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Brrunno [24]
2 years ago
15

Solve the system of equations by using substitution.

Mathematics
1 answer:
pantera1 [17]2 years ago
6 0

Answer:

Step-by-step explanation:

2m + 3(3m - 11) = 0

2m + 9m - 11 = 0

11m  = 11

m = 1

n = 3(1) - 11

n = 3 - 11

n = -8

(1, -8)

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A company made 700000 profit last year. It says this was 12percent more than the year before. What was the profit made the year
mezya [45]

Answer:

784000

Step-by-step explanation:

Given data

Profit =  700000

Let us begin by finding what 12% of  700000 is

=12/100* 700000

=0.12* 700000

=84000

Hence the profit made last years was

=84000+700000

=784000

5 0
2 years ago
A. Solve the differential equation <img src="https://tex.z-dn.net/?f=y%27%3D2x%20%5Csqrt%7B1-y%5E2%7D%20" id="TexFormula1" title
kirill [66]
y' = \frac{dy}{dx}

seperable differential equations will have the form
\frac{dy}{dx} = F(x) G(y)

what you do from here is isolate all the y terms on one side and all the X terms on the other
\frac{dy}{G(y)} = F(x) dx
just divided G(y) to both sides and multiply dx to both sides

then integrate both sides
\int \frac{1}{G(y)} dy = \int F(x) dx&#10;&#10;

once you integrate, you will have a constant. use the initial value condition to solve for the constant, then try to isolate x or y if the question asks for it


In your problem,
G(y) = \sqrt{1-y^2}&#10;&#10;F(x) = 2x

so all you need to integrate is
\int \frac{1}{\sqrt{1-y^2}} dy = \int 2x dx
5 0
3 years ago
5. Ms. Lee has 220 students in all her classes. If her classes collected 2860 pounds of food, how many meals did each student pr
jarptica [38.1K]

Answer:

Each students provides 13 pounds of meal

Step-by-step explanation:

Total students in Ms. Lee class = 220

Total pounds of food collected = 2,860

how many meals did each student provide?

Meals provided by each student = Total pounds of food collected / total number of students

= 2,860 / 220

= 13 pounds

Each students provides 13 pounds of meal

Note: 1.2 pounds of food equals one meal

1.2 pounds : 1 meal = 13 pounds : x meals

1.2/1 = 13/x

1.2 * x = 1 * 13

1.2x = 13

x = 13 / 1.2

= 10.83 meals

Approximately 11 meals to the nearest number

Note:1 kilogram is 2.2 pounds

1 kg : 2.2 pounds = x kg : 13 pounds

1/2.2 = x / 13

1 * 13 = 2.2 * x

13 = 2.2x

x = 13/2.2

= 5.91 kilogram

Approximately x = 6 kilograms

3 0
3 years ago
What is the identity property
Montano1993 [528]

The identity property shows us that any number that adds zero to itself stays itself. The identity for multiplication tells us that any number multiplied by one is itself.

3 0
3 years ago
2x - y = 5<br> 5x + y = 16
Masteriza [31]
7x= 21
X=3
Answer is 3! (:
6 0
3 years ago
Read 2 more answers
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