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3 years ago

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At King’s Super Market, Clay bought 214 pounds of tomatoes for $13.50. Gabriella bought 112 pounds of tomatoes for $6.75 at the

local farmer’s market. Who got the better deal?
At King’s Super Market, Clay bought 214 pounds of tomatoes for $13.50. Gabriella bought 112 pounds of tomatoes for $6.75 at the local farmer’s market. Who got the better deal?

1 answer:

dusya [7]3 years ago

4 0

Answer:

The answer for the pounds is 326 and the the better deal is 20.25

Step-by-step explanation:

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PROBLEM: Riley has a rectangular shaped patio that is 13 feet long by 15 feet wide. He wants to DOUBLE THE AREA of the patio by

photoshop1234 [79]

Answer:

1) The equation that represents the total area of Riley's proposed ratio is $A' = (\sqrt{2}\cdot x)\cdot (\sqrt{2}\cdot y)$ .

2) The length and width of the new patio are approximately 18.4 feet and 21.2 feet, respectively.

Step-by-step explanation:

1) From Geometry we remember that area formula for the rectangle is represented by:

$A = x\cdot y$ (1)

Where:

$A$ - Area, measured in square feet.

$x$ - Length, measured in feet.

$y$ - Width, measured in feet.

From statement we know that Riley wants to double the area, that is:

$A' = 2\cdot A$ (2)

By applying (1) in (2), we get the following expression:

$A' = 2\cdot x\cdot y$ (3)

Given that Riley wants to double the area of the pation by increasing the length and width by the same amount, we can rearrange (3) by algebraic means:

$A' = \sqrt{2}\cdot \sqrt{2}\cdot x\cdot y$

$A' = (\sqrt{2}\cdot x)\cdot (\sqrt{2}\cdot y)$ (3b)

The equation that represents the total area of Riley's proposed ratio is $A' = (\sqrt{2}\cdot x)\cdot (\sqrt{2}\cdot y)$ .

2) If we know that $x = 13\,ft$ and $y = 15\,ft$ , then the length and the width of the new patio are, respectively:

$x' = \sqrt{2}\cdot x$

$x' = \sqrt{2}\cdot (13\,ft)$

$x' \approx 18.4\,ft$

$y' = \sqrt{2}\cdot y$

$y' = \sqrt{2}\cdot (15\,ft)$

$y' \approx 21.2\,ft$

The length and width of the new patio are approximately 18.4 feet and 21.2 feet, respectively.

8 0

2 years ago

Use the substitution method to solve each linear system. 4x - 3y = -13,-2x + y = 4

Contact [7]

Answer:

The solutions to the system of equations are:

$x=\frac{1}{2},\:y=5$

Step-by-step explanation:

Given the system of the equations

$\begin{bmatrix}4x-3y=-13\\ -2x+y=4\end{bmatrix}$

Isolate x for for 4x-3y=-13

$4x-3y=-13$

$4x=-13+3y$

Divide both sides by 4

$x=\frac{-13+3y}{4}$

substitute y=5

$x=\frac{-13+3\cdot \:5}{4}$

$x=\frac{1}{2}$

The solutions to the system of equations are:

$x=\frac{1}{2},\:y=5$

8 0

2 years ago

Jaden made a pot of chili with 64 ounces of ground beef and 2 tablespoons of chili powder. How many pounds of ground beef per ta

seropon [69]

32 tablespoons of ground beef

5 0

2 years ago

Read 2 more answers

if the net from the two triangles are the right triangles all quadrilaterals what is its surface area in square units?

erica [24]

Step-by-step explanation:

The total surface area is 168 square units.

8 0

3 years ago

What’s the answer to the 4th question?

babunello [35]

Answer:

1440 Buckets of Water

Step-by-step explanation:

1 Bucket = 2.5 Gallons of Water

1 Cubic Foot = 7.5 Gallons of Water

1 Cubic Foot = 3 Buckets

480 x 3 = 1440

5 0

2 years ago