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3 years ago

Find the product of 2/3 of 30

Mathematics

2 answers:

weqwewe [10]3 years ago

6 0

Hey there!

2/3 *30/1= 30/3= 10 and 3/3=1 so 2/1*10/1= 20
So the product is 20

DanielleElmas [232]3 years ago

5 0

We can set it up as follows:
$\frac{2}{3} * 30$

In multiplication, we just multiply straight across. So:
$\frac{2*30}{3}$

Simplify:
$\frac{60}{3}$

And:
$\frac{60}{3} = 20$

So, your answer is 20.

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Ava,Carter,Luke and their dad each mow a different section of their yard.Ava mow 1 /12 of the yard, Carter mow 2 /12 of the yard

lubasha [3.4K]

His dad mowed 5/12 of the yard

4 0

3 years ago

Read 2 more answers

This extreme value problem has a solution with both a maximum value and a minimum value. use lagrange multipliers to find the ex

noname [10]

$L(x,y,z,\lambda)=10x+10y+2z+\lambda(5x^2+5y^2+2z^2-42)$

$L_x=10+10\lambda x=0\implies1+\lambda x=0$

$L_y=10+10\lambda y=0\implies1+\lambda y=0$

$L_z=2+4\lambda z=0\implies1+2\lambda z=0$

$L_\lambda=5x^2+5y^2+2z^2-42=0$

$\begin{cases}L_x=0\\L_y=0\\L_z=0\end{cases}\implies1+\lambda x=1+\lambda y=1+2\lambda z=0\implies x=y=2z$

$5x^2+5y^2+2z^2=5(2z)^2+5(2z)^2+2z^2=42z^2=42\implies z^2=1$

$z^2=1\implies z=\pm1\implies x=y=\pm2$

There are two critical points, at which we have

$f\left(2,2,1\right)=42\text{ (a maximum value)}$

$f\left(-2,-2,-1\right)=-42\text{ (a minimum value)}$

3 0

3 years ago

Please help and give explanation

Firlakuza [10]

Answer:

100 mins

Step-by-step explanation:

total no of gallons pool can hold=4500

gallons pool already holds=1500

rate of adding water= 30 gallons per min

time he can continue filing= 4500-1500/30

=3000/30

=100 minutes (m value)

correct me if I'm wrong appreciate me if I'm good

8 0

3 years ago

Taylor took 6 hours to drive home from college for Thanksgiving break, a total distance of 290 miles.

vredina [299]

Answer: at 50 mph, she drove for 4 hours.

at 45 mph, she drove for 2 hours.

Step-by-step explanation:

Let t represent the time that she spent driving at 50 miles per hour.

Taylor took 6 hours to drive home from college for Thanksgiving break. This means that the time that she spent driving at 45 miles per hour is (6 - t) hours.

Distance = speed × time

Distance covered while driving 50 miles per hour is

50t

Distance covered while driving 45 miles per hour is

45(6 - t)

Since the total distance that she drove is 290 miles, it means that

50t + 45(6 - t) = 290

50t + 270 - 45t = 290

50t - 45t = 290 - 270

5t = 20

t = 20/5 = 4

At 45 miles per hour, she drove at

6 - 4 = 2 hours

7 0

3 years ago

Which equation can you use to find the value of x?

klemol [59]

Answer:

$3x=78+(x-2)$

Step-by-step explanation:

The complete question in the attached figure

we know that

The <u><em>Triangle Exterior Angle Theorem</em></u> states that: An exterior angle of a triangle is equal to the sum of the opposite interior angles.

In this problem

$3x=78+(x-2)$

solve for x

$3x=76+x\\3x-x=76\\2x=76\\x=38^o$

3 0

3 years ago