Answer:
Marcia is 47 inches tall.
Step-by-step explanation:
Let's solve this step by step and try to visualize the situation.
• Carl: 73 inches tall
The second part of the question states that Carl's heigh is twenty-one inches less than two times Marcia's height. Add 73 + 21 to equal 94. Since Carl is 21 inches less that means that Maria is 21 inches more ( so that's why I added instead of subtracting) because we are trying to find Maria's equation.
Let x be Marcia's height
2x = 94
• The question staes that 73 is 21 inches less than two times Marcia's height which means that the equation 2x = 94 applies because 73 + 21 = 94
After simplifying the equation, we can get the answer that Marcia is 47 inches tall.
Answer:
Step-by-step explanation:
K = A + 17
K + A = 117
A + 17 + A = 117
2A + 17 = 117
2A = 117 - 17
2A = 100
A = 100/2
A = 50 <=== what Allen sold
K + A = 117
K + 50 = 117
K = 117 - 50
K = 67 <==== what Kay sold
Since the order of selection does not matter, we will use combinations to solve this problem.
We are to form the combination of 30 objects taken 6 at a time. This can be expressed as 30C6.
This means the six teachers can be selected in 593775 ways.
So the correct answer is option A
Answer:
8x^8/3 y^4 - The first option
Step-by-step explanation:
The first thing we need to do is the exponent outside the bracket and leave the 8 till last, because exponents always come before multiplying coefficients. When an term with an exponent is multiplied by another exponent outside a bracket, the exponents of both terms are multiplied by the exponent outside the bracket.
This means that the expression is now:
8(x^2*4/3 y^3*4/3)
First we can so the x term. The x term already has an exponent of 2, so the 2 is multiplied by the 4/3 exponent outside the bracket. 2*4/3 = 8/3, so the x term is now: x^8/3
The same happens to the y term: 3*4/3 simplifies to 4, so the y term is now y^4.
So now our expression is:
8(x^8/3 y^4)
Now the 8 outside the bracket simply multiplies on to the whole term so we finish with:
8x^8/3 y^4 - The first option.
Hope this helped!
