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MArishka [77]
3 years ago
9

The length of a rectangle is five less than three times the width. The perimeter is 46 inches .Find the length and width

Mathematics
1 answer:
zysi [14]3 years ago
7 0
Let l represent length, and w represent width
l=3w-5

P=2(l+w)
46=2(l+w)
Divided 2 for both side
l+w=23
Now, I substitute l=3w-5 into this equation
3w-5+w=23
4w-5=23
Add 5 for both side
4w=28
Divided 4 for both side
w=7 inches
l=3w-5
l=3(7)-5
l=21-5
l=16 inches. As a result, the length is 16 inches, and the width is 7 inches. Hope it help!
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4 0
3 years ago
34.1 divided by what equals 22
allochka39001 [22]
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3 0
3 years ago
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the boat in calm water is 30 km / h. How far can tourists travel by boat if they have to return after 2 hours to the place from
xeze [42]

Answer:

60km

Step-by-step explanation:

They travel 30km in the first hour, then turn back and travel the same 30km backwards.

7 0
2 years ago
Of all the soft drink consumers in a particular sales region, 30% prefer Brand A and 70% prefer Brand
victus00 [196]

Answer:

Option D -0.67

Step-by-step explanation:

Given : Preference of Brand A =30% ⇒ P(A)=\frac{30}{100}=0.3

Preference of Brand B =70% ⇒ P(B)=\frac{70}{100}=0.7

Prefer Brand A and are Female = 20% ⇒ P(A/F)=\frac{20}{100}=0.2

Prefer Brand B and are Female = 40% ⇒ P(B/F)=\frac{40}{100}=0.4

To find : Selected consumer is female, given that the person prefers Brand A P(F/A)

Solution : Using Bayes' theorem, which state that

P(A/B)=\frac{P(B/A)P(A)}{P(B)}

where, P(A) and P(B) are probabilities of observing A and B.

P(B/A)= is a conditional probability where event B occur and A is true

P(A/B)= also a conditional probability where event A occur and B is true.

Now, applying Bayes' theorem,

P(F/A)=\frac{P(A/F)P(A)}{P(B)P(B/F)+P(A)P(A/F)}

P(F/A)=\frac{(0.2)(0.3)}{(0.7)(0.4)+(0.3)(0.2)}

P(F/A)=\frac{0.6}{0.28+0.6}

P(F/A)=\frac{0.6}{0.88}

P(F/A)=0.68

Therefore, Option D is correct probability that a randomly selected consumer is female, given that the person prefers Brand A -0.67

3 0
3 years ago
Read 2 more answers
Part A: Solve -np 70 < 40 for n. Show your work. (4 points)
ololo11 [35]
Part A:

 -np - 70 < 40
                          +70
                   -np < 110
                      -n < 110/p

Part B

      4w-7k=28
-7k=28-4w
7k=4w-28
k=4/7w-4
6 0
3 years ago
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