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musickatia [10]
3 years ago
10

A lap around Natalie's neighbourhood is 20 kilometres. Natalie ran 2 laps before

Mathematics
1 answer:
Fynjy0 [20]3 years ago
8 0
I would say about 40 kilometers it’s ifs 20 around her neighborhood that 20+20=40 and walking tha rest made the question easier but yea 40
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Find the measure of angle b (image below)
prohojiy [21]

Answer:

123+b=180 (being sum of straight angle)

b=180-123

b=57

6 0
3 years ago
<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%20%2B%202%7D%7B%20%7Bx%7D%5E%7B2%7D%20-%209%20%7D%20%20%5Ctimes%20%20%5Cfrac%7B
OlgaM077 [116]

Answer:

\frac{1}{(x-3)(x-2)}

Step-by-step explanation:

Factorise the denominators of both fractions

x² - 9 and x² - 4 are both differences of squares and factor as

x² - 9  = (x - 3)(x + 3) and x² - 4 = (x - 2)(x + 2), thus express as

\frac{x+2}{(x-3)(x+3)} × \frac{x+3}{(x-2)(x+2)}

Cancel the factors (x + 3) and (x + 2) from the numerators/denominators of both fractions leaving

\frac{1}{(x-3)(x-2)}



7 0
3 years ago
A rational number is such that when you multiply it by 5/2 and add 2/3 to the product, you get 7/12. What is the number?
Afina-wow [57]

Answer:A rational number is such that when you multiply it by 5/2 and add 2/3 to the product you get -7/12 . What is the number.

Step-by-step explanation:Let p/q (q ≠ 0) denote the rational number. Multiplying it by 5/2 gives (p/q)(5/2). Add 2/3 to the product and we get (p/q)(5/2) + 2/3 . The result is given to be -7/12.

∴ (p/q)(5/2) + 2/3 = -7/12 …………………………..……………………………………..(1)

Transposing 2/3 to right-hand-side and changing the sign to negative,

(p/q)(5/2) = -2/3 -7/12 = -(2/3 + 7/12) =- (2 x 4 + 7)/12 (Taking L.C.M.)

Or, (p/q)(5/2) = -(8+7)/12 = - 15/12

Multiplying both sides by 2/5,

(p/q)(5/2) x (2/5) = -15/12 . 2/5 = -(3x5)/(3x4) . 2/5 =- 5/4 .2/5

Since 2/5 is the multiplicative inverse of 5/2, 5/2 x 2/5 = 1 and we obtain

(p/q).1 = -1/4 . 2/1 = -1/2

⇒ p/q = -1/2 which is a negative rational number in which p = 1 and q = 2 ≠ 0 .

∴ the rational number = -1/2

3 0
2 years ago
What is the percentage 45cm of 2m
EleoNora [17]
22.5% is the correct answer. 45/200 = 225.
3 0
3 years ago
How to write 'the sum of z and 7' in an algebric expression?
Evgesh-ka [11]
Sum means to add
z+ 7
7 0
3 years ago
Read 2 more answers
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