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Gelneren [198K]

3 years ago

5

Task is to construct two brick columns of the dimensions shown on which an iron gate will eventually be hung. Because the bricks

measure 8" long by 3 1/2" wide by 21/2" high, you decide to build each column by laying the bottom row of
bricks as shown.
How much ground area will be covered by the first row of bricks laid (both columns) as shown above?
sq. in.

1 answer:

lidiya [134]3 years ago

5 0

Answer:

224 in²

Step-by-step explanation:

16 × 14 = 224 in²

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abruzzese [7]

Answer:

$x=\frac{15}{4}=3\frac{3}{4}$

Equation:

$\frac{2}{3}x+\frac{5}{6} =\frac{10}{3}$

<h3>Step-by-step solution</h3>

Linear equations with one unknown

_____________________________________

1. Group all constants on the right side of the equation

$\frac{2}{3}\cdot x+\frac{5}{6}=\frac{10}{3}$

Subtract $5/6$ from both sides:

$\frac{2}{3}x+\frac{5}{6}-\frac{5}{6}=\frac{10}{3}-\frac{5}{6}$

Combine the fractions:

$\frac{2}{3}\cdot x+\frac{5-5}{6}=\frac{10}{3}-\frac{5}{6}$

Combine the numerators:

$\frac{2}{3}\cdot x+\frac{0}{6}=\frac{10}{3}-\frac{5}{6}$

Reduce the zero numerator:

$\frac{2}{3}\cdot x+0=\frac{10}{3}-\frac{5}{6}$

Simplify the arithmetic:

$\frac{2}{3}\cdot x=\frac{10}{3}-\frac{5}{6}$

Find the lowest common denominator:

$\frac{2}{3}\cdot x=\frac{10\cdot 2}{3\cdot 2}+\frac{-5}{6}$

Multiply the denominators:

$\frac{2}{3}\cdot x=\frac{10\cdot 2}{6}+\frac{-5}{6}$

Multiply the numerators:

$\frac{2}{3}\cdot x=\frac{20}{6}+\frac{-5}{6}$

Combine the fractions:

$\frac{2}{3}\cdot x=\frac{20-5}{6}$

Combine the numerators:

$\frac{2}{3}\cdot x=\frac{15}{6}$

Find the greatest common factor of the numerator and denominator:

$\frac{2}{3}\cdot x=\frac{5\cdot 3}{2\cdot 3}$

Factor out and cancel the greatest common factor:

$\frac{2}{3}\cdot x=\frac{5}{2}$

2. Isolate the x

$\frac{2}{3}\cdot x=\frac{5}{2}$

Multiply both sides by inverse fraction 3/2:

$\frac{2}{3}x\cdot \frac{3}{2}=\frac{5}{2}\cdot \frac{3}{2}$

Group like terms:

$\frac{2}{3}\cdot \frac{3}{2}x=\frac{5}{2}\cdot \frac{3}{2}$

Simplify the fraction:

$x=\frac{5}{2}\cdot \frac{3}{2}$

Multiply the fractions:

$x=\frac{5\cdot 3}{2\cdot 2}$

Simplify the arithmetic:

$x=\frac{15}{2\cdot 2}$

Simplify the arithmetic:

$x=\frac{15}{4}$

______________________

Why learn this

Linear equations cannot tell you the future, but they can give you a good idea of what to expect so you can plan ahead. How long will it take you to fill your swimming pool? How much money will you earn during summer break? What are the quantities you need for your favorite recipe to make enough for all your friends?

Linear equations explain some of the relationships between what we know and what we want to know and can help us solve a wide range of problems we might encounter in our everyday lives.

__________________________

Terms and topics

Linear equations with one unknown

4 0

2 years ago

At the beginning of the week, a puppy weighed 5 1/4 pounds. During the week, the puppy gains 8 ounces.

lys-0071 [83]

Answer:

5 3/4

Step-by-step explanation:

8 ounces is half (1/2) of a pound

1/2 is equivalent to 2/4

So I added 5 1/4 and 2/4

Which gives us 5 3/4

5 0

3 years ago

The formula y-y1=m(x-x1)

bagirrra123 [75]

what's the question? you only put a formula

4 0

3 years ago

How do you do this problem?

Anestetic [448]

If this was a little easyer id help you

8 0

3 years ago

Need help solving please.

3241004551 [841]

Answer:

25/36

Step-by-step explanation:

<u>Solved in steps:</u>

- 2/9 - ( -11/12) =
- 2/9 + 11/12 =
- 2*4/9*4 + 11*3/12*3 =
-8/36 + 33/36 =
25/36

Simplest fraction is 25/36

3 0

3 years ago