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docker41 [41]
3 years ago
8

Can anyone explain how to do any of this?

Mathematics
1 answer:
pashok25 [27]3 years ago
5 0

Answer:

qn 10. 15mn² - 23m²n +4m³

Step-by-step explanation:

1. distribute 4m through the parenthesis

8mn² - 12m²n + 4m³ - 2n(5m² - 3nm) + nm(n-m)

2. use the commutative property to reorder the terms

8mn² - 12m²n + 4m³ - 2n(5m² - 3mn) + mn(n - m)

3. distribute -2n through the remaining parenthesis

8mn² - 12m²n + 4m³ -10m²n + 6mn² + mn² - m²n

4. collect like terms

8mn² + 6mn² + mn² - 12m²n - 10m²n - m²n + 4m³

5. complete bodmas

15mn² - 23m²n +4m³

that's is how you do it so the answer is

15mn² -23m²n + 4m³

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Samantha bought 26 total fish. Each goldfish cost $3 and each guppy costs $4. She spent $86 total. How many guppies did she buy?
Alex787 [66]

Answer:

goldfish is 15 and guppies is 11

Step-by-step explanation:

Given data

let the number of goldfish be x

and the number of guppies be y

so

x+y= 25----------1

and

3x+4y= 86-------2

solve 1 and 2

x+y= 25

3x+4y= 86

from 1

x= 25-y

put this in 2

3(25-y)+4y= 86

75-3y+4y= 86

75+y= 86

y= 86-75

y=11

put y= 11 in 1

x+11= 26

x= 26-11

x= 15

Hence goldfish is 15 and guppies is 11

5 0
2 years ago
Sarah received $55 for her birthday. She used some of that money to buy 3 shirts priced at m dollars each.
Marat540 [252]

Answer:

55- 3m is the awnser for this question

4 0
2 years ago
Nine minus the quotient of two and a number x
Dennis_Churaev [7]
9-2/x is the equation
7 0
3 years ago
Find the sum of the first 21 terms of the arithmetic sequence 5, -2, -9.
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Read 2 more answers
Santos is a lifeguard and spots a drowning child 50 meters along the shore and 60 meters from the shore to the child. Santos run
Amanda [17]

Answer:

Santos should run approximately 36.145 meters along the shore

Step-by-step explanation:

The given parameters are;

The distance along the shore of the child = 50 meters

The distance from the shore of the child = 60 meters

The rate at which Santos can run = 4 m/s

The rate he can swim = 0.9 m/s

Let 'x' represent the distance he runs along the shore

We have;

The time he spends running on the shore, t₁ = x/4

The time he spends swimming, t₂ = (√(60² + (50 - x)²)/0.9

The total time, T = t₁ + t₂ = x/4 + (√(60² + (50 - x)²)/0.9

To find the maximum, we have;

dT/dx = 0 = d(x/4 + (√(60² + (50 - x)²)/0.9)/dx = 1/4 - (50 - x)/(0.9·(√(60² + (50 - x)²) = 0

1/4 - (50 - x)/(0.9·(√(60² + (50 - x)²) = 0

Simplifying using a graphing calculator gives;

\dfrac{x - 2000}{9} = \sqrt{x^2-100\cdot x+6,100}

1519·x² - 151900·x + 3505900 = 0

x = (151900 ± √((-151900)² - 4×1519×3505900))/(2 × 1519)

x ≈ 63.86 m or x ≈ 36.145 m

We note that the distance from a point x = 63.83 meters and 36.145 meters from where Santos spots the girl to the location of the girl are the same

Therefore, Santos should run approximately 36.145 meters along the shore before jumping into to the water in order to save the child

7 0
2 years ago
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