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3 years ago

Z=m-x solve for x.I'm really confused!! Help

Mathematics

2 answers:

saveliy_v [14]3 years ago

7 0

Z=m-x can be rearranged so that x=m-z. That is your answer.

Hope this helps :)

Greeley [361]3 years ago

5 0

Z=m-x
Add x to both sides
z + x=m
Subtract z from both sides so that the only thing remaining on the left side is the variable x.
Final Answer: x= m - z

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A gumball has a diameter that is 66 mm. The diameter of the gumball's spherical hollow core is 58 mm. What is the volume of the

grigory [225]

Answer:

Volume of gumball without including its hollow core is 48347.6 cubic mm.

Step-by-step explanation:

Given:

Diameter of Gumball = 66 mm

Since radius is half of diameter.

Radius of gumball = $\frac{diameter}{2}=\frac{66}{2} =33 \ mm$

Now We will first find the Volume of Gumball.

To find the Volume of Gumball we will use volume of sphere which is given as;

Volume of Sphere = $\frac{4}{3}\pi r^3$

Now Volume of Gumball = $\frac{4}{3}\times3.14 \times (33)^3 = 150456.24 \ mm^3$

Also Given

Diameter of gumball's spherical hollow core = 58 mm

Since radius is half of diameter.

Radius of gumball's spherical hollow core = $\frac{diameter}{2}=\frac{58}{2} =29 \ mm$

Now We will find the Volume of gumball's spherical hollow core.

Volume of Sphere = $\frac{4}{3}\pi r^3$

So Volume of gumball's spherical hollow core = $\frac{4}{3}\times3.14 \times (29)^3 = 102108.61 \ mm^3$

Now We need to find volume of the gumball without including its hollow core.

So, To find volume of the gumball without including its hollow core we would Subtract Volume of gumball spherical hollow core from Volume of Gumball.

volume of the gumball without including its hollow core = Volume of Gumball - Volume of gumball's spherical hollow core = $150456.24\ mm^3 - 102108.61\ mm^3 = 48347.63\ mm^3$

Rounding to nearest tenth we get;

volume of the gumball without including its hollow core = $48347.6\ mm^3$

Hence Volume of gumball without including its hollow core is 48347.6 cubic mm.

8 0

3 years ago

Dina planted a six-foot tree in her backyard which she expects to grow at the rate of 4 feet per year. Find the equation of the

Scrat [10]

Answer:

y = 6 + 4x

After 4 years, the tree would be 22 ft tall.

Step-by-step explanation:

Hi there!

Let x = the number of years that pass

Let y = the height of the tree (ft)

We're given that the 6-foot tree grows at a rate of 4 ft per year. This means that the height of the tree will be equal to 6 ft, the original height, plus another 4 ft every year that passes.

Height of tree = 6 feet + 4 feet × number of years that pass

y = 6 + 4x

To solve for how tall the tree would be 4 years after Dina plants it, replace x with 4, since 4 years have passed:

y = 6 + 4(4)

y = 6 + 16

y = 22

Therefore, the tree would be 22 ft tall.

I hope this helps!

8 0

3 years ago

The hypotenuse of a right triangle is 4 times the smallest side. The third side is 4√15 cm. Find the length of the smallest side

Brums [2.3K]

Answer:

x=4 cm

Step-by-step explanation:

x=smallest side

4x=hypotenuse

4√15=third side

use the Pythagorean Theorem

(4x)^2=x^2+(4√15)^2

16x^2=x^2+240

16x^2-x^2=240

15x^2=240

x^2=240/15

x^2=16

x=√16

x=4 cm is the smallest side

the hypotenuse is 16 cm

the third side is 4√15 cm

8 0

3 years ago

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Solving quadratic equations is one of the main topics of this unit. Some quadratic equations can be solved with only one method,

Mariana [72]

Hi there!

Many things we do in everyday life have a variety of ways we can go about accomplishing them, but we most often choose the most practical and efficient method.

Efficiency saves time and prevents over-complication, which may lead to errors.

We might need to identify the specifics of the task and its circumstances to be able to determine the most efficient method to do it.

Solving a quadratic equation, we also must think about the most efficient method that can lead us to the correct answer. And doing so, we must identify the circumstances of the equation; Can it be solved by factoring? Is it easy to factor? What form is this quadratic equation in?

For example, let's say we're given the equation (x-1)(x+2)=0. This is an equation in factored form. In these kinds of scenarios, we can easily solve by setting each term equal to 0 (the Zero Product Property). This is the most efficient method:

x-1=0 --> x=1

x+2=0 --> x=-2

I hope this helps!

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3 years ago

What is the slope of the line? What is the y-intercept? Write the equation of the line

ohaa [14]

Answer:

slope is 2

y-intercept is 3

equation y=2x+3

Step-by-step explanation:

6 0

2 years ago

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