Solve and then use estimation to make sure your answer is reasonable. Kyle can read 22 pages of his book in an hour. Kyle read for 114.5 hours last summer.

How many pages did Kyle read last summer?

Answers

Answer 1

Answer: 114.5 hours = 6870 minutes
∴ 6870 ÷ 22 = 312.2727273

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Help me. I will mark brainliest
F(x) = 7x + 7, g(x) = 6x2Find (fg)(x).

Factorise : 16x^2 +72xy + 81y^2 -12x +27y

Answers

Hello!!

It will be the same since there is no common factor. You just need to arrange in order.

6x^2 + 72xy - 12x + 81y^2 + 27y

Good luck :)

Margaret is planning a rectangular garden. Its length is 4 feet less than twice its width. Its area is 170ft^2. what are the dimensions of the garden?.

Answers

If you would like to know the dimensions of the garden, you can calculate this using the following steps:

length ... (2 * x - 4) feet
width ... x feet
area ... 170 ft^2

area = length * width
170 = (2 * x - 4) * x
170 = 2 * x * x - 4 * x
170 = 2 * x^2 - 4 * x
0 = 2 * x^2 - 4 * x - 170 /2
0 = x^2 - 2 * x - 85
1. x = 1 - sqrt(86) = -8.27
2. x = 1 + sqrt(86) = 10.27

length: 2 * x - 4 = 2 * 10.27 - 4 = 16.54 feet
width: x = 10.27 feet

The dimensions of the garden are 16.54 feet and 10.27 feet.

Find the value of x. m<2= x + 52

Answers

Answer: x = - 10

Step-by-step explanation:

a) Linear Pair: 138 + ∠a = 180° --> ∠a = 42°

b) Triangle Sum Theorem: ∠a + 2∠b = 180° --> ∠b = 69°

c) Vertical Angles Theorem: ∠b = ∠c --> ∠c = 69°

d) Congruent sides implies congruent angles: ∠c = ∠d --> ∠d = 69°

∠2) Triangle Sum Theorem: ∠c + ∠d + ∠2 = 180°

69° + 69° + ∠2 = 180°

∠2 = 42

x) m∠2 = 42

x + 52 = 42

x = -10

Can some one help me plz with step by step
x^2 - 12x + 35

Answers

Answer:

(x + 3)(5x + 2)

Step-by-step explanation:

${x}^(2) - 12x + 35 \n {x}^(2) - 7x - 5x + 35 \n = x(x - 7) - 5(x - 7) \n = (x - 7)(x - 5)$

Zara has forgotten her 4-digit PIN code. She knows the first digit is a factor of 20 and the 4 digits make a number divisible by 5. How many different sets of 4 digits could it be?

Answers

800 different sets of 4 digit PIN could be made.

The First (single) digit is a factor of 20. So, it is among 1, 2, 4, 5. The other factors 10 & 20 are ignored, as they are 2 digits.

So, ways of choosing 1 out of 4 digits = 4 P 1 = 4

The Seconddigit can be any digit among he 10 digits : 0, 1, 2, 3, 4, 5, 6, 7, 8, 9

So, ways of choosing 1 out of 10 digits = 10 P 1 = 10

Third digit can also be any digit among he 10 digits : 0, 1, 2, 3, 4, 5, 6, 7, 8, 9

So, ways of choosing 1 out of 10 digits = 10 P 1 = 10

The Fourth digit can be amongst only 0 & 1, as the final PIN is divisible by 5.

So, ways of choosing 1 out of 2 digits = 2 P 1 = 2

Hence, total number of ways = 4 x 10 x 10 x 2 = 800 ways

To learn more, refer brainly.com/question/1216161?referrer=searchResults

Answer:

800 different sets of digits.

Step-by-step explanation:

Since the first digit is a factor of 20, the factors of 20 are 1,2,4,5,10,20. We only need the single digit factors which are 1,2,4 and 5. These 4 numbers can be permuted in 1 way for the first digit, so we have ⁴P₁.

For the second digit, we have 10 digits permuted in 1 way, ¹⁰P₁ and also for the third digit, we have 10 digits permuted in 1 way, ¹⁰P₁ and for the last digit, which is divisible by 5, it is either a 0 or 5, so we have two digits permuted in 1 way, ²P₁.

So, the number of different 4 digit number that Zara'2 4-digit PIN code could be is ⁴P₁ × ¹⁰P₁ × ¹⁰P₁ × ²P₁ = 4 × 10 × 10 × 2 = 800 different sets of digits

Five more than four times a number is greater than seven