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Amanda [17]
3 years ago
13

A pharmacy claims the average medication cost $32 but it could differ as much as $8. Write and solve an absolute value inequalit

y to determine the range of medication costs at this pharmacy.
Mathematics
1 answer:
ExtremeBDS [4]3 years ago
6 0

So,

We can tell that the most expensive medication costs $40 and the cheapest costs $24.  Thus, only options A and C are left. To see which inequality is true, test a value, such as $30, in the equation in option C.

|30 - 32| ≤ 8

|-2| ≤ 8

2 ≤ 8

            Hope this helps! :)

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the sum of ava’s and grace’s ages is 35. Ava is one year less than three time Grace’s age. How old is Ava, x and Grace, y expres
pantera1 [17]

Answer:

Ava is 26 and Grace age is 9

Step-by-step explanation:

x=ava's age

y=grace's age

3y-1=x

x+y=35

Substitute 3y-1 to x+y=35 for the value of x to find grace age

3y-1+y=35

  4y-1=35

     +1  +1

4y=36

y=9       now substitute 9, the y value in 3y-1=x  to find ava's age

3(9)-1=x

x=26

to verify; 26+9=35

true 35=35

 

6 0
3 years ago
A car is 165 inches long. A truck is 65% longer than the car.<br> How long is the truck?
zmey [24]

Answer:

262.25 inches

Step-by-step explanation:

65% of 165 is 107.25

107.25+165=272.25

so the truck is 262.25 inches long

4 0
3 years ago
CHECK ANSWERS -
Tju [1.3M]
Both are correct.

Good job!
6 0
3 years ago
n aquarium holding African cichlids is 6 inches higher than it is wide. Its length is 33 inches, and its volume is 9240 cubic in
sukhopar [10]

Answer: Height = 20 inches

Width = 14 inches

Step-by-step explanation:

The aquarium is rectangular. The formula for determining the volume of a rectangular box is expressed as

Volume = LWH

Where L,W and H represents the length, width and height of the box.

The aquarium holding African cichlids is 6 inches higher than it is wide. It means that

H = W + 6

Its length is 33 inches, and its volume is 9240 cubic inches. It means that

9240 = 33W(W + 6)

9240/33 = W(W + 6)

280 = W² + 6W

W² + 6W + (6/2)² = 280 + (6/2)²

(W + 3)² = 280 + 9 = 289

Taking square root of both sides, it becomes

W + 3 = √289 = 17

W = 17 - 3

W = 14

H = W + 6 = 14 + 6

H = 20

3 0
3 years ago
at maximum speed, an airplane travels 1720 miles against th wind in 5 hours. Flying with the wind, the plane can travel the same
iragen [17]

Answer:

x = 387

Step-by-step explanation:

The wind acts in the opposite direction to the plane when the time is longer.

The wind acts in the same direction as the plane when the time is shorter.

Equation

d = r*t

Givens

  • d = 1720
  • x = plane's speed
  • y = wind speed
  • t1 = 5 hours
  • t2 = 4 hours.

Substitution

  • d = (x + y) * t
  • 1720 = (x + y) * 4
  • 1720 = (x - y) * 5

Since the two distances are the same, you can equate the right hand sides.

  • (x + y) * 4 = (x - y)*5              Remove the brackets.
  • 4x + 4y = 5x - 5y                  Add 5y to both sides
  • 4x + 4y + 5y = 5x - 5y + 5y  Combine all the terms.
  • 4x + 9y = 5x                          Subtract 4x from both sides
  • 9y + 4x - 4x = 5x - 4x           Combine
  • 9y = x

Now use one of the given equations with the distance

  • 1720 = (x + y)*4           Substitute 9y for x
  • 1720 = (9y + y) *  4      Combine
  • 1720 = 10y * 4             Multiply the right
  • 1720 = 40y                  Divide by 40
  • 1720/40 = 40y/40      Do the division
  • 43 = y                          y = wind speek
  • 9y = x                          x = 9*y  
  • 9*43 = x
  • x = 387 miles per hour.
4 0
3 years ago
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