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Sedbober [7]
3 years ago
7

Traveling at 65 miles per hour, how many minutes, rounded to the nearest whole number, does it take to drive 125 miles from San

Diego to Malibu?
Mathematics
1 answer:
DENIUS [597]3 years ago
6 0
1h=60min\\\\65\ mi\ -\ 1\ h=60\ min\\\\125\ mi-\ x\ min\\\\cross\ multiply\\\\65\cdot x=125\cdot60\\\\65x=7500\ \ \ |divide\ both\ sides\ by\ 65\\\\x=\dfrac{7500}{65}\approx115\\\\Answer:\boxed{115\ min}
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How do I solve 6(5 - 2x) + 12 = -66?
ladessa [460]

Answer:

x = 9

Step-by-step explanation:

Step 1: Write equation

6(5 - 2x) + 12 = -66

Step 2: Solve for <em>x</em>

  1. Distribute 6: 30 - 12x + 12 = -66
  2. Combine like terms: 42 - 12x = -66
  3. Subtract 42 on both sides: -12x = -108
  4. Divide both sides by -12: x = 9

Step 3: Check

<em>Plug in x to verify it's a solution.</em>

6(5 - 2(9)) + 12 = -66

6(5 - 18) + 12 = -66

6(-13) + 12 = -66

-78 + 12 = -66

-66 = -66

5 0
4 years ago
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A town has a population of 14,000 and grows 5% every year. What will be the population after 14 years, to the nearest whole numb
hammer [34]

Answer:

23,800 people

Step-by-step explanation:

what is 5 % of 14,000- 700( 0.05 times 14,000)

700 times 14 is 9,800

9800 + 14000 is

0 0
4 years ago
I need help with 15/20
Mrac [35]
.75 is the answer because it looks like division
8 0
3 years ago
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Find the equation of the inverse.<img src="https://tex.z-dn.net/?f=y%20%3D%20%20%7B2%7D%5E%7Bx%20%2B%205%7D%20%20-%206" id="TexF
Contact [7]

Find the equation of the inverse.

y =  {2}^{x + 5}  - 6

we have

y=\mleft\{2\mright\}^{\mleft\{x+5\mright\}}-6

step 1

Exchange the variables

x for y and y for x

x=\{2\}^{\{y+5\}}-6

step 2

Isolate the variable y

(x+6)=2^{(y+5)}

apply log both sides

\begin{gathered} \log (x+6)=(y+5)\cdot\log (2) \\ y+5=\frac{\log (x+6)}{\log (2)} \\  \\ y=\frac{\log(x+6)}{\log(2)}-5 \end{gathered}

step 3

Let

f^{(-1)}(x)=y

therefore

the inverse function is

f^{(-1)}(x)=\frac{\log(x+6)}{\log(2)}-5

7 0
1 year ago
At Lawson Middle School, Mr. Hernandez asked 90 randomly selected students from each grade level for their favorite subject, and
kogti [31]
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