Answer: It would cost $150 for a party of 9 people and it would cost $260 for 20 people
Step-by-step explanation:
The number 9 falls in between 0<n<_ 12 so the cost is 150
The number 20 falls in between 12<n<_ 20 so the cost is 260
<h2>
Answer:</h2>



<h2>
Step-by-step explanation:</h2>
a. 2x^-3 • 4x^2
To solve this using only positive exponents, follow these steps:
i. Rewrite the expression in a clearer form
2x⁻³ . 4x²
ii. The position of the term with negative exponent is changed from denominator to numerator or numerator to denominator depending on its initial position. If it is at the numerator, it is moved to the denominator. If otherwise it is at the denominator, it is moved to the numerator. When this is done, the negative exponent is changed to positive.
In our case, the first term has a negative exponent and it is at the numerator. We therefore move it to the denominator and change the negative exponent to positive as follows;

iii. We then solve the result as follows;
= 
Therefore, 2x⁻³ . 4x² = 
b. 2x^4 • 4x^-3
i. Rewrite as follows;
2x⁴ . 4x⁻³
ii. The second term has a negative exponent, therefore swap its position and change the negative exponent to a positive one.

iii. Now solve by cancelling out common terms in the numerator and denominator. So we have;

Therefore, 2x⁴ . 4x⁻³ = 
c. 2x^3y^-3 • 2x
i. Rewrite as follows;
2x³y⁻³ . 2x
ii. Change position of terms with negative exponents;

iii. Now solve;

Therefore, 2x³y⁻³ . 2x = 
Answer:
c. m∠2 = m∠5
Step-by-step explanation:
We can check 1 by 1 and find the false one.
For answer A, measures 2 and 4 are vertical angles, which means they are equal, so that's not false.
For answer b, measures 4 and 8 are corresponding angles, since X and Y are parallel, so that's also not false.
For answer c, measures 2 and 5 are supplementary to each other, and since the transversal is not perpendicular to X nor Y, they are not equal, therefore, this is false, making that the answer.
For answer d, measure 2 and 6 are corresponding angles, so that's also not false.
Therefore, the answer must be c.
<h2>
7 - 3 + (7 x 3) =
24 </h2>
Step-by-step explanation:
Here, the given expression is:
7 3 7 3 = 24
Here, to get the desired expression:
7 - 3 = 4
4 + ( 7 x 3 ) = 4 + (21) = 24 = Right Side.
So, the given expression can be written as:
7 - 3 + (7 x 3) = 24
Answer:
5/9 and 15/27 makes a proportion.
Step-by-step explanation:
5 x 27 = 135
9 x 15 = 135
Hope this helps.