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Alekssandra [29.7K]
3 years ago
12

Ken and Mali put candies in bags to give away at Ken's birthday party. They started with an equal number of candies and put the

same number in each bag. Ken filled nine bags and had three candies left. Mali filled eight bags and had ten candies left. How many candies were in each bag?
Mathematics
2 answers:
Valentin [98]3 years ago
8 0

Answer:

The correct answer is 7.

Step-by-step explanation:

Let there be x number of candies in each bag filled by Ken and Mali.

Both Ken and Mali started with equal number of candies and put same number of candies in each bag.

Ken filled nine bags and had three candies left. Therefore total number of candies Ken had = 9x + 3.

Mali filled eight bags and had ten candies left. Therefore total number of candies Mali had = 8x + 10.

As both had equal number of candies in the beginning,

9x + 3 = 8x + 10

⇒ x  = 10 - 3 = 7

Thus each bag contained 7 candies.

omeli [17]3 years ago
8 0

Answer:

7

Step-by-step explanation:

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Graph f(x) =-2x^+16x-30 by factoring to find the solutions, then find the coordinates of the vertex, and the axis of symmetry. I
fredd [130]

Answer:

<em>Observe attached image</em>

<em>Function zeros:</em>

(3, 0), (5, 0)

<em>Vertex:</em>

(4, 2)

<em>Axis of symmetry:</em>

<em>x =4</em>

Step-by-step explanation:

<u>First factorize the function</u>

f (x) = -2x ^ 2 + 16x-30

<em>Take -2 as a common factor.</em>

-2(x ^ 2 -8x +15)

<em>Now factor the expression x ^ 2 -8x +15</em>

You must find two numbers that when you add them, obtain the result -8 and multiplying those numbers results in 15.

These numbers are -5 and -3

Then we can factor the expression in the following way:

f (x) = -2(x-5)(x-3)

<em><u>The quadratic function cuts the x-axis at </u></em><em>x = 3 and at x = 5.</em>

Now we find the coordinates of the vertex.

For a function of the form ax ^ 2 + bx + c the x coordinate of its vertex is:

x = \frac{-b}{2a}

In the function f (x) = -2x ^ 2 + 16x-30

a = -2\\b = 16\\c = 30

<u>Then the vertice is:</u>

x = \frac{-16}{2(-2)}\\\\x = 4

The y coordinate of the symmetry axis is

y = f (4) = -2 (4) ^ 2 +16 (4) -30\\\\y = 2

The axis of symmetry is a vertical line that cuts the parabola in two equal halves. This axis of symmetry always passes through the vertex.

<u>Then the axis of symmetry is the line</u>

x = 4

<u>The solutions and the vertice written as ordered pairs are:</u>

<em>Function zeros:</em>

(3, 0), (5, 0)

<em>Vertex:</em>

(4, 2)

6 0
3 years ago
Please help i think the answer is c but im not sure
katrin2010 [14]

Answer:

It's C

Step-by-step explanation:

Because the angle measurements are the same on rectangles and they have the same side lengths but the one on the right is a smaller rectangle which its only half the side of the bigger one.  

7 0
2 years ago
a horse weight decreases by 1/2 pound per week at this rate how many weeks will it take for the horse to visit total of 5 1/2 wr
kykrilka [37]

Answer:

11 weeks

Step-by-step explanation:

5÷1/2=10

10+1=11

Sorry if I'm wrong

4 0
2 years ago
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Thats the question ​
elixir [45]

Answer:

160 in ^2

Step-by-step explanation:

First we need to find the area of each shape and add them together

1. Triangles:

The formula for a triangle is (base x height)/2, so we can replace them as (5 * 4)/2 * 2( Because there are two triangles), so therefore the two triangles will add up to 20 inches

2. The Rectangles

<u>The Big Rectangle:</u>

The big rectangle is just <em>l x w </em> or 5 * 20 which is 100

<u>The small rectangle:</u>

To find the width of the small rectangle you have to do 20 - (5 + 5) because we are not including the triangles. 20 - (5 +  5) = 10, so that would be 10 * 4 = 40.

3.Add them together

20 + 100 + 40 = 160 inches ^2

Hope this helps!!!

4 0
3 years ago
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