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Irina18 [472]
3 years ago
9

How much salt is there in a 50 gallons of a 3% salt solution ?

Mathematics
1 answer:
Stolb23 [73]3 years ago
3 0

\bf \begin{array}{|c|ll}
\cline{1-1}
\textit{a\% of b}\\
\cline{1-1}
\\
\left( \cfrac{a}{100} \right)\cdot b
\\\\
\cline{1-1}
\end{array}~\hspace{5em}\stackrel{\textit{3\% of 50}}{\left( \cfrac{3}{100} \right)50}\implies 1.5~~gallons

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if 36 cookies cost $4.00 what is the unit rate in cookies per dollar. Using the same information what is the unit rate for 1 coo
pogonyaev

Answer:

9 cookies per dollar

Step-by-step explanation:

This is a fraction equal to

36 cookies ÷ 4 dollars

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 4

36 cookies ÷ 4

--------------------------

4 dollars ÷ 4

=  

9 cookies

---------------

1 dollar

=  

9 cookies

-----------------

dollar

= 9 cookies per dollar

3 0
3 years ago
A taxi charges a base fee plus $0.75/km.
Naily [24]

a) The rate of change in this situation is 0.75 dollars/km

b) The equation for the cost of hiring a taxi in terms of length of the

trip is y = 0.75 x + b

c) The initial value represents in this situation is $1.2

Step-by-step explanation:

The given is:

  • A taxi charges a base fee plus $0.75/km.
  • A 10-km trip costs $8.70

∵ A rate of change is a rate that describes how one quantity

  changes in relation to another quantity

∵ The unit cost of a taxi is 0.75 dollars for each 1 kilometer

∴ The rate of change = 0.75 dollars/km

a) The rate of change in this situation is 0.75 dollars/km

Assume that the cost of hiring a taxi is $y for length of a trip x km

and a base fee of $b

∵ The length of the trip = x km

∵ The cost per km = $0.75

∵ The base fee = $b

∵ The cost of hiring a taxi = $y

- Write an equation for the the cost of hiring a taxi

∴ y = 0.75 x + b

b) The equation for the cost of hiring a taxi in terms of length

of the trip is y = 0.75 x + b

∵ The length of the trip is 10 km

∴ x = 10

∵ The cost of the hiring a taxi is $8.70

∴ y = 8.70

- Substitute these values in the equation of part (b)

∵ y = 0.75 x + b

∴ 8.70 = 0.75(10) + b

∴ 8.70 = 7.5 + b

- Subtract 7.5 from both sides

∴ 1.2 = b

∵ b is the base fee

∴ b is the initial value

∴ The initial value = $1.2

c) The initial value represents in this situation is $1.2

Learn more:

You can learn more about word problems in brainly.com/question/3950386

#LearnwithBrainly

3 0
3 years ago
Read 2 more answers
What is the least common multiple of 2, 6, 8, and 12?
Assoli18 [71]
24 because it’s the lowest multiple of 12 that’s also in 2,6 and 8
7 0
3 years ago
Read 2 more answers
Please help me !!!!!
Tasya [4]

Answer:

B. A dilation with a scale factor of 0.5

Step-by-step explanation:

A. is wrong because it is congruent transformation because reflections keep the angles and side lengths of the figure the same.

B. is right because it is NOT congruent because a dilation of any scale factor other than 1 results in a similar figure, because the side lengths are proprtional but not equivalent

C.  is wrong because translations keep the angles and side lengths of the figure the same.

D. is wrong because a scale factor of 1 changes nothing about the figure.

4 0
3 years ago
Six divided by fivehundredsevenysik
ELEN [110]
I think you mean six-hundred and seventy six.

6 ÷ 576 = 0.010416

or 0.0104166667
8 0
3 years ago
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