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
Ber [7]
3 years ago
11

Darrin is hanging 200 feet of Christmas garland on the fencing that encloses his rectangular front yard. The length is 5 feet le

ss than 5 times the width. Find the length and width of the fencing. Give the measurements in decimal form.
Mathematics
1 answer:
Vanyuwa [196]3 years ago
7 0

Answer:

Length = 82.5 feet

Width = 17.5 feet

Step-by-step explanation:

The formula for the Perimeter of a rectangle = 2(Length + Width)

= 2L + 2W

We are told in the question that: Darrin is hanging 200 feet of Christmas garland on the fencing that encloses his rectangular front yard

Hence, The perimeter of the rectangular front yard = 200 feet

200 = 2( L + W).........Equation 1

Also, the length is 5 feet less than 5 times the width

L = 5W - 5

Hence,

200= 2(5W - 5 + W)

200 = 2(5W + W - 5)

200 = 2(6W - 5)

200 = 12W - 10

Collect the like terms

200 + 10 = 12W

210 = 12W

W = 210/12

W = 17.5 feet

Substitute 17.5 for W in Equation 1

200 = 2( L + W).........Equation 1

200 = 2( L + 17.5)

200 = 2L + 35

200 - 35 = 2L

2L = 165

L = 165/2

L = 82.5 feet

Therefore, the Length of the rectangular fence = 82.5 feet while the Width of the rectangular fence is 17.5 feet.

You might be interested in
What does the slope of the line represent?​
Rashid [163]

Answer:

For each hour Cara works, she earns $10.

Step-by-step explanation:

You could see that on the graph that for 5 hours Cara has worked, she earns 50 dollars. The slope would be 50/5. 50/5 is equal to 10/1 through dividing so Cara earns $10 for each hour she works.

6 0
3 years ago
Does the states’ growing dependence on Washington have any bearing on lawmakers’ relationship with the people? Are people today
Hoochie [10]

Answer:YES, PEOPLE ARE LESS LIKELY TO HOLD STATE OFFICIALS RESPONSIBLE FOR SOCIAL PROBLEMS.

Step-by-step explanation:States growing dependence on Washington has effects on lawmakers relationship with the people,since people tend to blame the Federal Government for whatever social problems they have,this will make the people see the State Government as irresponsible and thus lose focus on them.

Since the States are increasingly depending on the Federal Government (Washington), PEOPLE TODAY ARE LESS LIKELY TO HOLD STATE OFFICIALS RESPONSIBLE FOR SOCIAL ILLS/PROBLEMS.

This is the case with most of the developing countries like Nigeria where most of the people tend to blame the Federal Government for most social problems because they know that the States rely solely on the Federal Government.

5 0
3 years ago
Help Please! <br>I need this for a test, you will be deeply appreciated<br>​
Ksivusya [100]

Answer:

b) 48

Step-by-step explanation:

25% is Quartile 1, which can be found on the outer left line on the rectangle. Since Q1 is hovering over 50, it would be safe to assume the answer is 48.

6 0
3 years ago
Read 2 more answers
Which argument is valid?
son4ous [18]
1 - True.  If a number is divisible by 12 it's divisible by 6 and thus by 3

2 - False. A rhombus needn't have square angles

3 - False. the second proposition is unrelated to the first one, and doesn't allow us to deduce that cats have fur.

4 - False - We cannot link the first and second proposition in any way to make the third
8 0
3 years ago
Scott's gas tank is 1/3 full. After he buys 12 gallons of gas, it is 7/9 full. How many gallons can Scott's tank hold?
Bumek [7]

Answer: We start with the variable "x". Let's call "x" Dan's full tank.

So we know that right now he has 1/3x or 1/3 of a full tank.

After adding 12 gallons, at the end, he has 7/9x, or 7/9 of a full tank

So we start with

(1/3)x + 12 = 7/9x

Let's subtract 1/3x from both sides

12 = 7/9x - 1/3x

Remember, we need to use common denominators to subtract, so 1/3 becomes 3/9

12 = 7/9x - 3/9x

Now we simplify to get

12 = 4/9x

Multiply the reciprocal of 4/9 to both sides which is 9/4

12 * 9/4 = x

Answer is 27 gallons.

6 0
2 years ago
Other questions:
  • What is the slope of the line that contains the points (-1, -1) and (3, 15)?
    5·1 answer
  • What is the eighth term of the sequence 2,8,32,128
    6·1 answer
  • -3x = -15 <br> solve for x
    8·1 answer
  • A recipe uses 1/3 cup of flour and 1/8 cup of sugar. how much flour and sugar does the recipe use altogether?
    7·2 answers
  • The lines graphed below are perpendicular. The slop of the red line is -1/3. What is the slope of the green line
    5·1 answer
  • What visualization tool can help you explore the relationship between two variables, say x and y? select one:
    12·1 answer
  • Use the Distributive property to find the product 16 × 2 1/2
    13·2 answers
  • 2/3 of a class are girls
    12·1 answer
  • -<br> Which table represents y as a function of x?<br> ~" M'L help
    15·1 answer
  • Simply the expression by combining like terms.<br> 9x + 8 + 3x +4=
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!