Answer:
a = 60
b = 90
c = 150
Step-by-step explanation:
Numerele a, b și c sunt direct proporționale cu 2, 3 și 5.
Unde k este constantă de proporționalitate
a ∝ 2
a = 2k
b ∝ 3
b = 3k
c ∝ 5
c = 5k
Dacă media aritmetică a celor trei numere este egală cu 100, determinați numerele a, b și c
= 2k + 3k + 5k / 3 = 100
= 10k / 3 = 100
Cross Multiply
= 10k = 3 × 100
= 10k = 300
Împărțiți ambele părți la 10
k = 300/10
k = 30
Pentru numărul a
a = 2k
a = 2 × 30
a = 60
Pentru numărul b
b = 3k
b = 3 × 30
b = 90
Pentru numărul c
c = 5k
c = 5 × 30
c = 150
Prin urmare, a = 60, b = 90, c = 150
Option A:
I and III only the answers.
Solution:
Let white vases be "w" and red vases be "r".
Cost of total flower = $336
Cost of each vase = $11
Total cost of the centerpieces
= Cost of (white vases + red vases) + Cost of flowers
= 11(w + r) + 336
= 11w + 11r + 336
Total cost of the centerpieces = 11w + 11r + 336 = 11(w + r) + 336
Therefore I and III only the answers.
Option A is the correct answer.
Answer: -9 degrees Fahrenheit
Step-by-step explanation:
Given: Temperature at 6:00 AM = -12 degrees Fahrenheit
Temperature increased each hour =
degrees Fahrenheit
Temperature increase in 6 hours = 
Temperature at noon = Temperature at 6:00 AM+Temperature increase in 6 hours
= -12+3 degrees Fahrenheit
= -9 degrees Fahrenheit
Hence, the temperature in degrees Fahrenheit at noon= -9 degrees Fahrenheit
Answer: XY = 8
Step-by-step explanation:
The diagram of the triangle XYZ is shown in the attached photo.
XY=XZ. This means that two sides of the triangle are equal. Two angles are also equal. It means that the triangle XYZ is an isosceles triangle.
Since XY=XZ, then
2a = 5a - 12
Subtracting 2a from both sides of the equation,
2a - 5a = 5a - 12 - 5a
-3a = -12
a = -12/-3
a = 4
Therefore, the length of XY is 2a = 2×4 = 8
Answer:
2, 4, 37
Step-by-step explanation: