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Setler [38]
2 years ago
6

Amanda's family is taking a road trip. Their car can travel no more than 352 miles without needing to refill the gas tank. They

have traveled 108 miles since they last filled the gas tank.
Amanda knows that the inequality representing this situation is 108+x≤352.

Select from the drop-down menu to correctly interpret the solution of this inequality.
Amanda's family can drive miles before they need to refill the gas tank.
Mathematics
1 answer:
Solnce55 [7]2 years ago
6 0

From the solution to the inequality, the correct interpretation is that:

Amanda's family can drive 244 miles before they need to refill the gas tank.

The amount of miles they can still travel is modeled by the following <em>inequality</em>:

108 + x \leq 352

It is solved similarly to an equality, hence:

x \leq 352 - 108

x \leq 244

Then:

Amanda's family can drive 244 miles before they need to refill the gas tank.

You can learn more about inequalities at brainly.com/question/25629776

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Stels [109]

Answer:

13. c,

14. a.

Step-by-step explanation:

13.  The length of a side PQ with coordinates of

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       is: \sqrt{(x-w)^{2} +(y-z)^{2} }

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\sqrt{(5-5)^{2}+(-2+7)^{2}  } =\sqrt{0^{2}+5^{2}  } =5

  • the length of side BC =

\sqrt{(5-1)^{2}+(-7+2)^{2}  } =\sqrt{(4)^{2}+(-5)^{2}  } =\sqrt{4^{2}+5^{2}  }

  • the length of side AC=

\sqrt{(5-1)^{2} +(-2+2)^{2} } =\sqrt{4^{2} } =4

now, the easiest one will be when the vertices are on the coordinate axes.

  • so, option c will be the most appropriate one.

14. If u see the figure clearly, the lines l and FH are parallel.

the parallel postulate, i.e, the alternate interior angles will always be congruent.

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7 0
4 years ago
the perimeter of a rectangle if the width is w centimeters and the length is 3 cm more than twice the width
lianna [129]
L being the length, W being the width.

So:

if the Length is 8cm more than twice the width, we have:

2W+8

so it's:

perimeter of a rectange = 2(2W+8)+2W

You asked me not to simplify it, so that should be your answer.
4 0
3 years ago
PLEASE HELP! SEE THE IMAGES BELOW! 30 POINTS
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Answer:

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Step-by-step explanation:

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the second line is going down at -1/2 and crosses the y axis at 2 so it is       _<_ -1/2x+2


2. The point where the two lines cross is at (2.5, -6.5)

6 0
4 years ago
The number of three-digit numbers with distinct digits that can be formed using the digits 1, 2, 3, 5, 8, and 9 is . The probabi
Tems11 [23]

Answer:

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Step-by-step explanation:

When we form such three-digit numbers with distinct digits using the digits  1 , 2 , 3 , 5 , 8  and  9  (in all six digits all different), observe that the order of digits does matter. For example, if we make a number using digits  1 , 2 ,  and  3 , we can have  123 , 132 , 231 , 213 , 312  or  321 .

Hence we have to find number of  3  digit numbers that can be made from these six digits using permutation and answer is ⁶ P ₃ =  6  ×  5  ×  4  =  120 .

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Hence, the probability, that both the first digit and the last digit of the three digit number are even numbers, is  8  /120  =  1 /15

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