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alexgriva [62]
3 years ago
9

(b) 3(27) = 3(25 + 2)

Mathematics
1 answer:
Leokris [45]3 years ago
7 0

Answer:

3(27) = 3(25 + 2) = TURE

Step-by-step explanation:

Left side: Use long multiplication:

| | 3

× | 2 | 7

Multiply 7 by the digit in the top row:

| | 3

× | 2 | 7

| 2 | 1

Multiply 2 by the digit in the top row:

| | 3

× | 2 | 7

| 2 | 1

| 6 | 0

Add:

Answer: 81

Right Hand: Simplify the following:

3 (25 + 2)

Hint: | Evaluate 25 + 2.

25 + 2 = 27:

3×27

Hint: | Multiply 3 and 27 together.

3×27 = 81:

Answer: 81

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Part 2
ahrayia [7]

Answer:

B. 236.3

Step-by-step explanation:

Population density can be found by dividing the number of people by the area of the land.

number of people / land area

The population is 20,510 people and the area is 86.8 square miles.

20,510 people / 86.8 square miles

Divide 20,510 by 86.8

236.290323 people /square mile

Round to the nearest tenth. The 9 in the hundredth place tell us to round the 2 to a 3 in the tenth place.

236.3 people/ square mile

There are 236.3 people per square mile and B is correct.

6 0
3 years ago
Twenty less than a number is more than twice the same number . Step by step to get the answer
likoan [24]
20 less than (-20) a number (n) is more than (>) twice the same number (2n)
-20+n>2n
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3 0
3 years ago
Read 2 more answers
Now there is a square city of unknown size with a gate at the center of each side. There is a tree 20 b from the north gate. Tha
Brums [2.3K]

Answer:

The length of each side of the city is 250b

Step-by-step explanation:

Given

a = 20 --- tree distance from north gate

b =14 --- movement from south gate

c = 1775 --- movement in west direction from (b)

See attachment for illustration

Required

Find x

To do this, we have:

\triangle ADE \sim \triangle ACB --- similar triangles

So, we have the following equivalent ratios

AE:DE = AB:CB

Where:

AE = 20\\ DE = x/2 \\ AB = 20 + x + 14 \\ CB = 1775

Substitute these in the above equation

20:x/2 = 20 + x + 14: 1775

20:x/2 = x + 34: 1775

Express as fraction

\frac{20}{x/2} = \frac{x + 34}{1775}

\frac{40}{x} = \frac{x + 34}{1775}

Cross multiply

x *(x + 34) = 1775 * 40

Open bracket

x^2 + 34x = 71000

Rewrite as:

x^2 + 34x - 71000 = 0

Expand

x^2 + 284x -250x - 71000 = 0

Factorize

x(x + 284) -250(x + 284)= 0

Factor out x + 284

(x - 250)(x + 284)= 0

Split

x - 250 = 0 \ or\ x + 284= 0

Solve for x

x = 250 \ or\ x =- 284

x can't be negative;

So:

x = 250

6 0
3 years ago
I need help I try Photomath I didn’t help me .
kaheart [24]

Answer:

8. 8.80

9. 90

Step-by-step explanation:

Question 8: Use the Pythagorean formula

DE² = DF²+EF²

EF² = DE² - DF²

= 16.2² - 13.6²

= 77.48

EF = √77.48 = 8.80  (Answer)

Question 9: Use the Cosine Rule

GI² = GH² +HI² - 2·GH·HI·Cos ∠GHI

= 60² + 42² - 2·60·42·Cos 123

= 3600 +1764 - (-2744.98)

= 8108.98

GI = √8108.98 = 90

4 0
3 years ago
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Lock 1: Write your response in Alphabetical Order and in ALL CAPITAL LETTERS (Do not put any spaces or commas.) You must choose
Dennis_Churaev [7]

Answer:

I believe A C and E.

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3 years ago
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