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velikii [3]
3 years ago
15

2. Bryan and Lori were each given the same pair of numbers. Bryan's description of the two numbers was: The larger number is 3 m

ore than three times the smaller number, s. Lori's description of the two numbers was: Five times the smaller number decreased by 7 is the larger number. Which equation represents this situation?
Mathematics
1 answer:
sleet_krkn [62]3 years ago
6 0

Answer:

5 and 18

Step-by-step explanation:

The two numbers according to Bryan are x and 3x+3. According to Lori they are x and 5x-7. So we know that x+3x+3=x+5x-7. x and x cancel out. 3 and 7 add to 10. 5x-3x=2x. So 2x=10. X=5 and the other number is 18.

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A contractor is to build a brick wall 6 feet high to enclose a rectangular garden. Only three sides of the garden need to be enc
son4ous [18]

Answer:

Step-by-step explanation:

From the given information:

Since three sides of the garden need to be enclosed because the fourth side is a building.

The area is xy and the perimeter will be x + 2y

Calculating the perimeter in terms of x; we have:

P = x+2y = 232   ----- (21)

y = (232 - x) / 2

y = 116 - (x/2)

Now; to calculate the area since the value of y in terms of x is known.

A = xy

A = x[116 - (x/2)]

A=116x - (x^2/2)  ----- (2)

Taking the derivative of eqaution (2); we have:

A' = 116 - x

Relating it as it is equal to zero, thereby solving for x ; we have:

116 - x = 0

x = 116

From equation (1)

P = 116 +2y = 232

2y = 232 -116

2y = 116

y = 116/2

y = 58

Thus; the area A = xy can be calculated as:

A=xy

A=116(58)

A= 6728

3 0
3 years ago
Which statement describes the relationship between x and y in these two equations? y = 2x and y = x + 2
love history [14]

Answer:

D

Step-by-step explanation:

In y = 2x the value of y is twice the value of x, and in y = x + 2 the value of y is 2 more than the value of x.

6 0
3 years ago
Use the Distributive Property to solve the equation
AleksAgata [21]
Answer: x=5
5x-3 (x-3)= -6 +6x -5
5x -3x +9 =-6 +6 x -5
6 0
3 years ago
Read 2 more answers
What is the distance between the points (2, -3) and (-6, 4) on the coordinate
VikaD [51]

Answer:

C) 10.63 units.

Step-by-step explanation:

To find the distance between any two points, we can use the distance formula:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

We have the two points (2, -3) and (-6, 4). Let (2, -3) be (<em>x₁, y₁</em>) and let (-6, 4) be (<em>x₂, y₂</em>). Substitute:

d=\sqrt{(-6-2)^2+(4-(-3))^2}

Simplify:

d=\sqrt{(-8)^2+(7)^2}

Evaluate:

d=\sqrt{64+49}=\sqrt{113}\approx10.63\text{ units}

Our answer is C.

7 0
3 years ago
What is the area of the triangle? 9 in 9.9 in 8.4 in <br>​
Gelneren [198K]

Answer:

UwU

Step-by-step explanation:

ナタやハワは佐谷田さあ梁やなあさやはやさた

6 0
3 years ago
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