + 5 • 7 A. x = 1 B. x = 5 C. x = 7 D. x = 8

OpenStudy (tukitw):

-5(6 + 11). By the distributive law, the -5 is distributed to the 6 and 11. So, -5(6 + 11) = -5 * 6 + -5 * 11 which is D.

OpenStudy (anonymous):

thank you

OpenStudy (anonymous):

what about the one that is this k · 6 + k · s ?

OpenStudy (tukitw):

k * 6 + k * s This time, you just need to think in reverse or factor it. k(6 + s) which is C

OpenStudy (anonymous):

5(8 + 7) = 5 • x + 5 • 7

OpenStudy (tukitw):

5(8 + 7) = 5 • x + 5 • 7 5 * x + 5 * 7 is the same as the previous question, 5(x + 7) By comparing both sides, 5(8 + 7) = 5(x + 7), so x = 8

OpenStudy (tukitw):

D would be the answer

OpenStudy (anonymous):

what about this one?

OpenStudy (anonymous):

What is the solution to the equation? 12y + 6 = –18 A. y = –2 B. y = –1 C. y = 1 D. y = 2

OpenStudy (tukitw):

7x + 6 = -22 7x + 6 - 6 = -22 - 6 7x = -28 7x / 7 = -28 / 7 x = -4 B I hope you understand how I got the answer

OpenStudy (tukitw):

Try 12y + 6 = –18 on your own first. If you need help understanding, just ask

OpenStudy (anonymous):

okay

OpenStudy (anonymous):

I don't understand how to do it

OpenStudy (tukitw):

... 12y + 6 = -18 You want y to be alone, so you have to get rid of the 12 and 6. To get rid of the 6, you need to subtract 6 from the left hand side of the equation. But, any operation you do to one side must be applied to the other side. So 12y + 6 - 6 = -18 - 6 6 - 6 = 0 and -18 - 6 = -24 12y + 0 = -24 Anything added to 0 is itself. 12y = -24 Now, you have to remove the 12. However, this time, you can't add or subtract 12. Instead, you have to divide by 12 on both sides because any operations must be applied to both sides. 12y / 12 = -24 / 12 12 / 12 = 1 and -24 / 12 = -2 1 * y = -2 Anything multipled by 1 is itself. y = -2 A

OpenStudy (anonymous):

thank you, let me write it down so ill know how to do it

OpenStudy (anonymous):

how do you do division ones?

OpenStudy (tukitw):

anything divided by itself is 1 12 / 12 = 1 for the -24, you factor out a 2 to get -2(12). -24 / 12 = -2(12) /12 Notice the 12 / 12? It equals to 1. So, -2(12) /12 = -2 * 1 = -2

OpenStudy (anonymous):

like this one \[2-\frac{ z }{ 3 }=12\]

OpenStudy (tukitw):

?

OpenStudy (anonymous):

I don't understand how to do the equation I just put.

OpenStudy (tukitw):

2 - z / 3 = 12 Now see the negative on z? This time, you add z / 3 to both sides of the equation 2 - z / 3 + z / 3 = 12 + z / 3 2 = 12 + z / 3 Now you got a positive z. Next, remove the 12 by subtracting 12 from both sides 2 - 12 = 12 - 12 + z / 3 -10 = z / 3 Next, get rid of the 3 by multiplying 3 to both sides. -10 * 3 = z * 3 / 3 -30 = z or z = -30

OpenStudy (anonymous):

okay that kind makes sense :) thanks

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!