Answer: The missing length is 16/3
Step-by-step explanation:
First, you have to find the proportional value between the two lengths on the first figure and the two lengths on the second figure.
The first figure’s lengths are 8 and 9, so the shorter length is 8/9 of the longer length.
Now apply the same proportional value to the second figure.
6 * 8/9 = 48/9
48/9 = 16/3
Work
÷
Keep the first fraction, change the sign, flip the second fraction.
x
=
Answer or
100
Zach have to send 300 number of multimedia texts for the same cost in two packages.
<u>Step-by-step explanation:</u>
Package A charges $0.25 per multimedia text with no monthly fees.
Package B charges $0.20 per multimedia text and has a $15 monthly fee.
<u>To frame the equations :</u>
- Let x be the any amount of multimedia texts are sent.
- Let y be the total cost for using the multimedia package.
<u>Package A Equation :</u>
Total cost = No.of text sent × cost per text.
⇒ y = x × 0.25
⇒ y = 0.25x
∴ The equation of package A is y = 0.25x
<u>Package B Equation :</u>
Total cost = (No.of text sent × cost per text) + Monthly fee
⇒ y = (x × 0.20) + 15
⇒ y = 0.2x + 15
∴ The equation of a package B is y = 0.2x + 15
Now, the question is about how many multimedia texts will Zach have to send each month for the two multimedia texting packages to be the same cost.
⇒ equation of package A = equation of package B
⇒ 0.25x = 0.2x + 15
⇒ 0.25x - 0.2x = 15
⇒ 0.05x = 15
⇒ x = 15 / 0.05
⇒ x = 300
∴ Zach have to send 300 number of multimedia texts for the same cost in two packages.
To find area (of squares and rectangles), you multiply the sides together. 1.5 (or one and a half; can't make mixed fractions well) times 1.5 doesn't make 1.5. In reality, it makes 2.25. Perimeter doesn't have much to do with area.
