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Lady bird [3.3K]
1 year ago
9

sarah spent a total of 10 on oranges and apples at the supet market. if she spent 3 dollars less for oranges than she did on app

les how much did sarah spend on oranges
Mathematics
1 answer:
beks73 [17]1 year ago
3 0

Let's write 2 equations from the two statements given.

<em>Sarah spent 10 dollars on both oranges and apples</em>

<em />

Let the price of oranges be "x" and price of apples be "y", thus we can write:

x+y=10

Oranges cost 3 less than apples, thus we can say:

y-3=x

We can substitute this into the first equation and solve for y:

\begin{gathered} x+y=10 \\ y-3+y=10 \\ 2y=10+3 \\ 2y=13 \\ y=\frac{13}{2} \\ y=6.5 \end{gathered}

Thus, let's solve for x now,

\begin{gathered} x=y-3 \\ x=6.5-3 \\ x=3.5 \end{gathered}

We want the price of oranges (x), thus,

<em>Price of Oranges = $3.50</em>

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Answer:

a. Function 1

b. Function 3

c. Function 2, Function 3 and Function 4

Step-by-step explanation:

✔️Function 1:

y-intercept = -3 (the point where the line cuts across the y-axis)

Slope, using the two points (0, -3) and (1, 2):

\frac{y_2 - y_1}{x_2 -x_1} = \frac{2 -(-3)}{1 - 0} = \frac{5}{1} = 5

Slope = 5

✔️Function 2:

y-intercept = -1 (the value of y when x = 0)

Slope, using the two points (0, -1) and (1, -4):

\frac{y_2 - y_1}{x_2 -x_1} = \frac{-4 -(-1)}{1 - 0} = \frac{-3}{1} = -3

Slope = -3

✔️Function 3: y = 2x + 5

y-intercept (b) = 5

Slope (m) = 2

✔️Function 4:

y-intercept = 2

Slope = -1

Thus, the following conclusions can be made:

a. The function's graph that is steepest is the function whose absolute value of its slope is greater. Therefore Function 1 is the steepest with slope of 5

b. Function 3 has a y-intercept of 5, which is the farthest from 0.

c. Function 2, Function 3, and Function 4 all have y-intercept that is greater than -2.

-1, 5, and 2 are all greater than -2.

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3 years ago
A boat traveled 27 miles in 2 hrs. At this rate, How many miles will the boat travele in 1/2 hrs
Mashcka [7]

Answer:

In explanation down below.

Step-by-step explanation:

So if the boat was able to travel 27 miles in 2 hours that means that it traveled 13.5 miles an hour. I think that you want to know how many miles the boat will travel in 1/2 an hour. Which is 6.75.  

1 hour: 13.5 miles

1/2 hour the boat has traveled 6.75 miles.

I hope this helps!!!

Please mark brainliest :)

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1 year ago
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Answer:

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Step-by-step explanation:

Let 6 cans represent an "order" of fruit juice. 72 cans means 12 orders (72 divided by 6). Since each order costs $2.50, 12 orders costs $30 (12 multiplied by 2.5).

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3 years ago
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Answer:

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