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SVEN [57.7K]
3 years ago
13

Ian runs a farm stand that sells blueberries and apples. Each pound of blueberries sells for $1.75 and each pound of apples sell

s for $2. Ian made $89.50 from selling a total of 46 pounds of blueberries and apples. Write a system of equations that could be used to determine the number of pounds of blueberries sold and the number of pounds of apples sold. Define the variables that you use to write the system.
Mathematics
1 answer:
Snowcat [4.5K]3 years ago
5 0

x+y=46 and 1.75x+2y=89.50 can be used to determine the number of pounds of blueberries sold and the number of pounds of apples sold, where x represents the pounds of blueberries sold and y represents the pounds of apples sold.

Step-by-step explanation:

Cost of one pound of blueberries = $1.75

Cost of one pound of apples = $2

Total worth = $89.50

Total sold = 46 pounds.

Let,

x be the pounds of blueberries sold.

y be the pounds of apples sold

According to given statement;

x+y=46     Eqn 1

1.75x+2y=89.50   Eqn 2

x+y=46 and 1.75x+2y=89.50 can be used to determine the number of pounds of blueberries sold and the number of pounds of apples sold, where x represents the pounds of blueberries sold and y represents the pounds of apples sold.

Keywords: linear equation, variables

Learn more about variables at:

  • brainly.com/question/11150876
  • brainly.com/question/11175936

#LearnwithBrainly

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Doug hits a baseball straight towards a 15 ft high fence that is 400 ft from home plate. The ball is hit 2.5ft above the ground
Scorpion4ik [409]

Answer:

125.4\ \text{m/s}

Step-by-step explanation:

u = Initial velocity of baseball

\theta = Angle of hit = 30^{\circ}

x = Displacement in x direction = 400 ft

y = Displacement in y direction = 15 ft

y_0 = Height of hit = 2.5 ft

a_y = g = Acceleration due to gravity = 32.2\ \text{ft/s}^2

t = Time taken

Displacement in x direction

x=u_xt\\\Rightarrow x=u\cos\theta t\\\Rightarrow t=\dfrac{x}{u\cos\theta}\\\Rightarrow t=\dfrac{400}{u\cos30^{\circ}}\\\Rightarrow t=\dfrac{400}{u\dfrac{\sqrt{3}}{2}}\\\Rightarrow t=\dfrac{800}{u\sqrt{3}}

Displacement in y direction

y=y_0+u_yt+\dfrac{1}{2}a_yt^2\\\Rightarrow y=y_0+u\sin\theta t+\dfrac{1}{2}a_yt^2\\\Rightarrow 15=2.5+u\sin30^{\circ}(\dfrac{800}{u\sqrt{3}})+\dfrac{1}{2}\times -32.2\times (\dfrac{800}{u\sqrt{3}})^2\\\Rightarrow \dfrac{400}{\sqrt{3}}-\dfrac{10304000}{3u^2}-12.5=0\\\Rightarrow 218.44=\dfrac{10304000}{3u^2}\\\Rightarrow u=\sqrt{\dfrac{10304000}{3\times218.44}}\\\Rightarrow u=125.4\ \text{m/s}

The minimum initial velocity needed for the ball to clear the fence is 125.4\ \text{m/s}

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Answer:

Og(x) is shifted 4 units left and 6 units down from f(x).

Step-by-step explanation:

To understand how the parent function is transformed, you have to look at a few things.

Firstly, is there a negative sign in front? If there is, then the function is flipped around the y-axis

Second, on the part where the x is included (in this case it is x+4) you have to see if there is a negative sign in front of this. If this is the case, then the formula is flipped around the x-axis

<em>Third, If the part with the x is being added to, then the graph is being translated to the left that many units. If it is being subtracted from, then it is being translated to the right that many units (in this case it is </em><u><em>x+4</em></u><em>, so we move to the left 4 units) ((it is the opposite of what would be common sense, I know))</em>

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There are other factors, such as leading coefficients (on just the x part or the whole thing) and other stuff I'm sure I don't remember )

For more information: https://mathhints.com/parent-graphs-and-transformations/

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