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2 years ago

Solve for x: (-3/2)x - 9 =-27

Mathematics

2 answers:

Phoenix [80]2 years ago

7 0

Answer:

x=12

Step-by-step explanation:

solmaris [256]2 years ago

4 0

Answer:

the answer its 12 hope this helps

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If the second number is subtracted from the sum of the first number and 2 times the third number, the result is 1. The thrid num

weeeeeb [17]

Answer:

Step-by-step explanation:

$x,\ y,\ z-\text{three numbers}\\\\\left\{\begin{array}{ccc}(x+2z)-y=1&(1)\\z+2x=3&(2)\\x+3y+z=18&(3)\end{array}\right\\\\(2)\\z+2x=3\qquad\text{subtract}\ 2x\ \text{from both sides}\\z=3-2x\qquad(*)\\\\\text{Substitute}\ (*)\ \text{to (1) and (3)}\\\\\left\{\begin{array}{ccc}x+2(3-2x)-y=1&\text{use the distributive property}\\x+3y+(3-2x)=18\end{array}\right$

$\left\{\begin{array}{ccc}x+(2)(3)+(2)(-2x)-y=1\\x+3y+3-2x=18&\text{subtract 3 from both sides}\end{array}\right\\\left\{\begin{array}{ccc}x+6-4x-y=1&\text{subtract 6 from both sides}\\(x-2x)+3y=15\end{array}\right\\\left\{\begin{array}{ccc}(x-4x)-y=-5\\-x+3y=15\end{array}\right\\\left\{\begin{array}{ccc}-3x-y=-5&\text{multiply both sides by 3}\\-x+3y=15\end{array}\right$

$\underline{+\left\{\begin{array}{ccc}-9x-3y=-15\\-x+3y=15\end{array}\right}\qquad\text{add all sides of the equations}\\.\qquad-10x=0\qquad\text{divide both sides by (-10)}\\.\qquad\boxed{x=0}\\\\\text{Put it to the second equation:}\\-0+3y=15\\3y=15\qquad\text{divide both sides by 3}\\\boxed{y=5}\\\\\text{Put the value of}\ x\ \text{to}\ (*):\\\\z=3-2(0)\\\boxed{z=3}$

7 0

2 years ago

PLEASE HELP QUESTION: What is the midpoint of the line containing the points X(4,-1) and Y(-4,1)?

11Alexandr11 [23.1K]

Answer:

( D ) , ( 0 , 0 )

6 0

2 years ago

Read 2 more answers

A coffee distributor plans to mix some Rift Valley coffee that normally sells for $12.10 per pound with some Mexican Shade Grown

-BARSIC- [3]

Answer:

24 pounds of Rift Valley coffee

26 pounds of Mexican Shade Grown coffee

Step-by-step explanation:

If R is pounds of Rift Valley coffee, and M is pounds of Mexican Shade Grown coffee, then:

R + M = 50

12.10 R + 13.10 M = 12.62 (50)

Substitute:

12.10 R + 13.10 (50 − R) = 12.62 (50)

12.10 R + 655 − 13.10 R = 631

R = 24

M = 26

8 0

2 years ago

Find the volume of a cylinder below . The formula for the volume of a cylinder is . The radius of the circle is represented by r

lapo4ka [179]

Answer:

The volume of the cylinder V = 942 cm³

Step-by-step explanation:

Step(i):-

Given that the graph

The height of the cylinder (h) = 12cm

The diameter of the cylinder d = 10cm

The radius of the cylinder

d = 2r

r = $\frac{10}{2}$

r = 5 cm

Step(ii):-

The Volume of the cylinder

V = π r² h

V = π (5)²(12)

V = 300π cubic centimeter

V = 300 × 3.14

V = 942 cm³

Final answer:-

Volume of the cylinder V = 942 cm³

3 0

1 year ago

Complete the following steps for this equation.

Troyanec [42]

1. 4x – 20 = 5y

so 5y = 4x – 20

divide both sides by 5

y = (4/5)x - 4

2. x-intercept is at y=0

so (4/5)x - 4 = 0

x = 5

so it is (5,0)

3. y-intercept is at x=0, y = 0 - 4 = -4

so it is (0,-4)

6 0

2 years ago