All categories

4 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!

You might be interested in

How do I solve this?

sukhopar [10]

1) Multiply out the 2 to the 10, so it will become 3x-5=20 2) Then solve:3x=25 3)x=25/3

7 0

3 years ago

Read 2 more answers

Solve the following linear quadratic system of equations algebraically. y=^2+3x-2 y+3=5x

USPshnik [31]

Answer:

$x=1$

$y=2$

Step-by-step explanation:

$y=x^2+3x-2$ , $y+3=5x$

Replace all occurrences of $y$ in $y+3=5x$ with $x^2+3x-2.$

$(x^2+3x-2)+3=5x$

$y=x^2+3x-2$

Add $-2$ and 3.

$x^2+3x+1=5x$

$y=x^2+3x-2$

Subtract 5x from both sides of the equation.

$x^2+3x+1-5x=0$

$y=x^2+3x-2$

Subtract 5x from 3x.

$x^2-2x+1=0$

$y=x^2+3x-2$

Rewrite 1 as $1^2$ .

$x^2-2x+1^2=0$

$y=x^2+3x-2$

Check that the middle term is two times the product of the numbers being squared in the first term and third term.

$2x=2$ · $x$ · $1$

$y=x^2+3x-2$

Rewrite the polynomial.

$x^2-2$ · $x$ · $1$ $+$ $1^2=0$

$y=x^2+3x-2$

Factor using the perfect square

trinomial rule $a^2-2ab+b^2=(a-b)^2,$

where a = x and b = 1.

$(x-1)^2=0$

$y=x^2+3x-2$

Set the $x-1$ equal to 0.

$x-1=0$

$y=x^2+3x-2$

Add 1 to both sides of the equation.

$x=1$

$y=x^2+3x-2$

Replace all occurrences of $x$ in

$y=x^2+3x-2$ with 1.

$y=(1)^2+3(1)-2$

$x=1$

$y=2$

3 0

3 years ago

The ratio of girls to boys at soccer practice is 3:4. If on Saturday there will be a total of 42 players, how many boys will be

Alex777 [14]

Answer:

$Boys = 24$

$Girls = 18$

Step-by-step explanation:

Given

$G:B= 3:4$

$Total = 42$

Required

Determine the number of boys and girls

We have to convert the ratio to fraction;

Number of girls can be calculated as:

$Girls = \frac{G}{G + B} * Total$

$Girls = \frac{3}{3 + 4} * 42$

$Girls = \frac{3}{7} * 42$

$Girls = 3 * 6$

$Girls = 18$

$Boys = Total - Girls$

$Boys = 42 - 18$

$Boys = 24$

3 0

3 years ago

Help meeeeeeeeeeeee please please

drek231 [11]

Answer:

Step-by-step explanation:

2 is the y-intercept and the slope is one

4 0

3 years ago

How to solve 3/5e-6=-2/5(e-10)-7

kaheart [24]

$\frac{3}{5} e-6=- \frac{2}{5}(e-10)-7$
$\frac{3}{5} e-6=- \frac{2}{5} e- \frac{2}{5}*(-10) -7 \\ \frac{3}{5} e-6=- \frac{2}{5} e+ \frac{20}{5} -7= \frac{3}{5} e-6=- \frac{2}{5} e+4 -7= \\$
$\frac{3}{5}e-6=- \frac{2}{5} e-3$ /*5
3e-18=-2e-15 /+15
3e-3=-2e /+2e
5e-3=0 /+3
5e=3
e= $\frac{3}{5}$

6 0

3 years ago