Yes your answers are correct
Answer:
The weight of the block that Katie has is 16 1/3 pounds
Step-by-step explanation:
<u>Katie has: 4 full cement blocks and 4/6 (or 2/3 ) of the normal size of a cement block</u>
For one full block, it weighs 3 2/4 ( or 1/2) pounds, if you want to find the answer of the question, you need to multiply the weight with the cement blocks that Katie have.
<u>First do the four full cement blocks:</u>
4 * 3 2/4 = ?
4 * 14/4 = ?
Cancel the 4 that is being multiplied and the 4 that is being divided by 14.
= 14.
<u>Now do the 4/6 (or 2/3) cement block:</u>
2/3 * 3 2/4 = ?
2/3 * 14/4 = ?
Multiply the fractions together:
= 28/12
= 2 1/3
<u>Finally, you add up the full blocks and the 2/3 cement block to get your answer:</u>
2 1/3 + 14 = 16 1/3
The weight of the block that Katie has is 16 1/3 pounds
Answer:
C
Step-by-step explanation:
We have the system of equations:

And an ordered pair (10, 5).
In order for an ordered pair to satisfy any system of equations, the ordered pair must satisfy both equations.
So, we can eliminate choices A and B. Satisfying only one of the equations does not satisfy the system of equations.
Let’s test the ordered pair. Substituting the values into the first equation, we acquire:

Evaluate:

Evaluate:

So, our ordered pair satisfies the first equation.
Now, we must test it for the second equation. Substituting gives:

Evaluate:

So, the ordered pair does not satisfy the second equation.
Since it does not satisfy both of the equations, the ordered pair is not a solution to the system because it makes at least one of the equations false.
Therefore, our answer is C.
The triangle inequality theorem states that any side of a triangle is always shorter than the sum of the two other sides.
That means if you add up the distance from jacksonville to tampa and the distane from tampa to miami, the distance from jacksonville to miami must be less than that.
171 miles + 206 miles = 377 miles
the distance from jacksonville to miami must be less than 377 miles
Answer:
Option D,four is correct
Step-by-step explanation:
The tax withholding from the gross income of $951 is the gross income itself minus the income after tax withholding i.e $189 ($951-$762)
The percentage of the withholding =189/951=20% approximately
Going by the multiple choices provided,option with 4,189 dollars seems to the correct option as that is the exact of the tax withholding on Robert's gross income and his earnings fall in between $950 and $960