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3 years ago

Why is it important to develop and maintain a balance budget

Mathematics

1 answer:

kap26 [50]3 years ago

4 0

Answer:

Maintaining a balanced budget ensures monthly obligations are met, with room for savings.With stable cash flow,monthly surpluses can be reserved in an emergency,xontingency fund, standing ready to bail you out of times of financial distress

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What is the LCDof two numbers if one number is a multiple of the other give an example

mylen [45]

What's the choices to the question

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3 years ago

Two different sized triangles have a scale factor of 2:3. If the hypotenuse ( the longest side ) of the bigger triangle measures

OlgaM077 [116]

Answer:

16 in

Step-by-step explanation:

The 3 part of the ratio represents 24 inches.

Dividing by 3 gives the value of one part of the ratio.

24 in ÷ 3 = 8 in ← value of 1 part of the ratio, thus

2 parts = 2 × 8 in = 16 in ← hypotenuse of smaller triangle

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4 years ago

A line that passes through the point (x,y), with a y-intercept of b and a slope of m, can be represented by the equation y = mx

tester [92]

Answer:

b=-18

Step-by-step explanation:

If a line that passes through the point $P(x_o,y_o)$ and it has slope $m$ , the equation of the line is:

$y-y_o=m(x-x_o)~=>y=mx+y_o-mx_o~=>b=y_o-mx_o\\\\b=-6-4(3)=-18$

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3 years ago

Simplify the expression by factoring, showing the steps in your work.

alexdok [17]

Given:

$$\frac{12 x^{2}+31 x+7}{16 x^{2}+8 x+1}$

To find:

The simplified expression by factoring.

Solution:

Let us factor the numerator:

$12 x^{2}+31 x+7$

31x can be written as 3x + 28x.

$=\left(12 x^{2}+3 x\right)+(28 x+7)$

Take 3x common in 1st two terms and 7 common in next two terms.

$=3 x(4 x+1)+7(4 x+1)$

Make sure the remaining terms in the both brackets must be same.

Now, take out common factor (4x + 1).

$=(4 x+1)(3 x+7)$

In the same way, factorize the denominator:

$16 x^{2}+8 x+1$

8x can be written as 4x + 4x.

$=(16 x^{2}+4 x)+(4x+1)$

Take 4x common in 1st two terms and 1 common in next two terms.

$=4x(4 x+1)+1(4x+1)$

Make sure the remaining terms in the both brackets must be same.

Now, take out common factor (4x + 1).

$=(4x+1)(4x+1)$

Substitute the terms we found for numerator and denominator:

$$\frac{12 x^{2}+31 x+7}{16 x^{2}+8 x+1}=\frac{(4 x+1)(3 x+7)}{(4 x+1)(4 x+1)}$

Cancel the common factors.

$$=\frac{3 x+7}{4 x+1}$

The simplified expression is $\frac{3 x+7}{4 x+1}$ .

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4 years ago

In June, Jim ran a mile in 7 minutes and 45 seconds. After training the entire summer he ran a mile in 5 minutes and 51 seconds

gregori [183]

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3 years ago

Why is it important to develop and maintain a balance budget​

Why is it important to develop and maintain a balance budget