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Brilliant_brown [7]
3 years ago
12

Lucia is making a 21.6 centimeter beaded string to hang in the window. She decides to put a green bead every 0.4 centimeters and

a purple bead every 0.6 centimeters. How many green beads will she need?
Mathematics
1 answer:
charle [14.2K]3 years ago
7 0

Answer: 54 green beads

Step-by-step explanation:

From the question, we are informed that Lucia is making a 21.6 centimeter beaded string to hang in the window and that she decides to put a green bead every 0.4 centimeters and a purple bead every 0.6 centimeters.

The number of green beads that she will need will be gotten by dividing the total length of bead she wants to make by 0.4. This will be:

= 21.6 / 0.4

= 54 green beads

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Area Of Cuboid = length*width*height

The length * width is the area of the base, so:

Area Of Cuboid = base*height = 6 * 4 = 24 meters^3
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Slope:<br> Y-Intercept:<br> Equation:
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Slope: 3/2.
Y intercept: -3
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Rectangle ABCD has vertices at (-7,-2); (1, -2); (1, -8); and (-7, -8) respectively. If GHJK is a similar rectangle where G(2, 5
Minchanka [31]

Answer:

J (6,2) K (2,2)

Step-by-step explanation:

Now distance of AB = [(y2-y1)^2 + (x2-x1)^2]^(1/2)

                                = 8 units

CB =  [(y2-y1)^2 + (x2-x1)^2]^(1/2)

= 6 units by using same formula

Now AB/CB must equal to GH/HJ as rectangles are similar

GH =  [(y2-y1)^2 + (x2-x1)^2]^(1/2)

= 4 units

so

8/6 = 4/HJ

So,

HJ = 3 units

Now if we see the coordinates given carefully, it is obvious that two perpendicular lines lie perfectly parallel to x and y coordinates in rectangle ABCD.  A is (-7,-2) and B is (1,-2) which means distance along y-axis doesn't change. Similarly for C (1,-8) and D (-7,-8), one can see that distance between y-axis doesn't change. So lines AB and CD of rectangle are parallel with x and AD and BC are parallel with y-axis.

In rectangle GHJK one can see that in given coordinates, G(2,5) and H(6,5), y coordinate is same so it is parallel to x axis. Now, HJ is perpendicular to GH so it must be parallel to y axis. It means if we know the lengths of sides we can easily determine unknown coordinates by simple addition and subtraction.

So,  we know HJ = 3 units

J is (6,2) since HJ is parallel to y axis so distance on x axis will remain unchanged and length of line HJ will effect distance of y axis.

Similarly K is (2,2) for the same reason.

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3 years ago
Evaluate math pls help algebra
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Answer:

A. -10

B. -1

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Answer:

(a)Equation representing amount of lights on Monday is 2 x  + 3 y = 44

(b)Equation representing amount of lights on Tuesday is 5 x  + 3 y = 56

(c) Bob uses 4 stands of light on Bushes

    and Bob uses 12 strands of lights on trees.

Step-by-step explanation:

Let x = strands of lights on bushes.

​Let y = strands of lights on trees.

Bob used ​44 strands of light to decorate 2 bushes and 3 trees on Monday.

So, the number of light on 2 bushes  = 2x

and  the number of light on 3 tress  = 3 y

⇒ 2 x  + 3 y = 44

Also, On Tuesday, ​Bob used 56 strands of lights to decorate 5 bushes and 3 trees.

So, the number of light on 5 bushes  = 5x

and  the number of light on 3 tress  = 3 y

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Now, solving the system of equations:

2 x  + 3 y = 44

5 x  + 3 y = 56

Subtract equation (2) from (1), we get

2 x  + 3 y  - (5 x  + 3 y)  = 44   - 56

or, 2x - 5x = - 12

or, 3x  =  12 ⇒ x =  12/3  = 4    or x  = 4

Using x  = 4 in 2x + 3y = 44

2(4)  + 3y  =  44

or, 3y = 44- 8 = 36

or y = 36 /3 = 12 or y  = 12

So, the value of x  = 4, and y = 12

Hence, here Bob uses 4 stands of light on Bushes

and Bob uses 12 strands of lights on trees.

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