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3 years ago

A brick Is 4x2x8 inches. Carl sets three bricks side by side. What is their combined volume?

Mathematics

2 answers:

Dennis_Churaev [7]3 years ago

6 0

Volume of one brick
= L × B × H
= 4 × 2 × 8
= 64 inches³

Three bricks
= 64 × 3
= 192 inches³

Phantasy [73]3 years ago

5 0

volume = l x w x h

so 4 x 2 x 8 = 64 cubic inches per brick

64 x 3 = 192 cubic inches total

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Give the answer to the following fractions *12 points*

sergey [27]

1) 1 1/3
2) 3/4
3) 5/12
4) 1/5
5) 1/15
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3 years ago

On comparing the ratios of the coefficients, find out whether the pair of equations x – 2y =0 and 3x + 4y -20 =0 is consistent o

lesya692 [45]

Answer:

The pair of equations is consistent

Step-by-step explanation:

A consistent system of equations has at least one solution

The consistent independent system has exactly 1 solution

The consistent dependent system has infinitely many solutions

An inconsistent system has no solution

In the system of equations ax + by = c and dx + ey = f, if

a = d, b = e, and c = f, then the system is consistent dependent and has infinitely many solutions
a = d, b = e, and c ≠ f, then the system is inconsistent and has no solution
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∵ x - 2y = 0

∴ The coefficient of x ⇒ a = 1

∴ The coefficient of y ⇒ b = -2

∴ The numerical term ⇒ c = 0

∵ 3x + 4y - 20 = 0

→ Add 20 to both sides

∴ 3x + 4y - 20 + 20 = 0 + 20

∴ 3x + 4y = 20

∵ The coefficient of x ⇒ d = 3

∵ The coefficient of y ⇒ e = 4

∵ The numerical term ⇒ f = 20

∵ a ≠ d

∵ b ≠ e

∵ c ≠ f

∵ $\frac{a}{d}$ = $\frac{1}{3}$

∵ $\frac{b}{e}$ = $\frac{-2}{4}$ = $\frac{-1}{2}$

∴ $\frac{a}{d}$ ≠ $\frac{b}{e}$

→ By using rule 3 above

∴ The pair of equations is consistent

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3 years ago

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Anarel [89]

Answer:

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Step-by-step explanation:

(8*9)+(5*7)=107

6 0

3 years ago

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I need help with this math question ill give brainliest plus free points

Mandarinka [93]

Answer:

The answer is C) -2 and 6

Step-by-step explanation:

x+4 / -3x^2 + 12x + 36

= x + 4 / -3 ( x^2 - 4x - 12)

= x - 4 / -3(x - 6)(x + 2)

the excluded values make the denominator = 0

so the answer is -2and 6

7 0

3 years ago

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One smartphone plan costs $52 per month for talk and messaging and $8 per gigabyte of data used each month. A second smartphone

nevsk [136]

Answer:

a) 6 gigabytes

b) $100

Step-by-step explanation:

Let c represent the total cost in dollars and d represent the amount of data used in gigabytes.

For the first smartphone

One smartphone plan costs $52 per month for talk and messaging and $8 per gigabyte of data used each month.

Equation =

c = 52 + 8d

For the Second smartphone

A second smartphone plan costs $82 per month for talk and messaging and $3 per gigabyte of data used each month.

Equation =>

c = 82 + 3d

How many gigabytes would have to be used for the plans to cost the same?

We would equate both cost to each other

52 + 8d = 82 + 3d

Collect like terms

8d - 3d = 82 - 52

5d = 30

d = 30/5

d = 6

Therefore,

a) The number of gigabytes for the cost of both Smartphone data plans to be the same = 6 gigabytes.

b) The cost of both plans if 6 gigabytes is used =>

c = 52 + 8d

c = 52 + 8 × 6

c = $100

3 0

3 years ago