Answer:
2.86 miles.
Step-by-step explanation:
We have been given that Megan uses a pedometer to find how many steps she takes each school day. she took 32,410 steps over the course of 5 days.
1 feet = 12 inches.
Therefore, Megan walks 2.86 miles on Monday.
Answer:
Step-by-step explanation:
This problem does not specify what the radius of the circle is, and so we will have to represent that by r.
Arc length = s = rФ, where Ф is the central angle in radians.
Converting 162° into radians:
162° 1 rad
------- · ------------ = 0.9 rad
1 180°
Then the arc length BC is s = rФ, or r(0.9 rad)
If, for example, r = 10 m, then the arc length would be (10)(0.9) m = 9 m
Answer:
The answer is 156.25π or about 490.625
Step-by-step explanation:
To find the area of a circle, you use the formula πr² (pi times radius times radius.) The radius is 12.5, so you plug it in to the equation. Once you plug the radius into the equation, you get π times 12.5 times 12.5. This simplifies to 156.25 times pi. If you want to use 3.14 as pi, the final answer is about 490.625. I hope this helps and that you have an fantastic day!!! Hope you stay safe!!!
Let x be the number of pounds of the $1.35 beans. The cost of those beans is $1.35 * x, or 1.35x.
<span>Let y be the number of pounds of the $1.05 beans. The cost of those beans is $1.05 * y, or 1.05y. </span>
<span>We know that 120 pounds of the mix sells for $1.15/pound, for a total of 120 * 1.15 = $138. </span>
<span>x + y = 120 </span>
<span>1.35(x) + (1.05)y = 138 </span>
<span>We can rewrite the first as </span>
<span>x = -y + 120 </span>
<span>Now we can substitute (-y + 120) in for (x) in the second equation, because we just proved they're equal. </span>
<span>1.35(x) + 1.05(y) = 138 </span>
<span>1.35(-y + 120) + 1.05y = 138 </span>
<span>-1.35y + 162 + 1.05y = 138 </span>
<span>-0.3y + 162 = 138 </span>
<span>-0.3y = -24 </span>
<span>y = 80 </span>
<span>And since x + y = 120, that means x = 40. </span>
<span>Check: </span>
<span>40 pounds of x at $1.35 costs 40 * 1.35, or $54. </span>
<span>80 pounds of y at $1.05 costs 80 * 1.05, or $84. </span>
<span>Do those add up to our target total, according to the question, of 120 * 1.15 = $138? </span>
If it is 40% off, it means you have to pay 60% of its price.
$67 × 60/100 = $40.20
the 8% of sales tax is added from the $40.20
$40.20 × 8/100 = $3.22
total price = $40.20 + $3.22 = $43.42
