All categories

2 years ago

What is the solution to this equation ?

Mathematics

1 answer:

iren2701 [21]2 years ago

6 0

Answer:

x = -20/9

Step-by-step explanation:

First we need to distribute this equation 4(4x+1) = 3x-4(6-x)+8. After distributing we get 16x+4 = 3x-24+4x+8. Next we add like terms to get 16x+4 = 7x-16. Now subtract 7x on both sides to get 9x+4 = -16. Now subtract -4 on both sides to get 9x = -20. Now divide by 9 on both sides to get x= -20/9.

Hope that helps! :)

You might be interested in

Ella has 0.5 lbs of sugar. How much water should she add to make the following concentrations? Tell Ella how much syrup she will

olya-2409 [2.1K]

Answer:

1. 20% - add 2 lbs of water to get 2.5 lbs of syrup

2. 25% - add 1.5 lbs of water to get 2 lbs of syrup

3. 1.5% - add 32.833 lbs of water to get 33.333 lbs of syrup

Step-by-step explanation:

Ella has 0.5 lbs of sugar. Let x lbs be the amount of water Ella should add to get the syrup.

1. 20% syrup:

0.5 lbs - 20%

x+0.5 lbs - 100%

Write a proportion:

$\dfrac{0.5}{x+0.5}=\dfrac{20}{100}\\ \\0.5\cdot 100=(x+0.5)\cdot 20\\ \\50=20x+10\\ \\20x=50-10\\ \\20x=40\\ \\x=2\ lbs$

To get 20% syrup Ella should add 2 lbs of water. The total weight of strup is 2.5 lbs.

2. 25% syrup:

0.5 lbs - 25%

x+0.5 lbs - 100%

Write a proportion:

$\dfrac{0.5}{x+0.5}=\dfrac{25}{100}\\ \\0.5\cdot 100=(x+0.5)\cdot 25\\ \\50=25x+12.5\\ \\25x=50-12.5\\ \\25x=37.5\\ \\x=1.5\ lbs$

To get 25% syrup Ella should add 1.5 lbs of water. The total weight of strup is 2 lbs.

3. 1.5% syrup:

0.5 lbs - 1.5%

x+0.5 lbs - 100%

Write a proportion:

$\dfrac{0.5}{x+0.5}=\dfrac{1.5}{100}\\ \\0.5\cdot 100=(x+0.5)\cdot 1.5\\ \\50=1.5x+0.75\\ \\1.5x=50-0.75\\ \\1.5x=49.25\\ \\x=\dfrac{49.25}{1.5}\approx 32.833\ lbs$

To get 1.5% syrup Ella should add 32.833 lbs of water. The total weight of strup is 33.333 lbs.

7 0

3 years ago

If Carl hangs a picture using 3/8 yard of a wire that is 1 1/8 yards long how much wire will Carl have left

nasty-shy [4]

Answer:

1 yard of wire or 8/8 yard of wire

Step-by-step explanation:

To figure out how much wire he has left you need to take 3 from 11 which equals 8. You do not change the 8 that is behind the 3 or 11. This means you have 8/8 or 1 yard of wire.

8 0

3 years ago

'If there is a ton of corn in a tank, and 500 pounds of corn are removed, what is the

Roman55 [17]

Answer:

1,500 pounds :>

Step-by-step explanation:

There are 2,000 pounds in 1 ton, take away 500 from 2,000 you get 1,500

4 0

3 years ago

I need to find the missing lengths

kondor19780726 [428]