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3 years ago

List seven guidelines that will help you plan a working budget.

1 answer:

Nutka1998 [239]3 years ago

7 0

Gather financial details, list all sources of income, categorize expenses, list supplies, other expenses, calculate overall cost and subtract from your income, if needed tweak budget.

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A magician is performing for an audience of 32 men and 20 women. He selects a volunteer from the audience, has the volunteer sta

statuscvo [17]

32+20=52 so there are 52 people in all.
32/52 people are men.
we now have to subtract 1 from this fraction like so 32-1/52-1 since the magician took away 1 man from the audience (therefore reducing the amount of men as well as the audience as a whole) resulting in 31/51
we multiply 32/52 with 31/51 to get 248/663. simply turn this fraction into a percent by multiplying the quotient by 100 and rounding it to the nearest tenth to get 37.4%

6 0

2 years ago

Choose the true statement. -2 < -3 -2 > -3 -2 = -3Choose the true statement.

Marrrta [24]

-2 < -3 (I think so anyway)

7 0

2 years ago

Line EF is the median of the trapezoid ABCD. The median connects the midpoint of the legs of a trapezoid. Use the diagram to fin

FromTheMoon [43]

Answer:

median: 15
base: 18

Step-by-step explanation:

The median is the average of the lengths of the two bases:

5x -20 = (12 + (4x -10))/2

5x -20 = 2x +1

3x = 21 . . . . . add 20-2x

x = 7

Then the lengths are ...

median = 5x -20 = 5·7 -20 = 15

base = 4x -10 = 4·7 -10 = 18

6 0

2 years ago

Which line has an undefined slope? Options: a) y = -1 b) 2y - 4x = 0 c) x = 1 d) y = x - 1

andrey2020 [161]

Answer:

C. x = 1

Step-by-step explanation:

When we have an undefined slope, we have a vertical line of x = [a number]. This isn't a function and we have an undefined slope because we don't know what m equals in y = mx + b.

7 0

2 years ago

Find the solution to this system of equations <br> 3x+2y+3z=3 4x-5y+7z=1 2x+3y-2z=6 <br> x=? Y=? Z=?

Ede4ka [16]

Answer:

The solution is $x=2,\ y=0,\ z=-1.$

Step-by-step explanation:

You are given the system of three equations:

$\left\{\begin{array}{l}3x+2y+3z=3\\4x-5y+7z=1\\2x+3y-2z=6\end{array}\right.$

Multiply the first equation by 4, the second equation by 3 and subtract them. Then multiply the third equation by 2 and subtract it from the second equation:

$\left\{\begin{array}{l}3x+2y+3z=3\\4(3x+2y+3z)-3(4x-5y+7z)=4\cdot 3-3\cdot 1\\4x-5y+7z-2(2x+3y-2z)=1-2\cdot 6\end{array}\right.\Rightarrow \\\\\left\{\begin{array}{l}3x+2y+3z=3\\12x+8y+12z-12x+15y-21z=12-3\\4x-5y+7z-4x-6y+4z=1-12\end{array}\right.$

So,

$\left\{\begin{array}{rl}3x+2y+3z=3\\23y-9z=9\\-11y+11z=-11\end{array}\right.\Rightarrow \left\{\begin{array}{l}3x+2y+3z=3\\23y-9z=9\\y-z=1\end{array}\right.$

Multiply the third equation by 23 and subtract it from the second equation:

$\left\{\begin{array}{rl}3x+2y+3z=3\\23y-9z=9\\23y-9z-23(y-z)=9-23\cdot 1\end{array}\right.\Rightarrow \left\{\begin{array}{rl}3x+2y+3z=3\\23y-9z=9\\23y-9z-23y+23z=9-23 \end{array}\right.$

Hence,

$\left\{\begin{array}{rl}3x+2y+3z=3\\23y-9z=9\\14z=-14 \end{array}\right.\Rightarrow z=-1$

Substitute it into the second equation:

$23y-9\cdot (-1)=9\Rightarrow 23y+9=9\\ \\23y=0\\ \\y=0$

Substitute them into the first equation:

$3x+2\cdot 0+3\cdot (-1)=3\Rightarrow 3x-3=3\\ \\3x=6\\ \\x=2$

The solution is $x=2,\ y=0,\ z=-1.$

3 0

3 years ago