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Taya2010 [7]
4 years ago
14

A Cab charges $1.75 for the flat fee and $0.25 for each mile. Write and solve an inequality to determine how many miles Eddies c

an travel if he has $15 to spend
Mathematics
1 answer:
NemiM [27]4 years ago
4 0
1.75 + 0.25x ≤ 15
where x is equal the number of miles.

The key to solving an inequality is just temporarily making the ≤ symbol a =. Then solve for x like any other algebraic equation. Once you find the value of x, you will have solved the inequality. Make sure to add back the ≤ when you are done. 

15 - 1.75 = 13.25
13.25/0.25 = x 
x = 53
add back the ≤
x ≤ 53
This means Eddies can travel up to 53 miles with his $15.
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In a multiple choice examination of 20 questions, four marks are given for each correct answers and one mark is deducted for eac
mrs_skeptik [129]

Step-by-step explanation:

Total no. of questions = 20

Marks given for a correct answer = 4

Marks deducted for a wrong answer = 1

No. of questions attended by the candidate = a

No. of questions the candidate gets correct = c

No. of questions the candidate gets wrong = a - c

Marks obtained for correct answers = 4c

Marks deducted for wrong answers = 1 (a - c)

Total marks scored by the candidate =

Marks obtained for correct answers - Marks deducted for wrong answers

Total marks scored by the candidate = 4c - 1 (a - c)

= 4c - a + c

= 5c - a

4 0
3 years ago
Call a household prosperous if its income exceeds $100,000. Call the household educated if the householder completed college. Se
melisa1 [442]

Answer:  0.317

Step-by-step explanation:

Let A be the event that the selected household is prosperous and B the event that it is educated.

Given : P(A)=0.138,   P(B)=0.261

P(A and B)=0.082

We know that for any events M and N ,

\text{P(M or N)=P(M)+P(N)-P(M or N)}

Thus , \text{P(A or B)=P(A)+P(B)-P(A or B)}

\text{P(A or B)}=0.138+0.261-0.082\\\\\Rightarrow\text{ P(A or B)}=0.317

Hence, the probability P(A or B) that the household selected is either prosperous or educated = 0.317

8 0
3 years ago
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3 years ago
A group of researchers wants to develop an experiment to determine whether a new drug effectively treats cancer. The researchers
yawa3891 [41]

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The ethical issue associated with given type of testing is that animals have right to live and survive. They should not be subjected to the treatment where they experience harm or even death.

Part B: Those assigned to the control take a sugar pill. The only thing you want to vary across groups when you're conducting an experiment is the treatment. Since taking pills is a part of taking medication (the treatment), medical experiments often employ something called a placebo-controlled study where outcomes for those who are randomly assigned to take the medication are compared to outcomes for those who are randomly assigned to take a sugar pill. The sugar pill is expected to have no effect, so it serves as a useful baseline to compare the treatment to.

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8 0
3 years ago
What is the vertex and axis of symmetry for y=4x^2-12x+9?
VLD [36.1K]

Answer:

axis of symmetry   x=3/2

vertex  (3/2, 0)

Step-by-step explanation:

to find the axis of symmetry we use h = -b/2a

where ax^2 + bx+c


h = -(-12)/2(4)

h= 12/8

h = 3/2

the axis of symmetry is x = 3/2

the x coordinate of the vertex is h x=3/2

to find k, the y coordinate of the vertex, substitute x=3/2 into the equation

y=4x^2-12x+9

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  = 9-18+9

  = 0


the vertex (3/2, 0)

4 0
3 years ago
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