Answer:
Therefore there are 35 number of 2-point questions and 15 number of 5-point questions.
Step-by-step explanation:
i) let the number of 2 point question is x.
ii) let the number of 5 point questions be y
iii) total number of questions is 50
iv) therefore x + y = 50
v) it is also given that 2x + 5y = 145
vi) solving for the two equations found in iv) and v). Multiplying iv) by 2 we get
2x + 2y = 100
vii) subtracting equation vi) from equation v) we get 3y = 45.
viii) Therefore y = 15.
ix) using the value in viii) and substituting in iv) we get x + 15 = 50.
Therefore x = 50 - 15 = 35
x) Therefore there are 35 number of 2-point questions and 15 number of 5-point questions.
Answer:
(5x² +7x -26) units²
Step-by-step explanation:
Area of shaded region
= Area of larger rectangle -area of smaller rectangle
Area of larger rectangle
= (3x -4)(2x +2)
= 3x(2x) +3x(2) -4(2x) -4(2) <em>(</em><em>Expand</em><em>)</em>
= 6x² +6x -8x -8
= 6x² -2x -8
Area of smaller rectangle
= (x -6)(x -3)
= x² -3x -6x +18 <em>(</em><em>Expand</em><em>)</em>
= x² -9x +18
Area of shaded region
= 6x² -2x -8 -(x² -9x +18)
= 6x² -2x -8 -x² +9x -18
= 5x² +7x -26
The equation of the car rental company in the form y = kx is; y = 18.50x
The equation y = kx is such that;
- k = constant of proportionality.
In essence; to determine the constant of proportionality, k in this case;
Since the company charges, $55.50 for 3 days; we have;
By evaluation k = $55.50/3
A constant rate of change means the variation in the dependent variable as dependent on the independent variable is constant
Read more:
brainly.com/question/19012756
Answer:
.5
Step-by-step explanation:
if you put 400 in an account and for nine months with 0.5 interest rate you would get 418.41 so 0.5 is the answer
<h2>
<em>Answer:</em></h2><h2>
<em>Yes</em></h2>
<em>Just </em><em>divide </em><em>1</em><em>6</em><em> </em><em>and </em><em>2</em><em>4</em><em> </em><em>by </em><em>8</em><em>,</em><em> </em><em>you </em><em>will </em><em>get </em><em>2</em><em>/</em><em>3</em><em> </em><em>as </em><em>a </em><em>result.</em>
<em>Hope </em><em>it</em><em> helps</em>
<em>Good </em><em>luck</em><em> on</em><em> your</em><em> assignment</em>
