Answer:
x = 18.5
Step-by-step explanation:
Given
+ 
= 10
Multiply through by 4 to clear the fractions
2x + 3 = 40 ( subtract 3 from both sides )
2x = 37 ( divide both sides by 2 )
x = 
= 18.5
Answer: None of the above
Step-by-step explanation: Because none of them will equal the solution which is 0.5,
1.7 + (-1.2) = 0.5
Answer:
I would say Inductive reasoning.
Step-by-step explanation:
Inductive reasoning is defined as "A method of reasoning in which a body of observations is synthesized to come up with a general principle." and this is exactly what the doctor did to come up with his diagnosis.
Hope this helps you out a bit.
Let's use the variables N and Q for the number of nickels and the number of quarters.
We know there are 49 total coins, so we can write the following equation:
N + Q = 49
We can solve this equation for one variable which will help in the next step. Let's solve for N:
N = 49 - Q
Next, we know that nickels are worth $0.05 and quarters are worth $0.25. We can use these values along with the total value of $8.85 to create another equation.
0.05N + 0.25Q = 8.85
Now we can use substitution to solve our system out equations. We solved the first equation for N, so we can plug 49 - Q in for N.
0.05(49-Q) + 0.25Q = 8.85
Distribute and combine like terms.
2.45 - 0.05Q + 0.25Q = 8.85
2.45 + 0.2Q = 8.85
0.2Q = 6.4
Q = 32
Plug 32 in for Q in N + Q = 49 to find the number of nickels.
N + 32 = 49
N = 17
Dustin has 32 quarters and 17 nickels.
7/8-4/5. When subtracting two fractions, we must have a common denominator. A common denominator is a factor in which goes into both 8 and 5.
1.) Common factor: 45. 45 goes into and 8 and 5. If we list out all the factors of 8 and 5, 45 will be the lowest common factor.
2.) We need to multiply by a number to get 45 for each denominator. We can a one-step equation to figure out what we need to multiply 8 by and 5 by to get 45.
X=the factor of 8 that will get us 45.
8x=45
8x/8=45/8
x=5.625.
Y=factor of 5 that will get us 45.
5y=45
5y/5=45/5
y=9.
3.) We now know that we need to multiply 8 by 5.625 and 5 by 9 in order to get 45 as the denominator for both fractions.
7/8x5.625-4/5x9
7/45-4/45.
4.) Whatever is done to the denominator must be done to the numerator.
7x5.625/45-4x9/45
39.375/45-36/45
5.) We now have common denominators, so we simple subtract the numerators ONLY. We DO NOT subtract the denominators.
39.375/45-36/45=3.375/45.
Therefore, 3.375/45 is your answer.
