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3 years ago

Solve 3(2x - 5) = 9(10 - x)

Mathematics

2 answers:

alisha [4.7K]3 years ago

4 0

Answer:

x=7

Step-by-step explanation:

3(2x - 5) = 9(10 - x)

6x-15=90-9x

6x+9x=90+15

15x=105

x=7

Helen [10]3 years ago

3 0

Answer:

$x = 7$

Step-by-step explanation:

First, we need to expand the brackets:

$3(2x-5)=9(10-x)$ (equation given)

$6x-15=90-9x$

$15x -15 = 90$ (add $9x$ on both sides)

$15x = 105$ (add $15$ on both sides)

$x = 7$ (divide by $15$ on both sides)

Hope this helps :)

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2 years ago

A construction crew must build 4 miles of road in one week. On Monday, they build 12 mile of road. On Tuesday, they build 13 mil

Julli [10]

$\frac{19}{6}$ many more miles of road are left to build .

Step-by-step explanation:

Here we have , A construction crew must build 4 miles of road in one week. On Monday, they build 1/2 mile of road. On Tuesday, they build 1/3 mile of road. We need to find that How many more miles of road are left to build . Let's find out:

On Monday, they build 1/2 mile of road.
On Tuesday, they build 1/3 mile of road.

Let Miles of road left to build is x So,

⇒ $\frac{1}{2} +\frac{1}{3} +x = 4$

⇒ $x = 4 - (\frac{1}{2} +\frac{1}{3})$

⇒ $x = 4 - (\frac{1(3)+1(2)}{6} )$

⇒ $x = 4 - (\frac{5}{6} )$

⇒ $x = (\frac{4(6)-5}{6} )$

⇒ $x = \frac{24-5}{6}$

⇒ $x = \frac{19}{6}$

Therefore, $\frac{19}{6}$ many more miles of road are left to build .

5 0

3 years ago

Read 2 more answers

Subtract \frac{3n+2}{n-4}-\frac{n-6}{n+4}

aalyn [17]

(3n+2)/(n-4) - (n-6)/(n+4)

common denominator (n-4)(n+4)

{(n+4)(3n+2)-(n-4)(n-6)}/{(n-4)(n+4)}

Use the foil method:

{(3n²+14n+8)-(n²-10n+24)}/{(n-4)(n+4)}

distribute negative sign:

{(3n²+14n+8-n²+10n-24)}/{(n-4)(n+4)}

subtract:

(2n²+24n-16)/{(n-4)(n+4)}

take out 2:

2{n²+12n-8}/{(n-4)(n+4)}

4 0

3 years ago

Read 2 more answers

What is an equation of the line that passes through the points (0,2) and (5,8)

motikmotik

Answer: y= $\frac{6}{5}$ +2