1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Whitepunk [10]
2 years ago
10

The perimeter of a rectangular wooden deck is 90 feet.The deck's length is ,I, is 5 less than 4 times it's width, w.Which system

of linear equations can be used to determine the dimensions, in feet ,of the wooden deck?
Mathematics
1 answer:
nydimaria [60]2 years ago
3 0

Answer: The system of linear equations are

L + W = 45

L = 4W - 5

Step-by-step explanation:

Let L represent the length of the deck.

Let W represent the width of the deck.

The formula for determining the perimeter of a rectangle is expressed as

Perimeter = 2( length + width)

The perimeter of a rectangular wooden deck is 90 feet. This would be expressed as

90 = 2(L + W)

Dividing through by 2

L + W = 45

The deck's length,L is 5 less than 4 times its width, W. This is expressed as

L = 4W - 5

You might be interested in
A school debate team has 4 girls and 6 boys. A total of 3 of the team members will be chosen to participate in the district deba
mariarad [96]
There are 4+6=10 people in the team.
First calculate in how many ways you can choose 3 people from a group of 10 people, using combination:
(^{10} _3)=\frac{10!}{3!(10-3)!}=\frac{10!}{3! \times 7!}=\frac{7! \times 8 \times 9 \times 10}{6 \times 7!}=\frac{8 \times 9 \times 10}{6}=\frac{720}{6}=120
You can choose 3 people in 120 ways.

You can select 1 girl from a group of 4 girls in 4 ways.
Calculate in how many ways you can choose 2 boys from a group of 6 boys:
(^6 _2)=\frac{6!}{2! (6-2)!}=\frac{6!}{2! \times 4!}=\frac{4! \times 5 \times 6}{2 \times 4!}=\frac{5 \times 6}{2}=\frac{30}{2}=15
You can choose 2 boys in 15 ways.
Using the rule of product, you can calculate that you can choose 1 girl and 2 boys in 4×15=60 ways.

The probability of choosing 1 girl and 2 boys is the number of ways you can choose 1 girl and 2 boys divided by the number of ways you can choose 3 people from the group.
 P=\frac{60}{120}=\frac{1}{2}=50\%

The probability is 1/2, or 50%.
4 0
3 years ago
–8(x – 4) - (12x – 8)
nlexa [21]

Answer:

-20x+128

Step-by-step explanation:

–8(x – 4) - (12x – 8)

distribute: -8x+32-12x+96

combine like terms

-20x+128

5 0
3 years ago
Find how many two digit numbers are divisible by 3
Bad White [126]

I'll use arithmetic series to find it.

First two-digit number divisible by 3 is 12, last such number is 99. Every 3rd number is divisible by 3.

So,

a_1=12\\a_n=99\\d=3\\n=?\\\\a_n=a_1+(n-1)\cdot d\\99=12+(n-1)\cdot 3\\3n-3=87\\3n=90\\n=30

<u>There are 30 such numbers.</u>

7 0
3 years ago
Can anyone pls help me with this question ?
bagirrra123 [75]

Answer:

B

Step-by-step explanation:

When the function is less than but equal to and it's opposite are always solid dots. By this you can do simple process of elimination.

6 0
3 years ago
Two questions in one.
s2008m [1.1K]
Question 1: 4.375/10 of an hour (or 26.25 minutes)
4 0
2 years ago
Other questions:
  • One chicken needs 1/3 cups of chicken. If Ryan makes 7 quesadillas, how many cups of chicken does he need?
    9·1 answer
  • 60 degrees<br> 40 degrees<br> 130 degrees<br> 120 degrees
    7·2 answers
  • a patient receives 150 cc of medication in an IV drip over 4 hours.What is the rate per hour of this dose
    15·1 answer
  • Pls help! uwu
    9·2 answers
  • 50 POINTS The line contains the point (-8,7) and is perpendicular to 3x+2y=-7 The equation of the line is:
    15·1 answer
  • Aaden wants to get a subscription to an online library. There are two subscription options, one of which charges a fixed 96 doll
    13·1 answer
  • Mary has 55 pens. Frazer<br>has 12 pens. What is the<br>difference?*<br><br>43<br><br>60<br><br>67​
    6·1 answer
  • Please only answer this if ur not just guessing.
    11·2 answers
  • A function has zeros at -5, 1, and 3.,
    7·1 answer
  • Test algebraically whether f(x) = 1 is even, odd, or<br> neither even nor odd.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!