Nathan and Matt plan to paint a house. If Nathan works alone, it will take

1 answer:

5 0

Nathan= 1/10 of the job per day

Matt= 1/15 of the job per day

3/30 + 2/30. =5/30

1/(5/30) = 30/5. Or 6 days for both working together.

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melomori [17]

Answer:

7- (y/4)

Step-by-step explanation:

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3 years ago

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Julie is digging a square area in her backyard a for a vegtable garden. If the area is 52 square feet, what is the approximate l

AURORKA [14]

Answer:

The correct option will be: (b) 7 feet.

Step-by-step explanation:

Suppose, the length of the garden is $x$ feet.

As the shape of the garden is like a square, then the area of the garden will be: $(length)^2 = x^2$ feet²

Given that, the area is 52 square feet. So, the equation will be.......

$x^2= 52\\ \\ x=\sqrt{52} = 7.211.... \approx 7$

So, the approximate length of the garden will be 7 feet.

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3 years ago

how much money has to be invested at 5.9% interest compounded continuously to have 15,000 after 12 years?

Scrat [10]

Hi there

The formula is
A=pe^rt
We need to solve for p where
A future value 15000
P present value?
E constant
R interest rate 0.059
T time 12 years
So when you solve for p you get
P=A÷e^rt
P=15,000÷e^(0.059×12)
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What is the exact solution of cos (17pi/6)?

kolbaska11 [484]

The exact solution of cos (17π/6) is as follows:

First change the angle into degrees.

17(π/6) (180°/π) = 510°

Then we calculate the cosine of the angle above and it as follows:

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Hope this answers the question. Have a nice day.

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katrin [286]

Use this systems of equations to solve:

x = first antifreeze
y = second antifreeze

$\left \{ {{.2x + .12y = .18(15)} \atop {x + y = 15}} \right.$

Isolate y.

x + y = 15
Subtract x from both sides.
y = -x + 15

Substitute y into the other equation.

.2x + .12(-x + 15) = .18(15)
Simplify.
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Subtract 1.8 from both sides.
.08x = .9
Divide both sides by .08
x = 11.25

Substitute x in the equation that we isolated y in.

y = -11.25 + 15
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11.25 L of the first antifreeze and 3.75 L of the second.

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