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Answer:
2 7/12
Step-by-step explanation:
Make 4 1/4 and 1 2/3 have a common denominator.
4 1/4 - 1 2/3 = 31/12
31/12 simplified is 2 7/12
Answer:
840 cm³
Step-by-step explanation:
Cut the prism into two cuboids.
The first cuboid has dimensions of 4 cm × 6 cm × 5 cm
The height is 4 cm, the width is 5 cm and the length is 6 cm.
The second cuboid has dimensions of 15 cm × 6 cm × 8 cm.
The height is 8 cm, the width is 6 cm and the length is 15 cm.
The formula for the volume of the cuboid is l×w×h.
Length × Width × Height
The first cuboid has a volume of:
4 cm × 6 cm × 5 cm
= 120 cm³
The second cuboid has a volume of:
15 cm × 6 cm × 8 cm
= 720 cm³
Add the volumes of the two cuboids.
720 cm³ + 120 cm³
= 840 cm³
The volume of the prism is 840 cm³.
The solution to the given equation is x = -8
<h3>Solving Linear Equations</h3>
From the question, we are to determine value of x in the given equation
The given equation is
(x + 6)/x = 1/4
To solve the given equation, we would solve for the unknown variable x
(x + 6)/x = 1/4
First, multiply both sides of the equation by x
x + 6 = x × 1/4
x + 6 = x/4
Now, multiply both sides of the equation by 4
4(x + 6) = 4 × x/4
4x + 24 = x
Now, subtract x from both sides of the equation
4x - x + 24 = x - x
3x + 24 = 0
Subtract 24 from both sides of the equation
3x + 24 - 24 = 0 - 24
3x + 0 = -24
3x = -24
Divide both sides of the of the equation by 3
3x/3 = -24/3
x = -8
Hence, the solution to the given equation is x = -8
Learn more on Solving Linear Equations here: brainly.com/question/85186
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I think the answer is 58, but im not 100% sure so im sorry if it is wrong