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2 years ago

Help!!!

Mathematics

1 answer:

FinnZ [79.3K]2 years ago

3 0

The number of shirts that should be sold in order to breakeven is 75.

The profit when 150 shirts are sold is $750.

<h3>How many shirts should be sold to breakeven?</h3>

When there is a breakeven, profit earned is zero.

The equation that can be used to determine the number of shirts to be sold to break even is:

Total selling price = fixed cost + (total variable cost)

$15t = $750 + $5t

Where t is the number of t-shirts sold

$15t - $5t = $750

$10t = $750

t = 75

<h3>What is the profit made when 150 shirts are sold?</h3>

Profit is the total selling price less cost price

(150 X $15) - $750 - ($5 x 150)

$2,250 - $750 - $750 = $750

To learn more about profit, please check: brainly.com/question/26181966

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A rectangular swimming pool is 19 meters long, 12

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Answer:

19 x 12 1/2 x 4 1/2 = 1068 3/4 cubic meters

Step-by-step explanation:

don't forget the units.

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3 years ago

The length of a rectangle is 5 inches more than its vedth. The area of the rectangle is equal to

jarptica [38.1K]

Answer:

The width = x = 14

The length = x+5 = 14+5 = 19

Step-by-step explanation:

Let l = length, w = width, A = area = l×w , and P = perimeter = 2(l+w)

Let 'x' be the width

As the length 'l' of a rectangle is 5 inches more than its width.

so the length will be = x+5

As the Area of the rectangle is equal to 2 inches more than 4 times the perimeter.

A = 4P + 2

so the equation becomes

l × w = 4×2(l+w)+2

substituting w=x, l = x+5,

(x+5)x = 8(x+5+x)+2

x²+5x = 8(5+2x)+2

x²+5x = 40+16x+2

x²+5x = 16x+42

x²+5x-16x-42 =0

x²-11x-42=0

$x^2-11x=42$

$\mathrm{Add\:}a^2=\left(-\frac{11}{2}\right)^2\mathrm{\:to\:both\:sides}$

$x^2-11x+\left(-\frac{11}{2}\right)^2=42+\left(-\frac{11}{2}\right)^2$

$x^2-11x+\left(-\frac{11}{2}\right)^2=\frac{289}{4}$

$\left(x-\frac{11}{2}\right)^2=\frac{289}{4}$

$\mathrm{For\:}f^2\left(x\right)=a\mathrm{\:the\:solutions\:are\:}f\left(x\right)=\sqrt{a},\:-\sqrt{a}$

solving

$x-\frac{11}{2}=\sqrt{\frac{289}{4}}$

$x-\frac{11}{2}=\frac{\sqrt{289}}{\sqrt{4}}$

$x-\frac{11}{2}=\frac{\sqrt{289}}{2}$

$x-\frac{11}{2}=\frac{17}{2}$

$x-\frac{11}{2}+\frac{11}{2}=\frac{17}{2}+\frac{11}{2}$

$x=14$

similarly solving

$x-\frac{11}{2}=-\sqrt{\frac{289}{4}}$

$x-\frac{11}{2}=-\frac{17}{2}$

$x-\frac{11}{2}+\frac{11}{2}=-\frac{17}{2}+\frac{11}{2}$

$x=-3$

x = 14, or x = -3

As the width 'x' can not be negative.

so x = 14

Thus,

The width = x = 14

The length = x+5 = 14+5 = 19

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3 years ago

Which ordered pairs are solutions to the inequality y − 4x ≤ −6?

Troyanec [42]

Choice a:
The order pair given is (<span>1, 3)
y-4x = 3-4(1) = -1
-1 is greater than -6
Therefore, this choice is wrong

Choice b:
</span>The order pair given is (-2, -14)
y-4x = -14-4(-2) = -6
-6 is equal -6
Therefore, this choice is correct

Choice c:
The order pair given is (-1, -9)
y-4x = -9-4(-1) = -5
-5 is greater than -6
Therefore, this choice is wrong

Choice d:
The order pair given is (3, 5)
y-4x = 5-4(3) = -7
-7 is less than -6
Therefore, this choice is correct

Choice e:
The order pair given is (0, -5)
y-4x = -5-4(0) = -5
-5 is greater than -6
Therefore, this choice is wrong

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Step-by-step explanation: