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balandron [24]
2 years ago
14

1/4 of a rod was painted red. 2/5 was painted orange and 2/7 of the remainder was painted yellow. The yellow section was 20cm lo

ng how long was the rod
Mathematics
1 answer:
Leno4ka [110]2 years ago
6 0

Answer: 200cm long

Step-by-step explanation:

Let the length of the rod be x

red = 1/4 of the rod , which means 1/4 of x

orange = 2/5 of x

The remainder = x - (\frac{x}{4} +\frac{2x}{5})

= x - (\frac{13x}{20})

= \frac{7x}{20}

yellow = 2/7 of the remainder , that is

yellow = 2/7 of \frac{7x}{20}

yellow = \frac{x}{10}

and it was given that the yellow section was 20cm long , that is

\frac{x}{10} = 20cm

x = 20 x10

x = 200

Therefore the rod was 200cm long

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Answer:

14

Step-by-step explanation:

7/5. = x/ x- 4 (the ratio to each other is the same)

cross multiply

7x-28 = 5x

simplified: -2x = -28

divide x and -28 by -2

x= 14

x= # of girls

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2 years ago
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A cube has a surface area of 96 square inches. If 16 cubes are
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Answer:

Step-by-step explanation:

A cube has 6 square faces with equal areas by definition. So a cube with a surface area of 96 units would have the surface area of each side be 96/6 = 16 square units.

Because each face of a cube is a square, it has 4 equal sides. This means that each side of the square is 16/4 = 4 units in length. Since each side of the square face is also an edge of the cube, and the way to calculate the volume of a cube is (length of an edge)^3, this means that the volume of the cube must be 4^3 = 64 cube units.

Volume of Cube = 64 cube units.

8 0
3 years ago
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Deena has a tool box in the shape of a right rectangular prism. The volume of the tool box is 0.375 cubic feet. The height of th
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Answer:

0.5 ft

Step-by-step explanation:

The applicable volume formula is ...

V = length · width · height

Filling in the given numbers, we can solve for the width.

0.375 ft^3 = (1.5 ft) · width · (0.5 ft)

Dividing by the coefficient of width, we have ...

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The width of Deena's tool box is 0.5 ft.

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2 years ago
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What is the solution to the following system of equations: (2x+5y = -4) (4x-5y = 22)
o-na [289]
2x+5y=-4 \\ 4x-5y=22

There are many ways of solving a system of equation, a very used one is by elimination of variables, which consists in eliminating one of the variables by combining the equations.
Let's do the following combination: (eq 1) + (eq 2)
This means that we add each term vertically:
2x+5y=-4 \\ 4x-5y=22
⇒ 6x=18

When I said "add vertically" means that you add the first term of the first equation with the first term of the second equation. The second term of the first equation with the second term of the second equations, and so on.
This allowed us to remove the "y" temporarily so we can get a linear one-variable equation we can easily solve:

6x=18 \\ x=3

Now that we know the value of "x", we can plug it in any of the starting equations and get "y":
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Therefore, our answer looks like this:
\left \{ {{x=3} \atop {y=-2}} \right.
6 0
3 years ago
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