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Zanzabum
3 years ago
10

The length of a rectangle is 4 cm less than twice the width. Express as an integer the maximum width of the rectangle when the p

erimeter is less than 72 cm.
helppppp
Mathematics
1 answer:
Paladinen [302]3 years ago
7 0
Let, the width = x
length = 2x - 4

Perimeter = 2(l+w)
Substitute their values, 
72 = 2(x+2x-4)
72 = 2(3x-4)
6x - 8 = 72
6x = 80
x = 80/6
x = 13.3

In short, Your Answer would be 13.33 cm

Hope this helps!
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Lisa and Krystal are planning trips to ten countries this year. They have 14 countries on their bucket list, in how many ways ca
Salsk061 [2.6K]

Answer:

1,001 ways for them to decide.

Step-by-step explanation:

The order in which they will visit the countries is not important, so we use the combinations formula to solve this question.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

In this question:

10 countries from a set of 14. So

C_{14,10} = \frac{14!}{10!(14-10)!} = 1001

1,001 ways for them to decide.

8 0
3 years ago
Use the distributive property to remove the parentheses. -6(5y-2u-3)
olga55 [171]
<h2>Answer: -30y + 12u + 18 </h2>

<h3>Step-by-step explanation:</h3>

    <em> by multiplying each term in the parentheses by the term outside</em>

-6(5y-2u-3) = (-6 × 5y) + (-6 × - 2u) + (-6 × -3)

                   = -30y + 12u + 18

7 0
3 years ago
A class consists of 1/2 freshmen, 1/8 sophomores, and 1/8 juniors; the rest are seniors. What fraction of the class is seniors?
Firlakuza [10]

Answer:

2/8

Step-by-step explanation:

freshman=4/8

1/8 soph    1/8 jr

add all together u get 6/8

the rest is seniors so its 2/8

8 0
3 years ago
Simplify.<br> Rewrite the expression in the form 4^n<br> (4^6)(4^-8) =
stiks02 [169]

Answer:

  4^-2

Step-by-step explanation:

The rules of exponents tell you ...

  (a^b)(a^c) = a^(b+c)

This means ...

  (4^6)(4^-8) = 4^(6-8) = 4^-2

7 0
3 years ago
Katie is biking to the beach. The graph gives her distance from the beach x hours after she began riding.
Burka [1]

Answer:

1. Distance from Katie's House to the beach = 75 km

2. Hours that it takes to get to the beach = 6 hrs

3. -12.5 which tells us the rate at which katie traveled which was 12.5 km per hour

Steps to 3.

Rise/Run = -75/6 = -12.5 = slope

3 0
4 years ago
Read 2 more answers
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