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anyanavicka [17]
2 years ago
6

The number of oranges purchased varies directly as the price of the oranges. If 11 oranges cost $2.35, what is the cost of 18 or

anges?
Mathematics
1 answer:
lara31 [8.8K]2 years ago
4 0

Answer:

If 11 oranges cost $2.35, then the cost of 18 oranges is $3.84.

Step-by-step explanation:

We have,

The number of oranges purchased varies directly as the price of the oranges.

If the cost of 11 oranges is $2.35.

It is required to find the cost of 18 oranges.

As their is direct relation between number and oranges and price.

So,

The cost of 1 orange is $\dfrac{2.35}{11}.

For finding the cost of 18 oranges, multiply 18 by $\dfrac{2.35}{11} such that,

C=18\times \dfrac{2.35}{11}\\\\C=3.84

So, If 11 oranges cost $2.35, then the cost of 18 oranges is $3.84.

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valina [46]

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Answer:

  4)  (x, y) = (1, 3)

  5)  length = 11 meters, width = 7 meters

Step-by-step explanation:

4) "Solve by graphing" means graph the two equations and find the coordinates of the point where they intersect.

For graphing these equations, it works well to start at the y-intercept and use the slope to find another point on the line.

These equations are in "slope-intercept form":

  y = mx + b . . . . . . . . . where <em>m</em> is the slope and <em>b</em> is the y-intercept

In the first equation, the slope is 3 and the y-intercept is 0. (We rarely show +0 in an expression or equation.) This means the point where y=0 on the y-axis is one point on the line.

The slope is the ratio of "rise" to "run". A slope of 3 means the line will go up 3 grid squares for each 1 grid square to the right. That is, another point on the line is the point (1, 3).

To graph the first equation, draw a line through the two points (0, 0) and (1, 3).

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The second equation has a slope of 4 and a y-intercept of -1. This means the  point y=-1 on the y-axis is a point on the line. The slope of 4 means it goes up 4 squares for 1 square to the right, so (x, y) = (1, -1+4) = (1, 3) will be another point on the graph of the second equation. To graph it, draw a line through the two points (0, -1) and (1, 3).

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If you're paying attention, you have figured out that the point (1, 3) is on both lines. That is the only point on both lines, so it is the solution to the system of equations. The solution is (x, y) = (1, 3). The graph is shown in the attachment.

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5) I find it convenient to solve this sort of problem using a single variable. Let w represent the width of the rectangle in meters. Then the length is (w+4), a length that is 4 meters longer than the width.

The perimeter is twice the sum of length and width. An equation expressing that is ...

  P = 2(L +W)

  36 = 2((w+4) +w) . . . . . . . . substitute known values into the formula

Simplifying the equation gives ...

  36 = 2(2w +4)

  36 = 4w +8

Subtracting 8 from both sides, we have ...

  28 = 4w

Then we can divide both sides by 4 to find w.

  7 = w . . . . . . the width

  (w+4) = (7+4) = 11 . . . . . the length

The length and width of the rectangle are 11 meters and 7 meters, respectively.

3 0
2 years ago
10 * 2020 * 30httkjjj​
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Answer: 606000 pls mark as brainliest

Step-by-step explanation:

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2 years ago
Write the equation of a vertical line that passes through the point (–4, 4).
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The question asks for a vertical line, and if it is vertical, it cannot be y = ... because that is horizontal. We also know it passes through the x-coordinate of -4, so the answer is x = -4. 
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3 years ago
Which equation represents the function graphed on the coordinate plane?????
Y_Kistochka [10]

Since you haven't provided the graph, I'll explain each one and you choose the one suiting your given.

<u>The parent modulus function is:</u>

g(x) = |x|

It is centered at the origin and opens upwards.

A coefficient inside the modulus |x+k| means that the function is shifted along the x-axis

If "k" is <u>positive</u>, the shift will be to the <u>left</u>. If "k" is <u>negative</u>, the shift will be to the <u>right</u>.

A coefficient outside the modulus |x| + h means that the function is shifted along the y-axis

If "h" is <u>positive</u>, the shift will be <u>upwards</u>. If "h" is <u>negative,</u> the shift will be <u>downwards</u>.

<u>Now, let's check each of the options:</u>

<u>g(x) = |x+4| - 2 :</u>

This function is shifted 4 units to the left and 2 units down. It will be centered at (-4,-2). Check the blue graph in the attachment.

<u>g(x) = |x-4| - 2 :</u>

This function is shifted 4 units to the right and 2 units down. It will be centered at (4,-2). Check the black graph in the attachment.

<u>g(x) = |x-2| - 4 :</u>

This function is shifted 2 units to the right and 4 units down. It will be centered at (2,-4). Check the red graph in the attachment.

<u>g(x) = |x-2| + 4 :</u>

This function is shifted 2 units to the right and 4 units up. It will be centered at (2,4). Check the green graph in the attachment.

All 4 graphs are shown in the attached picture.

Hope this helps :)


3 0
3 years ago
Read 2 more answers
Marisol buys 3 pounds of cheese and 3 pounds of sausage for a total cost of $36. The sausage costs $2.00 less per pound than the
Andreas93 [3]

Answer:

The answer is 1pound of cheese is 7$ and the sausage is 5$

Step-by-step explanation:

6 0
3 years ago
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