4) Pas sock drawer contains only black socks and white socks. There are 28 pairs of socks altogether. The ratio of bsocks towhite socks is 2 to 5. How many pairs of black socks does Pa own?pairs

Answers

Answer 1

Answer: There are 8 black socks and 20 white socks. 5 socks times 4 = 20 white socks, and 2 socks times 4 = 8 black socks. So, Pa has 8 black socks.

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What is the simplified form of x minus 5 over x squared minus 3x minus 10 ⋅ x plus 4 over x squared plus x minus 12? (6 points)

Answers

Answer: Our simplified form will be

$(1)/((x+2)(x-3))$

Step-by-step explanation:

Since we have given that

$(x-5)/(x^2-3x-10)* (x+4)/(x^2+x-12)$

So, first we split the middle term of the denominator ,

$x^2-3x-10=0\n\n=x^2-5x+2x-10\n\n=x(x-5)+2(x-5)\n\n=(x-5)(x+2)$

Similarly,

$x^2+x-12=0\n\nx^2+4x-3x-12=0\n\nx(x+4)-3(x+4)=0\n\n(x+4)(x-3)=0$

Now, we put in our expression above:

$(x-5)/((x-5)(x+2))* (x+4)/((x-3)(x+4))\n\n=(1)/(x+2)* (1)/(x-3)\n\n=(1)/((x+2)(x-3))$

Hence, our simplified form will be

$(1)/((x+2)(x-3))$

Step 1 is to factor everything!

After factoring you will get:

x-5 over (x+2)(x+5) times x+4 over (x-3)(x+4)

Step 2 is to remove the duplicate factors!
Remove x+4 and x+5

x-5 over (x+2)(x-5) times 1 over x-3 = 1 over x+2 times 1 over x-3

Step 3 is to multiply the numerators and the denominators.

End result is 1 over (x+2)(x-3)

What is the domain of the function f(x) = 4x − 16?

Answers

All real numbers equal to or greater than 4
Interval Notation: [4,∞)

Please help this question I need all of them

Answers

a 300m b 300m c 1200m d 5km e 600m f 400m g 2km h 5km. remember that 1 km is equal to 1000m

Answer:
a) 300m
b) 300m
c) 1200m
d) 5km
e) 600m
f) 400m
g) 1km
h) 5km

Explanation: Question is asking you to fill in the missing value to complete the bar model.

Explanation for a:

700m + what equals 1km?
1km is 1000m
1000m - 700m = 300m

Hope this helps! :)

Sam needs to cut a piece of sheet metal into 8 pieces. It takes him 5 minutes to make each cut. How many cuts will Sam Make? Can you please explain i got 8 cuts as my answer

Answers

If we assume Sam would achieve his aim of cutting the metal into 8 pieces.

Then he will make 8 cuts. It takes him 5 minutes to make each cut. This is how long it takes to make the cut. This only tells us that he will take a total of 8*5 = 40 minutes, to make all the cuts.

Sam will make 8 cuts as stated in the question.

I am about to fail this math class. I would like to verify that my answers are right. Please help.Find the distance from the given point to the vertical axis.
(7, −6)

Determine the value of k such that the points whose coordinates are given lie on the same line.
(k, 0), (0, −1), (10, −11)

Find the slope of the line containing the given points.
P1(5, −9), P2(1, 7)

Find the equation of the line that passes through the midpoint of the line segment between
P1(4, 1) and P2(−2, 3) and has slope of 3.
Let y be the dependent variable and let x be the independent variable.

Find the equation of the line that contains the given point and has the given slope.
P(0, 6), m = 1

Suppose a ball is being twirled at the end of a string and the center of rotation is the origin of a coordinate system. If the string breaks, the initial path of the ball is on a line that is perpendicular to the radius of the circle. Suppose the string breaks when the ball is at the point whose coordinates are P(3, 9). Find the equation of the line on which the initial path lies

During one month, a homeowner used 500 units of electricity and 100 units of gas for a total cost of $331. The next month, 400 units of electricity and 250 units of gas were used for a total cost of $326. Find the cost per unit of gas.

Answers

Answer:

1) 7 2) (-1,0) 3) m=-4 4) y=3x-4 5) y=x+6 6)

g(x)=-1/3x+10 7) y= $0.36

Step-by-step explanation:

These questions are all about Cartesian Geometry.

1) The Distance from point (7,-6) to vertical axis (0,-6) is measured with a straight line, between point (7,-6) and nearer point (0,-6)

d=|7-0|=7

2) To determine the value of k, let's determine the function with the two known points: (0, −1), (10, −11).

$m=(y_(2)-y_(1))/(x_(2)-x_(1))\Rightarrow m=(-11+1)/(10-0)\Rightarrow m=-1\n-11=-1*(10)+b\therefore b=-1\Rightarrow f(x)=-x-1\nf(k)=-k-1\n0=-k-1\therefore k=-1$

So (k,0)=(-1,0)

3) To find the slope of the line, we must apply that formula used above.

$m=(y_(2)-y_(1))/(x_(2)-x_(1))\Rightarrow m=(7+9)/(1-5)\Rightarrow m=(16)/(4)=-4$

4) To find the equation of the line which the midpoint (2,2) since Midpoint is given by

$Midpoint=((x_(1)+x_(2))/(2)+(y_(1)+y_(2))/(2))\n$

And the slope is 3, then m=3. Notice the formula is the same to calculate the slope, but we will only pick one point. Since (2,2) ∈ to the function let's use this point, as initial value (x0,y,0)

$m(x-x_(0))=y-y_(0)\n3(x-2)=y-2\n3x-6=y-2\Rightarrow 3x-y=6-2\Rightarrow -y=4-3x\Rightarrow y=3x-4$

5) Similarly to the previous one:

$m(x-x_(0))=y-y_(0)\n(x-0)=y-6\nx=y-6\Rightarrow -y=-x-6\Rightarrow y=x+6$

6) A ball being twirled. The center of the rotation is the origin of Coordinate System (0,0) when the string breaks at point (3,9)

If the line was straight from the origin to point (3,9) $m=(9-0)/(3-0)\Rightarrow m=3\therefore 9=3(3)+b\Rightarrow b=0\Rightarrow f(x)=3x$

But the point (3,9) ∈ to a tangent line to the circumference described by the twirling.

Since it is perpendicular instead of m=3 it is -1/m i.e. -1/3, also the circumference intercepts the y-axis in ≈10

g(x)=-1/3x+10

7) In this case, we must also find the function.

x=units of electricity, y=units of gas |

500x+100y=331

400x+250y=326

The cost per unit of gas is y. Finding out the unit value for y

$100y=331-500x\rightarrow y=(331-500x)/(100)\n500x=331-100y\nx=(331-100y)/(500)\n400((331-100y)/(500))+250y=326\n52.96-80y+250y=326\Rightarrow y=(9)/(25) \,and \,x=(59)/(100)$

What should be included in a financial plan to protect assets?

Answers

Answer:

In a financial plan, one must include his insurance plan and how much insurance he wants.

Step-by-step explanation:

Protecting assets means protecting your valuable assets like home, car, jewelry etc from accidents, disasters or theft.

For protection, we need an insurance to cover all these assets.

Hence, in a financial plan, one must include his insurance plan and how much insurance he wants.

You might need to get insurance to protect your assets
:P

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