Answer:
Short-response question = 20.
Step-by-step explanation:
Let x be number of short response questions and y be the number of essay questions.
We have been given that there are 22 questions that are worth 100 points in total. Each short-response question is worth 4 points, and each essay question is worth 10 points. Using our given information we can form a system of equations as:
Now we will solve our system of equations using substitution method.
From equation 1 we will get,
Upon substituting in equation 2 we will get,
Therefore, there are 20 short-response questions on the exam.
Answer:
a = 30°
Step-by-step explanation:
We need to find the value of a.
We know that, a straight line makes an angle of 180°.
In this case,
a+3a+2a = 180
6a = 180
a = 30°
So, the value of a is equal to 30°.
The pattern is: Ducks always swim on that pond <em><u>in powers of 2</u></em> .
Monday ........ 2⁰ = 1
Tuesday ........ 2¹ = 2
Wednesday ... 2² = 4
Thursday ....... 2³ = 8
So
Friday ........... 2⁴ = 16
<em>Saturday ...... 2⁵ = 32</em> <=== the answer
AND ...
If they kept doing this for a month, then
on the 31st day there would be
2³⁰ = <em>1,073,741,824</em> (more than 1 billion) ducks out there !
Answer:
{-1, 0, 1, 2}
Step-by-step explanation:
Answer: t = 77
Step-by-step explanation:
To solve for t, we will simplify and isolate the variable.
Given:
65 = t - 5 - 7
Combine like terms:
65 = t - 12
Add 12 to both sides of the equation:
77 = t
