Solve for x: 2x + 12 = 64

Answers

Answer 1
Answer:

Answer:

X=13

Step-by-step explanation:

Answer 2
Answer: subtract 12 from 64,
2x=52
divide by 2,
x=26
answer: 26

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The perimeter ofthe rectangular playground shown
below is 160 feet. What is the area of the
playground?

Answers

2,500 feet is the answer to your question. hope this helped

Known :

Perimeter = 160 ft

length = 50 ft

Asked :

Area = ...?

Answer :

Find the width first :

Perimeter = 2 (length + width)

160 = 2 (50 + width)

width = (160 ÷ 2) - 50

width = 80 - 50

width = 30ft

Now, let's find the Area :

Area = length × width

= 50 × 30

= 1.500ft²

So, the area of the playground is 1.500ft²

Hope it helpful and useful :)

Zoey made 5 and 1/2 cups of trail mix for a camping trip. She wants to divide the trial mix into 3/4 cup servings. Ten people are going on the camping trip. Can Zoey make enough 3/4 cup servings so each person on the trip has one serving?

Answers

No she can't.  We could divide 5 1/2 cups by 3/4 cups but there is an easier way.

Let's change 3/4 to .75 and multiply by 10 since we need 10 servings.

.75 x 10 = 7.5  so she would need 7.5 cups or 7 1/2 cups
Since she only has 5  1/2 cups,  she does not have enough.

Classify the system and identify the number of solutions.2x + y + 5z = 4
3x − 2y + 2z = 2
5x − 8y − 4z = 1

Answers

Answer:

No solutions

Step-by-step explanation:

We need to eliminate one of the variables to solve the system. To do so, let's multiply the first equation by 8, the second equation by 4

  • 2x + y + 5z = 4         (1) x 8
  • 3x − 2y + 2z = 2       (2) x 4
  • 5x − 8y − 4z = 1       (3)

The system becomes:

  • 16x + 8y + 40z = 32  (1)
  • 12x - 8y + 8z = 8       (2)
  • 5x - 8y - 4z = 1          (3)

Add (1) and (2), subtract (3) from (2) to eliminate y

  • 28x + 48z = 40        (4)
  • 7x + 12z = 7              (5)

Then multiply the equation (5) by 4 to compare with(4)

  • 28x + 48z = 28

Comparing the equations (4) and (5) we see it has no solutions as both variables have same coefficient but with different sum, 28≠40

Answer:

inconsistent; none

Solve for c in a+b+c=180

Answers

Answer:

c = -a - b + 180

Step-by-step explanation:

Isolate the c. Note the equal sign, what you do to one side, you do to the  other. Subtract a and b from both sides

a (-a) + b (-b) + c = 180 (-a) (-b)

c = 180 - a - b

c = -a - b + 180 is your answer

~

Exterior of scalene triangle sides are 25 and 15 and x. solve x.

Answers


-- All three sides of a scalene triangle have different lengths.
So 'x' can't be 15 and it can't be 25.

-- 'x' must be 10 or more in order to reach between the ends
of the 25 and the 15.

-- 'x' must be less than 40 in order for the 25 and the 15 to reach
between its ends. 

So the value of 'x' must satisfy these conditions:

0 < x < 15
15 < x < 25
25 < x < 40

Any number that satisfies these conditions is an acceptable value for 'x'.


Let's say we have a triangle with three side lengths.
This triangle is really flat. So much so that you could put it on a number line.
It literally cannot get any flatter, and the largest side literally cannot get any bigger.
Well, the smaller two sides would add up to equal the third.

From this we have realized something: The largest side of any triangle cannot be larger than the sum of the other two.

Let's think back to our problem.
What are the possibilities for x?

If x was the biggest side, it couldn't be any bigger than 40.

If x was a smaller side, then that would make 25 the bigger side.
15 and x together can't be any bigger than 25, so x has to be less than 10.

Since it's a scalene triangle, x cannot be 15 or 25 either, so add that too.

\{x|10\ \textless \ x\ \textless \ 40,\ x\neq15, x\neq25\}

A carpenter has a board 2 meters long. She needs to cut it into 8 equal pieces. How many centimeters long will each piece be? 4 16 25 1600

Answers

Answer:

its 25

Step-by-step explanation:

2 meters / 8 = 0.25 meters each piece

0.25 meters * 100 centimeters / meter

= 25 centimeters each piece