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anastassius [24]
3 years ago
11

Simplify 4(6 - 2x) - 3(3 - 4x)

Mathematics
1 answer:
adell [148]3 years ago
8 0
4(6-2x)-3(3-4x)
24-8x-9+12x
15+4x
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Solve by substitution x-y=-11 y+7=-2x
Bess [88]

x - y = - 11   .............( 1 )

y + 7 = - 2x ...............( 2 )

from equation ( 1 )

x - y = - 11

x   = -11 + y  ...........( 3)      

putting x in equation  ( 2 )

y + 7 = - 2 x  

y  + 7 = -2 ( -11 + y )             y + 7 = 22 - 2 y                       y + 2 y =22 - 7            

3 y = 15                  y = 15 / 3

putting value of y in equation 3

x   = -11+ ( 13 /5 )                       x = -33 /3 + 15 / 3         ( l.c.m)

x  = -17 / 5                      

check      

x = -11 + y

- 17 / 5 = -11 + 13 / 5

-17 /5   = -17 / 5

4 0
3 years ago
Help with 21 would be much appreciated.
umka2103 [35]

Answer:

\large\boxed{x=2\sqrt{21}\ and\ y=4\sqrt3}

Step-by-step explanation:

Look at the picture.

ΔADC and ΔCDB are similar. Therefore the sides are in proportion:

\dfrac{AD}{CD}=\dfrac{CD}{DB}

We have

AD=14-8=6\\CD=y\\DB=8

Substitute:

\dfrac{6}{y}=\dfrac{y}{8}         <em>cross multiply</em>

y^2=(6)(8)

y^2=48\to y=\sqrt{48}\\\\y=\sqrt{16\cdot3}\\\\y=\sqrt{16}\ cdot\sqrt3\\\\\boxed{y=4\sqrt3}

For x use the Pythagorean theorem:

x^2=6^2+(4\sqrt3)^2\\\\x^2=36+48\\\\x^2=84\to x=\sqrt{84}\\\\x=\sqrt{4\cdot21}\\\\x=\sqrt4\cdot\sqrt{21}\\\\\boxed{x=2\sqrt{21}}

3 0
3 years ago
Please help mee to figure out who is right
lina2011 [118]
Let me see if I am correct I will get back to u
7 0
3 years ago
Number 5 and 6 please? ​
GuDViN [60]

Answer:

5. Profit of Rs 1 per lemon

6. Rs 20

Step-by-step explanation:

5. Buy Rs 60 per 12 lemons = Rs 5 per lemon

Sell Rs 30 per 5 lemons = Rs 6 per lemon

Profit Rs 1 per lemon

6. Sell Rs 2500 per 100 pens = Rs 25 per pen

Profit per pen is 20% = (20/100)25 = 5

Cost price of a pen = 25 - 5 = 20

6 0
3 years ago
I wil give brainleiat
AlladinOne [14]

Answer:

a) 300 + 80h = x

b) $780

Step-by-step explanation:

So, the original cost is $300, plus an additional $80 times the number of hours rented.

h will represent the number of hours rented

x will represent our total cost (use whatever variable your teacher expects :))

300 + 80h = x

This is our equation. Now, we want to find the cost for 6 hours. Substitute 6 in for h.

300 + 80(6) = x        Solve for x.

 300 + 480 = x

            780 = x        This means the total cost for 6 hours will be $780.

Hope this helps :)

NOTE: I noticed in part a, it referred to a "dunking booth". I solved this problem as if that was a typo and they were referring to the jumper.

3 0
2 years ago
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