Here are the answers provided below. I've created a table with various prospective values for x and y. I also included a graph of the equation to illustrate the corresponding points. If the answers seem accurate, I would appreciate it if you could consider me for Brainliest!
3 feet equals 1 yard. This simplifies to 12/3 = 4 and 15/3 = 5. Therefore, by multiplying these together, you find that each room requires 20 square yards, leading to a total of 40 square yards for both rooms.
Răspuns:
Mihai = 12kg
Maria = 15kg
Teodor = 13 kg
Explicație pas cu pas:
Să folosim x pentru cantitatea de plante medicinale adunate de Mihai.
Să denumim y cantitatea adunată de Maria.
Fie z cantitatea de plante medicinale adunate de Teodor.
În vacanța de vară, Mihai, Maria și Teodor au adunat în total 48 de kilograme de mentă;
x + y + z = 48......... 1
Dacă Maria a adunat cu 3 kilograme mai mult decât Mihai, atunci y = x + 3..... 2
Dacă Teodor a adunat de două ori mai puțin decât Mihai, atunci z = y - 2
Deci, z = (x + 3) - 2
Astfel, z = x + 1.... 3
Înlocuim ecuațiile 3 și 2 în ecuația 1;
<pDin ecuația 1:
x + y + z = 40
x + (x + 3) + (x + 1) = 40
3x + 4 = 40
Scădem 4 din ambele părți
3x = 36
x = 12
Substituim x = 12 în ecuația 2 pentru a determina y
y = x + 3
y = 12 + 3
y = 15
De asemenea, z se calculează astfel: z = x + 1
z = 12 + 1
z = 13
Astfel, Mihai a recoltat 12 kg de plante medicinale, Maria a adunat 15 kg, iar Teodor a strâns 13 kg.
When the sides are in a ratio of 11:16:24, it suggests they are multiples of a common variable x, based on these proportions.
The shortest side measures 11x feet, the middle side is 16x feet, and the longest measures 24x feet.
This indicates a perimeter of
feet. Given that the actual perimeter is 510 feet, we have:
.
Thus, the sides measure 110, 160, and 240 feet each.
To determine the area of the triangle with these three sides, Heron's formula is applicable. This formula states that, if 
represents half of the perimeter for a triangle with sides 
, the area 
is given by:
In this scenario, 
, so the formula adapts to:
P = Number of successful outcomes resulting in 4 on the final roll / Total outcomes.
Ways to get 4 only on the last attempt = 5 * 5 * 5 * 1 = 125 (the first three rolls have 5 options that are not 4, and for the last roll, only 4 is available (1 way)). The overall total number of outcomes = 6 * 6 * 6 * 6 = 1296. Thus, P = 125/1296.
I hope this helps you. Thank you for submitting your question.
