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marissa [1.9K]
2 years ago
12

What is value of x Enter your answer in the box.

Mathematics
1 answer:
borishaifa [10]2 years ago
4 0

Answer:

x=10

Step-by-step explanation:

Lets use a ratio.

3:2 (12 to 8)

We need to scale the x+4 up 3/2 to be equal to 2x+1

(3/2) x+4 = 2x+1

1.5x+6=2x+1

-1.5x    -1.5x

6=0.5x+1

-1          -1

0.5x=5

x=10

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The market price of a house is directly proportional to the total area of the house in square feet. If the price of a 1,500 squa
IrinaK [193]

Answer:

The price of a 2,000 square foot home is \$400,000

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form y/x=k or y=kx

Let

x -----> the total area of the house in square feet

y -----> the price of the house

we have

The point (1,500,300,000)

Find the constant of proportionality k

k=y/x

substitute

k=300,000/1,500=200

The direct equation is equal to

y=200x

so

For x=2,000\ ft^{2}

Find the value of y

substitute the value of x in the equation

y=200(2,000)

y=\$400,000

5 0
3 years ago
Trent lift weights 7 days a week. He spends 18 minutes lifting weights on Monday, 29 minutes on Tuesday, 40 minutes on Wednesday
Ostrovityanka [42]

He lifts for 11 more minuets each day.

51 + 11 = 62

He lifted for 62 minuets on Friday.

62 + 11 = 73

He lifted for 73 minuets on Saturday.

6 0
3 years ago
The cost of 4 cartons of fresh cream is $5.76. What is the cost of 13 such cartons? $16.25 $18.72 $18.76 $36.04
Natasha_Volkova [10]

Answer:

A

Step-by-step explanation:

8 0
3 years ago
The perimeter of the triangle
Illusion [34]
Area=228 feet sqa.
Length=12 ft.
Breadth=(228/12) ft.
=19 ft.
Perimeter=2(12+19) ft.
=2×31 ft.
=62 ft.

HOPE IT HELPS UH!!☺️☺️
8 0
3 years ago
Pentagon ABCDE and pentagon A″B″C″D″E″ are shown on the coordinate plane below:
erastova [34]

The transformations that are applied to pentagon ABCDE to create A"B"C"D"E" are:

1) Translation (x, y) → (x + 8, y + 2)

2) Reflection across the x-axis (x, y) → (x, -y)

So, the overall transformation given in the graph is (x, y) → {(x + 8), -(y + 2)}.

<h3>What are the transformation rules?</h3>

The transformation rules are:

  • Reflection across x-axis: (x, y) → (x, -y)
  • Reflection across y-axis: (x, y) → (-x, y)
  • Translation: (x, y) → (x + a, y + b)
  • Dilation: (x, y) → (kx, ky)

<h3>Calculation:</h3>

The pentagons in the graph have vertices as

For the pentagon ABCDE: A(-4, 5), B(-6, 4), C(-5, 1), D(-2, 2), and (-2, 4)

For the pentagon A"B"C"D"E": A"(4, -7), B"(2, -6), C"(3, -3), D"(6, -4), and E"(6, -6)

Consider the vertices A(-4, 5) from the pentagon ABCDE and A"(4, -7) from the pentagon A"B"C"D"E".

Applying the Translation rule for the pentagon ABCDE:

The rule is (x, y) → (x + a, y + b)

So, the variation is

-4 + a = 4

⇒ a = 4 + 4 = 8

5 + b = 7

⇒ b = 7 - 5 = 2

So, the pentagon ABCDE is translated by (x + 8, y + 2).

Applying the Reflection rule for the translated pentagon:

The translated pentagon has vertices (x + 8, y + 2).

When applying the reflection across the x-axis,

(x + 8, y + 2) → {(x + 8), -(y + 2)}

Therefore, the complete transformation of the pentagon ABCDE to the pentagon A"B"C"D"E" is (x, y) → {(x + 8), -(y + 2)}

Verification:

A(-4, 5) → ((-4 + 8), -(5 + 2)) = (4, -7)A"

B(-6, 4) → ((-6 + 8), -(4 + 2)) = (2, -6)B"

C(-5, 1) → ((-5 + 8), -(1 + 2)) = (3, -3)C"

D(-2, 2) → ((-2 + 8), -(2 + 2)) = (6, -4)D"

E(-2, 4) → ((-2 + 8), -(4 + 2)) = (6, -6)E"

Learn more about transformation rules here:

brainly.com/question/4289712

#SPJ1

5 0
1 year ago
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