Find the number n that fits all of the conditions

The length of a rectangle is 3 more inches than the width. Find the length and width of the rectangle is the perimeter of the re

n200080 [17]

Part A:

Let the width of the rectangle be = x inches

As given, the length of a rectangle is 3 more inches than the width so let the length of the rectangle be = x+3 inches

Perimeter is given as = 54 inches

Perimeter = $2(l+b)$

Equation becomes:

$2(x+3+x)$ =54

$2(2x+3)=54$

Part B:

Solving the equation we get

$4x+6=54$

$4x=54-6$

$4x=48$

$x=12$

Hence, the width of the rectangle is 12 inches

Length = x+3 = 12+3 = 15 inches

Hence, length of the rectangle is 15 inches.

5 0

3 years ago

3. Which value of x makes the equation 3.5(2x - 4) = 21 true

Grace [21]

Answer:

5

Step-by-step explanation:

7 0

2 years ago

A. A group of twelve art students are visiting a local art museum for a field trip. The total cost of admission for the students

Shalnov [3]

Answer:

a) $10.42

b) 11 trips

c) 10 cookies

d) 12/125ths of a cheesecake (or 9.6%)

Step-by-step explanation:

a)

Let x = the cost of admission for each student

Let y = the total cost of admission

⇒ y = 12x

⇒ 125 = 12x

⇒ x = 125 ÷ 12

⇒ x = 10.42

So the cost of admission for each student = $10.42

b)

Let x = the number of trips

Let y = the total number of passengers

⇒ y = 12x

⇒ 125 = 12x

⇒ x = 125 ÷ 12

⇒ x = 10.42

Therefore, the van must make 11 trips in order to bring 125 passengers to the same location. (If it took 10 trips, then it would only bring 120 passengers, hence why we have to round make 11 trips to bring the last 5 passengers).

c)

Let x = the number of cookies each neighbor will receive

Let y = the total number of baked cookies

⇒ y = 12x

⇒ 125 = 12x

⇒ x = 125 ÷ 12

⇒ x = 10.42

Therefore, each neighbor will receive 10 cookies (we have to round it down, as if each neighbor received 11 cookies, we would need 132 in total).

d)

Let x = the number of cheesecakes purchased

Let y = the amount of cheescake each guest will receive

⇒ y = 125x

⇒ 12 = 125x

⇒ x = 12 ÷ 125

⇒ x = 12/125 = 0.096 = 9.6%

Therefore, each guest will receive 12/125ths of a cheesecake (or 9.6%).

6 0

2 years ago

(3.2 x 8.1) + (3.2 x 1.9)=<br> x<br> (8.1 + 1.9)

marin [14]

Answer:

oh god i uh-

Step-by-step explanation:

7 0

3 years ago

A television network is deciding whether or not to give its newest television show a spot during prime viewing time at night. If

Alinara [238K]

Answer:

Test statistic z= 1.708

Step-by-step explanation:

given that a television network is deciding whether or not to give its newest television show a spot during prime viewing time at night. If this is to happen, it will have to move one of its most viewed shows to another slot.

Sample size n = 827

Sample proportion p = $\frac{438}{827} \\=0.5297$

$H_0: p =0.5\\H_a: p >0.5$

(right tailed test)

This is because they would be interested if more than half viewers are ready for the change

Test statistic = Z = p difference/std error

p difference = 0.0297

Std error = $\sqrt{\frac{pq}{n} } \\=\sqrt{\frac{0.5*0.5}{827} } \\=0.0174$

Z =1.708

p valu e= 0.9562

Since p >0.05 we fail to reject H0

Test statistic z= 1.708

8 0

3 years ago