Answer:
u forgot to add the question
Step-by-step explanation:
X=original cost
37.80=1.08x
x=37.80/1.08
x=35
original cost: $35
Answer:
B) 
D) 
Step-by-step explanation:
Given expression:

To find the equivalent expression.
We will evaluate each expression in the given choices to check the equivalence.
A) 
Using distribution.
⇒ 
⇒ 
B) 
Using distribution.
⇒ 
⇒ 
C) 
Using distribution.
⇒ 
⇒ 
D) 
Using distribution.
⇒ 
⇒ 
E) 
Using distribution.
⇒ 
⇒ 
From the choices evaluated, we find that the expressions in choices B and D are equivalent
Answer:
At 7% $54,000
At 9% $156,000
Step-by-step explanation:
Let x be the amount invested at 7%, Then 2x + 48000 will be the amount invested at 9%
We know that:
7% = 0.07 & 9% = 0.09
So we can write the interest equation as follows:
0.07x + 0.09 (2x + 48000) = 17820
0.07x + 0.18x + 4320 = 17820
0.25x + 4320 = 17820
Subtracting 4320 from both sides of the equation we get:
0.25x = 17820 - 4320
0.25x = 13500
Dividing both sides of the equation by 0.25 we get:
x = 13500 / 0.25
x = $54,000 invested at 7%
&
2 x 54000 + 48000
= $156,000 invested at 9%
Hence the amount invested at 7% is $54,000.
& the amount invested at 9% is $156,000.
Answer:
24.33 inches
Step-by-step explanation:
inches of fabric on headbands = 648.62 inches
39 players and 2 couches = 41 people
Inches of fabrics per person = Total headbands inches / number of people
= 648.62 inches / 41
= 15.82 inches per person
Inches of fabrics used for headbands per person = 15.82 inches
inches of fabric on wristbands = 331.89 inches
Used for players alone
Inches of fabrics for wristband pee person = Total inches of fabrics for wristband / number of people
= 331.89 inches / 39 players
= 8.51 inches
Inches of fabrics used for wristband per person = 15.82 inches
How much fabric was used on a headband and wristband for each player?
= Inches of fabrics used for headbands per person + Inches of fabrics used for wristband per person
= 15.82 inches + 8.51 inches
= 24.33 inches
Inches of fabrics used on headband and wristband for each player is 24.33 inches