Agroup of mountain climbers begin an expedition with 270 pounds of food. they plan to eat a total of 15 pounds per day. write and solve a linear equation to find the number of days their food will last.

Equation : 15x = 270

Where, x = number of days,

Their food will last in 18 days.

Step-by-step explanation:

Given,

Total food = 270 pounds,

Consumption of food per day = 15 pounds

Let x be the number of days,

Then, consumption of food in x days = 15x

∵ Total food will last,

If total consumption = total food

⇒ 15x = 270

Which is the required equation,

Divide both sides of the equation by 15,

We get,

x = = 18

Hence, their food will last in 18 days.

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1

answer: okw

step-by-step explanation: