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Brums [2.3K]
3 years ago
13

X(x+8) = 256 square yards solve for x im having a lot of trouble please help

Mathematics
1 answer:
Harrizon [31]3 years ago
7 0
We want to solve
x(x + 8) = 256

Expand the left side.
x² + 8x = 256
Collect all terms on the left side.
x² + 8x - 256 = 0

Solve with the quadratic formula.
x = (1/2)*[-8 +/- √(8² -4*1*(-256)) ]
   = -4 +/- (1/2)*√(1088)
   = -4 +/- 16.4924
x = 12.4924, or x = -20.4924

Answer: x = 12.4924 or x = -20.4924

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Identify the amount, base, and percent in the problem: What is 60% of 485?
IrinaK [193]

Hey there! I'm happy to help!

The percent in the problem is 60% (as it has a percent time).

The base is the number we start with, so it is 485.

The amount is the percent of the base. As a decimal, 60% is 0.6. So, we just multiply this by 485.

0.6×485=291

Therefore, the amount is 291.

AMOUNT: 291

BASE: 485

PERCENT: 60%

Have a wonderful day! :D

3 0
3 years ago
Nick was surveying his field and saw some cows and ducks. Nick counted a total of 80 heads and
Natali [406]

Answers:

  • Total equation:  x+y = 80
  • Legs equation:  2x+4y = 248
  • How many ducks? 36
  • How many cows? 44

====================================================

Further explanation:

  • x = number of ducks
  • y = number of cows

x+y = 80 is the total equation (ie the head count equation) since we assume each animal has 1 head, and there are 80 heads total.

That equation can be solved to y = 80-x after subtracting x from both sides.

The legs equation is 2x+4y = 248 because...

  • 2x = number of legs from all the ducks only
  • 4y = number of legs from all the cows only
  • 2x+4y = total number of legs from both types of animals combined

We're told there are 248 legs overall, so that's how we ended up with 2x+4y = 248

------------

Let's plug y = 80-x into the second equation and solve for x.

2x+4y = 248

2x+4( y ) = 248

2x+4( 80-x ) = 248

2x+320-4x = 248

-2x+320 = 248

-2x = 248-320

-2x = -72

x = -72/(-2)

x = 36

There are 36 ducks

Now use this x value to find y

y = 80-x

y = 80-36

y = 44

There are 44 cows.

------------

Check:

36 ducks + 44 cows = 80 animals total

36*2 + 44*4 = 72 + 176 = 248 legs total

The answers are confirmed.

5 0
2 years ago
PLS HURRY Point S is translated 5 units to the left and 12 units up to create point S'. Find the distance between point S and po
svet-max [94.6K]

Given:

Point S is translated 5 units to the left and 12 units up to create point S'.

To find:

The distance between the points S and S'.

Solution:

Point S is translated 5 units to the left and 12 units up to create point S'.

The diagram for the given problem is shown below.

From the below figure it is clear that the distance between the point S and S' is the height of a right triangle whose legs are 5 units and 12 units.

By Pythagoras theorem,

Hypotenuse^2=Perpendicular^2+Base^2

SS'^2=(12)^2+(5)^2

SS'^2=144+25

SS'^2=169

Taking square root on both sides.

SS'=\sqrt{169}

SS'=13

Therefore, the distance between S and S' is 13 units.

8 0
3 years ago
Someone help me please
Ksivusya [100]

Answer:

maybe the answer is 12 units.

8 0
2 years ago
Which is the sixth sequence: an=1/125 (5n-1)
Volgvan
1. Distribute
1/125 x 5n - 1/125
2. Simplify 1/125 x 5n to n/25
n/25 - 1/125
5 0
3 years ago
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