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olganol [36]
3 years ago
11

Find two numbers if their difference is 16 and their ratio is 5:7.

Mathematics
2 answers:
lidiya [134]3 years ago
5 0

Answer:

The two numbers are 56 and 40.

Step-by-step explanation:

I don't really know how to explain this but I know that my answer is right.

Sorry.

myrzilka [38]3 years ago
3 0

Let us say that the numbers are x and y. The given clues are:

1. x – y = 16         (so x is the larger number)

2. y / x = 5 / 7

 

rewriting eqtn 2 in terms of y:

y = (5/7) x

 

combining 1 and 2:

x – (5/7) x = 16

(2/7) x = 16

x = 56

 

y = (5/7) x = 40

 

So the two numbers are 56 and 40.

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Given the pay rate and hours worked, determine the gross earnings, Federal taxes (assuming 18% of gross earnings), state taxes (
ella [17]

Answer:

Let us assume that the pay rate per hour = x

no. of hours worked = n

Gross earnings = x*n

Federal taxes = 18% of gross earnings

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State taxes = 4% of gross earnings

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Social security deduction = 7.05% of gross earnings

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Total deductions = Federal taxes + State taxes +SSD

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= 0.2905(x*n)

Net pay = Gross earnings - Total Deduction

Net pay = x*n - 0.2905(x*n)

Net pay = 0.7095(x*n)

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2 years ago
Kenny takes a cab to the airport. He is charged $2.56 per mile. Kenny pays the driver a total of $59.72 for the trip which inclu
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Kenny traveled 19.5 miles

Step-by-step explanation:

8 0
3 years ago
Please help differentiate this!!!!!!!!!
vlada-n [284]
\bf h=20ln(3t+2)+30\\\\
-------------------------------\\\\
\boxed{a}\\\\
\stackrel{0~years}{t=0}\qquad h=20ln[3(0)+2]+30\implies h=20ln(2)+30
\\\\\\
h\approx 43.86
\\\\\\
\boxed{b}\\\\
\stackrel{1~meter}{h=100}\qquad 100=20ln(3t+2)+30\implies 70=20ln(3t+2)
\\\\\\
\cfrac{70}{20}=ln(3t+2)\implies \stackrel{\textit{log cancellation rule}}{e^{\frac{7}{2}}=e^{ln(3t+2)}}\implies e^{\frac{7}{2}}=3t+2
\\\\\\
e^{\frac{7}{2}}-2=3t\implies \cfrac{e^{\frac{7}{2}}-2}{3}=t\implies 10.371817\approx t

\bf \boxed{c}\\\\
\cfrac{dh}{dt}=20\left(\cfrac{1}{3t+2}\cdot 3  \right)+0\implies \cfrac{dh}{dt}=20\left(\cfrac{3}{3t+2} \right)\\\\\\ \cfrac{dh}{dt}=\cfrac{60}{3t+2}
\\\\\\
\left. \cfrac{dh}{dt}  \right|_{3}\implies \cfrac{60}{3(3)+2}\implies \cfrac{60}{11}
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5 0
3 years ago
Read 2 more answers
Laura is a single taxpayer, she has $35,000 in ordinary taxable income and $5,000 in capital gains on an investment she held for
Kay [80]

Going by the information given above, Laura is most likely going to belong to the tax bracket where the rate payable is 12%. This is because she is a single filer and her income is between $10,276 and $41,775.

<h3>What is a tax bracket?</h3>

Tax brackets are a series of income and tax layers by which people are defined based on how much they earn per annum.

The tax rates range from 10% to 37%. The rate applicable to a person or group of persons depends on

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It is to be noted that a general answer was provided here due to insufficient details in the question.

Learn more about tax brackets at:

brainly.com/question/1615513

#SPJ1

6 0
2 years ago
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