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3 years ago

Find the greatest common factor of 210, 84, and 56

2 answers:

7 0

Write the prime factors:-

56 = 2*2*2*7
84 = 2*2*3*7
210 = 2*3*5*7

Pick out the numbers common to all three factors;
They are 2 and 7.

So the GCF = 2*7 = 14 answer

mr Goodwill [35]3 years ago

3 0

To get the Greates Common Factor (GCF) of 84 and 210 we need to factor each value first and then we choose all the copies of factors and multiply them:

<span><span>84: 223 7</span><span>210: 2 357</span><span>GCF: 2 3 7</span></span>

<span>The Greates Common Factor (GCF) is: 2 x 3 x 7 = 42</span>

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"The product of four and a<br> number is more than ten."<br> ( write as an inequality thx)

lubasha [3.4K]

Answer:

4x > 10

Step-by-step explanation:

4x > 10

6 0

3 years ago

The average price (in dollars) to rent a studio in a certain city can be approximated by the equation p=28.2t+644 where t is the

egoroff_w [7]

$p = 28.2t + 644\\\\p-644 = 28.2t\\\\\frac{p-644}{28.2} = \frac{28.2t}{28.2}\\ \\t = \frac{p-644}{28.2}$

$t = \frac{1320.80-644}{28.2} \\\\t = 24$

It will take 24 years.

6 0

3 years ago

Name each quadrilateral for which the statement is always true.

sertanlavr [38]

Answer:

rhombus

Step-by-step explanation:

Rhombus has that equiangular and is equilateral but I'm not entirely sure about this...

3 0

3 years ago

») What is the volume of a ball with adiameter of 6 centimeters? Use 3.14for (pie)How is the volume of a sphere related tothe vo

Dahasolnce [82]

Volume of a sphere and a cone

We have that the equation of the volume of a sphere is given by:

$V=\frac{4}{3}\pi r^3$

We have that the radius of a sphere is half the diameter of it:

Then, the radius of this sphere is

r = 6cm/2 = 3cm

<h2>Finding the volume of a sphere</h2>

We replace r by 3 in the equation:

$\begin{gathered} V=\frac{4}{3}\pi r^3 \\ \downarrow \\ V=\frac{4}{3}\pi\cdot3^3 \end{gathered}$

Since 3³ = 3 · 3 · 3 = 27

$\begin{gathered} V=\frac{4}{3}\pi3^3 \\ \downarrow \\ V=\frac{4}{3}\pi\cdot27 \end{gathered}$

If we use π = 3.14:

$\begin{gathered} V=\frac{4}{3}\pi\cdot27 \\ \downarrow \\ V=\frac{4}{3}\cdot3.14\cdot27 \\ \downarrow \\ V=4.18\bar{6}\cdot27 \end{gathered}$

Rounding the first factor to the nearest hundredth (two digits after the decimal), we have:

4.18666... ≅ 4.19

Then, we have that:

$\begin{gathered} V=\frac{4}{3}\pi\cdot27 \\ \downarrow \\ V=4.19\cdot27 \\ =113.13 \end{gathered}$

Then, we have that:

<h2>Finding the volume of a cone</h2>

We have that the volume of a cone is given by:

$V=\frac{1}{3}\pi r^2h$

where r is the radius of its base and h is the height:

Then, in this case

r = 3

h = 6

and

π = 3.14

Replacing in the equation for the volume:

$\begin{gathered} V=\frac{1}{3}\pi r^2h \\ \downarrow \\ V=\frac{1}{3}\cdot3.14\cdot3^2\cdot6 \end{gathered}$

Then, we have:

3² = 9

$\begin{gathered} V=\frac{1}{3}\cdot3.14\cdot3^2\cdot6 \\ \downarrow \\ V=\frac{1}{3}\cdot3.14\cdot9\cdot6 \\ V=\frac{1}{3}\cdot3.14\cdot54 \\ V=56.52 \\ \end{gathered}$

Answer: the volume of the cone that has the same circular base and height is 56.52 cm³

5 0

1 year ago

What is , x + 4 + 5x =34

galina1969 [7]

X+4+5x=6x+4
6x+4=34
6x=30 (minus 4 on both sides)
30÷6=5
hence: x=5

4 0

3 years ago

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