Answer:
A person needs to write each month 1.17 checks for the two banks to charge the same amounts in fees.
Step-by-step explanation:
You can write an equation in which the amount charged by bank a is equal to the amount charged by bank b. The amount bank a charges is 6 plus 0.10 for the number of checks written and the amount bank b charges is 5.20 for the number of checks written.
6+0.10x=5.20x, where x is the number of checks written
Now, you can solve for x to find the number of checks written where the two banks charge the same amounts in fees:
6=5.20x-0.10x
6=5.10x
x=6/5.10
x=1.17
According to this, the answer is that a person needs to write each month 1.17 checks for the two banks to charge the same amounts in fees.
EDIT: I copied the problem wrong
Line thru (-3,-5) and (6,1) in standard form.
Point point form for the line joining (a,b) and (c,d) is
(c-a)(y-b) = (d-b)(x-a)
(6 - -3)(y - -5) = (1 - -5)(x - - 3)
9(y + 5) = 6(x + 3)
9y + 45 = 6x + 18
27 = 6x - 9y
2x - 3y = 9
Ax + By = C
That satisfies the constraints,
A=2, B=-3, C=9
A+B+C=8
Answer: 8
Check: 2x - 3y = 9 thru (-3,-5) and (6,1)
2(-3)-3(-5)= -6 + 15 = 9 good
2(6) - 3(1) =12 - 3 = 9, good
Answer:
<h2>Area = 14x + 21 square units</h2>
Step-by-step explanation:
The formula of an area of a square with side length <em>a</em>:
The big square:
Substitute:
<em>use</em>
The small square:
Substitute:
<em>use</em>
The area of a shaded region:
Substitute:
<em>combine like terms</em>
Answer:
In 20 days he will waste 20 * 1/2 = 10 rotis . They have consumed 110 rotis in 20 days , so they have taken 110 + 10 = 120 rotis. (10 are wasted). Rosa ate x rotis and Varun ate 2x rotis . So x + 2x = 120 ⇒ 3x = 120 ⇒ x = 120/3 ⇒ x = 40
Varun ate 80 (2x) and Rosa ate 40 (x)
Step-by-step explanation:
Answer:
$7.23
Step-by-step explanation:
(2 x 2.49) + (3 x .75) = 4.98 + 2.25 = $7.23