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3 years ago

What are some examples of how you have used, or could use, algebraic equations to solve problems in your everyday life?

1 answer:

3 0

We use algebraic equations in our daily lives without knowing it. For example, when we go shopping, calculate grocery expenses, or even fill our gas tanks, we are using equations. Let's say we needed to fill our gas tank, but we only had $15.00 to do so. If the price of gas is $3.00 per gallon, how many gallons could we buy? We use the simply algebraic equation of $\frac{x}{y}$ to calculate the total gallons that can be bought. x = the money we have. y = price per gallon of gas. $\frac{15}{3}$ = 5. So with $15.00, we can buy 5 gallons of gas; and that is just one example of using an algebraic equation in everyday life!

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ASAP! I'll mark you as Branliest! Gina plotted the points (-3,4), (4,4), (-3,-2), and (4,-2), on the coordinate plane.

neonofarm [45]

Answer:

the reson why is becuase the length and width are equal

Step-by-step explanation:

8 0

2 years ago

Given the sequence 1/2 ; 4 ; 1/4 ; 7 ; 1/8 ; 10;.. calculate the sum of 50 terms

miv72 [106K]

Hint :-

Break the given sequence into two parts .
Notice the terms at gap of one term beginning from the first term .They are like $\dfrac{1}{2},\dfrac{1}{4},\dfrac{1}{8}$ . Next term is obtained by multiplying half to the previous term .
Notice the terms beginning from 2nd term , $4,7,10,13$ . Next term is obtained by adding 3 to the previous term .

Solution :- 

We need to find out the sum of 50 terms of the given sequence . After splitting the given sequence ,

$\implies S_1 = \dfrac{1}{2},\dfrac{1}{4},\dfrac{1}{8}$ .

We can see that this is in Geometric Progression where 1/2 is the common ratio . Calculating the sum of 25 terms , we have ,

$\implies S_1 = a\dfrac{1-r^n}{1-r} \\\\\implies S_1 = \dfrac{1}{2}\left[ \dfrac{1-\bigg(\dfrac{1}{2}\bigg)^{25}}{1-\dfrac{1}{2}}\right]$

Notice the term $\dfrac{1}{2^{25}}$ will be too small , so we can neglect it and take its approximation as 0 .

$\implies S_1\approx \cancel{ \dfrac{1}{2} } \left[ \dfrac{1-0}{\cancel{\dfrac{1}{2} }}\right]$

$\\\implies \boxed{ S_1 \approx 1 }$

$\rule{200}2$

Now the second sequence is in Arithmetic Progression , with common difference = 3 .

$\implies S_2=\dfrac{n}{2}[2a + (n-1)d]$

Substitute ,

$\implies S_2=\dfrac{25}{2}[2(4) + (25-1)3] =\boxed{ 908}$

Hence sum = 908 + 1 = 909

7 0

2 years ago

A hardware store rents vacuum cleaners that customers may use for part or all of a day, before returning. The store charges a fl

Vsevolod [243]

Answer:

Total rental cost is:

y = Bx + M

where x is number of additional hours, y is total cost, M is fixed fee, and B are is amount that is charged per hour.

Step-by-step explanation:

Let amount of flat fee = M

let hourly rate = B

Total rental cost = ?

As given the store charges a flat fee plus an hourly rate:

⇒ y = Bx + M

where x is number of additional hours, y is total cost, M is fixed fee, and B are is amount that is charged per hour.

5 0

3 years ago

Please help would be very very appreciated

poizon [28]

115 ounces is the answer

8 0

3 years ago

Read 2 more answers

The talent show committee sold a total of 530 tickets in advance. Student tickets cost $3each and the adult tickets cost $4 each

Serggg [28]

Students = 380
Adults = 150

You can get this by using x = students and y = adults. Then set up a cost equation of:

3x + 4y = 1740

and a total tickets equation of

x + y = 530

Solve using any method.

6 0

3 years ago

Read 2 more answers