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2 years ago

Solve the equation no calculator 1/5 (x +2)= 1/4 (x + 6)

Mathematics

1 answer:

NeTakaya2 years ago

8 0

First, you need to get rid of the fraction by multiplying both sides by 20 and you would get:

4(x + 2) = 5(x + 6)

Now, you need to get rid of the parenthesis by distributing:

4x + 8 = 5x + 30

Subtract both sides by 5x:

-x + 8 = 30

Subtract both sides by 8:

-x = 22

Now, divide both sides by -1:

x = -22

P.S.: You don't really need a calculator to solve.

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The object on the right is made from a square-based pyramid joined to a cuboid.

spayn [35]

Answer:

Density of steel = 80.73 gm/ $cm^3$

Step-by-step explanation:

The figure is made up of cuboid and square pyramid.

Height of cuboid, h = 9 cm

Length of cuboid, l = 6 cm

Width of cuboid, w = 6 cm

Volume of cuboid is given by the formula:

$V_{Cuboid} = l \times w \times h$

$V_{Cuboid} = 6 \times 6 \times 9\\\Rightarrow V_{Cuboid} = 324\ cm^3$

Density of Wood , $D_{Cuboid}$ = 0.68g/ $cm^3$

We know that formula of Density is:

$Density = \dfrac{Weight}{Volume}$

$D_{Cuboid} = \dfrac{W_{Cuboid}}{V_{Cuboid}}\\\Rightarrow W_{Cuboid} = V_{Cuboid} \times D_{Cuboid}$

Putting the values:

$W_{Cuboid} = 324 \times 0.68 = 220.32\ gm$

Total weight = $W_{Cuboid} + W_{Pyramid}$

970 = 220.32 $+ W_{Pyramid}$

$W_{Pyramid}$ = 749.68 gm

Volume of pyramid is given as:

$V_{Pyramid}= \dfrac{1}{3} \times \text{Area of Base} \times \text{Vertical Height}$

Base is a square with side 6 cm

$V_{Pyramid}= \dfrac{1}{3} \times 6 \times 6 \times (17 -9)\\V_{Pyramid}= 96\ cm^3$

Density of Steel/Pyramid:

$D_{Pyramid} = \dfrac{W_{Pyramid}}{V_{Pyramid}}\\\Rightarrow D_{Pyramid} = \dfrac{749.68}{96}\\\Rightarrow D_{Pyramid} = 80.73\ gm/cm^3$

5 0

3 years ago

<img src="https://tex.z-dn.net/?f=%28%5Cfrac%7B4%7D%7B9%7D%20%29%5E%7B2%7D" id="TexFormula1" title="(\frac{4}{9} )^{2}" alt="(\f

ivanzaharov [21]

Answer:

$\frac{16}{81}$

Step-by-step explanation:

Just Square the numbers like a normal equation.

4² = 16

9² = 81

This gives us $\frac{16}{81}$

or 0.198 as a decimal (approx)

6 0

2 years ago

Read 2 more answers

What is the predecessor of 100000

krok68 [10]

Answer:

99,999

Step-by-step explanation:

8 0

1 year ago

Kathy's lunch cost $16 which included tax. Kathy tipped 20% and reached for a $20 bill. Did she have enough money? Please show y

e-lub [12.9K]

Yes she does have enough here's my work

16 times .20 equals 3.2 and the add 3.2 to 16 and get $19.20

7 0

3 years ago

What happens when you input -2 into the equation y = 2x

Zanzabum

Answer:

if y is -2, your answer is x = -1

if x is -2, your answer is y = -4

Step-by-step explanation:

If x is -2,

y = 2 (-2)

y = -4

<em><u>But</u></em>

If y is -2

-2 = 2x

x = -2/2

x = -1

If you are satisfied with my answer please make it the brainliest.

5 0

3 years ago