You times 11.34 by 27 the divide by 100 it should be 3.0618
The equation would be y=0.45x.
Let x be the number of cookies Matt made. Since Phil made 25% more, and 100%+25%=125%=125/100=1.25, the number of cookies Phil made can be represented by 1.25x.
Together the cookies they made are represented by x+1.25x=2.25x
Since there were 20% of the cookies remaining, this means they sold 100%-20%=80%=80/100=0.8 of the cookies:
0.8(2.25x) = 1.8x
Each cookie sold for 0.25, so we have
0.25(1.8x) = 0.45x
Letting y be the money they make, we have
0.45x=y
Answer:
15cm by 20cm by 25cm
Step-by-step explanation:
Let the sides of the right angle be x, y and h
x is the breadth
y is the height
h is the hypotenuse
Perimeter = x + y + h
x + y +h = 60
x+y = 60-h .... 1
If its area is equal to 150 square cm, then;
Area = 1/2 * base * height
Area = 1/2 *x * y
xy/2 = 150
xy = 300 ....2
According to pythagoras theorem;
x² + y² = h²
On expanding x² + y²
x² + y² = (x+y)² - 2xy
The equation becomes
(x+y)² - 2xy = h² ... 3
Substitute equation 1 and 2 into 3;
From 3;
(x+y)² - 2xy = h² ... 3
(60-h)² - 2(300) = h²
3600-120h + h² - 600 = h²
3600-120h - 600 = 0
-120h = 600-3600
-120h = -3000
h = 3000/120
h = 25cm
Recall that x+y+h = 60
x+y+25 = 60
x+y = 60 - 25
x+y = 35 ... 4
From equation 2;
xy = 300
x = 300/y ..... 5
Substitute 5 into 4;
300/y + y = 35
(300+y²)/y = 35
300+y² = 35y
y²-35y + 300 = 0
y²-20y-15y + 300 = 0
y(y-20)-15(y-20) = 0
y-20 = 0 and y - 15 =0
y = 20 and 15
since x+y = 35
x + 20 = 35
x = 35 - 20
x = 15
Hence the sides of the triangle are 15cm by 20cm by 25cm
Answer:
John bought 2 Snickers bags and 10 Milky Way bags.
Step-by-step explanation:
Let x be number of Snickers bags. Let y be number of Milky Way bags.
Systems of Equations:
4x+5y=58
x+y=12
4x+5y=58
y=-x+12
4x+5(-x+12)=58
4x-5x+60=58
-x=-2
x=2
12-2=10
Answer:
<h2>3 in</h2>
Step-by-step explanation:
The formula of a volume of a cube:
a - length of an edge
We have V = 27 in³. Substitute:
![a^3=27\to a=\sqrt[3]{27}\\\\a=3\ in](https://tex.z-dn.net/?f=a%5E3%3D27%5Cto%20a%3D%5Csqrt%5B3%5D%7B27%7D%5C%5C%5C%5Ca%3D3%5C%20in)
