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4 years ago

What is the solution 7^x=49

Mathematics

1 answer:

Ede4ka [16]4 years ago

6 0

Answer:

x=2

Step-by-step explanation:

Divide 49 by 7, and you get 7 which is a perfect square

Let's test it out!

7^x=49

7^(2)=49

49=49

It works out!

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Two cars traveled equal distances in different amounts of time. Car A traveled the distance in 2 h, and Car B traveled the dista

lidiya [134]

Recall your d = rt, distance = rate * time.

notice, the distance are the same, say it was "d" miles.

and if car A is travelling at a speed of say "r" mph, then B is going at "r+15" mph.

$\bf \begin{array}{lccclll}
&\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{time}\\
&------&------&------\\
\textit{Car A}&d&r&2\\
\textit{Car B}&d&r+15&1.5
\end{array}
\\\\\\
\begin{cases}
\boxed{d}=2r\\
d=1.5(r+15)\\
----------\\
\boxed{2r}=1.5(r+15)
\end{cases}
\\\\\\
2r=1.5r+22.5\implies 0.5r=22.5\implies r=\cfrac{22.5}{0.5}\implies \boxed{r=\stackrel{mph}{45}}$

how far is B going? well, r + 15.

5 0

4 years ago

Read 2 more answers

The manager of a 100-unit apartment complex knows from experience that all units will be occupied if the rent is $800 per month.

Ede4ka [16]

800 * 100 = 80000
810 * 99 = 80190
900 * 90 = 81000
1000 * 80 = 80000
(800 + 10n) (100-1n)
=(800 +10(11)) (100 - 11)<span> (910)(89) = 80990</span>

6 0

3 years ago

Can anyone help me with this problem? Im really confused. If you could please,, explain it to me? I would really appreciate it.

Molodets [167]

Answer:

Below in bold.

Step-by-step explanation:

Amount originally in the cup = amount she drank + amount remaining

= 17 * 4.5 + 148.5

= 76.5 + 148.5

= 225 milliliters.

The time she takes to drink the 148.5 mL = 148.5 / 4.5

= 33 seconds.

So time to drink it all = 17 +33 = 50 seconds.

4 0

4 years ago

Select two ratios that are equivalent to

aliina [53]

Answer:

21 : 30 and 35 : 50

4 0

3 years ago

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Find the value of X or Y so that the line through the points has the given slope. (X, 0) and (4,1); slope: 1/5

Ronch [10]

Point slope formula:
(y₂ -y₁) = m(x₂ - x₁)
(1 - 0) = $\frac{1}{5}$ (4 - X)
1 = $\frac{4}{5} - \frac{1}{5} X$
$\frac{1}{5} = -\frac{1}{5} X$

-1 = X

8 0

3 years ago