Package A is less expensive for Zach to send 250 multimedia texts each month.
<u>Step-by-step explanation:</u>
Given that,
Zach plans to send 250 multimedia texts each month.
Package A charges $0.25 per multimedia text with no monthly fees.
Package B charges $0.20 per multimedia text, but has a $15 monthly fee.
We need to find out which package is less expensive for Zach to add the plan.
<u>The cost of 250 multimedia texts by package A :</u>
⇒ Number of texts × cost per text
⇒ 250 × 0.25
⇒ 62.5
∴ The package A charges $62.5 for 250 multimedia texts.
<u>The cost of 250 multimedia texts by package B :</u>
⇒ (Number of texts × cost per text) + monthly fee
⇒ (250 × 0.20) + 15
⇒ 50 + 15
⇒ 65
∴ The package B charges $65 for 250 multimedia texts.
The Package A charges $62.5 which is less than package B charge of $65.
Hence, package A is less expensive.
Answer: 200+40x=600
Step-by-step explanation:
200+40x=600
600-200=400
40x=400
40/40= 1 or x
400/ 40=10
x=10
Answer:
slope = - 1
Step-by-step explanation:
Calculate the slope m using the slope formula
m = 
with (x₁, y₁ ) = (- 1, 4) and (x₂, y₂ ) = (2, 1)
m = 
= 
= - 1
To determine the ratio, we need to know the formula of the area of an hexagon in terms of the length of its sides. We cannot directly conclude that the ratio would be 3, the same as that of the ratio of the lengths of the side, since it may be that the relationship of the area and length is not equal. The area of a hexagon is calculated by the expression:
A = (3√3/2) a^2
So, we let a1 be the length of the original hexagon and a2 be the length of the new hexagon.
A2/A1 = (3√3/2) a2^2 / (3√3/2) a1^2
A2/A1 = (a2 / a1)^2 = 3^2 = 9
Therefore, the ratio of the areas of the new and old hexagon would be 9.
Some definitions:
Sum - the result of adding values together
Term - a single number or variable (includes variables multiplied by numbers)
Factor - a number or variable that divides another number or expression evenly
Quotient - the result of dividing values by one another
Coefficient - a numerical or constant value often in front of a variable
In your equation:
Sum - (5x + 1)
5x and 1 are being added together, although we do not know the sum exactly, we know that the sum is equal to the value of 5 times x plus 1.
Term - (5x, 1, 3y)
All terms given above are applicable.
Factor - (9)
9 has been taken out of the expression that it is now being multiplied, which shows that it was factored out of that expression
Quotient - (9(5x + 1) / 3y)
The value of 9(5x + 1) is being divided by 3y. Though we do not know the quotient exactly, we know that the quotient is equal to the values given.
Coefficient - (5, 3)
Both 5 and 3 are numbers in front of variables.
Hope this helps!! :)
