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attashe74 [19]
3 years ago
13

Solve for z:

mula1" title="\frac{2z-3}{20} - \frac{z-6}{4} = 3" alt="\frac{2z-3}{20} - \frac{z-6}{4} = 3" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
Allushta [10]3 years ago
6 0
Multiply both sides of the equation by 20. 2z-3-5(z-6)=60. 2z-3-5z+30=60. -3z-3+30=60. -3z+27=60. -3z=60-27. -3z=33. Divide both sides by 3. Answer is: Z= -11
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julsineya [31]
The answer is -8/1 two negatives equals negative which would be -11 then subtract positive 3 equals-8
7 0
2 years ago
Please help me with this question!
Rasek [7]

Answer:

87 packages

Step-by-step explanation:

First we need to find the volume of the cone-shaped vase.

The volume of a cone is given by:

V_cone = (1/3) * pi * radius^2 * height

With a radius of 9 cm and a height of 28 cm, we have:

V_cone = (1/3) * pi * 9^2 * 28 = 2375.044 cm3

Each package of sand is a cube with side length of 3 cm, so its volume is:

V_cube = 3^3 = 27 cm3

Now, to know how many packages the artist can use without making the vase overflow, we just need to divide the volume of the cone by the volume of the cube:

V_cone / V_cube = 2375.044 / 27 = 87.9646 packages

So we can use 87 packages (if we use 88 cubes, the vase would overflow)

5 0
3 years ago
Read 2 more answers
Tell which number is prime: 18, 42, 68, 79.
fredd [130]
The number is 79 that is prime
8 0
3 years ago
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The sides of a rectangular room are perpendicular to each other.
stiv31 [10]

Answer:

120 m^2

Step-by-step explanation:

Length of the room = 10 m

Breadth of the room = 12 m

We know that, Area = Length * Breadth

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Total Area of carpet needed to cover the floor of the room = 12 * 10 = 120 m^2

5 0
2 years ago
For f(x)=4x+1 and g(x)=x^2-5,find(f•g)(4)
RoseWind [281]

Answer:

(f•g)(4) = 45

Step-by-step explanation:

f(x)=4x+1

g(x)=x^2-5

(f•g)(x) = 4(x^2 -5)+1

(f•g)(4) = 4(4^2 -5)+1

(f•g)(4) = 4(16-5)+1

(f•g)(4) = 4(11)+1

(f•g)(4) = 44 + 1

(f•g)(4) = 45

8 0
3 years ago
Read 2 more answers
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