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liubo4ka [24]
3 years ago
14

Solve and check , -0.7x+2.8=-3.14x-5.2

Mathematics
1 answer:
dlinn [17]3 years ago
6 0

solving:

( - 0.7 + 3.14)x =  - 5.2 - 2.8

2.44x =  - 8

x =  \frac{ - 8}{2.44}

now checking:

- 0.7 \times  \frac{ - 8}{2.44} + 2.8 =  - 3.14 \times  \frac{ - 8}{2.44}  - 5.2

\frac{5.6}{2.44} + 2.8 =  \frac{25.12}{2.44}  - 5.2

\frac{12.432}{2.44} =  \frac{12.432}{2.44}

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A farmer can buy two types of plant​ food, mix A and mix B. Each cubic yard of mix A contains 35 pounds of phosphoric​ acid, 15
Nadusha1986 [10]

Answer:

The answer is below

Step-by-step explanation:

Given that the minimum monthly requirements are 840 pounds of phosphoric​ acid, hence:

35 pounds of phosphoric acid mix A + 14 pounds of phosphoric acid mix B ≥ 840 pounds of phosphoric​ acid

35x + 14y ≥ 840

The minimum monthly requirements are 540 pounds of nitrogen, hence:

15 pounds of nitrogen mix A + 18 pounds of nitrogen mix B ≥ 540 pounds of nitrogen

15x + 18y ≥ 540

The minimum monthly requirements are 768 pounds of potash, hence:

16 pounds of potash mix A + 64 pounds of potash mix B ≥ 768 pounds of potash

16x + 64y ≥ 768

Also, x ≥ 0 and y ≥0.

Therefore the equations are:

35x + 14y ≥ 840

15x + 18y ≥ 540

16x + 64y ≥ 768

x ≥ 0 and y ≥ 0

Plotting with geogebra gives the graph below.

The point are (0,60), (48,0), (18,15), (32,4)

7 0
3 years ago
A Pharmacist whishes to mix a solution that is 6% Minoxidil. She has on hand 100 ml of 4% solution and wishes to add some 8% sol
Kaylis [27]

Answer:

She would need 100 ml of the 8% solution

Step-by-step explanation:

You can always answer these questions using a proportion. The numerator will represent the amount of Minoxidil, and the denominator will represent the total amount of solution

She already ha 100 ml of a 4% solution. That means that she has 4 ml of Minoxidil already

\frac{4 + 0.08(S)}{100 + S} =\frac{6}{100}

We can multiply both sides by 100 for simplicity

\frac{400 + 8S}{100+S}=6\\ 400 + 8S =6(100 + S)\\400 + 8S = 600 + 6S\\2S = 200\\S = 100

8 0
3 years ago
Pls help !!! For my math class!
fiasKO [112]

Answer:

35 because they relevantly parrel which explains it alll

4 0
3 years ago
The expressions 10/12(245b−365) and 2/3(3b+6) represent the lengths of the diagonals of parallelogram WXYZ. For what value of b
makkiz [27]

Answer:

b = 1.52

Step-by-step explanation:

Length of diagonals of a parallelogram = \frac{10}{12}(245b - 365) and \frac{2}{3}(3b+6)

If the given parallelogram is a rectangle,

Length of the diagonals will be equal in measure,

Therefore, \frac{10}{12}(245b - 365)=\frac{2}{3}(3b+6)

245b - 365 = \frac{12}{10}\times \frac{2}{3}(3b+6)

245b - 365 = \frac{4}{5}(3b+6)

5(245b - 365) = 4(3b + 6)

1225b - 1825 = 12b + 24

1225b - 12b = 24 + 1825

1213b = 1849

b = \frac{1849}{1213}

b = 1.52

5 0
3 years ago
What is the percent decrease if the number of student is 80 and now its 64.
Neporo4naja [7]

Answer:

.2

Step-by-step explanation:

When you do 64/80 you get 0.8 which means that the percent decrease is .2

8 0
3 years ago
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