How is breaking apart the problem 16x34 like solving four simpler problems?

Nathan has a sculpture in the shape of a pyramid. The height of the sculpture is 3 centimeters less than the side length, x, of

uysha [10]

Let
x-----------> the side length of a pyramid square base
h-----------> the height of the sculpture in the shape of a pyramid

we know that
h=(x-3)
Volume=162 cm³
Volume=x² *(x-3)/3
then
x² *(x-3)/3=162----------> x³-3x²=486----------> x³-3x²-486=0
x³-3x²-486=0-------- this equation can be used to find the length of the sculpture’s base

using a graph tool-----------> to find the solution
x=9 cm -------------> see the attached figure
h=(x-3)-----> h=9-3--------> h=6 cm

the answer is
the length of the sculpture’s base is 9 cm
the height of the sculpture is 6 cm

8 0

3 years ago

Math problem please help

PolarNik [594]

Step-by-step explanation:

Equations:

68.75 = 0.5c + 1.25m

c + m = 100

First, let's get rid of one of the variables. Let's start with the simplest equation first. Let's move a variable, so that only one variable is equal to the rest of the equation.

c + m = 100 to c = -m + 100

(it doesn't matter which variable)

Next, since we have what variable c is equal to, we will now incorporate it into our more complex equation.

68.75 = 0.5(-m + 100) + 1.25 m

Now, to get rid of the parentheses, and just have a regular addition equation with the only variable being m.

68.75 = -0.5m + 50 + 1.25m

Next, we need to make it so that there is only one version of the variables. Just combine the variables together so that the form one cohesive unit.

68.75 = 0.75m + 50

Now, we are going to do the same thing that we did in our first equation (with a mix of the last step we just did), but instead of variables, we are going to do it with the whole numbers instead, and converge them onto one side of the equal sign. Keep in mind that at this step in the process, the variable with it's cohesive unit should be isolated on one side of the equal sign and the other being taken up solely by whole numbers.

118.75 = 0.75m

Now, we just need to make the variable equal to 1 (or just m). So we must either multiply or divide. In this case we will be multiplying both sides by 0.75.

118.75 x 0.75 = 0.75m

So, after this step, you should have an answer of;

89.0625

However, you can't just sell a 0.0625% portion of something to somebody (especially muffins, like come on). Also, the amount of cookies and muffins must be equal to 100 and each variable is in whole numbers (usually).

*Always make sure that when you are done with a problem that you double check it. Usually, with equations like this, you just plug in the variables into the equations, and if they fit both equations, you've done well.

From this point forward, I'm leaving you to your own devices. It's 2:38 a.m. and I need to get up at 7:15. I hope this helps!

7 0

2 years ago

How to find the mode.

Lady_Fox [76]

Answer:

To find the mode, order the numbers lowest to highest and see which number appears the most often.

Step-by-step explanation:

5 0

2 years ago

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Tracy took a quiz containing 12 items. If she answered 5/6 of the items correctly how many items did Tracy answer correctly?

Orlov [11]

Answer:

10

Step-by-step explanation:

5/6=10/12

3 0

3 years ago

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Rosemary walks each week for exercise. Let d represent the distance walked and h represent the number of hours spent walking.

nadya68 [22]

Ok last week she walked 18/6 which equals 3 and 3 is less than 2.5. 2.5h is really just that times how many hours.D is the amount of miles.So,the awnser is going to be b or d.But we dont know what d is in d=2,5h so we have to asume that b is the awnser

8 0

3 years ago

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