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3 years ago

10

Three times a number plus 12 minus 5 times the same number is 22

2 answers:

Dimas [21]3 years ago

5 0

Three times (3 ·) a number (x) plus (+) 12 minus (-) 5 times (·) the same number (x) is (=) 22

3x + 12 - 5x = 22 Combine like terms (3x and -5x)
-2x + 12 = 22 Subtract 12 from both sides
-2x = 10 Divide both sides by -2
x = -5

Luba_88 [7]3 years ago

4 0

1. a number is represented by "x"

<span>3x + 12 - 5x = 22 </span>
<span>12 - 2x = 22 </span>
<span>-2x = 10 </span>
<span>x = -5 </span>

<span>2. (45) + (45) + (45 + 6x) = 303 </span>
<span>job 1, 2, 3 equals total for the day </span>

<span>135 + 6x = 303 </span>
<span>6x = 168 </span>
<span>x = 28
</span>
<span>the plumbers hourly rate is $28/hr</span>

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2 years ago

Quadrilateral ABCD is a rectangle. BD = 6x - 14 and AC = 8x - 20. What is BD?

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Step-by-step explanation:

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2 years ago

Read 2 more answers

The position of an object moving along an x axis is given by x = 3.24 t - 4.20 t2 + 1.07 t3, where x is in meters and t in secon

Pavel [41]

Answer and explanation:

Given : The position of an object moving along an x axis is given by $x=3.24t-4.20t^2+1.07t^3$ where x is in meters and t in seconds.

To find : The position of the object at the following values of t :

a) At t= 1 s

$x(t)=3.24t-4.20t^2+1.07t^3$

$x(1)=3.24(1)-4.20(1)^2+1.07(1)^3$

$x(1)=3.24-4.20+1.07$

$x(1)=0.11$

b) At t= 2 s

$x(t)=3.24t-4.20t^2+1.07t^3$

$x(2)=3.24(2)-4.20(2)^2+1.07(2)^3$

$x(2)=6.48-16.8+8.56$

$x(2)=-1.76$

c) At t= 3 s

$x(t)=3.24t-4.20t^2+1.07t^3$

$x(3)=3.24(3)-4.20(3)^2+1.07(3)^3$

$x(3)=9.72-37.8+28.89$

$x(3)=0.81$

d) At t= 4 s

$x(t)=3.24t-4.20t^2+1.07t^3$

$x(4)=3.24(4)-4.20(4)^2+1.07(4)^3$

$x(4)=12.96-67.2+68.48$

$x(4)=14.24$

(e) What is the object's displacement between t = 0 and t = 4 s?

At t=0, x(0)=0

At t=4, x(4)=14.24

The displacement is given by,

$\triangle x=x(4)-x(0)$

$\triangle x=14.24-0$

$\triangle x=14.24$

(f) What is its average velocity from t = 2 s to t = 4 s?

At t=2, x(2)=-1.76

At t=4, x(4)=14.24

The average velocity is given by,

$\triangle x=x(4)-x(2)$

$\triangle x=14.24-(-1.76)$

$\triangle x=14.24+1.76$

$\triangle x=16$

4 0

2 years ago