A. 3(x + 2) = 18. B. 3x + 6 = 18 how can we get equation B from equation A? Choose 1 answer

Find the LCM and HCF of 64 and 72 using prime factors

Nadya [2.5K]

What is the LCM of 64 and 72?

Find the prime factorization of 64.

Find the prime factorization of 72. 72 = 2 × 2 × 2 × 3 × 3.

Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the LCM: LCM = 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3.

LCM = 576.

What is the GCF of 64 and 72?

Find the prime factorization of 64. 64 = 2 × 2 × 2 × 2 × 2 × 2.

Find the prime factorization of 72. 72 = 2 × 2 × 2 × 3 × 3.

To find the GCF, multiply all the prime factors common to both numbers: Therefore, GCF = 2 × 2 × 2.

GCF = 8.

4 0

3 years ago

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What is the volume of 22.5 g of metal with a density of 2.81 g/cm

xz_007 [3.2K]

Answer:V = 72.1 cm³ - 50.0 cm³ = 22.1 cm³

D = mV=99.7g22.1cm³ = 4.51 g/cm³

Step-by-step explanation:

d = mV

m = d×V

V = md

DENSITY

Density is defined as mass per unit volume.

d = mV

Example:

A brick of salt measuring 10.0 cm x 10.0 cm x 2.00 cm has a mass of 433 g. What is its density?

Step 1: Calculate the volume

V = lwh = 10.0 cm × 10.0 cm × 2.00 cm = 200 cm³

Step 2: Calculate the density

d = mV = 433g200cm³ = 2.16 g/cm³

MASS

d = mV

We can rearrange this to get the expression for the mass.

m = d×V

Example:

If 500 mL of a liquid has a density of 1.11 g/mL, what is its mass?

m = d×V = 500 mL × 1.11g1mL = 555 g

VOLUME

d = mV

We can rearrange this to get the expression for the volume.

V = md

Example:

What is the volume of a bar of gold that has a mass of 14.83 kg. The density of gold is 19.32 g/cm³.

Step 1: Convert kilograms to grams.

14.83 kg × 1000g1kg = 14 830 g

Step 2: Calculate the volume.

V = md = 14 830 g × 1cm³19.32g = 767.6 cm³

7 0

4 years ago

Question 2 options:

Vikki [24]

Answer:

slope

point-slope form

correlation

Step-by-step explanation:

If you have a line and you know the coordinates of a point on the line, (x1, y1); and you know the slope, m, you can write the equation of the line in point-slope form, y - y1 = m(x - x1). 2 variable data whose point pattern can be represented best by a line is said to have a linear correlation.

The slope, meaning how steep a line is, is represented by the variable m for linear equations.

y - y1 = m(x - x1) is point-slope form, one type of linear equation to represent a straight line. (There is also standard form and slope-intercept form).

Correlation is the relationship between things, like 2 variable data.

8 0

3 years ago

A right cubic prism has edges of 2 1/2 inches. How

3241004551 [841]

Answer:

Option D, the volume is 15.625 cubes

Step-by-step explanation:

For a cube of side length L, the volume is:

V = L^3

for the smaller cubes, we know that each one has a side length of 1 in, then the volume of each small cube is:

v = (1in)^3 = 1 in^3

Then:

1 in^3 is equivalent to one small cube

Here we know that the side length of our cube is (2 + 1/2) in

Then the volume of this cube will be:

V = [ (2 + 1/2) in]^3

To simplify the calculation, we can write:

2 + 1/2 = 4/2 + 1/2 = 5/2

Then:

V = ( 5/2 in)^3 = (5^3)/(2^3) in^3 = 125/8 in^3 = 15.626 in^3

This means that 15.625 small cubes will fill the prism.

So the correct option is D.

8 0

3 years ago

What is the area to this shape and tell me why pls I need help asap tonight

LUCKY_DIMON [66]

I'm sorry I can't see it clearly.

6 0

3 years ago

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