Answer:
<h3>2x+2y = 100</h3>
Step-by-step explanation:
Total number of points in the test = 100points
If the test has x questions worth 2 points apiece, then the total number of points for x questions with 2 points each will be 2 * x i.e 2x........ 1
Also, if y questions worth 4 points apiece then the total number of points for y questions with 4 points each will be 4 * x i.e 4x ....... 2
Total points = eqn 1 + eqn 2
100 = 2x+ 2y
Rearrange
2x+2y = 100
Hence an equation in Standard Form that would model this situation is 2x+2y = 100
Answer:
41 people attended the party
Step-by-step explanation:




Because ABCD is a rhombus, ΔABC ~ ΔADC.
The length of AC = 4 (the base of ΔABC.
The height of ΔABC = 7 - 1 = 6
The area of ΔABC is
(1/2)*4*6 = 12
Therefore the area of ABCD = 2*12 = 24
Answer: 24
Chuck has a gross pay of $815.70. His gross pay will be reduced by:
- Federal tax of $56;
- Social Security tax that is 6.2% of his gross pay;
- Medicare tax that is 1.45% of his gross pay;
- State tax that is 19% of his federal tax.
Let's count:
1. gross pay of $815.70 - 100%,
Social Security tax of $x - 6.2%.
Then

2. gross pay of $815.70 - 100%,
Medicare tax of $y - 1.45%.
Then

3. Federal tax of $56 - 100%,
State tax $z - 19%.
Then

4. Chuck’s gross pay will be reduced by

Equal to 4.73 repeating, rounded is 4.7