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mash [69]
3 years ago
10

Please HELP with this question....I will mark as Brainliest...Please explain your answer.

Mathematics
1 answer:
Stolb23 [73]3 years ago
8 0
A would be 3.  0.5 signifies "half," and it is evident that the vertical line x=3 divides the blue figure in half.

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Marie mixes 20 liters of 12% acid solution with a 36% acid solution to make a 20% acid solution. How many liters of 36% solution
svet-max [94.6K]
She used 10 liters of the 36% solution.
6 0
3 years ago
What's the word name for 20,004? A. Two thousand four B. Two hundred thousand four C. Twenty thousand four D. Twenty thousand fo
Vika [28.1K]

Answer:

C

Step-by-step explanation:


8 0
3 years ago
14. The area of a rectangle is 375 square inches and it’s perimeter is 80 inches. Find both the length and width.
Pavel [41]

Answer:

Length  =25 inches

Width = 15 inches

Step-by-step explanation:

Let l = length of rectangle, w = width of rectangle

Given the area and the perimeter of the rectangle, we can write:

lw = 375

2l+2w=80

So:

l+w = 80\div2

=40

l=40-w

Now, we can use substitution to find the value of w:

lw = 375

(40-w)w = 375

40w-w^2 = 375

375+w^2-40w = 0 (Quadratic equation)

(w-15)(w-25) = 0

∴ w = 15, 25

We can use substitution again to find the value of l

lw = 375

l=375\div w

=25,15

∵ Length usually refers to the longer side of a rectangle, ∴ length =25 inches and width =15 inches.

Hope this helps :)

8 0
3 years ago
Which ordered pair is a solution to the system of equations?
iren2701 [21]

(- 2, - 3) is a solution to the given system of equations.

Answer: Option D

<u>Step-by-step explanation:</u>

Given equation are not presented in proper format. So, let assume the given system of are as below,

         2 x - y = -1

         2 x -4 y = 8

Now, subtract the second equation from the first, we get

          (2 x - y) -(2 x - 4 y) = -1 -8

          3 y = -9  

           y = -3 (obtained this when divide by 3)

Substituting y = - 3 into the first equation, we get

          2 x - (-3) = - 1

          2 x = - 1 + 3

          x = - 2 (obtained when divide by 2)

Now, the answer is (x, y) = (- 2, - 3)

3 0
4 years ago
Solve the given differential equation by using an appropriate substitution. The DE is of the form dy/dx = f(Ax + By + C), which
Mariana [72]

d<em>y</em>/d<em>x</em> = 4 + √(<em>y</em> - 4<em>x</em> + 6)

Make a substitution of <em>v(x)</em> = <em>y(x)</em> - 4<em>x</em> + 6, so that d<em>v</em>/d<em>x</em> = d<em>y</em>/d<em>x</em> - 4. Then the DE becomes

d<em>v</em>/d<em>x</em> + 4 = 4 + √<em>v</em>

d<em>v</em>/d<em>x</em> = √<em>v</em>

which is separable as

d<em>v</em>/√<em>v</em> = d<em>x</em>

Integrating both sides gives

2√<em>v</em> = <em>x</em> + <em>C</em>

Get the solution back in terms of <em>y</em> :

2√(<em>y</em> - 4<em>x</em> + 6) = <em>x</em> + <em>C</em>

You can go on to solve for <em>y</em> explicitly if you want.

√(<em>y</em> - 4<em>x</em> + 6) = <em>x</em>/2 + <em>C</em>

<em>y</em> - 4<em>x</em> + 6 = (<em>x</em>/2 + <em>C </em>)²

<em>y</em> = 4<em>x</em> - 6 + (<em>x</em>/2 + <em>C </em>)²

7 0
3 years ago
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