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3 years ago

How does writing an equation help you solve a problem ?

2 answers:

6 0

When you write an equation, it tells you, that you know what the math problem is and your steps of solving. For example if the math problem was that:

Trina invited 9 girls and 10 boys to her birthday. 2 girls didn't come and 1 boy didn't come. What is the total amount of people that came to Trina's birthday party.

Equation: 9+10-2-1=?

Answer would be: 9+10=19
19-4=15.

So only 15 people came to Trina's birthday party!

:) Hope I helped!

AlekseyPX3 years ago

3 0

It makes everything clear from a mathematical point , much easier to solve the question in equation form than trying to figure it out from a long word problem

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Solve the proportion using cross products. Round to the nearest hundredth if necessary. $18.45/m gal = $3.60/7.5gal

sveta [45]

$\dfrac{\$18.45}{n \text { gallon}} = \dfrac{\$3.60}{7.5 \text { gallon}}$

Cross multiply
$n \times \ 3.60 = 7.5 \times \ 18.45$

Combine like terms
$3.60n = 138.375$

Find n
$n = 138.375\div 360$

Answer
$n = 0.38 \text { (nearest hundredth)}$

3 0

3 years ago

Read 2 more answers

Find the scale 6in=10ft

Arlecino [84]

The scale faction is 20 to 1 hope that helps

7 0

3 years ago

Write the equation of a line perpendicular to 5x – 4y = - 3 that passes through the point (-5,2).

kolezko [41]

Answer: 5y + 4x = - 10

Step-by-step explanation:

Two lines are said to be perpendicular if the product of their gradients = -1.

If the gradient of the first line is $m_{1}$ and the gradient of the second line is $m_{2}$ , if the lines are perpendicular, them

$m_{1}$ x $m_{2}$ = -1 , that is

$m_{1}$ = $\frac{-1}{m_{2} }$

The equation of the line given is 5x - 4y = -3 , we need to write this equation in slope - intercept form in order to find the slope.

The equation in slope -intercept form is given as :

y =mx + c , where m is the slope and c is the y - intercept.

Writing the equation in this form , we have

5x - 4y = + 3

4y = 5x -+3

y = 5x/4 + 3/4

comparing with the equation y = mx + c , then $m_{1}$ = 5/4

Which means that $m_{2}$ = -4/5 and the line passes through the point ( -5 , 2 ).

Using the equation of line in slope - point form to find the equation of the line;

y - $y_{1}$ = m ( x - $y_{1}$ )

y - 2 = -4/5 ( x +5)

5(y - 2 ) = -4 ( x + 5 )

5y - 10 = -4x - 20

5y + 4x = - 10

4 0

3 years ago

In 1980, the average cost of a pack of cigarettes was $0.88. In 2000, the average cost was $5.31 per pack.

yan [13]

Answer:

The average rate of change of the cost of a pack is 22 cents per year.

Another name for the average rate of change is slope.

Step-by-step explanation:

The average rate of change of the cost of a pack ( $r$ ), in monetary units per year, is equal to the change in the average cost of a pack ( $\Delta c$ ), in monetary units, divided by the change in time ( $\Delta t$ ), in years. Then, the average rate of change is: