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yan [13]
2 years ago
14

Devon is five years younger than Sydney the sum of their ages is 57 what is Sydney

Mathematics
1 answer:
Nikolay [14]2 years ago
3 0

Answer:

Sydney is 31 years old.

Step-by-step explanation:

LET age of Devon be x years

and let age of Sydney be y years

if x=y-5-------(i)

x+y= 57 (sum)

Using (i)

(y-5)+y=57

2y=62

y=31

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pentagon [3]

Answer:

256

Step-by-step explanation:

4^4^4 = 4^(4^4) = 4^256

so written in base 4, there will be 256 zeroes after a 1.

This translates to approximately 154 digits in decimal.

Just like 2^2^2 =  2^4

there will be four zeroes after a 1.

2^2^2=2^(2^2) = 2^4 = 16 = 10000 (16 in base 2).

4 0
2 years ago
In a video game, Agnes scored 20% fewer than Amy. Amy scored 860
vovangra [49]

Answer:

\huge\boxed{\sf Agnes\ Score = 688\ points}

Step-by-step explanation:

\sf = 20 \% \ of \ 860 \\\\= \frac{20}{100} * 860\\\\= 2 * 86\\\\= 172 \ points

Since, Agnes scored 20 % fever than Amy.

So,

Agnes Score = Amy's Points - 20 % of Amy's Points

Agnes Score = 860 - 172

Agnes Score = 688 points

\rule[225]{225}{2}

Hope this helped!

<h3>~AnonymousHelper1807</h3>
8 0
2 years ago
Solve the inequaliy: (x^2+2)(x−2)^2(6−2x)&gt;0
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Jacques needs to convert the function f(x) = x2 − 6x + 14 to vertex form, f(x) = (x − h)2 + k, in order to find the minimum.
Anarel [89]

k = 5

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y = a(x - h)² + k

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To obtain this form use the method of completing the square

Since the coefficient of the x² term is 1 then

add/ subtract (half the coefficient of the x-term )² to x² - 6x

f(x) = x² + 2(- 3)x + 9 - 9 + 14 = (x - 3)² + 5 → k = 5


   

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It already is rounded to the nearest hundredth
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