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3 years ago

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A researcher needs 60 L of 50% concentrate solution for a certain experiment, but she has only 30% solution and 70% solution. Ho

w many liters of the 30% and the 70% solutions should she mix to get what she needs?

1 answer:

Dahasolnce [82]3 years ago

7 0

Answer:3300

Step-by-step explanation:

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Many people enjoy challenging themselves by running in marathons. A marathon is a 26-mile race. The runners wear numbers that id

Rudiy27

First we clear y from the given equation
x + 10y = 260
10y = 260-x
y = (260-x) / (10)
Then, we evaluate the function within the domain of it
x = 0
y = (260- (0)) / (10)
y = (260) / (10)
y = 26
x = 10
y = (260- (10)) / (10)
y = (250) / (10)
y = 25
That is, you travel 1 mile in 10 minutes.
Therefore, traveling 26 miles will take:
(26) * (10) = 260 min
answer
it takes for the runner to reach the school 260min.

6 0

3 years ago

Read 2 more answers

Consider the line y=1 x -1 and the point P=(2,0).

Montano1993 [528]

Answer:

Step-by-step explanation:

d(x)=√((x-2)2+(y-0)²)

=√((x-2)²+y²)

=√((x-2)²+(x-1)²)

=√(x²-4x+4+x²-2x+1)

=√(2x²-6x+5)

D=d²(x)=2x²-6x+5

$b.\\\frac{dD}{dx}=4x-6\\\frac{dD}{dx}=0,gives \\4x-6=0\\x=\frac{3}{2}\\\frac{d^2D}{dx^2}=4 >0 at x=\frac{3}{2}\\so~D~or~d^2~or~d~is~minimum~at~x=\frac{3}{2}\\so~y=1(\frac{3}{2} )-1=1/2=0.5\\so~nearest~point~is~(1.5,0.5)$

8 0

3 years ago

There are 24 grapes. Luke eats 6 grapes from the bowl. Then Juan and Luke equally shared the grapes that are left.

Luden [163]

Answer:

Juan and Luke each ate 9 grapes

Step-by-step explanation:

24 - 6 = 18

18 ÷ 2 = 9

7 0

3 years ago

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Mary needs to order pizza for 18 students. Each student should get 4/7 of a pizza. How many pizzas should Mary order? How much p

Llana [10]

Answer:

11 pizzas, 5/7 left

Step-by-step explanation:

to find out how much pizza is needed, multiply 4/7 by 18 to get 72/7. round up to get 77/7 or 11 pizzas. 77/7 - 72/7= 5/7 so there will be 5/7 left over

3 0

3 years ago

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I need help with Multiplication Properties of Exponents desperately!! I've tried to solve both problems repeatedly and I cannot

Yuliya22 [10]

Answer:

1) x= -36.

2) x = 0.

Step-by-step explanation:

1) Taking the 3rd power to both sides and using the following exponent law:

$\left(a^b\right)^c = a^{bc}$

we get:

$\left(\left(m^{x}\right)^{\frac{1}{3}}\right)^3 = \left(m^{-12}\right)^3 \\ m^x = m^{-36}$

So this tells us that x = -36.

2) We can distribute the power inside every term. So the left side becomes:

$\left(3x^3y^x\right)^3 = 3^3\left(x^3)^3y^{3x} = 27x^9y^{3x}$

Now, the trick here is to remember that $y^0 = 1$ , so replacing 1 with $y^0$ , which then gives us:

$27x^9y^{3x} = 27x^9y^{0}$ , telling us that 3x = 0 and thus, x = 0.

7 0

4 years ago