Answer:
x = √(28), or x = 5.292
Step-by-step explanation:
First you distribute the square to the values inside of the parentheses. so it ends up looking like this
5(x^2 - 25) - 9 = 6
add 9 to both sides
so its 5(x^2 - 25) = 15
Then distribute the multiplication of 5 to the contents within the parentheses
so it would be 5x^2 - 125 = 15
add 125 to both sides
you get 5x^2 = 140
divide by 5 on both sides
you get x^2=28
then, take the square root of both sides to reverse the square
√(x^2)=√(28)
and in the end you get x=5.292
but √(28) will probably be fine if your teacher doesn't want u to solve for that kind of stuff.
Answer:
The profit is 20 cents per pastry
Step-by-step explanation:
Answer:
300 bags of 20 kg of premixed are required.
Step-by-step explanation:
Given:
diameter of pond 'd'= 7 m (given)
radius of inner border of pond 'r'= d/2= 7/2 m
The radius of outer circular border 'R'= r+2= 7/2+2= 11/2m
Area of concrete border around the circular pond= area of outer circle- area of inner circle
So, 
=> 22/7 x ((11/2)²-(7/2)²)
=> 22/7 x (121/4-49/4)
=>
=> 56.57 m²
volume of concrete needed= area x height= 56.57 x 0.05= 2.8285 cubic meter
Since 1 cube meter requires 106 x 20 kg bags,
2.8285 cubic meters require bags= 2.8285x106x20 kg
20 kg bags of premixed concrete required= 2.8285x106x20/20
=> 2.8285x106
=> 299.821 or 300 approximately
Answer:
$48.30
Step-by-step explanation:
If the dinner was $42.00 and they wanted to give a 15% tip, then to find that start by multiplying 42 by 0.15
42.00 x 0.15 = 6.3
now add $6.30 to $42.00
42 + 6.3 = 48.3
Answer:
0.75 or 3/4 cups
Step-by-step explanation:
Make a proportion
We need 1 1/4, or 1.25 cups of sugar for 20 cookies, and we need x cups of sugar for 12 cookies
1.25/20=x/12
To solve, we need to get the variable,x, by itself. It is being divided by 12. To reverse this, multiply both sides by 12.
12(1.25/20)=(x/12)12
The 12s on the right will cancel, and we are left with
0.75=x
0.75 is equivalent to 3/4
So, 0.75 or 3/4 cups of sugar is needed to make 12 cookies
