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Dmitry_Shevchenko [17]
3 years ago
12

Find the difference in length between a walking stick and a bumblebee PLS HELP HURRY​

Mathematics
1 answer:
Tanya [424]3 years ago
5 0

Difference between the lengths of walking stick and lengths of bumble bee is 3\frac{4}{8} inch.

Solution:

Given data represents the length of the insects.

Length of the walking stick = 4 in

Length of the bumble bee = \frac{5}{8} in

Difference between their length

                                        $=4-\frac{5}{8}

                                        $=\frac{4}{1} -\frac{5}{8}

To make the denominator same, multiply and divide the first term by 8.

                                        $=\frac{32}{8} -\frac{5}{8}

                                        $=\frac{32-5}{8}

                                        $=\frac{27}{8}

Now, change improper fraction into mixed fraction, we get

                                         $=3\frac{4}{8}

Difference between the lengths of walking stick and lengths of bumble bee is 3\frac{4}{8} inch.

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nikklg [1K]

Answer:

\frac{-117}{10}

Step-by-step explanation:

1) Change the mixed fractions into improper fractions:

-3\frac{1}{5} + (-8\frac{1}{2} )\\= \frac{-16}{5} - \frac{17}{2}

2) Multiply the first fraction by 2/2 and the second fraction by 5/5 in order to create common factors on the denominator (You can do this because you are essentially multiplying by one, for example 2/2 = 1):

\frac{-16}{5} *\frac{2}{2}  - \frac{-17}{2} * \frac{5}{5} \\ =\frac{-32}{10} - \frac{85}{10}

3) Simplify the numerator(top part) while keeping the denominator(bottom part) the same:

\frac{-32}{10} -\frac{85}{10}  \\\\=\frac{-32 - 85}{10}\\ \\= \frac{-117}{10}

5 0
3 years ago
Determine the ratio in which the point (–6, m) divides the join of A(–3, –1) and B(–8, 9). Also, find the value of m.
PSYCHO15rus [73]

Answer:

Ratio = 3 : 2 and value of m = 5.

Step-by-step explanation:

We are given the end points ( -3,-1 ) and ( -8,9 ) of a line and a point P = ( -6,m ) divides this line in a particular ratio.

Let us assume that it cuts the line in k : 1 ratio.

Then, the co-ordinates of P = ( \frac{-8k-3}{k+1},\frac{9k-1}{k+1} ).

But, \frac{-8k-3}{k+1} = -6

i.e. -8k-3 = -6k-6

i.e. -2k = -3

i.e. k = \frac{3}{2}

So, the ratio is k : 1 i.e \frac{3}{2} : 1 i.e. 3 : 2.

Hence, the ratio in which P divides the line is 3 : 2.

Also, \frac{9k-1}{k+1} = m where k = \frac{3}{2}

i.e. m = \frac{\frac{9 \times 3}{2}-1}{\frac{3}{2}-1}

i.e. m = \frac{27-2}{3+2}

i.e. m = \frac{25}{5}

i.e. m = 5.

Hence, the value of m is 5.

4 0
2 years ago
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We start with
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The new principal after the latest payment is $1,117.60.
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Answer:

Semiannual payment = $ 1391.37

Total payment = $ 8348.22

Interest paid =  $ 848.22

Step-by-step explanation:

Since, the semiannual payment formula of a loan,

P=\frac{PV(\frac{r}{2})}{1-(1+\frac{r}{2})^{-n}}

Where,

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r = annual rate,

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By substituting the value,

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Also, total payment = semiannual payment × total semiannual periods

= 1391.37 × 6

= $ 8348.22,

Also, the interest paid = total payment - present value

= 8348.22 - 7500

= $ 848.22

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