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4 years ago

A map has a scale of 4cm. to 12 km. what distance does 16 cm represent

Mathematics

1 answer:

Assoli18 [71]4 years ago

4 0

16/4=4
4*12=48km
......

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The formula for the resistance of a conductor with voltage V and current / is t= V over I. Solve for V.

Maru [420]

T=V/I
multiply both sides by I to get rid of fraction
tI=V

6 0

4 years ago

The area of rectangular field is (49m2-42m+9).Find the dimensions of the field

Drupady [299]

Answer:

The dimensions are (7m-3) by (7m-3)

Step-by-step explanation:

We have the area of the rectangular field to be:

$49 {m}^{2} - 42m + 9$

We need to factorize this expression.

Let us rewrite to obtain:

${(7m)}^{2} - 2(7 \times 3)m + {3}^{2}$

We can easily see that the expression is actually a perfect square trinomial.

This gives us:

$(7m - 3)^{2}$

$(7m - 3)(7m - 3)$

6 0

3 years ago

X = y - 3<br> 2x + y = 12<br> pls hurry i need badly

vfiekz [6]

$\huge \colorbox{yellow}{Question}$

$2x + y = 12$

$\huge \colorbox{yellow}{Answer}$

$x = y - 3 \: (equation \: 1)$

$2x + y = 12 \: (equation \: 2)$

Substituting the value of x in

( equation 2)

$2x + y = 12$

$2(y - 3) + y = 12$

$2y - 6 + y = 12$

$2y + y = 12 + 6$

$3y = 18$

$y = 18 \div 3$

$y = 6$

Now we get y = 6

Substituting the value of y in

( equation 1 )

$x = y - 3$

$x = 6 - 3$

$x = 3$

Now we get x = 3

$\huge \mathsf\red{Final \: Answer}$

5 0

3 years ago

Kelly deposits $3,000 at a rate of 5.2% compounded quarterly. With no additional deposits or withdrawals, what is the account ba

lorasvet [3.4K]

$\bf ~~~~~~ \textit{Compound Interest Earned Amount}
\\\\
A=P\left(1+\frac{r}{n}\right)^{nt}
\quad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to &\$3000\\
r=rate\to 5.2\%\to \frac{5.2}{100}\to &0.052\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{quarterly, thus four}
\end{array}\to &4\\
t=years\to &10
\end{cases}
\\\\\\
A=3000\left(1+\frac{0.052}{4}\right)^{4\cdot 10}\implies A=3000(1.013)^{40}
\\\\\\
A\approx 5029.201878874637$