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Tanzania [10]
3 years ago
8

5. Lily has 144 ceramic beads and 108 wooden beads. She plans to store the beads equally in 6 boxes. How many beads will be in e

ach box?
A: 6 beads
B: 36 beads
C:30 beads
D: 42 beads
Mathematics
1 answer:
Sphinxa [80]3 years ago
8 0

Answer:

D: 42 beads

Step-by-step explanation:

First, you would add 144 and 108 together, to get 252 beads.

Then, you would do 252 divided by 6, to get 42.

So 42 (D) beads would be in each box.

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0.375

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A linear function has a slope of 3 and crosses the y- axis at 7. What is the equation of the line?
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Point A is located at (2, 6), and point M is located at (−1, 8). If point M is the midpoint of segment AB, find the location of
Viefleur [7K]

ANSWER:

d. (−4, 10)

STEP-BY-STEP EXPLANATION:

The midpoint has the following definition:

\left(x_m,y_m\right)=\left(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\right)

We can calculate point B, using the following equations obtained taking into account the above:

\begin{gathered} x_m=\frac{x_1+x_2}{2} \\  \\ -1=\frac{2+x_2}{2} \\  \\ x_2+2=-2 \\  \\ x_2=-2-2=-4 \\  \\  \\ y_m=\frac{y_1+y_2}{2} \\  \\ 8=\frac{6+y_2}{2} \\  \\ y_2+6=16 \\  \\ y_2=16-6=10 \\  \\ \text{ Therefore, point B is located at \lparen-4, 10\rparen} \end{gathered}

The correct answer is: d. (−4, 10)

8 0
1 year ago
A cross shaped pattern is made by arranging four identical rectangles around the sides of a square. The area of the square is 36
kipiarov [429]

Answer:

Area of a square is length * length

Area of a rectangle is length * breadth

In the question, the area of the square is 36

And the area of the rectangle is 1(1/3) the area of the square

To find the area of the rectangle, multiply 1(1/3) by the area of the square(36)

Area of rectangle becomes, 1(1/3) * 36 = (4/3) * 36 = 48cm2

To find the perimeter of the shape, we must find the perimeter of the rectangle - perimiter of the square

Since area of square is length * length, the length of the square is 6cm

The breadth of the rectangle is equal to the length of the square, hence, b = 6cm

Since, length * breadth = 48

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l = 8

Perimeter of the shape = 4 * perimeter of rectangle - perimter of square

Perimeter of rectangle = 2(l+b)

Perimeter of sqaure = 4l

Our answer = 4 * 2(6+8) - 4(6)

= 4 * 28 - 36

= 88cm  

Step-by-step explanation:

7 0
3 years ago
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