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Setler [38]
3 years ago
6

He ratio of the lengths of the corresponding sides of two rectangles is 8:3. the area of the larger rectangle is 320 ft2. what i

s the area of the smaller rectangle? 120 ft2 30 ft2 90 ft2 45 ft2
Mathematics
1 answer:
dusya [7]3 years ago
3 0
The answer is:  [A]:  " 120 ft² " .
_______________________________________________________
Explanation:
_______________________________________________________
Set up a ratio as a fraction:
_______________________________________________________

       8/3 = 320/x ;
_______________________________________________________
Cross-multiply:
_____________________________________________________

8x = 3 * 320  ;

8x = 960 ;

Divide each side of the equation by "8" ;
 to isolate "x" on one side of the equation ; and to solve for "x" ;
______________________________________________________
   8x / 8  =  960 / 8 ;

to get:  x = 120 .

The answer is:  [A]:  " 120 ft² " .
______________________________________________________
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Clara has $67 in her piggy bank. She spent x dollars on a dog bowl and now has $57.4 remains.
kolezko [41]

Answer:

B) 57.4+x=67

Step-by-step explanation:

We take the amount in the piggy bank.  Then we take the amount spent and add it to the amount she has left.  These two amounts should be equal

piggy bank = spent + left

67 = x + 57.40


6 0
3 years ago
Resolve (5x+4) /( (x-4)( x+2))
vazorg [7]

Answer:

Step-by-step explanation:

Hello!

(5x+4) /( (x-4)( x+2))

(5x+4)/ (x² +2x -4x -8)=

(5x+4) /( x²-2x -8)

7 0
3 years ago
The geometric sequence that tells the perimeter of each stage in the building of Koch's snowflake has a first term of 3 and a ra
kari74 [83]
An = a1 * r^(n-1)
n = term to find = 18
a1 = first term = 3
r = common ratio = 4/3
now we sub

a18 = 3 * 4/3^(18 - 1)
a18 = 3 * 4/3^17
a18 = 3 * 133
a18 = 399
4 0
3 years ago
If you were solving a system of equations and you came to a statement like 1 = 3, what do you know about the solution to the sys
noname [10]
<h2>Key Ideas</h2>
  • Systems of equations

<h2>Solving the Question</h2>

When both sides of the equal sign are equal, there are infinite solutions.

When you are able to isolate the variable, there is only one solution.

When the equation states an untrue expression, there is no solution.

1=3 is an untrue fact. Therefore, there would be no solutions to the system.

<h2>Answer</h2>

There is no solution

5 0
2 years ago
Angle f and angle G are complementary. The measure angle f is four times the measure of angle G. What is the measure of each ang
elena55 [62]

Complementary means they add to 90°

f=90-g

f=4g

4g =90-g

5g=90

g=18

f=4g=4(18)=72

Answer: f=72°, g=18°

4 0
3 years ago
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