Answer:
67 students voted for the eagle
Step-by-step explanation:
The students at Woodward Elementary voted for a school mascot. The falcon won with 5/8 of the votes and the eagle came second with 1/3 of the remaining votes. If 536 students voted for a mascot, how many students voted for the eagle
Total students who voted = 536
Falcon won with 5/8 of the votes
5/8 of 536
=5/8 × 536
= 2,680/8
= 335 votes
Falcons won with 335 votes
Remaining votes = Total votes - falcons votes
= 536 - 335
= 201 votes
There are 201 votes remaining
Eagle came second with 1/3 of the remaining votes
1/3 of the remaining votes
= 1/3 × 201
= 201/3
= 67 votes
67 students voted for the eagle
<h3>Equation : x + y = 170 and y = 2x - 40</h3><h3>The weight of Bill is 70 pounds and weight of mark is 100 pounds</h3>
<em><u>Solution:</u></em>
Let the weight of Bill be "x"
Let the weight of mark be "y"
Given that,
Mark and Bill have a combined weight of 170 pounds
Therefore,
x + y = 170 ------- eqn 1
Mark weighs 40 pounds less than twice Bill's weight
y = 2x - 40 ------- eqn 2
<em><u>Substitute eqn 2 in eqn 1</u></em>
x + 2x - 40 = 170
3x = 170 + 40
3x = 210
x = 70
<em><u>Substitute x = 70 in eqn 2</u></em>
y = 2(70) - 40
y = 140 - 40
y = 100
Thus weight of Bill is 70 pounds and weight of mark is 100 pounds
Distance (d) is 23.46 meters
Workup in the photo below.
Good luck.
Answer:
P = 70 cents per muffin
Step-by-step explanation:
It says to find the price when the supply and demand are equal, so you have to set the two equations equal to each other.
7700/p = 3p-100.
It seems to me that the best way to solve this would be to set up a quadratic equation.
If you multiply both sides by p and then subtract 7700, you get the following:
0=3p^2 -100p -7700
I wrote a program to solve this, and I got the answers p= 70 and -36.67.
Obviously, a negative number doesn’t work in this situation, so the answer is 70 cents per muffin. To check this, you can plug it back into the equation:
7700/70=3(70)-100
110=110
Answer:
-90000
Step-by-step explanation:
30^3=30*30*30=27000
20^3=20*20*20=8000
50^3=50*50*50=125000
------------------------
27000+8000-125000
35000-125000
-90000
