The ratio of Isabella’s money to Shane’s money is 3:11
Isabella has $33.
We can make a proportion to solve for how much money Shane has.
A proportion is two ratios that are set equal to each other.
Let’s call Shane’s money ‘S’
We get this proportion: 3/11 = 33/x
If we cross multiply we get:
(33) * (11) = (3) * (x)
Simplifying it, we get:
363 = (3) * (x)
Divide both sides by 3, we get:
x = 121
However, the question asks how much money they have together.
Isabella + Shane = Total
33 + 121 = $154
<span>They have $154 together.</span>
Solving for the missing term and the missing coefficient (6a − )5a = ( ) a^2 − 35a
Let the missing term be X
Let the missing coefficient be Y
Therefore, (6a – X)5a = Y(a^2) – 35a
6a x 5a – X.5a = Y.a^2 – 35a
30a^2 – X.5a = Y.a^2 – 35a
Equating co-efficients,
30a^2 = Y.a^2; X.5a = 35a
30 = Y; 5X = 35
Y = 30; X = 7
Therefore, (6a-7)5a = 30 a^2 – 35a
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Answer:
Step-by-step explanation:
Container A = 75.36 x 17 = 1,281.12
Container B = 62.8 x 18 = 1,130.4
1,281.12 - 1,130.4 = 150.72 is left in container A.
So, 1,130.4 was taken out of it.
1,281.12 divided by 1,130.4 = 1.13
move the decimal over two to the right. Or times it by 100.
113%
The answer is 4. A function cannot have the same x value twice- 1 has two (2), 2 has all (1), 3 has two (-3), so 4 is the only answer.
The points of intersection for the two functions and round to the nearest tenth are (0.5, 1.4) and (4.85, -0.3)
<h3>System of equations</h3>
Given the following function
f(x) = - 0.5x + 2
g(x) = x^3 - 5x^2 + 3
The point of intersection is the point where f(x) = g(x)
x^3 - 5x^2 + 3 = - 0.5x + 2
x^3 - 5x^2 + 3 + 0.5x - 2 = 0
x^3 - 5x^2 + 0.5x + 1 = 0
Factorize and determine the value of x
x = 0.53 and 4.85
If x = 0.53
f(0.53) = -0.5(0.53) + 2
f(0.53) = -0.265 + 2
f(0.53) = 1.375
If x = 4.85
f(4.85) = -0.5(4.85) + 2
f(4.85) = -2.425 + 2
f(4.85) = -0.245
Hence the points of intersection for the two functions and round to the nearest tenth are (0.5, 1.4) and (4.85, -0.3)
Learn more on functions here: brainly.com/question/10439235
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