Answer:
Let's begin by writing the mathematical equations given by the sentences.
Let X = smaller number
Let Y = larger number
The first sentence tells us
X + Y = 38
The second sentence tells us
X = Y/3 + 6
Since you weren't given a specific method to use, you can use either the substitution method or the elimination(addition) method, whichever works best for you.
Since the 2nd equation has the X isolated, I'm going to isolate the X in the first equation,
X = 38 - Y
Since both equations are equal to X, I can set them equal to one another and solve for Y.
Y/3 + 6 = 38 - Y
Y + 18 = 114 - 3Y
4Y = 96
Y = 24
Then use either of the two original equations to solve for X
X + Y = 38
X + 24 = 38
X = 14
Step-by-step explanation:
PLS MAKE ME AS BRAINLIST
14.5% = 0.145 = 145/1000
14.5 = 14500/1000
<span>So 14.5% is a hundredth the size of 14.5, so they are not equal and the friend is incorrect.</span>
The monthly budget plan for Judy includes all of her income and expenses, the total balance is $ 2362.92 and she spends $ 1083.
<h3>What is the monthly budget?</h3>
A monthly budget is a personal spending plan that you use to track your monthly income and costs.
The given data in the problem is;
Home pay = $2314.92/month.
Interest earned = $48 / month
House rent = $825/month
EMI of student loan = $258/month
Total earning per month = $2314.92 + $48
Total earning per month = $ 2362.92
Amount she spends per month = $825/month + $258
Amount she spends per month = $ 1083
Hence, the total balance will be $ 2362.92 and she spend $ 1083.
To learn more about the monthly budget refer to:
brainly.com/question/570904
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f(h(x))= 2x -21
Step-by-step explanation:
f(x)= x^3 - 6
h(x)=\sqrt[3]{2x-15}
WE need to find f(h(x)), use composition of functions
Plug in h(x)
f(h(x))=f(\sqrt[3]{2x-15})
Now we plug in f(x) in f(x)
f(h(x))=f(\sqrt[3]{2x-15})=(\sqrt[3]{2x-15})^3 - 6
cube and cube root will get cancelled
f(h(x))= 2x-15 -6= 2 x-21
