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Anna007 [38]
3 years ago
5

Solve the following logarithm equation log5(10 + x) = log5(3 + 4x)

Mathematics
1 answer:
devlian [24]3 years ago
6 0
That equation tells us that (10 + x) = (3 + 4x). Can you handle it from there ?
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A tree cast a 25-foot shadow. At the same time of the day, a 6-foot man standing near the tree casts 9-foot shadow. What is the
Neporo4naja [7]

Answer:

The height of the tree is 16.67 feet.

Step-by-step explanation:

Refering the figure, let the height be "x" feet.

It is evident that triangles ABC and triangle EDC are similar.

(as both man and tree are perpendicular to the ground)

thus, \frac{AB}{DE} = \frac{BC}{DC} = \frac{AC}{EC}

hence,

\frac{x}{6} = \frac{25}{9}

Thus, x = (\frac{25}{9})(6) = \frac{50}{3} = 16.67 foot..

4 0
3 years ago
Read 2 more answers
Huixian needs 171 pens 63 pencils and 27 erasers into identical gift packs so that each item could equally distribiuted among th
Anuta_ua [19.1K]

Answer:

there will 7 pencils, 19 pens and 3 erasers in each bag of gift bag and total number of gifts bag will be 9.

Step-by-step explanation:

Given:

Number of pens = 171 pens

Number of pencils = 63

Number of erasers = 27

We need to number of each items in the bags.

Solution:

First we will find the largest number of gift bags that can be packed.

To find the  the largest number of gift bags that can be packed we need to find the greatest common factor of these numbers.

So we will List  the prime factors for each number:

171 = 3 \times 3 \times 19\\\\63 = 3 \times 3 \times 7\\\\27 = 3 \times 3 \times 3

From above we can say that;

The greatest common factor of three numbers = 3\times3=9

Hence There would 9 gifts bag to packed this item.

Now To find the Number of item in each bag we will divide number of items from the number of gifts bag.

framing in equation form we get;

Number of pencils in each = \frac{63}{9}=7\ pencils

Number of pens in each bag = \frac{171}{9}=19\ pens

Number of eraser in each bag = \frac{27}{9}=3\ erasers

Hence there will 7 pencils, 19 pens and 3 erasers in each bag of gift bag and total number of gifts bag will be 9.

6 0
3 years ago
Hi Guys
BabaBlast [244]

Answer:

x^2-2x+5x-10

= x^2+3x-10

Hope it helps.

6 0
4 years ago
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Suppose Q was the midpoint of PR. Use the information to find its missing value
madam [21]

<u>Answer</u><u> </u><u>:</u><u>-</u>

13) x = 6

14) PQ = 31

15 ) PR = 38

16 ) x = 13

Step-by-step explanation:

[ Refer to the attached file ]

5 0
3 years ago
Pleas help it’s really important!! I will mark brainliest
Helga [31]

Answer:

Pi is the ratio of the circumfrance to the diameter!!! the fourth one!!!

Step-by-step explanation:

5 0
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