Answer:
53 pushes
Step-by-step explanation:
Total Volume of soap = 474 mL
Volume per push = 8mL
Mimimum volume required = 50mL
The equation which represents the number of push, x that can be made :
Total volume = minimum volume + (volume per push * number of pushes)
Total volume = 50 + (8 * x)
474 ≤ 50 + 8x
474 - 50 ≤ 8x
424 ≤ 8x
53 ≤ x
The number of pushes that can be made = 53
Answer:
400 feet of fencing for her garden.
Step-by-step explanation:
Slope of the line passing through two points <span><span>P=<span>(<span><span>x1</span>,<span>y1</span></span>) </span></span></span>and <span><span>Q=<span>(<span><span>x2</span>,<span>y2</span></span>)</span></span></span> is given by <span><span>m=<span><span><span>y2</span>−<span>y1/</span></span><span><span>x2</span>−<span>x1</span></span></span></span></span>.
We have that <span><span><span>x1</span>=−8</span></span>, <span><span><span>y1</span>=−3</span></span>, <span><span><span>x2</span>=−3</span></span>, <span><span><span>y2</span>=4</span></span>.
Plug given values into formula for slope: <span><span>m=<span><span><span>(4)</span>−<span>(<span>−3</span>)/</span></span><span><span>(<span>−3</span>)</span>−<span>(<span>−8</span>)</span></span></span>=<span>7/5</span></span></span>.
Now y-intercept is <span><span>b=<span>y1</span>−m⋅<span>x1</span></span></span> .
<span><span>b=−3−<span>(<span>7/5</span>)</span>⋅<span>(<span>−8</span>)</span>=<span>41/5.</span></span></span>
Finally, equation of the line can be written in the form <span><span>y=mx+b</span></span>.
<span><span>y=<span>7/5</span>x+<span>41/5</span></span></span>
The question is saying that if you buy 5 lbs, you have to pay $2.49. That means that 1 lb is $2.49/5 which (rounded to the nearest cent) is $0.50
