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7nadin3 [17]
3 years ago
11

a local charity held a crafts fair selling donated, handmade items. Total proceeds from the sale were 1875. a total of 95 items

were sold, some at 15 each and the rest at 25 each.
Mathematics
2 answers:
34kurt3 years ago
5 0
[email protected]=1125
[email protected]=750

1125+750= 1875
Anastasy [175]3 years ago
3 0
55 items sold for $15 each.
40 sold for $25 each.
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Consider the triangles.
Aleksandr [31]

Answer:

PRETTY SURE ITS D

Step-by-step explanation:

5 0
3 years ago
Find the value of KL.<br> KL= 3x + 2 and LM= 5x - 10
Mariana [72]

From the given graph, we can tell kl=lm 

therefore,

3x + 2 = 5x - 10

3x+2-2=5x-10-2 

subtract 2 from both sides. 

3x+ 0 =5x-12 3x=5x-12 

3x-5x=5x-5x-12 

subtract 5x from both sides.

-2x=0-12 -2x=-12 (-2x)/-2=-12/-2 

divide both sides by -2. 

1x= 6 -12/-2=6 

and of course the -2 and -2 cancel on left side leaving 1x. 

x=6

KL = 3x+2 = 20 units

7 0
4 years ago
If triangle ABC is defined by the coordinated A(3,6), B(7,6), C(7,3) is dilated by a scale factor of 3, with resulting vertex A'
Anastaziya [24]

Answer:

Center of dilation → (0, 0)

Step-by-step explanation:

Vertices of a triangle ABC are A(3, 6), B(7, 6) and C(7, 3).

If this triangle is dilated by a scale factor of 'k' about the origin,

Rule for the dilation is,

(x, y) → (kx, ky)

If vertex A is dilated by a scale factor of 3 about the origin,

A(3, 6) → A'(3×3, 3×6)

           → A'(9, 18)

Therefore, center of dilation is origin (0, 0).

5 0
3 years ago
Identify the radius and center.<br><br> x^2 + y^2 - 2x + 4y - 11 = 0
miss Akunina [59]
<h2>Hello!</h2>

The answer is:

Center: (1,-2)

Radius: 4 units.

<h2>Why?</h2>

To solve the problem, using the given formula of a circle, we need to find its standard equation form which is equal to:

(x-h)^{2}+(y-k)^{2}=r^{2}

Where,

"h" and "k"are the coordinates of the center of the circle and "r" is its radius.

So, we need to complete the square for both variable "x" and "y".

The given equation is:

x^2+y^2-2x+4y-11=0

So, solving we have:

x^2+y^2-2x+4y=11

(x^2-2x+(\frac{2}{2})^{2} )+(y^2+4y+(\frac{4}{2})^{2})=11+(\frac{2}{2})^{2} +(\frac{4}{2})^{2}\\\\(x^2-2x+1)+(y^2+4y+4)=11+1+4\\\\(x^2-1)+(y^2+2)=16

(x^2-1)+(y^2-(-2))=16

Now, we have that:

h=1\\k=-2\\r=\sqrt{16}=4

So,

Center: (1,-2)

Radius: 4 units.

Have a nice day!

Note: I have attached a picture for better understanding.

5 0
4 years ago
Find the derivative of f(x) = 4x + 7 at x = 5.<br><br> 4<br> 1<br> 5<br> 7
Andrej [43]
For this case we have the following function:
 f(x) = 4x + 7 &#10;
 <span>Deriving t</span><span>he function we have:
 </span>f '(x) = 4 &#10;
 We now evaluate the function for the value of x = 5.
 We have then:
 f '(5) = 4 &#10;
 Answer:
 
the derivative of f(x) = 4x + 7 at x = 5 is:
 
4
5 0
3 years ago
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