Question

Knowing that the sum of three numbers (a, b and c) is equal to 54 and they are directly proportional to 3, 5 and 7, calculate these three numbers.

98

likes
492 views

Answer to a math question Knowing that the sum of three numbers (a, b and c) is equal to 54 and they are directly proportional to 3, 5 and 7, calculate these three numbers.

Expert avatar
Dexter
4.7
114 Answers
1. Relacionamos os números a, b e c a uma constante de proporcionalidade k:
a = 3k,
b = 5k,
c = 7k.

2. Utilizamos a soma dos números para encontrar k:
3k + 5k + 7k = 54,
15k = 54,
k = 3.6.

3. Calculamos os valores dos números:
a = 3k = 10.8,
b = 5k = 18,
c = 7k = 25.2.

Portanto, os valores são:
a = 10.8, b = 18, c = 25.2.

Frequently asked questions (FAQs)
What is the measure of the third angle in a triangle if two angles are known to be 40° and 90°? (Angle sum formula)
+
What is the number of ways to choose 3 desserts out of 8 options?
+
What is the result of differentiating f(g(h(x))) using the chain rule, where f(x) = sin(x), g(x) = e^x, and h(x) = ln(x)?
+
New questions in Mathematics
1/2x +3 <4x-7
If O(3,-2) is reflected across x = 2. What are the coordinates of O
X^2 = 25
Determine the equations of the recipes that pass through the following pairs of points P1 (2;-1) and p2 (4;-1)
[(36,000,000)(0.000003)^2]divided(0.00000006)
The data set (75, 85, 58, 72, 70, 75) is a random sample from the normal distribution No(µ, σ). Determine a 95% two-sided confidence interval for the mean µ .
prove that if n odd integer then n^2+5 is even
-3(-4x+5)=-6(7x-8)+9-10x
. What will be the osmotic pressure of a solution that was prepared at 91°F by dissolving 534 grams of aluminum hydroxide in enough water to generate 2.784 ml of solution.
Quadratic equation 2X = 15/X + 7
5x+13+7x-10=99
(X+2)(x+3)=4x+18
Determine the Linear function whose graph passes through the points (6, -2) and has slope 3.
A buyer purchased a North Carolina home for $475,250. The seller allowed the buyer to assume his first small mortgage with a loan balance of $110,000. How much is the excise tax paid in the transaction? $951 $729.50 $950.50 $221 none of the above
a) Statistics scores are normally distributed with the mean of 75 and standard deviation of 7. What is the probability that a student scores between 80 and 88
The average undergraduate cost per tuition, fees, room, and board for all institutions last year was $26,025. A random sample of 40 institutions of higher learning this year indicated that the mean tuition, fees, room, and board for the sample was $27,690, and the population standard deviation is $5492. At the 0.05 level of significance, is there sufficient evidence that the cost has increased? (Remember to follow the steps in hypothesis testing)
8/9 divided by 10/6
How many moles are there in 235 grams of potassium thiosulfate pentahydrate? K2S2O3*5(H2O)
A person travels by car from one city to another with different constant speeds between pairs of cities. She drives for 55.0 min at 100.0 km/h, 14.0 min at 65.0 km/h, and 45.0 min at 60.0 km/h and spends 20.0 min eating lunch and buying gas. (a) Determine the average speed for the trip.
f(r) = 1/r+9 find f(x^2) + 1