20.475
819/40= 20.475
Hope this helps <3
Perimeter formula:
perimeter = 2(length) + 2(width)
Plug in values and solve for width:
46 = 2(8) + 2(w)
46 = 16 + 2w
30 = 2w
w = 15
The width of the rectangle is 15 feet.
Hope this helps!! :)
The value of k is -6
Step-by-step explanation:
The general form of the quadratic equation is y = ax² + bx + c
- The roots of the equation is the values of x when y = 0
- ax² + bx + c = 0, is used to find the roots
∵ 2x² + 11x = -k
- Add k to both sides
∴ 2x² + 11x + k = 0
∵ The roots of the quadratic equations is the values of x when y = 0
∵ 
is a root of the equation
- Substitute x by in the equation above to find k
∵ 2( )² + 11( ) + k = 0
∴ 2( 
) + 
+ k = 0
∴ + + k = 0
- Add the like terms
∵ + = 
= 6
∴ 6 + k = 0
- Subtract 6 from both sides
∴ k = -6
The value of k is -6
Learn more:
You can learn more about the quadratic equations in brainly.com/question/8196933
#LearnwithBrainly
Answer:
$43,350
Step-by-step explanation:
To find the increase in the salary we need to find the percentage.
2 percent of $42,500 = $850.
$42,500 + $850 = $43,350.
New salary = $43,350.
The total monthly cost of the two companies will be the same for 30 texts.
<u>Step-by-step explanation:</u>
It is given that,
- The variables used here are x and y.
- y represent the total monthly cost.
we know that, x must represent the number of texts in a month.
The monthly texting plan of All Star Cell is $11 per month and $0.25 per text.
⇒ y = 11 + 0.25x --------(1)
The monthly texting plan of Top Line Cell is $14 per month and $0.15 per text.
⇒ y = 14 + 0.15x --------(2)
<u>To find the no.of texts for which the total monthly cost of the two companies be the same :</u>
⇒ Total cost of All Star Cell = Total cost of Top Line Cell
⇒ 11 + 0.25x = 14 + 0.15x
⇒ 0.25x - 0.15x = 14 - 11
⇒ 0.1x = 3
⇒ x = 3 / 0.1
⇒ x = 30 texts.
The total monthly cost of the two companies will be the same for 30 texts.
