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Paraphin [41]
4 years ago
13

Write and graph a system of inequalities that models the situation.

Mathematics
1 answer:
liubo4ka [24]4 years ago
7 0

Answer:

The feasible region in the attached figure

Step-by-step explanation:

Let

x ----> the number of shirts

y ----> the number of pants

we know that

The cost of the shirts (number of shirts multiplied by the cost of one shirt) plus the cost of the pants (number of pants multiplied by the cost of one pant) must be less than or equal to $80

so

The inequality that represent this problem is

5x+8y\leq 80

using a graphing tool

The feasible region is the triangular shaded area

see the attached figure

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SOMEONE HELP PLEASE! THANK YOU! <br><br> EXPLANATION = BRAINLIEST
Maru [420]

Geometry

The formula for the area of a sector is

k =  \frac{m}{360} \times a

Input the things which you already know. (m)

k =  \frac{45}{360}  \times a

a=πr^2

a=36π

Input this into the equation.

k =  \frac{45}{360}  \times 36 \times 3.14

k =  \frac{45}{360}  \times 113.04

k = 14.13

5 0
2 years ago
A chemist is using 344 milliliters of a solution of acid and water. If 17.2% of the solution is acid, how many milliliters of ac
Rzqust [24]
Iworurieoow this is my answer

4 0
2 years ago
The perimeter of a regular hexagon (All sides are equal) is 24x +48. Write an expression to represent the length of one side.
navik [9.2K]

Answer:

4x+8

Step-by-step explanation:

Find the number of sides in a hexagon, which is 6. Take the expression that represents the perimeter of the hexagon, 24x+48, and divide it by 6. The easier way to do this is to multiply this expression by 1/6. Which looks like so, 1/6(24x+48). Which gives you the answer 4x+8.

4 0
3 years ago
Write the equation of the line perpendicular to 2x+3y=9 that passes through (-2,5). Write your answer in slope-intercept form.
kaheart [24]

Answer:

y = \frac{3}{2} x + 8

Step-by-step explanation:

the equation of a line in slope intercept form is

y = mx + c ( m is the slope and c the y-intercept )

rearrange 2x + 3y = 9 into this form

subtract 2x from both sides

3y = - 2x + 9 ( divide all terms by 3 )

y = - \frac{2}{3} x + 3 ← in slope-intercept form

with slope m = - \frac{2}{3}

given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m} = -\frac{1}{-2/3} = \frac{3}{2}, hence

y = \frac{3}{2} x + c ← is the partial equation

to find c substitute (- 2, 5) into the partial equation

5 = - 3 + c ⇒ c = 5 + 3 = 8

y = \frac{3}{2} x + 8 ← equation of perpendicular line


5 0
3 years ago
Inverse equation t=120r/r+120 R=???
Komok [63]

9514 1404 393

Answer:

  r = 120t/(120-t)

Step-by-step explanation:

Multiply by the denominator, isolate r terms, then divide by the coefficient of r.

  t=\dfrac{120r}{r+120}\qquad\text{given}\\\\t(r+120)=120r\qquad\text{multiply by $(r+120)$}\\\\120t=120r-tr\qquad\text{subtract $tr$}\\\\\dfrac{120t}{120-t}=r\qquad\text{divide by the coefficient of $r$}\\\\\boxed{r=\dfrac{120t}{120-t}}

7 0
3 years ago
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