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d1i1m1o1n [39]
4 years ago
7

The sum of a number and two times a smaller number is 62. Three times the bigger number exceeds the smaller number by 116. The b

igger number is . The smaller number is .
Mathematics
1 answer:
Korvikt [17]4 years ago
8 0
<span>x + 2y = 62
3x - y = 116
---
put the system of linear equations into standard form
---
x + 2y = 62
3x - y = 116
---

</span>
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Select all of the potential solution(s) of the equation 2log5x = log54.
Vanyuwa [196]

Answer:

x = ±2

Step-by-step explanation:

A equation is given to us , which is ,

\longrightarrow 2log_5(x) = log_5 4

From <u>properties </u><u>of </u><u>logarithm </u>we know that ,

\longrightarrow alog\ m = log \ m^a

Applying this to LHS , we have ;

\longrightarrow log_5 x^2 = log_5 4

Now the bases of logarithm on LHS and RHS is same . On comparing , we have ;

\longrightarrow x^2 = 4

Put square root on both sides,

\longrightarrow x =\sqrt{4}

Simplify ,

\longrightarrow \underline{\underline{ x =\pm 2 }}

This is the required answer.

6 0
2 years ago
300 ml over 15 min is what rate of ml per hour
Mama L [17]

Answer:

1200 ml per hour

Step-by-step explanation:

To compute what rate is 300 ml over 15 mins as a rate of ml per hour, we do a rule of 3, using a variable x as that amount of ml we don't know yet. We should have everything in the same units, so instead of writing 1 hour we write 60 minutes:

\frac{300~ml}{15~min}=\frac{x~ml}{60~mins}

Now we solve for x:

\frac{300~ml}{15~min}\cdot 60~mins=x~ml

\frac{18000~ml}{15} =x~ml

1200~ml =x~ml

And so, now that we know the value of x, the rate we wanted to find is

\frac{1200~ml}{60~mins}

Which is just 1200 ml per hour.

3 0
3 years ago
Will spent $3.75 for 3 pounds of granola. What is his unit rate in dollars per pound?
Lady_Fox [76]

Answer:

$1.25 per pound

Step-by-step explanation:

$3.75/3 = 1 pound price

6 0
3 years ago
Read 2 more answers
What quadrant would points (-4,3) lie
IrinaK [193]
You would move 4 to the left and 3 up
5 0
3 years ago
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A clock that loses 5 seconds each hour has not been reset for 48 hours. What time does the clock show if the correct time is 8:4
Feliz [49]

Answer:

It is 8:45

Step-by-step explanation:

The clock is 4 minutes behind if you do the math.

5 0
2 years ago
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