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Ratling [72]
3 years ago
5

Proportion Application

Mathematics
1 answer:
balu736 [363]3 years ago
3 0
Set up the proportions
\frac{3}{4.5}  =  \frac{825}{x}
Cross multiply
3x = 3712.5

Divide by 3
x = 1237.5

4.5 gallons would cover 1237.5 square feet
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The population of a town increases by 5 % every five years. Due to a high rate of industrialisation of
Anna11 [10]

Answer:

A

Step-by-step explanation:

Because 105%*105%=1.1205

and the only number divisible by that is A

6 0
3 years ago
The hypotenuse of a right triangle is 13.0, and one leg is 9.0 units shorter than the other. Find the dimensions of the figure (
Darina [25.2K]
Let, one leg be x units. 
since the other leg is 9.0 units shorter than the other, 
the measure of the other leg =x-9 
hypotenuse =13.0 units 
According to Pythagorean theorem, the square of the hypotenuse is equal to the sum of squares of the other two sides.  
x^2 +(x-9)^2 =13^2 
x^2 + x^2 -18x +81 = 169 
2x^2-18x-88=0 
Divide the whole equation by 2 
x^2 - 9x -44 =0  
Let's use the quadratic formula to find the roots. 
formula: x= [-b ± sqrt(b^2-4*a*c)]/2*a  
a=1 b=-9 c=-44 
x= [9±sqrt(81+176)]/2
 =[9±sqrt(257)]/2
 =[9±16.03]/2
 =25.03/2 or -7.03/2
 length of a triangle cannot be negative,
 Therefore, x=25.03/2 =12.52 
 one leg =12.5 units
 other leg =12.52-9 =3.5 units
4 0
3 years ago
A factory processes 1,560 ounces of olive oil per hour. The oil is packaged into 24-ounce bottles. How many bottles dose the fac
lozanna [386]
Divide the total amount of olive oil by the amount packaged into an individual bottle.

1560 / 24 = 65 bottles per hour
5 0
3 years ago
Read 2 more answers
Multiplying Radicals With Foil ( 50 Points ) Provide Steps PLEASEEE
Anika [276]

Answer:

Answer is – 3

Step-by-step explanation:

expand the expression using ( a – b) ( a + b) = a² –b²

( 3 ) ² – ( 6) ² *remember to place your square roots inside the brackets my phone doesn't have one*

then simplify the radical

3–6 = – 3

8 0
3 years ago
For her phone service, Rita pays a monthly fee of $17, and she pays an additional $0.05 per minute of use. The least she has bee
Alona [7]

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following :

Monthly fee = $17

Additional fee per unit of use = $0.05

Least amount she's been charged in a month = $83.90

Equation to represent the number of minutes 'M':

monthly fee + (additional fee per minute × M) = $83.90

Possible number of minutes :

83.90 ≤ $17 + 0.05M

$17 + $0.05 × M = $83.90

$0.05*M = $83.90 - $17

$0.05*M = $66.90

M = $66.90 / 0.05

M = 1,338 minutes

3 0
3 years ago
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