How many 4-digit numbers can be created from the digits 6, 4, 2, 9, 7 and 1 without repeating any?

Answers

Answer 1

Answer: Total sets of 4-digits = 6
Total 4-digit numbers formed by one set of number = 4
So, total numbers that can be formed = 6 × 4 = 24

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Triangle ABC has a perimeter 22cmAB= 8 cm
BC= 5cm

By calculation, deduce whether triangle ABC is a right-angled triangle

Answers

Answer:

ΔABC is not a right- angled triangle

Step-by-step explanation:

Given AB = 8, BC = 5

Then AC = 22 - (8 + 5) = 22 - 13 = 9 cm

Using the converse of Pythagoras' identity

If the square of the longest side equals the sum of the squares of the other 2 sides then triangle is right.

AC² = 9² = 81

AB² + BC² = 8² + 5² = 64 + 25 = 89

81 ≠ 89, hence ΔABC is not right- angled

What is the scale factor?

Answers

Answer:

the scale factor is by what multiplier has a shape been increased by in size

Which number is greater than 7.23 and less than 7.55? 7.59;7.17;7.6;7.3

Answers

7.3 also written as 7.30

Justin has three goldfish and one turtle. Write a fraction to represent the part of his pets that are goldfish.

Answers

Answer:

3/4

Step-by-step explanation:

3 goldfish

4 total pets

Answer:

3/4

Step-by-step explanation:

Out of 4 pets (1 turtle and 3 goldfish), 3 of them are goldfish. Therefore 3/4 is the fraction of goldfish to total pets.

Is 75/100 a decimal of 0.75

Answers

yes just divide 75 by 100 and you'll get 0.75

75÷100=0.75

yes they are both 75%

-15 + 12x = 5x + 7 -3x
SOLVE FOR X

Answers

Answer:

$x = 2.2$

Step-by-step explanation:

$- 15 + 12x = 5x + 7 - 3x \n + 12x - 5x + 3x = 15 + 7 \n 10x = 22 \n (10x)/(10) = (22)/(10) \n x = 2.2$

Answer: $x=(11)/(5)$

Simplify both sides of the equation

$-15+12x=5x+7+-3x$

$12x-15=(5x+-3x)+(7)$ (Combine Like Terms)

$12x-15=2x+7$

Subtract 2x from both sides

$12x-15-2x=2x+7-2x\n10x-15=7$

Divide both sides by 10

$(10x)/(10) =(22)/(10)$

$x=(11)/(5)$

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