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4 years ago

A rectangle length was 4 feet longer than triple the length of it width

1 answer:

4 0

Length is 48 ft

The perimeter of a rectangle is equal to the sum of all side’s.
2(lengths)+2(widths)= perimeter
Length=3x+4
Now given the perimeter of 140
3(3x+4)+3(x)=140
9x+12+3x=140
12x+12=140
12x=128
X= 10.7
10.7 is the width

Length=3x+4
Length =3(10.6)+4
Length=31.8+4
Length=35.8
Answer = 35.8
This can only be answered if you were given a perimeter.

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7 line tshirt company manufactures t-shirts and sells them online.The company has a model where the cost C, in dollars to make x

bonufazy [111]

Answer:

The company must sell at least 2 shirts to break even.

Step-by-step explanation:

Cost:

The cost is given by the following equation:

$C = \frac{40}{30x+20} + 20 = \frac{4x}{3} + 20$

Revenue:

The revenue is given by the following equation:

$R = 15x$

How many t shirts must the company sell to break even?

Breakeven point is when the revenue is the same as the costs. So

$\frac{4x}{3} + 20 = 15x$

$15x - \frac{4x}{3} = 20$

$\frac{45x}{3} - \frac{4x}{3} = 20$

Multiplying everything by 3

$45x - 4x = 60$

$41x = 60$

$x = \frac{60}{41} = 1,...$

Since you cant make a decimal value of shirts

The company must sell at least 2 shirts to break even.

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7 0

3 years ago

Find the fifth term in the sequence that is defined as follows:

hram777 [196]

Answer : The fifth term in the sequence is -2.

Step-by-step explanation :

As we are given that the expression to calculate the $n^{th}$ term.

The expression is as follows:

$a_n=2(-1)^n$

where,

n is the number of term

Given:

n = 5

Now putting the value of n in the above expression, we get:

$a_n=2(-1)^n$

$a_5=2(-1)^5$

$a_5=2\times (-1)$

$a_5=-2$

Therefore, the fifth term in the sequence is -2.

5 0

3 years ago

What is y-intercept of the graph

Kipish [7]

Answer:

1a. y-intercept: 12

1b. slope: -3/2

1c. equation: y = -3/2x +12

2a. y-intercept: -9

2b. slope: 2

2c. equation: y = 2x -9

Step-by-step explanation:

A) We observe the pattern to be <em>x-values in the table increase by 2, while y-values in the table decrease by 3</em>. We notice the first x-value is 2, so extending the table upward to x=0 would tell us the y-intercept. That is, adding 3 to the first y-value will give the y-intercept as (x, y) = (0, 12).

B) We have already observed that the "rise" (change in y) is -3 for each "run" (change in x) of 2. The slope is the ratio of these changes:

slope = m = rise/run = -3/2

C) From the above, we know that m=-3/2 and b=12. Putting these values into the equation for the line gives ...

y = -3/2x +12

A) We observe the pattern to be <em>y-values increase by 2 while x-values increase by 1</em>. As before, we can find the point that would go before the first one shown in the table. It will have an x-value of 0 and a y-value of -9.

the y-intercept is -9

the slope is 2/1 = 2

the equation is y = 2x -9