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Softa [21]
3 years ago
9

What is the answer to 1.5 / 2.5 equals 3.5 / d

Mathematics
1 answer:
Kay [80]3 years ago
8 0

Answer:

1.5/2.5 = 3.5/5.83recuring

Step-by-step explanation:


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If you sleep 33% in a day, how many hours is that?
strojnjashka [21]
We know that
one day is equal to 24 hrs
so
33 % of the day is equal to
(\frac{33}{100} )*24 \\ =7.92 hrs

the answer is
7.92 hrs
5 0
3 years ago
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What is the surface area of the triangular prism
Harrizon [31]

Answer:

surface \: a = 9 \times 5 \\  =  45ft \times 2 \\  =   {90}^{2} ft\\ surface \: b =  \frac{1}{2} bh \\  =  \frac{1}{2 }  \times 6 \times 4 \\  = 3 \times 4 \\  = 12 \times 2 \\  =  {144}^{2} ft \\  =  90 + 144 \\  =  {234}^{2} ft

3 0
3 years ago
Given a term and the common difference, find the explicit formula.<br> 8. a(19) = 135<br> d = 15
Rasek [7]

The explicit formula is a(n) = 15(n – 10)

<u>Solution:</u>

Given, a term a(19) = 135 and common difference d = 15

We have to find the explicit formula.

Now, we know that, a(n) = a + (n – 1)d where a(n) is nth term, a is first term, d is common difference,

So, for a(19)  

\begin{array}{l}{\rightarrow a(19)=a+(19-1) 15} \\\\ {\rightarrow 135=a+18 \times 15} \\\\ {\rightarrow a=135-270} \\\\ {\rightarrow a=-135}\end{array}

Now, we know that, an explicit formula is an expression for finding the nth term,  

So, in our problem, expression for finding nth term is a + (n – 1)d  

\begin{array}{l}{\rightarrow-135+(n-1) 15} \\\\ {\rightarrow-135+15 n-15} \\\\ {\rightarrow 15 n-150} \\\\ {\rightarrow 15(n-10)}\end{array}

Hence, the explicit formula is a(n) = 15(n – 10).

7 0
3 years ago
If you deposit $12,500 in an account that pays 4.5% interest quarterly, what is the balance after 8 years? How much did the acco
Masja [62]

In order to determine the balance of the account, use the following formula for the amount of money obtained after t years, basen on a compound interest:

A=P(1+\frac{r}{n})^{nt}

where,

P: principal = $12,500

A: amount earnt after t years = ?

r: interest rate in decimal form = 0.045 (4.5%)

n: times at year for the compund interes = 4 (quaterly)

Replace the previous values of the parameters into the formula for A and simplify:

\begin{gathered} A=12,500(1+\frac{0.045}{4})^{4\cdot8} \\ A=12,500(1+0.01125)^{32} \\ A=12,500(1.01125)^{32} \\ A=12,500(1.430451402) \\ A\approx17,880.64 \end{gathered}

Hence, the balance after 8 years is approximately $17,880.64 in the account.

The interest earnt by the account is given by the difference between the previous result and the principal invesment:

I = $17,880.64 - $12,500 = $5,380.64

Hence, the interest earnt is $5,380.64

3 0
1 year ago
Is 1/8 rational or irrational?
dlinn [17]

A number is rational if it can be written as the ratio of two integers.
The ratio of two integers is a fraction, and you just did it.  Your number
is the ratio of 1 to 8 .  It's about as rational as you can get.

<span>Here's a fun fact that's easy to remember:
<em>ANY</em> number that you can write down on paper, completely, with digits
and a decimal point or a fraction bar if you need them, is rational.</span>


3 0
3 years ago
Read 2 more answers
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