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Anit [1.1K]
3 years ago
11

An art club sells 42 large candles and 56 small candle price of large candle is $10 the cost is $x a small candles cost $5 and c

ost is $y use the distributive property to right and simplify an expression for the profit
Mathematics
1 answer:
balandron [24]3 years ago
4 0

Answer:

Profit = $(700 - 42x - 56y)

Step-by-step explanation:

For large candles, the selling price is $10 and its making cost is $x.

So, by selling a large candle the profit is $(10 - x)

Again for small candles, the selling price is $5 and its making cost is $y.

So, by selling a small candle the profit is $(5 - y)

Therefore, in a sell of 42 large candles and 56 small candles the total profit will be, P = 42 (10 - x) + 56 (5 - y)

⇒ P = 420 - 42x + 280 - 56y {Applying distributive property}

⇒ P = $(700 - 42x - 56y) (Answer)

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Complete question :

A landscaper drew a scale drawing of a rectangular yard using the scale, , before beginning to work on the yard.

(a) The landscaper plans to put a fence around the entire yard. How many meters of fencing does she need? Show your work.

(b) The landscaper plans to create a rectangular garden that is the size of the actual yard. What is the area of the garden?

Answer:

28cm ; 48cm²

Step-by-step explanation:

From the diagram :

Length = 8cm

Width = 6cm

Meters of fencing required :

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P = 2 (8cm + 6cm)

P= 2(14cm)

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2.)

Area of rectangle :

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8 0
3 years ago
On a coordinate plane, a dashed straight line has a positive slope and goes through (negative 3, 1) and (0, 3). Everything to th
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Answer:

y> \frac{2}{3}x+3

Step-by-step explanation:

we have the points

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step 1

Find the slope m of the line

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

substitute the values

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m=\frac{2}{3}

step 2

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y=mx+b

we have

m=\frac{2}{3}

b=3 ----> the y-intercept is the point (0,3)

substitute the values

y=\frac{2}{3}x+3

step 3

Find the equation of the inequality

we know that

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Everything to the left of the line is shaded ( The inequality is of the form y > ax+b or y ≥ ax+b)

Is a dashed line (The inequality is of the form y > ax+ b or y < ax+b)

therefore

The equation of the inequality is of the form y > ax+b

The inequality is

y> \frac{2}{3}x+3

see the attached figure to better understand the problem

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3 years ago
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The parallelogram will translate along the arrow and reach the head of the arrow.

The translation is a category of motion in which one body moves along towards a particular direction and reaches a particular point.

In translation, the rotational motion is not present. Also, the translational motion is a one-dimensional motion.

In the given figure, the parallelogram is present at the tail of the arrow.

The arrow depicts the direction of the translational motion.

So, the parallelogram will reach the end of the arrow as shown in the picture present in the attachment.

For more explanation about translation or rotation, refer to the following link:

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Answer:

d) none of the above

Step-by-step explanation:

correct me if wrong .

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x + (x + 29) + (x + 26 + 29) = 135
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