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Natalija [7]
3 years ago
14

Solve 2x2 + x - 6 = 0 {-3/2, 2) {-2, 3/2)

Mathematics
1 answer:
mojhsa [17]3 years ago
4 0

Answer:

I simplify it I  got : x - 2 = 0

Step-by-step explanation:

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Maria can clean the entire house in two hours. Her sister, Sasha, can clean the house in three hours. How long would it take for
MAXImum [283]

72 minutes

We require their hourly rate of work

Maria cleans \frac{1}{2} the house in 1 hour

Sasha cleans \frac{1}{3} of the house in 1 hour

let x be the time it takes both to clean the house

\frac{1}{2} + \frac{1}{3} = \frac{1}{x}

multiply through by 6x

3x + 2x = 6

5x = 6 ⇒ x = \frac{6}{5}

Together they can clean the house in 72 minutes






6 0
3 years ago
The three sides of a triangular lot are represented by x, 2x, and 3x + 2. Find each side if the perimeter of the triangular lot
Svetlanka [38]
To find the perimeter, you would add all the sides.  Because we know the perimeter, we can represent this as an equation that needs solved.

362 = x + (2x) + (3x + 2), combine the like terms
362 = 6x + 2, subtract 2 from both sides
   -2           -2
<u>360</u> = <u>6x</u>, divide both sides by 6
   6       6

x = 60 feet

side 1 = 60 feet
side 2 = 120 feet
side 3 = 182 feet

check your work:  60 + 120 + 182 = 362 feet
7 0
3 years ago
A water tank is box shaped with a square base of side length 5 ft. The tank is fed by a pipe above and drains from its base. In
adell [148]

Answer:

dy/dt = - (1/5) ft/s = - 0.2 ft/s

Step-by-step explanation:

Given

L = 5 ft

Qin = 25 ft³/s

Qout = 30 ft³/s

h = 10 ft

dy/dt = ?

We can apply the relation

ΔQ = Qint - Qout = 25 ft³/s - 30 ft³/s

⇒ ΔQ = - 5 ft³/s

Then we use the formula

Q = v*A

where Q = ΔQ, A = L²  is the area of square base and v = dy/dt  is the rate of change in the depth of the solution in the tank

⇒ ΔQ = (dy/dt)*L²

⇒ dy/dt = ΔQ/L²

⇒ dy/dt = (- 5 ft³/s)/(5 ft)²

⇒ dy/dt = - (1/5) ft/s = - 0.2 ft/s

6 0
3 years ago
A librarian arranged some books on the shelf using the Dewey decimal system. Choose the group of book numbers that is listed in
lara [203]

The answer is C), 834, 834.19, 834.2, 834.29

I know this is late, but I hope it was helpful!

8 0
3 years ago
Estimate the answer to 28.56 – 15.98 by first rounding each number to the nearest whole number. A. 13 B. 12.7 C. 12 D. 10
Scorpion4ik [409]
The answer is 12.58 rounded up it would be 13 so the correct answer is A
6 0
3 years ago
Read 2 more answers
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