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gayaneshka [121]
2 years ago
7

Sandy went to the post office with $20. She mailed a package for $3.67. Write and solve an inequality to find the greatest amoun

t of $.37 stamps Sandy could have purchased?​
Mathematics
1 answer:
Eddi Din [679]2 years ago
4 0

Answer:

Step-by-step explanation:

Total money = $20

amount for mailing package = $ 3.67

Price for one stamp = $ 0.37

Let number of stamps be x,

Price for x stamps = $.037x

Price for x stamps + amount for package should not exceed $20

0.37x+3.67 ≤ 20

Solving for inequality,

x≤ 44.1

Since x should be whole number,

x ≤ 44

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OABC is a tetrahedron and OA=a, OB=b, and OC=c. The point P and Q are such that OA =AP and 2OB = BQ. The point M is a midpoint o
serg [7]

Solution:

Let OA=a, OB=b, and OC=c

Then OP=2a and OQ=3b

OA+AB=OB ⇒ AB=b-a

OP+PQ=OQ ⇒ PQ = 3b-2a

OC+CQ = OQ ⇒ CQ = 3b-c

QM= -\frac{1}{2} PQ = a-\frac{3}{2}b

OM=OQ+QM = 3b + a-\frac{3}{2}b = a+\frac{3}{2}b

OM+MB=OB=>MB = b-(a+\frac{3}{2}b) = -a-\frac{1}{2}b

(i) AB = b-a

(ii) PQ = 3b-2a

(iii) CQ = 3b-c

(iv) QM = a-\frac{3}{2}b

(v) MB =  -a-\frac{1}{2}b

(vi) OM = a+\frac{3}{2}b

5 0
2 years ago
Suppose you want to assess student attitudes about the new campus center by surveying 100 students at your school. In this examp
sleet_krkn [62]

Answer:

Suppose you want to assess student attitudes about the new campus center by surveying 100 students at your school. In this example, the group of 100 students represents the Sample, and all of the students at your school represent the Population.

Step-by-step explanation:

Previous concepts

The term sample represent a set of observations or individuals selected from a population. And we can have a random sample (when all the individuals have the same probability of being selected) or a non random sample (when not all the individuals have probability of inclusion into the sample)

The term population represent the total of observations or individuals with a common characteristic.

If N represent the sample of the population and n the sample size we have always this inequality:

n \leq N

Solution to the problem

Suppose you want to assess student attitudes about the new campus center by surveying 100 students at your school. In this example, the group of 100 students represents the Sample, and all of the students at your school represent the Population.

3 0
2 years ago
Malia is placing a barrier around the edge of a circular path with a diameter of 13 meters. The barriers are in lengths of 2.5 m
gizmo_the_mogwai [7]

we need some barriers such that total of length of all barriers should equal to the circumference of the circle.

so lets assume we need x barriers

then total length of all barriers = 2.5x meter

now radius of circular path = diameter / 2= 13/2 = 6.5 meter

circumference of path = 2× pi × r = 2 × 3.14 × 6.5

=40.82 meter

so now as per statement

2.5x = 40.82

x = 40.82/2.5 = 16.328 ≈ 17

so approximately 17 barriers are required

5 0
2 years ago
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What is the value of n? 9x27+2x31-28= n
iVinArrow [24]

n=277

9x27+2x31-28=n

243+62-28=n

305-28=n

277=n


3 0
2 years ago
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The number of miles that Jenna cycled each week for a 7-week period is shown: 36, 42, 28, 52, 48, 36, 31 What is the median numb
Mumz [18]

Answer:

Median = 36

Step-by-step explanation:

To calculate the median number of miles Jenna cycled, we must first rearrange the numbers. The rearranged numbers are:

28, 31, 36, 36, 42, 48, 52

The middle number is 36

The median it therefore = 36

7 0
2 years ago
Read 2 more answers
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