Answer:
A) 0.265
B) 0.0265
C) 0.837
D) 0.0837
E) 0.00265
F) 0.00837
Step-by-step explanation:
We are given;
√7 = 2.65 and √70 = 8.37
A) √0.07 can be rewritten as;
√(7 × 1/100)
Let's deal with the digits in the bracket.
Square root of 100 is 10. Thus;
√(7 × 1/100) = (1/10)√7 = (1/10) × 2.65 = 0.265
B) √0.0007
Rewrite to get;
√(7 × 1/10000)
Square root of 1/10000 is 1/100
Thus;
√(7 × 1/10000) = (1/100)√7 = (1/100) × 2.65 = 0.0265
C) √0.7
Like above;
√0.7 = √(70 × (1/100))
>> (1/10)√70 = (1/10) × 8.37 = 0.837
D) √0.007
Like above;
Rewrite to get;
√(70 × 1/10000)
Square root of 1/10000 is 1/100
Thus;
√(70 × 1/10000) = (1/100)√70 = (1/100) × 8.37 = 0.0837
E) √0.000007
Rewritten to;
√(7 × (1/1000000))
√(1/1000000) = 1/1000
Thus; √(7 × (1/1000000)) = 1/1000 × √7 = 1/1000 × 2.65 = 0.00265
F)√0.00007
Rewritten to;
√(70 × (1/1000000))
√(1/1000000) = 1/1000
Thus; √(70 × (1/1000000)) = 1/1000 × √70 = 1/1000 × 8.37 = 0.00837
First, let the number of skis rented by x and the number of snowboards rented by y. We can then assemble the first equation from the amount of money made from the rentals.
44x + 58y = 2232
The second equation can come from the fact that 9 more skis were rented than snowboards.
y = x - 9
Therefore our system is:
44x + 58y = 2232
y = x - 9
9/11=x/22
11*2=22
9*2=x
x=18
9/11=18/22
The quotients are equal because they both go in the same number of times. The second pair of quotients just have an extra 0 at the end which just changes the place value of the number.
Step-by-step explanation:
The formula the amusement parc use is 100y-39000=55(x-800)
The slope intercept form of a function is wriiten generally as:
y = mx+c
- m is a slope
- c is a constant and represents the y-intercept
- x is a variable
- y is the input of the function
Let's rewrite our equation in the precedent form
- 100y-39000 = 55(x-800)
- 100y -39000 = 55x-44000 add 39000 in both sides
- 100y-39000+39000 = 55x-44000+39000
- 100y = 55x-5000 divide both sides by 100
- y = 0.55x-50
The slope intercept form of this equation is:
y= 0.55x-50
