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3 years ago

What is the value of x?

Mathematics

2 answers:

andreev551 [17]3 years ago

8 0

Formula

The area of any triangle is

A = 1/2 * b * h

Givens

A = 10

b = 4

h = x + 3

Sub and solve

10 = 1/2 * 4 * (x + 3) Take 1/2 of 4

10 = 2 * (x + 3) Divide by 2

10/2 = 2( x + 3) / 2

5 = x + 3 Subtract 3 from both sides.

5 - 3 = x + 3 - 3

2 = x <<<<<<<<<<<<<< answer.

asambeis [7]3 years ago

4 0

A = 1/2 b h where A = 10 b = 4 and h = x + 3

h = 2A/b

h = 2*10 / 4

h = 20/4

h = 5

h = x + 3

5 = x + 3

x = 2

Answer

x = 2

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X/-5=-20 A -100 or 100 B -4 or 4 C 100 D no solution

alexgriva [62]

Move the negative sign to the left

-x/5 = -20

Multiply both sides by 5

-x = -20 × 5

Simplify 20 × 5 to 100

-x = -100

Multiply both sides by -1

x = 100

C. 100

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3 years ago

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A rectangular prism has a length of 4 cm and a width of 5 cm.The volume of the prism is 200 cu cm .The height is unknown.Explain

Kaylis [27]

Answer:

Well just gonna explain kn the bottom but the answer is 10

Step-by-step explanation:

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3 years ago

Amy needs to mail a gift card to a friend. She uses 47-cent stamps and 6-cent stamps to pay $2.42 in postage. How many of each s

AVprozaik [17]

Answer:

Answer:Amy used 4 41-cent stamps and 8 6-cent stamps.

Step-by-step explanation:

Let x represent the number of 41-cent stamps that Amy used. Let y represent the number of 6-cent stamps that Amy used.

41 cents = 41/100 = $0.41

6 cents = 6/100 = $0.06

She uses 41-cent stamps and 6-cent stamps to pay $2.12 in postage. It means that

0.41x + 0.06y = 2.12

Multiplying through by 100, it becomes

41x + 6y = 212

6y = 212 -41x

We would test for corresponding values of x and y that satisfies the equation and they must be whole numbers.

If x = 3,

6y = 212 - 41 × 3 = 89

y = 89/6 = 14.8333

If x = 4,

6y = 212 - 41 × 4 = 48

y = 48/6 = 8

Answer:Amy used 4 41-cent stamps and 8 6-cent stamps.

Step-by-step explanation:

Let x represent the number of 41-cent stamps that Amy used. Let y represent the number of 6-cent stamps that Amy used.

41 cents = 41/100 = $0.41

6 cents = 6/100 = $0.06

She uses 41-cent stamps and 6-cent stamps to pay $2.12 in postage. It means that

0.41x + 0.06y = 2.12

Multiplying through by 100, it becomes

41x + 6y = 212

6y = 212 -41x

We would test for corresponding values of x and y that satisfies the equation and they must be whole numbers.

If x = 3,

6y = 212 - 41 × 3 = 89

y = 89/6 = 14.8333

If x = 4,

6y = 212 - 41 × 4 = 48

y = 48/6 = 8

8 0

2 years ago

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A farmer has 400 feet of fencing she would like to use to make a rectangular enclosure. She would like to maximize the area of t

suter [353]

Answer:

100 feet would make the enclosure the longest

Step-by-step explanation:

The graph shows that at 100 feet the line is at its highest point.

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2 years ago

Determine if the statement is true or false. If a linear system has the same number of equations and variables, then it must hav

lutik1710 [3]

Answer:

False

Step-by-step explanation:

Consider the equations with the same number of equations and variables as shown below,

Case 1

$x_{1} + x_{2} = 0\\x_{1} + x_{2} = 1$

This equation has no solution because it is not possible to have two numbers that give a sum of 0 and 1 simultaneously.

Case 2

$x_{1} + x_{2} = 1\\2x_{1} + 2x_{2} = 2$

This equation has infinitely many possible solutions.

Therefore it is FALSE to say a linear system with the same number of equations and variables, must have a unique solution.

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3 years ago