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lesya [120]
3 years ago
12

On Friday, a fruit stand sold a total of 92 apples and oranges. On Saturday, the fruit stand sold four times the number of apple

s and two times the number of oranges. A total of 284 apples and oranges were sold on Saturday. Which system of equations yields the number of apples, a, and oranges, o, sold on Friday? A) a + o = 92 4a + 2o = 284 B) a + o = 284 4a + 2o = 92 C) a + o = 92 2a + 4o = 284 D) a + o = 284 2a + 4o = 92
Mathematics
1 answer:
andreev551 [17]3 years ago
5 0

Option A : a+o = 92 , 4a+2o = 284 is the right answer

Step-by-step explanation:

Let o be the number of oranges sold on Friday and

a be the number of apples sold on Friday

So,

A total of 92 was sold on Friday will yield the equation

a+o = 92

On Saturday,

4 times the number of apples = 4a

2 times the number of oranges = 2o

So,

4a+2o = 284

Hence,

The system of equations is:

a+o = 92\\4a+2o = 284

Option A : a+o = 92 , 4a+2o = 284 is the right answer

Keywords: Linear equations, variables

Learn more about linear equations at:

  • brainly.com/question/669100
  • brainly.com/question/663692

#LearnwithBrainly

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A project on Kickstarter.com was aiming to raise $15000 for a precision coffee press. They ended up with 714 supporters, raising
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For this, we can set up a proportion.
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Proportion:

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The line passes through (9,8) and is perpendicular to x-2y=-16
pickupchik [31]

The equation of line perpendicular to x-2y=-16 passing through (9,8) is: y=-2x+26

Step-by-step explanation:

Given

x-2y=-16\\Adding\ 2y\ on\ both\ sides\\x=2y-16\\Adding\ 16\ on\ both\ sides\\x+16=2y-16+16\\x+16=2y\\2y=x+16\\Dividing\ both\ sides\ by\ 2\\\frac{2y}{2}=\frac{x+16}{2}\\y=\frac{x}{2}+\frac{16}{2}\\y=\frac{1}{2}x+8\\

The equation is in slope-intercept form,  the coefficient of x will be the slope of given line. The slope is: 1/2

As the product of slopes of two perpendicular lines is -1.

\frac{1}{2}*m=-1\\m=-1*\frac{2}{1}\\m=-2

Slope intercept form is:

y=mx+b

Putting the value of slope

y=-2x+b

To find the value of b, putting (9,8) in the equation

8=-2(9)+b\\8=-18+b\\b=8+18\\b=26

Putting the values of b and m

y=-2x+26

Hence,

The equation of line perpendicular to x-2y=-16 passing through (9,8) is: y=-2x+26

Keywords: Equation of line, Slope-intercept form

Learn more about equation of line at:

  • brainly.com/question/1993757
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#LearnwithBrainly

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