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3 years ago

What is the value of x in the equation 2.5 (6x - 4) = 10 + 4 (1.5 + 0.5x)

Mathematics

1 answer:

ioda3 years ago

8 0

Answer:

x = 2

Step-by-step explanation:

Given

2.5(6x-4) = 10 + 4 (1.5+0.5x)

First of all we will have to solve the parenthesis

(2.5)(6x)-(2.5)(4) = 10 + (4)(1.5)+(4)(0.5x)

15x-10 = 10+6+2x

We have to isolate x so that we can find its value

15x-10 = 16+2x

15x = 16+2x+10

15x-2x = 26

13x = 26

13x/13 = 26/13

x = 2 ..

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Can someone help me with this thanks

Ugo [173]

The length of the brace required is 4.3m

What is sine rule?

In a ΔABC a, b and c are the sides and A, B and C are angles then,

$\frac{a}{SinA}=\frac{b}{sinB}=\frac{c}{sinC}$

We can find the length, l as shown below:

Let AB=3m, BC=2m and AC=l

Let ∠A=25°

So, in ΔABC

$\frac{BC}{sinA}=\frac{AB}{sinC}=\frac{AC}{SinB}$

$\frac{BC}{sinA}=\frac{AB}{sinC}$

$\frac{2}{sin25}=\frac{3}{sinC}$

$\angle{C}=sin^{-1}(\frac{3\times sin25}{2} )$

∠C=39.34°

∠A+∠B+∠C=180°

∠B=180°-25°-39.34°

∠B=115.66°

$\frac{BC}{sinA}=\frac{AC}{SinB}$

$\frac{2}{sin25}=\frac{l}{sin(115.66)}$

$l=\frac{2\times sin(115.66)}{sin25}$

l=4.2659

Rounding to nearest tenth of meter.

l=4.3m

Hence, the length of the brace required is 4.3m

Learn more about Sine Rule here:

brainly.com/question/25852087

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8 0

2 years ago

Evan, Claire, Jaya and Tim are running a 3 km relay race. Evan ran 7/8 of a km,

Vanyuwa [196]

Answer:

11/24

Step-by-step explanation:

7/8 + 11/12 + 3/4 + x = 3 km

7*3/8*3 = 21 / 24

11*2 / 12 * 2 = 22 /24

3*6 / 4*6 = 18/24

21/24 + 22/24 + 18/24 + x = 3

61 / 24 + x = 3

x = 72/24 - 61/24

x = 11 / 24

Tim has to run 11/24 of the race

7 0

3 years ago

Rewrite the radical exponent as a radical

shepuryov [24]

$\bf a^{\frac{ n}{ m}} \implies \sqrt[ m]{a^ n} 
\qquad \qquad
\sqrt[ m]{a^ n}\implies a^{\frac{ n}{ m}}\\\\
-------------------------------\\\\
\left( 5^{\frac{3}{4}} \right)^{\frac{2}{3}}\implies 5^{\frac{3}{4}\cdot \frac{2}{3}}\implies 5^{\frac{1}{2}}\implies \sqrt[2]{5^1}\implies \sqrt{5}$