Answer:
Microscopes cost $44 and Dissection Kits cost $11
Step-by-step explanation:
Using the information given, we can make the system of equations:
30x+48y=1848
x represents the price of microscopes and y represents the price of dissection kits.
We also know that microscopes will be 4x the price of dissection kits. Therefor:
x=4y
We can plug these two equations together to find the answer.
30(4y)+48y=1848
120y+48y=1848
168y=1848
y=11
Using the y-value, can find the x-value.
x=4(11)
x=44
We would need the data of their classmates scores to complete this answer
<h2>
Answer:</h2>
0 - 17i
<h2>
Step-by-step explanation:</h2>
Given expression;
i⁸⁰ + i³⁸ - i17
To express the expression in the form a+bi;
<em>i. Rewrite the expression such that it contains terms in i²</em>
(i²)⁴⁰ + (i²)¹⁹ - i17
<em>ii. Solve the result from (i) above using the identity i² = -1</em>
We know that the square root of -1 is i. i.e

<em>Squaring both sides gives</em>
<em>=> </em>
<em />
=> -1 = i²
Therefore,
i² = -1
<em>Substitute i² = -1 in step (i) above</em>
(-1)⁴⁰ + (-1)¹⁹ - i17
<em>(iii) Solve the result in (ii)</em>
We know that the when a negative number is raised to the power of an even number, the result is a positive number. If it is raised to the power of an odd number, the result is a negative number. Therefore,
(-1)⁴⁰ + (-1)¹⁹ - i17 becomes
1 + (-1) - i17
0 - i17
<em>(iv) Write the result from (iii) in the form a+bi</em>
0 - 17i