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horsena [70]
3 years ago
6

One number is seven less than four times the other number. The sum of the two numbers is 93. Find the numbers.

Mathematics
1 answer:
ivann1987 [24]3 years ago
6 0

You can write the two equations x = 4y - 7 and x + y = 93; substitute the value of x into the other equation

(4y - 7) + y = 93; combine like terms

5y - 7 = 93; add 7 to both sides

5y = 100; divide both sides by 5

y = 20; substitute this value into the other equation

x + 20 = 93

x = 73

So the numbers are 20 and 73

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From the diagram below, if the sides AD = 3 and DC = 27, and BD = X + 3, find x.
Colt1911 [192]

Given:

• AD = 3

,

• DC = 27

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• BD = x + 3

Let's solve for x.

To solve for x, apply the altitude formula:

\frac{AD}{BD}=\frac{BD}{DC}

Where BD is the altitude.

Cross multiply:

BD^2=AD*DC

Plug in the values and solve for x:

\begin{gathered} (x+3)^2=3*27 \\  \\ (x+3)^2=81 \end{gathered}

Take the square root of both sides:

\begin{gathered} \sqrt{(x+3)^2}=\sqrt{81} \\  \\ x+3=9 \\  \\ \text{ Subtract 3 from both sides:} \\ x+3-3=9-3 \\  \\ x=6 \end{gathered}

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ANSWER:

d. 6

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1 year ago
Need help with this question
OverLord2011 [107]

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