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3 years ago

Plz do this, I’m so exhausted. Thxx

Mathematics

2 answers:

brilliants [131]3 years ago

3 0

Answer:

12) B --> x < 8/3

13) B --> x ≤ 1/6

Step-by-step explanation:

12) Solving inequalities is just like solving normal equations where you and add, subtract, multiply and divide sides by the same value. Keep in mind dividing or multiplying by a negative flips the sign:

x - 10 < 6 - 5x

Add 5x to both sides to combine the x terms:

x - 10 < 6 - 5x

+5x +5x

6x - 10 < 6

Add 10 to both sides to isolate the x term:

6x - 10 < 6

+10 +10

6x < 16

Now, divide by 6 on both sides:

x < 8/3, this is B

13) Simplify 2 - 4:

2-3(2x + 1) ≤ 6x(-2)

Distribute:

2 - 6x - 3 ≤ -12x

Add 12x to both sides and combine like terms:

6x - 1 ≤ 0

Add 1 to both sides:

6x ≤ 1

Divide by 6:

x ≤ 1/6, this is B

Anna [14]3 years ago

3 0

12. B

X- 10 < 6-5x

So I brought over the five x to be on the side where the x is and then I placed the others on the other side so…

5x + x < 6 + 10

6x < 16

Then I divided both sides by 6

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I don’t know how to set this up

kodGreya [7K]

Answer:

Step-by-step explanation:

Set it up as the following -

3:8 = x:24.

Now cross multiply - 3 * 24 = 8x

72 = 8x

Now divide both sides by 8.

9 = x

4 0

4 years ago

Mike wants to make meatloaf. His recipe uses a total of 7 pounds of meat. If he uses a 3 to 1 ratio of beef to pork, how much po

SSSSS [86.1K]

Total meat in the recipe he wants to use = 7 pounds

Beef : pork = 3 : 1

Total pork that he will use = $\frac{1}{3+1}$ x 7 pounds

= 7/4 pounds

hope this helps

6 0

3 years ago

Help!!! Choose the product . - 6p ^ 3 * (3p ^ 2 + 5p - 1)

Lunna [17]

Answer:

$-18p^{5} -30p^{4} +6p^{3}$

Step-by-step explanation:

$(-6p^{3} )(3p^2+5p-1)$

$(-6p^3)(3p^2)+(-6p^3)(5p)+(-6p^3)(-1)$

$-18p^{5} -30p^{4} +6p^{3}$

<em>hope this helps.....</em>

8 0

3 years ago

Which statements about the system are true? Check all that apply. y =1/3 x – 4 3y – x = –7 The system has one solution. The syst

fredd [130]

Answer:

The true statements are:

- The system consists of parallel lines

- Both lines have the same slope

Step-by-step explanation:

* Lets talk about the solution of the linear equations

- There are three types of the solutions of the system of linear equations

# If the two lines intersect each other, then there is one solution

- The equations are ax+ by = c , dx + ey = f

# If the two lines parallel to each other, then there is no solution

- The equations are ax+ by = c , ax + by = d in its simplest form ,

where a is the coefficient of x , b is the coefficient of y and

c , d are the numerical terms

# If the two lines coincide (over each other), then there are infinite

solutions

- The equations are ax+ by = c , ax + by = c in its simplest form, where

a is the coefficient of x , b is the coefficient of y and c is the

numerical term

* Lets solve the problem

∵ The system of equation is:

y = 1/3 x - 4 ⇒ (1)

3y - x = -7 ⇒ (2)

- Lets put equation (1) in the form of equation (2)

∵ y = 1/3 x - 4 ⇒ multiply both sides by 3

∴ 3y = x - 12 ⇒ subtract x from both sides

∴ 3y - x = -12

∴ Equation (1) is 3y - x = -12

∵ Equation (2) is 3y - x = -7

∵ The coefficients of x and y in the two equation are equal

∵ The numerical terms in the two equations are not equal

∴ The equations have no solution because their lines are parallel

∵ The parallel lines have same slope

* The true statements are

- The system consists of parallel lines

- Both lines have the same slope

7 0

3 years ago

Read 2 more answers

I dont really know how to do soh cah toah. please help me find x.

Ipatiy [6.2K]

First notice that the triangle with sides $x,y,a$ and the triangle with sides $z,a+b,x$ are similar. This is true because the angle between sides $x,y$ in the smaller triangle is clearly $30^\circ$ , while the angle between sides $y,z$ in the larger triangle is clearly $60^\circ$ . So the triangles are similar with sides $x,y,a$ corresponding to $a+b,z,x$ , respectively.

Now both triangles are $30^\circ-60^\circ-90^\circ$ , which means there's a convenient ratio between its sides. If the length of the shortest leg is $\ell_1$ , then the length of the longer leg is $\ell_2=\sqrt3\ell_1$ and the hypotenuse has length $\ell_3=\sqrt{{\ell_1}^2+{\ell_2}^2}=2\ell_1$ .

Since $x$ is the shortest leg in the larger triangle, it follows that $a+b=2x$ , so $a+b=15=2x\implies x=\dfrac{15}2$

4 0

4 years ago