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Sindrei [870]
3 years ago
9

Solve the following system of equations graphically on the set of axes below. y=x+8 y=−2x−1

Mathematics
1 answer:
love history [14]3 years ago
6 0
This makes sense because every point on the gold line is a solution to the equation
y
=
1
2
x
+
3
y=
2
1
​
x+3start color #e07d10, y, equals, start fraction, 1, divided by, 2, end fraction, x, plus, 3, end color #e07d10, and every point on the green line is a solution to
y
=
x
+
1
y=x+1start color #0d923f, y, equals, x, plus, 1, end color. So, the only point that's a solution to both equations is the point of intersection

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A bookstore decides to divide its space into three sections: nonfiction books, novels, and stationery. The bookstore wants to de
Colt1911 [192]

Answer:

Stationery section will be 4 feet wide.

Step-by-step explanation:

Total area of bookstore = 288 sq ft

Area to be devoted to stationery = \frac{1}6 of total area = \frac{1}{6} \times 288 = 48\ sq\ ft

Length of stationery section = 12 ft

To find:

Width of stationery section = ?

Solution:

First of all, let us have a look at the area of rectangle:

A = Length \times Width

Here, we are given the length for stationery section and area of stationery section has been calculated above.

And we have to find the Width of stationery section.

So, let us put the two values to find the third value.

\Rightarrow 48 = 12 \times Width\\\Rightarrow Width = \dfrac{48}{12}\\\Rightarrow \bold{Width = 4\ ft}

So, the answer is:

Stationery section will be 4 feet wide.

3 0
3 years ago
Garden a and garden b are two rectangular gardens that are each surrounded by 120 feet of fencing. garden a has one side length
olya-2409 [2.1K]

The garden with the largest area is garden b with an area of 6000 feet squares

<h3>What is the area of a rectangle?</h3>

The area of a rectangle is simply known as the number of unit squares that can fit into the rectangle.

The formula for calculating the area of a rectangle is written thus;

Area of a Rectangle = (Length × Breadth)

<h3>How to determine the area</h3>

Using the formula:

Area of a Rectangle = (Length × Breadth)

For garden a;

Length = 25 feet

Breadth = 120 feet

Substitute the values into the formula

Area of garden a = 25 × 120 = 3000 feet squares

For garden b;

Length = 50 feet

Breadth = 120 feet

Substitute the values into the formula

Area of garden b = 50 × 120 = 6000 feet squares

Therefore, the garden with the largest area is garden b with an area of 6000 feet squares.

Learn more about area of a rectangle here:

brainly.com/question/14137384

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4 0
2 years ago
What is 7•8+1•40. Explain your answer
zaharov [31]

Answer:

96

Step-by-step explanation:

We will use the order of operations to solve the equation

7×8+1×40

multiplication before addition, so we do this first:

7×8=56

We change the equation to this:

56+1×40

Then we multiply:

1×40=40

We change the equation to this:

56+40

Then we add to solve:

56+40=96

3 0
3 years ago
36 is what percent less than 48?
REY [17]
36/48   divide both by 12... = 3/4= 75%
we want to know what percent less it is, so we need to subtract that answer from 100% to get the right answer 
100-75 =25
25%
7 0
3 years ago
Evan has 5 tennis balls, 2 footballs and 2 packages of golf balls with 4 balls in each. What is the ratio of tennis balls to his
Sedbober [7]

Answer:

5/13 or 38.41%

Step-by-step explanation:

7 0
3 years ago
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