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Andru [333]
3 years ago
11

Myranda received a movie gift card for $100 to her

Mathematics
1 answer:
PSYCHO15rus [73]3 years ago
5 0

Answer:

The graph in the attached figure

Step-by-step explanation:

Let

x ---> represents  the number of matinee tickets she could purchase

y ---> represents  the number of evening tickets she could purchase

we know that

The number of matinee tickets (x) multiplied by $7.50 each plus the number of evening tickets (y) multiplied by $12.50 each must be at most (less than or equal to) $100

so

The inequality that represent this problem is

7.50x+12.50y\leq 100

using a graphing tool

The solution is the triangular shaded area

Remember that the number of tickets must be a whole number

see the attached figure

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A truck that is 12 ft. by 10 ft. by 15 ft. carries cube
kvasek [131]

Answer: 284 boxes in the shape of the cubes can be fitted in the truck.

Step-by-step explanation:

If a truck is fitted fully with the cubes, volume of the truck will be equal to the volume of cubes to be fitted.

Dimensions of the truck given in the question,

Length = 10 feet, width = 12 feet and height = 8 feet

Since, volume of a cuboid (shape of a truck) is given by the expression,

Volume = Length × Width × Height

Therefore, volume of the truck = 10 × 12 × 8

                                                  = 960 feet³

Volume of a cube is given by the expression,

Volume = (side)³

Therefore, volume of the cube with side length 1.5 feet will be,

Volume of a cube = (1.5)³

                             = 3.375 cubic feet

Let the number of cubes fitted in the truck = x

Therefore, volume of 'x' cubes = (3.375x) feet³

Since, volume of the truck = Volume of the cubes fitted

3.375x = 960

x =  960/3.375

x = 284.44

x ≈ 284

    Therefore, 284 boxes in the shape of the cubes can be fitted in the truck.

5 0
1 year ago
Read 2 more answers
A company is expanding its building area from 17000 square feet to 24480 square feet. What is the percentage increase of the are
Ulleksa [173]
I would say A because 1700-24480 is -74.8%
5 0
3 years ago
What is the value of x in the equation 6x-5/2 = 2x+6​
nataly862011 [7]

Answer:

x= 17/8

Step-by-step explanation:

6x− 5/2=2x+6

Step 1: Simplify both sides of the equation.

6x+−5/2=2x+6

Step 2: Subtract 2x from both sides.

6x+−5/2−2x=2x+6−2x

4x+−5/2=6

Step 3: Add 5/2 to both sides.

4x+−5/2+5/2=6+5/2

4x=17/2

Step 4: Divide both sides by 4.

4x/4=17/2/4

x=17/8

7 0
3 years ago
Is 2 and -16 an integer
____ [38]

yes they are integers

3 0
3 years ago
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Which statements about the hyperbola are true? check all that apply. the center is located at (0, 0). there is a vertex at (–6,
Vinvika [58]

The statements about the hyperbola are true are:

  • The center is located at (0, 0).
  • There is a vertex at (–6, 0).
  • The directrices are vertical lines.

<h3>What is a hyperbola?</h3>

It should be noted that a hyperbola simply means a open curve that has two branches.

Here, the center is located at (0, 0), there is a vertex at (–6, 0), and the directrices are vertical lines.

Learn more about hyperbola on:

brainly.com/question/3351710

#SPJ4

6 0
2 years ago
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