1/10x + 6 = 2/5x
6 = 2/5x - 1/10x
6 = 4/10x - 1/10x
6 = 3/10x
6 / (3/10) = x
6 * 10/3 = x
60/3 = x
20 = x <=== the gas tank can hold 20 gallons
Answer: a
Step-by-step explanation: Because……….
The scale factor from A to B is 5/3 and the value of r is 33/5
<h3>The scale factor from A to B</h3>
From the figure, we have the following corresponding sides
A : B = 5 : 3
Express as fraction
B/A = 3/5
This means that, the scale factor from A to B is 5/3
<h3>The value of r</h3>
From the figure, we have the following corresponding sides
A : B = 11 : r
Express as fraction
B/A = r/11
Recall that:
B/A = 3/5
So, we have:
3/5 = r/11
Multiply by 11
r = 33/5
Hence, the value of r is 33/5
Read more about similar shapes at:
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Answer: A) y = 3x + 2
Step-by-Step Explanation:
Let ‘x’ be the number of months
Let ‘y’ be the total no. of books he read
Given:
He read 2 books before joining (+2)
He plans to read 3 books per month (3x)
Equation:
= Total no. of books = 3 multiplied by the no. of months + 2 books he had read
=> y = 3x + 2
Answer:
D
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Subtract the sum of the 2 given angles from 180
x = 180° - (90 + 35)° = 180° - 125° = 55°
----------------------------------------------------------
Since the triangle is right use the cosine ratio to solve for b
cos35° = 
= 
Multiply both sides by 20
20 × cos35° = b, hence
b = 16.38 ( to 2 dec. places )
