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alexandr1967 [171]
3 years ago
10

In a lab, a 30% acid solution is being mixed with a 5% acid solution to create a 10% acid solution. What is the ratio of the amo

unt of the 30% solution to the amount of 5% solution used to create the 10% solution?
1:3
1:4
1:5
1:6
Mathematics
2 answers:
kupik [55]3 years ago
5 0

1:4 is the answer to the question.

masya89 [10]3 years ago
4 0

Answer:

Option B. 1 : 4.

Step-by-step explanation:

In a lab 30% acid solution and 5% acid solution were mixed to prepare 10% acid solution.

We have to calculate the ratio of both the acids should be mixed to prepare 10% acid solution.

Let the volume of 30% solution was used = x ml

and the volume of 5% acid was used = y ml

Therefore the equation will form as

30%.x + 5%.y = 10%.(x + y)

0.30x + 0.05y = 0.10(x + y)

Now we transfer the similar terms in one side of the equation.

0.30x - 0.10x = 0.10y - 0.05y

0.20x = .05y

\frac{x}{y}= \frac{.05}{0.20}

x : y :: 1 : 4

Therefore solutions will be mixed in a ratio of 1 : 4

Option B. 1 : 4 is the right answer.  

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Given the vectors u= <2, 1> and v= <5, 4>, determine the components of a vector represented by 2u - 3v
kati45 [8]

Answer:

C.) <-11, -10>

Step-by-step explanation:

Let's define how to work with vectors.

For two vectors:

V = <a, b>

W = <c, d>

The product of a scalar k and a vector is given by:

k*V = k*<a, b> = <k*a, k*b>

And the sum (or difference) of two vectors is given by:

V ± W  = <a, b> ± <c, d> = <a ± c, b ± d>

Now that we know this, we can solve the problem.

Here we have the vectors:

u = <2, 1>

v = <5, 4>

then:

2u - 3*v = 2*<2, 1> - 3*<5, 4>

             = <2*2, 2*1> - <3*5, 3*4>

             = <4, 2> - <15, 12>

             = <4 - 15, 2 - 12>

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Then the correct option is C.

5 0
2 years ago
1. Round to the nearest hundredth.
svp [43]
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6 0
3 years ago
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Phoenix [80]

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Step-by-step explanation:

The computation of the ratio of females to males is shown below

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3 years ago
-43x - 121 = 0. Type ONLY THE NUMBER for the answer!!
Elza [17]

Answer:

Step-by-step explanation:

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