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3 years ago

Match each scenario with the type of correlation it shows

Mathematics

1 answer:

Dafna1 [17]3 years ago

7 0

Yellow line- no correlation.
Blue Line- Positive
Green line- negative
Srry if wrong pls brainless

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to arrive at 2000 liters of 60% saline solution the attendant has to mix a 90% and a 40% saline solution. How many liters of eac

CaHeK987 [17]

Answer:

800 liters of 90% saline solution and 1200 liters of 40% saline solution should be used.

Step-by-step explanation:

Given:

At 2000 liters of 60% saline solution the attendant has to mix a 90% and a 40% saline solution.

Now, to find the number of liters of saline solution each should be used.

Let the liters of 90% saline solution mix be $x.$

And let the liters of 40% saline solution mix be $y.$

So, the total number of liters:

$x+y=2000.$

$y=2000-x\ \ \ ....(1)$

Now, the total percentage of saline solution:

$90\%\ of\ x+40\%\ of\ y=60\%\ of\ 2000$

$\frac{90}{100}\times x+\frac{40}{100}\times y=\frac{60}{100}\times 2000$

$0.9x+0.4y=1200$

Substituting the value of $y$ from equation (1) we get:

$0.9x+0.4(2000-x)=1200$

$0.9x+800-0.4x=1200$

$0.5x+800=1200$

Subtracting both sides by 800 we get:

$0.5x=400$

Dividing both sides by 0.5 we get:

$x=800.$

The liters of 90% saline solution mix = 800.

Now, substituting the value of $x$ in equation (1) to get the liters of 40% saline solution:

$y=2000-x$

$y=2000-800$

$y=1200.$

Thus, the liters of 40% saline solution = 1200.

Therefore, 800 liters of 90% saline solution and 1200 liters of 40% saline solution should be used.

8 0

3 years ago

A circle has circumference of 20.7cm. What is the area of the circle? Using 3.14

Alex787 [66]

Circumference=2pi*r
20.7=2pi*r
r=3.296 or 3.3
A=pir^2
a=34.1946 or about 34.19

4 0

3 years ago

Read 2 more answers

PLEASE HELP PLEASE!!!

defon

Answer:

We conclude that at x = 0 and x = -1, the value of f(x) = 2ˣ - 1 and g(x) = 1/2x is the same.

Therefore, the solution to f(x) = g(x) is:

x = -1

x - 0

Step-by-step explanation:

Given the table

x f(x) = 2ˣ - 1 g(x) = 1/2x

-2 -3/4 -1

-1 -1/2 -1/2

0 0 0

1 1 1/2

2 3 1

If we carefully observe, we can determine that

at x = 0, the value of f(x) = 2ˣ - 1 and g(x) = 1/2x is the same.

In other words,

at x = 0

f(0) = 0

g(0) = 0

Thus,

at x = 0

f(x) = g(x)

Also at x = -1, the value of f(x) = 2ˣ - 1 and g(x) = 1/2x is the same.

In other words,

at x = -1

f(-1) = -1/2

g(-1) = -1/2

Thus,

at x = -1

f(x) = g(x)

Summary:

Thus, we conclude that at x = 0 and x = -1, the value of f(x) = 2ˣ - 1 and g(x) = 1/2x is the same.

Therefore, the solution to f(x) = g(x) is:

x = -1

x - 0

6 0

2 years ago

When Maggie hooks her dog up to a rope that is staked in the yard, the dog can walk a distance of about 76 feet along the circum

pentagon [3]

Answer:

12.1

Step-by-step explanation:

76/2π

= 38/π

= 12

3 0

2 years ago

Read 2 more answers

Please Help Me ;-;

ANTONII [103]

slope = (y2-y1)/(x2-x1)

= (2--1)/(5-1)

= (2+1)/(4)

=3/4

The point slope from of a line is

y-y1 = m(x-x1)

y--1 = 3/4 (x-1)

y+1 = 3/4 (x-1)

3 0

3 years ago