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White raven [17]
3 years ago
6

What is the value of -3 + 4.5 - (- 1.2)

Mathematics
1 answer:
kari74 [83]3 years ago
7 0
The answer to your question is 13.5
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A chemist has 10% and 40% solutions of acid available. How many liters of each solution should be mixed to obtain 120 liters of
kaheart [24]

Answer:

100 liters of  10% solution is used and 20 liters of  40% solution is used

Step-by-step explanation:

Let "X" amount of 10% solution is used. Then the amount of 40% solution used is equal to 120-X

Now

10% of X + 40% of (120-X) = 15% of 120

On solving the above equation, we get

0.1 X + 0.4 (120-X) = 0.15 *120\\0.1 X + 48 -0.4X = 18\\0.3 X = 30\\X = 100liters

Amount of 40% solution used  = 120 -X = 120-100 = 20 liters

100 liters of  10% solution is used and 20 liters of  40% solution is used

7 0
2 years ago
The monthly charge for a waste collection service is 1830 dollars for 100 kg of waste and 2460 dollars for 135 kg of waste. (a)
Ulleksa [173]

Answer:

C=18w+30

Step-by-step explanation:

We are given that The monthly charge for a waste collection service is 1830 dollars for 100 kg of waste

So, (x_1,y_1)=(100,1830)

We are also given that The monthly charge for a waste collection service is 2460 dollars for 135 kg of waste.

So, (x_2,y_2)=(135,2460)

We are supposed to find a linear model for the cost, C, of waste collection as a function of the number of kilograms, w.

So, we will use two point slope form :

Formula : y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)

Substitute the values

y-1830=\frac{2460-1830}{135-100}(x-100)

y-1830=18(x-100)

y-1830=18x-1800

y=18x-1800+1830

y=18x+30

y denotes the cost

x denotes the weight

So, Replace y with C and x with w

C=18w+30

So, a linear model for the cost, C, of waste collection as a function of the number of kilograms, w is C=18w+30

7 0
2 years ago
What is the equation of the following line written in general form? (The y-intercept is 7.)
Viktor [21]

Answer:

<h2>3x - y + 7 = 0</h2>

Step-by-step explanation:

The slope-intercept form of an equation of a line:

y=mx+b

m - slope

b - y-intercept

Put the given y-intercept b = 7 and the coordinates of the point (-2, 1) to the equation:

1=-2m+7          <em>subtract 7 from both sides</em>

-6=-2m       <em>divide both sides by (-2)</em>

3=m\to m=3

We have the equation:

y=3x+7

Convert it to the general form Ax+By+C=0:

y=3x+7              <em>subtract 3x and 7 from both sides</em>

-3x+y-7=0           <em>change the signs</em>

3x-y+7=0

4 0
3 years ago
Kimmie wants to earn money by baking and selling cookies. She works up a business plan and finds her cost and revenue functions
vodka [1.7K]

Answer:

profit of 240

Step-by-step explanation:

credit to the person above me

7 0
3 years ago
Which function has a range of y&gt;_4
nikklg [1K]
B
The answer is b. Because you x can be a negative, but you’re squaring it so it will equal a positive, and if you add 4, it is still 4 or greater
3 0
3 years ago
Read 2 more answers
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