If the side of square P is x and the side of square Q is y, we have x+y=26. In addition, 3*the perimeter of P+8*4y=3*4x+32y=12x+32y=492.
We have
x+y=26
12x+32y=492
Multiplying the first equation by -12 and adding it to the second, we get
20y=180 and dividing by 20 we get y=9. Plugging it into the first equation, we get 26-9=17=x. Since the area of square P is x^2 and Q is y^2,
x^2+y^2=19^2+7^2=410=the sum of the squares
Answer:
It depends on the value of x
Step-by-step explanation:
If x=1, then yes
Exponents come before multiplication, so even if 2*4=8, 2*4^2 is not equal to 8.
Ex:
2*4^2=32
8^2=64
Answer:
area of circle=pi times radius^2
diameter/2=radius
area of rectangle=length times width
rectanlge-circle=scarf
rectanlge=28 by 15=28*15=420
circle, diameter is 15 so radius is 15/2=7.5
area=pi7.5^2=pi56.25=3.14*56.25=176.625
so
rectangle-circle=420-176.625=243.375 square inches
the area of the scarf is 243.375 square inches
Step-by-step explanation:
Answer:
The enrollment drop is 12 students per year. The equation is 60=5d. The complete sentence would be the enrollment drop at the after school program dropped 12 students per year, and the equation is 60=5d
Step-by-step explanation:
So I will start with explaining the equation. 60 is the amount of students that dropped, 5 is the year, and d is the enrollment drop rate per year that you are trying to find. The way to use this equation is to isolate d. To do that you divide both sides of the equation by 5, this leaves you with 12 = d. Therefore your yearly enrollment drop is 12 students.
60 = 5d
60/5 = d
60/5 = 12
12 = d
Hopefully this explained your answer.
Answer:
7 cookies
Step-by-step explanation:
We have 3 brothers
First , Second, Third
Let the total number cookies be represented by A
1 cookie = 1
Working backwards, we start from the third brother
If we work backwards
It means he gave everything away
We start from the youngest
He was given 1/2 of what was left and 1/2 a cookie
This means,
1/2 + 1/2 = 1
The second brother
He got half of what is left and 1/2 a cookies
Half of what is left from brother
= What the youngest brother got + 1/2 + 1/2 a cookie
= 1 + 1/2 + 1/2
= 1.5 + 1/2
= 2 cookies
For the first brother
He got 1/2 of the cookies + 1/2 cookie
= 1.5 × 2 + 1/2 + 1/2 cookies
= 3 1/2 + 1/2
= 4 cookies
The first brother got 4 cookies
The second brother got 2 cookies
The third broth got 1 cookies
