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Reptile [31]
3 years ago
9

The average of two numbers is 7. Find the numbers if three times one of the numbers is one half the other number. (Hint: write a

system to determine the correct numbers)
Mathematics
1 answer:
goldfiish [28.3K]3 years ago
3 0

X+y/2=7

X+y=14

3x=y/2

6x=y

X+6x=4

7x=14

X=2

Y=6*2=12

X=2

Y=12


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I don't know how to do this or what i'm doing plz help
mote1985 [20]

recalling that d = rt, distance = rate * time.


we know Hector is going at 12 mph, and he has already covered 18 miles, how long has he been biking already?


\bf \begin{array}{ccll} miles&hours\\ \cline{1-2} 12&1\\ 18&x \end{array}\implies \cfrac{12}{18}=\cfrac{1}{x}\implies 12x=18\implies x=\cfrac{18}{12}\implies x=\cfrac{3}{2}


so Hector has been biking for those 18 miles for 3/2 of an hour, namely and hour and a half already.

then Wanda kicks in, rolling like a lightning at 16mph.

let's say the "meet" at the same distance "d" at "t" hours after Wanda entered, so that means that Wanda has been traveling for "t" hours, but Hector has been traveling for "t + (3/2)" because he had been biking before Wanda.

the distance both have travelled is the same "d" miles, reason why they "meet", same distance.


\bf \begin{array}{lcccl} &\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{time}\\ \cline{2-4}&\\ Hector&d&12&t+\frac{3}{2}\\[1em] Wanda&d&16&t \end{array}\qquad \implies \begin{cases} \boxed{d}=(12)\left( t+\frac{3}{2} \right)\\[1em] d=(16)(t) \end{cases}


\bf \stackrel{\textit{substituting \underline{d} in the 2nd equation}}{\boxed{(12)\left( t+\frac{3}{2} \right)}=16t}\implies 12t+18=16t \\\\\\ 18=4t\implies \cfrac{18}{4}=t\implies \cfrac{9}{2}=t\implies \stackrel{\textit{four and a half hours}}{4\frac{1}{2}=t}

7 0
3 years ago
Estimate then find the product of 758×6
Maurinko [17]
700*6=4,200

<em>*4,200 as an estimate.</em>

---------------------------

6*(758)

=6(700+50+8)

=4,200+300+48

=4,200+348

=4,548
5 0
3 years ago
Read 2 more answers
URGENT PLEASE HELP! What is the slope of the line <br> y = -2x - 4?
Tju [1.3M]

Answer:

-2 is the slope

Step-by-step explanation:

4 0
3 years ago
38600 mg = n dag what does n equal???
Vlad [161]
Answer:
n = 3.68

Explanation:
We know that:
1 mg is equivalent to 0.0001 dag
To convert 38600 mg to dag, we will simply use cross multiplication as follows:
1 mg ..............> 0.0001 dag
38600 mg ......> n

n = (38600*0.0001) / 1
n = 3.68

Hope this helps :)
3 0
3 years ago
How can you add eight 8's to get the number 1,000? (only use addition)
Fudgin [204]
The answer is 888+88+8+8+8
6 0
3 years ago
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