Answer:
He has 11 quarters
Step-by-step explanation:
* Lets study the information in the problem to solve it
- The value of dimes and quarters is $6.35
- There are dimes and quarters
- The dime = 10 cents
- The quarter = 25 cents
* We must change the money from dollars to cents
∵ $1 = 100 cents
∴ $6.35 = 6.35 × 100 = 635 cents
- The number of dimes = 3 + 3 × number of quarters
* Let number of dimes is D and number of quarter is Q
∴ D = 3 + 3Q
∴ 10D + 25Q = 635
* Substitute the value of D from first equation in the second equation
∴ 10(3 + 3Q) + 25Q = 635 ⇒ open the bracket
∴ 10(3) + 10(3Q) + 25Q = 635
∴ 30 + 30Q + 25Q = 635 ⇒ collect like terms
∴ 30 + 55Q = 635 ⇒ subtract 30 from both sides
∴ 55Q = 605 ⇒ divide both sides by 55
∴ Q = 11
* He has 11 quarters
Answer:
Step-by-step explanation:
the square root of 12 is 3.4 so the answer is 3.4
H(x) = x - 5
However, it had a domain of all real numbers such that x does not equal 3, since that would cause you to divide by 0.
Answer:
14
Step-by-step explanation:
The volume of a 3d rectangular prism is the length*width*height
Therefore your answer is:
3.5*8*0.5 = 14
The width of the insect is 0.17 cm and the height of the insect is 0.125 cm.
Step-by-step explanation:
Step 1:
The scale factor is given by dividing the measurement after scaling by the same measurement
The given drawing of the insect is larger than the actual insect.
The scale factor is 20: 1 which means 20 cm on the drawing is 1 cm on the actual insect.
Step 2:
To obtain the actual insect's dimensions, we divide the dimensions of the drawing by 20.
The width of the actual insect 
The height of the actual insect 
The width of the insect is 0.17 cm and the height of the insect is 0.125 cm.
