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LuckyWell [14K]
3 years ago
6

Add and simplify 7/8+ 1/6

Mathematics
2 answers:
VLD [36.1K]3 years ago
7 0

Answer:

25/24 or 1 1/24

Step-by-step explanation:

Convert both the fraction so they have the same denominator

7/8  and 1/6. the denominators LCF is 24

Whatever number you multiply the denominator by you always use the same number for the numerator.

7/8 * 3 = 21/24

1/6 * 4 = 4/24

21/24 + 4/24 = 25/24

25/24 = 1    1/24

Svet_ta [14]3 years ago
4 0

Answer:

17/24

Step-by-step explanation:

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densk [106]
It's 3/2. wat else u need?
8 0
3 years ago
The time t required to drive certain distance varies inversely with the speed r. It takes 2 hours to drive the distance at 40 mi
Roman55 [17]

Answer:

\frac{16}{9}  hours

Step-by-step explanation:

Whenever 2 quantities (suppose a and b) are inversely proportional to each other, we can write an proportionality equation (with k as proportional constant) as:

a=\frac{k}{b}

Since, here t is INVERSELY PROPORTIONAL to r, we can say:

t=\frac{k}{r}

Firstly, we have t = 2 hour and r = 40 mph, so we find k:

t=\frac{k}{r}\\2=\frac{k}{40}\\k=2*40\\k=80

Now, secondly, we have r = 45 and k = 80, we need to find t:

t=\frac{80}{45}\\t=\frac{16}{9}

So, it would take  \frac{16}{9}  hours

4 0
3 years ago
The left and right page numbers of an open book are two consecutive integers whose sum is 23. Find these page number.
zavuch27 [327]

Answers: The page numbers are 11 and 12

==========================================================

Explanation:

Consecutive integers are ones that follow immediately after another. For example, the set {7,8,9,10} are consecutive.

Let,

  • x = first page, some positive whole number
  • x+1 = second page, follows immediately after page x

Adding those two said pages will lead to 23

first + second = 23

(x) + (x+1) = 23

2x+1 = 23

2x = 23-1

2x = 22

x = 22/2

x = 11 is the first page

x+1 = 11+1 = 12 is the second page

Check: 11+12 = 23 which confirms the answers.

8 0
2 years ago
You can draw a quadrilateral with two sets of parallel lines and no right angles?
bonufazy [111]
Yes you can. The quadrilateral that you would get is called parallelogram. It has 2 paris of parallel lines. and 2 pairs of equal angles. one pair is angles that are less than 90 degrees and other one is where 2 angles are greater than 90 degrees each. Therefore there isnt any right angle there and you got yourself quadrilateral. of these 2 parallel lines are of equal lenght than you get something called rhombus.
8 0
3 years ago
A country's population in 1994 was 182 million. In 2002 it was 186 million. Estimate the population in 2004 using the exponentia
iogann1982 [59]
\bf =ae^{kt}\qquad 
\begin{cases}
1994\impliedby \textit{year 0, starting point}\\
t=0\qquad P=182
\end{cases}\implies 182=ae^{k0}
\\\\\\
182=a\cdot e^0\implies 182=a\cdot 1\implies 182=a
\\\\\\
thus\qquad P=182e^{kt}\\\\
-------------------------------\\\\

\bf P=182e^{kt}\qquad 
\begin{cases}
2002\impliedby \textit{8 years later}\\
t=8\qquad P=186
\end{cases}\implies 186=182e^{k8}
\\\\\\
\cfrac{186}{182}=e^{8k}\implies ln\left( \frac{93}{91} \right)=ln(e^{8k})\implies ln\left( \frac{93}{91} \right)=8k
\\\\\\
\cfrac{ln\left( \frac{93}{91} \right)}{8}=k\implies 0.0027\approx k\implies \boxed{P=182e^{0.0027t}}

what's the population in 2004?  well,  from 1994 to 2004 is 10 years later, so t = 10

plug that in, to get P for 2004
3 0
3 years ago
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