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Masteriza [31]
3 years ago
15

Travis has decided to budget his spending money. He can spend no more than $155.60 every month. He has also decided to spend 2.5

times as much money on video games as he spends on movies. What linear inequality describes this problem?
Mathematics
1 answer:
saul85 [17]3 years ago
4 0
Given:
monthly budget = 155.60
cost of movies = x
cost of video games = 2.5x

movies + vidgames < budget

x + 2.5x < 155.60
3.5x       < 155.60 *expression of inequality

3.5x       < 155.60
<u>÷3.5           ÷3.5</u>
 x           <  44.46

Travis should spend less than 44.46 on movies. 

Assuming movie cost 44.

x + 2.5x < 155.60
44 + 2.5(44) < 155.60
44 + 110 < 155.60
154 < 155.60
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6 m  -  polyester fabric: 12, cotton fabric: 42

8 m  -  polyester fabric: 16, cotton fabric: 56

9 m  -  polyester fabric: 18, cotton fabric: 63

check:

2 m: 4/14=2/7

6 m: 12/42=2/7

8 m: 16/56=2/7

9 m: 18/63 = 2/7

7 0
3 years ago
HELP 10PTS AND BRAINLIESTThe image of a triangle after it has been dilated with a center of dilation at the origin has vertices
Gala2k [10]

Answer:

C is (-18, 24)

Scale factor 1 1/3

A is (9, - 4 1/2)  *4 1/2 is also 4.5

Step-by-step explanation:

When we take a look at image B (-24, -12) and pre image B (-18, -9),

we can work out the scale factor by

(-24/-18) and (-12/-9) both equal 4/3

So using the scale factor to go from the pre image to the image,

We can find C coordinate by multiplying pre image C by the scale factor.

C is (-13.5 x 4/3) and (18 x 4/3)

C is (-18, 24)

The scale factor is 4/3, which is the mixed numeral of 1 1/3.

To find the pre image of point A we divide the image by the scale factor

A is (12/(4/3)) and (-6/(4/3))

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8 0
3 years ago
Read 2 more answers
What is the value of the expression?
Kamila [148]
Must do multiplication first....
-2/5 - 3/7 x 7/10
-2/5 - 21/70 (I'll reduce 21/70)
-2/5 - 3/10
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7 0
3 years ago
If the farmer has 250 feet of fencing to create a rectangular pen, define a function f that expresses the area of the field (mea
hoa [83]

Answer:

Maximum area possible

f(max)  = 3906,25 ft²

Dimensions:

a  = 62,5  ft

w  = 62,5 ft

Step-by-step explanation:

Perimeter of the rectangular fencing    P  =  250 feet

And sides of the rectangle  a  and  w (width of rectangle)

Then

A =  a*w

2a  + 2w  = 250       ⇒  a  =  (250 -2w)/ 2    ⇒  a = 125 - w

f(w)  =  (125  - w ) *w        f(w)  = 125w - w²  

Taking derivatives both sides of the equation

f´(w)   =  125  - 2w              f´(w)   = 0           125  - 2w = 0

w = 125/2

w = 62,5 ft            ⇒  a = 125 - 62,5

a = 62,5 ft

f(max)  = ( 62,5)²

f(max)  = 3906,25 ft²

8 0
3 years ago
How many students are in Mr. Gatlin’s class?How did you know? Justify your reasoning..
lubasha [3.4K]

Answer:

where is the full question?

Step-by-step explanation:

4 0
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