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Elza [17]
3 years ago
5

One hose can fill and goldfish pond in 28 minutes, and two hoses came for the same pond in 20 minutes. Find how long it takes a

second holes alone to fill the pond
Mathematics
1 answer:
3241004551 [841]3 years ago
4 0

Answer:

Correct answer:  t₂ = 70 minutes

Step-by-step explanation:

Given:

t₁ = 28 minutes  and t₁₂ = 20 minutes, t₂ = ?

The necessary equation for this situation is:

1/t₁ + 1/t₂ = 1/t₁₂  => 1/28 + 1/t₂ = 1/20 => (28 + t₂)/ 28 t₂ = 1/20 =>

28 t₂ = (28 + t₂) · 20 = 20 t₂ + 560 => 28 t₂ - 20 t₂ = 560 =>

8 t₂ = 560 => t₂ = 560/8 = 70 minutes

t₂ = 70 minutes

God is with you!!!

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4. Explain the difference between (-5)² and<br>-5²​
blsea [12.9K]

Answer:

the first one you have is a negative and 5-5-5-5-5

then same for other but oppoiste

Step-by-step explanation:

7 0
4 years ago
Let f(x) = 4x2 + 6 and let g(x) = 8x – 6. Find f(g(x)) and g(f(x)).
Artyom0805 [142]

Answer:

f(g (x))= 32x-18

g (f (x))=32x2+42

Step-by-step explanation:

f (g (x))= 4 (8x-6)+6

32x-24-6

32x-18

g (f (x))= 8(4x2+6)-6

32x2+48-6

32x2+42

4 0
3 years ago
The area of a circle is increasing at a constant rate of 79 square centimeters per second. At the instant when the radius of the
Yuliya22 [10]

Answer:

0.51cm/s

Step-by-step explanation:

Area of a circle A = πr²

r is the radius

Rate of change of area is expressed as;

dA/dt = dA/dr • dr/dt

dA/dr = 2πr

radius r = 77cm

dA/dt = 79cm²

Get dr/dt

Substitute the given values into the formula

79 = 2π(77)•dr/dt

79 = 154dr/dt

dr/dt = 79/154

dr/dt = 0.51cm/s

Hence the rate of change of the radius is 0.51cm/s

8 0
3 years ago
The sum of three numbers is 66 . the third number is 2 times the second. the first number is 6 more than the second. what are th
Crazy boy [7]
21, 15, 30
a+b+c=66
c=2b; a=b+6
(b+6)+b+(2b)=66
    -6                 -6
(b)+b+(2b)=60
2b+2b=60
4b =60
(1/4) 4b = (1/4)60
b= 15, which is the second number

5 0
3 years ago
tommy gives baseball cards to four of his friends.he gives kiana 3 cards less than he gives grayhe gives monty 7 more than he gi
oee [108]
<span>Let's call these friends by their first initial: K = Kiana, G = Gary, M = Monty, W = Willa Now we can convert the question to a system of linear equations: Gary has 3 cards more than Kiana, so G = K + 3 Monty has 7 cards more than Kiana, so M = K + 7 Willa has twice as many cards as Monty, so W = 2M = 2(K + 7) = 2K + 14 74 cards given out = all the friends combined, so 74 = K + G + M + W = K + (K + 3) + (K + 7) + (2K + 14) = 5K + 3 + 7 + 14 = 5K + 24 50 = 5K 10 = K, so Kiana had 10 cards G = K + 3 = 13, so Gary had 13 cards M = K + 7 = 17, so Monty had 17 cards W = 2M = 34, so Willa had 34 cards Checking our work, 10 + 13 + 17 + 34 = 74 cards total.</span>
5 0
4 years ago
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