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3 years ago

What are the algerbraic expression for the word expression: the quotient of c and 8

Mathematics

1 answer:

FromTheMoon [43]3 years ago

7 0

Answer:

→

I used

as the unknown number

Explanation:

The quotient is the result of division between two numbers.

The quotient of a number (I used

) and

would be

Step-by-step explanation:

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Please hurry thank you

emmasim [6.3K]

Answer:

7.9 ft

Step-by-step explanation:

The hypotenuse is the side opposite of the right angle, hence the hypotenuse for this triangle is 11 ft.

Side $x$ is adjacent to the angle given. So we need adjacent and we have hypotenuse. Which trigonometric ratio relates adjacent and hypotenuse? It is COSINE.

Thus, we can write:

$cos(A)=\frac{adjacent}{hypotenuse}\\cos(44)=\frac{x}{11}$

Cross multiplying, we can solve for $x$ :

$cos(44)=\frac{x}{11}\\x=cos(44)*11\\x=7.91$

Rounding to nearest tenth, we have $x=7.9$ ft.

6 0

3 years ago

Joe has $800 to spend on a new dining room table and chairs. If the sales tax is 8%, how much can he afford to spend on the ta

Lorico [155]

Answer:

Step-by-step explanation:

800x8%=64

64+800=864

4 0

4 years ago

Read 2 more answers

If no values are repeated, then a data set doesn’t have a mode. A. true B. false

Elza [17]

A. True, a mode would not exist and be considered irrelevant.

6 0

3 years ago

Read 2 more answers

The useful life of a certain piece of equipment is determined by the following formula: u=(8d)/h^2, where u is the useful life o

Anni [7]

Answer:

The correct answer is E.

Step-by-step explanation:

First I look for the relationships between the coefficients. The first term corresponds to the base value.

$\frac{8*d}{h^{2}} = \frac{8}{1} * \frac{d}{h^{2} }$

The second term corresponds to the value obtained when the density of the underlying material is doubled and the daily usage of the equipment is halved.

$\frac{2*8*d}{(0,5*h)^{2}} = \frac{16*d}{0,25 * h^{2}} = \frac{16}{0,25} * \frac{d}{h^{2} }$

With the I get the ratio of coefficients of $\frac{d}{h^{2}}$ :

$\frac{8}{1}$ = 8

$\frac{16}{0,25}$ = 64

Now I calculate the percentage increase in the useful life of the equipment as:

% = $\frac{64}{8}$ * %100 = %800

3 0

4 years ago

$100 is deposited at the end of every week for five years in an account that pays 14%/an, compounded weekly. (8) What type of an

Rainbow [258]

Annuities whose payments are made at the end of the period are "ordinary annuity" type

$\bf \qquad \qquad \textit{Future Value of an ordinary annuity}
\\\\
A=pymnt\left[ \cfrac{\left( 1+\frac{r}{n} \right)^{nt}-1}{\frac{r}{n}} \right]$

$\bf \qquad 
\begin{cases}
A=
\begin{array}{llll}
\textit{accumulated amount}
\end{array}
\\
pymnt=\textit{periodic payments}\to &100\\
r=rate\to 14\%\to \frac{14}{100}\to &0.14\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{weekly, thus}
\end{array}\to &52\\
t=years\to &5
\end{cases}
\\\\\\
A=100\left[ \cfrac{\left( 1+\frac{0.14}{52} \right)^{52\cdot 5}-1}{\frac{0.14}{52}} \right]$

6 0

3 years ago