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xxMikexx [17]
3 years ago
6

The inequality h > 48 represents the minimum

Mathematics
1 answer:
inessss [21]3 years ago
7 0

Answer:

Option C. Anna and Sara

Step-by-step explanation:

<u><em>The complete question in the attached figure</em></u>

Let

h ----> the minimum  height h in inches necessary to ride a certain roller  coaster

we  have

h\geq 48

The solution for this inequality is the interval [48,∞)

so

The value of h must be greater than or equal to 48 inches

<u><em>Verify who can ride the roller coaster</em></u>

1) Miguel 42 in

substitute the value of h in the inequality

42\geq 48 ----> is not true

therefore

Miguel can't ride the roller coaster

2) Patrick 45 in

substitute the value of h in the inequality

45\geq 48 ----> is not true

therefore

Patrick can't ride the roller coaster

3) Anna 48 in

substitute the value of h in the inequality

48\geq 48 ----> is true

therefore

Anna can ride the roller coaster

4) Sara 52 in

substitute the value of h in the inequality

52\geq 48 ----> is true

therefore

Sara can ride the roller coaster

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4 0
4 years ago
An alloy weighing 30 lbs. is 11% tin. The alloy was made by mixing a 15% tin alloy and a 9% tin alloy. How many pounds of each a
pochemuha
We let x = pounds of alloy that is 15% tin
The problem is modeled by the equation:
0.11(30) = 0.15x + 0.09(30-x)
The equation means that the amount of tin does not change. Also, the amount of alloy (total weight - weight of 15% alloy) is (30-x). 

Solving for x:
3.3 = 0.15x +2.7 - 0.09x
.06x = 0.6
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3 years ago
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3 0
3 years ago
Z +5 = 6<br> Help please
Phoenix [80]

Answer:

z = 1

Step-by-step explanation:

z + 5 = 6

z = 6 - 5

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6 0
3 years ago
Read 2 more answers
If the length is 7 more than 4 times the width of a rectangle and the perimeter is 74mm, what are the dimensions?
kogti [31]
-----------------------------------------------
Define x :
-----------------------------------------------
Let the width be x
Width = x
Length = 4x + 7

-----------------------------------------------
Formula :
-----------------------------------------------
Perimeter = 2 (Length + Width)

Perimeter = 74
2(4x + 7 + x) = 74       // sub length and width into the equation
2(5x + 7) = 74             // combine like terms
10x + 14 = 74              // Apply distributive property
10x = 60                      // Take away 14 from both sides
x = 6                            // Divide by 10 on both sides

-----------------------------------------------
Find Length and Width :
-----------------------------------------------
Width = x = 6mm
Length = 4x + 7 = 4(6) + 7 = 31mm

----------------------------------------------------------------------------------------------
Answer: The length is 31mm and its width 6mm.
----------------------------------------------------------------------------------------------
7 0
4 years ago
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