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3 years ago

What is the value of x in the equation 5(3x + 4) = 23?

Mathematics

2 answers:

Rainbow [258]3 years ago

5 0

Answer:

$x = 0.2$

Step-by-step explanation:

<u>Step 1: Distribute</u>

$5(3x + 4) = 23$

$(5 * 3x) + (5 * 4) = 23$

$(15x) + 20 = 23$

<u>Step 2: Subtract 20 from both sides</u>

$(15x) + 20 - 20 = 23 - 20$

$15x = 3$

<u>Step 3: Divide both sides by 15</u>

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

$x = \frac{1}{5}$

$x = 0.2$

Answer: $x = 0.2$

Dvinal [7]3 years ago

3 0

Answer:

x = 1/5

Step-by-step explanation:

5(3x + 4) = 23

Distribute

15x+20 = 23

Subtract 20 from each side

15x+20-20 = 23-20

15x = 3

Divide by 15

15x/15 = 3/15

x = 1/5

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4 years ago

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dimulka [17.4K]

Answer:

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Step-by-step explanation:

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△ABC is a right triangle with right angle C. Side AC¯¯¯¯¯¯¯¯ is 6 units longer than side BC¯¯¯¯¯¯¯¯. If the hypotenuse has lengt

Vladimir [108]

Given:

In △ABC is a right angle triangle.

AC is 6 units longer than side BC.

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To find:

The length of AC.

Solution:

Let the length of BC be x.

So, Length of AC = x+6

According to the Pythagoras theorem, in a right angle triangle

$Hypotenuse^2=Base^2+Perpendicualar^2$

△ABC is a right angle triangle and AC is hypotenuse, so

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$68=x^2+x^2+12x+36$ $[\because (a+b)^2=a^2+2ab+b^2]$

Subtract 68 from both sides.

$0=2x^2+12x+36-68$

$0=2x^2+12x-32$

$0=2(x^2+6x-16)$

Divide both sides by 2.

$x^2+6x-16=0$

Splitting the middle term, we get

$x^2+8x-2x-16=0$

$x(x+8)-2(x+8)=0$

$(x+8)(x-2)=0$

$x=-8,2$

Side cannot be negative, so x=2 only.

Now,

$AC=x+6$

$AC=2+6$

$AC=8$

Therefore, the length of AC is 8 units.

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3 years ago

A family of right triangles has side lengths in the approximate ratio 3:4:5. One right angle

velikii [3]

Answer:

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Step-by-step explanation:

Given the approximate ratio of the sides of a rectangle as 3:4:5.

Total ratio = 3+4+5 = 12

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get the base;

base = 3/12 * 220

Base = 55cm

Get the height

Height = 4/12 * 220

Height = 880/12

Height = 73.3cm

Area = 1/2 * 55 * 73.3

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4 years ago

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WARRIOR [948]

The length of the video is
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= 5:25 -3:00
= 2:25

If the second showing starts on time, it will be over at
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The second showing is not over by 7:45 even when it starts on time. It will NOT be over by 7:45 when it starts late.

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