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
iren [92.7K]
3 years ago
7

A rectangular yard is X feet wide. The yard is 4 feet longer than it is wide. The perimeter P of yard is given by the equation P

= 4x + 8. If the perimeter of the yard is 84 feet how long is the yard?
A. 19 feet
B. 23 feet
C. 24 feet
D. 28 feet
Mathematics
1 answer:
vladimir2022 [97]3 years ago
6 0

Given:

Width of the rectangular yard = x feet

Length of the rectangular yard = x+4 feet

Perimeter of the rectangular yard is:

P=4x+8

Perimeter of the yard = 84 feet

To find:

The length of the rectangular yard.

Solution:

Perimeter of the yard is 84 feet.

4x+8=84

4x=84-8

4x=76

Divide both sides by 4.

x=\dfrac{76}{4}

x=19

So, the width of the rectangular yard is 19 feet.

Length = 19+4

Length = 23

The length of the rectangular field is 23 feet.

Therefore, the correct option is B.

You might be interested in
In a survey of first graders, their mean height was 51.6 inches with a standard deviation of 3.6 inches. Assuming the heights ar
ki77a [65]

Answer:

Step-by-step explanation:

In a survey of first graders, their mean height was 51.6 inches with a standard deviation of 3.6 inches. Assuming the heights are normally distributed, what height represents the first quartile of these students?

54.03 inches

48.57 inches

48.00 inches

49.17 inches

6 0
2 years ago
2. Suppose the temperature that most foods can stay bacteria free in restaurants varies approximately according to a normal dist
vagabundo [1.1K]

Answer:

28.4

Step-by-step explanation:

Given that:

Mean, m = 31.3

Standard deviation, s = 2.8

Since, data is normally distributed :

P(x < 0.15) gives a Z value of - 1.036

Using the Zscore formula :

Z = (x - mean) / standard deviation

-1.036 = (x - 31.3) / 2.8

-1.036 * 2.8 = x - 31.3

-2.9008 = x - 31.3

-2.9008 + 31.3 = x

28.3992 = x

The temperature which correlates to the bottom 15% of the distribution is 28.4

7 0
2 years ago
EZ POINTSS!! I WILL GIVE BRAINLIEST!! All you have to do is compete with the other person about what my favorite color is. The w
Luba_88 [7]

Answer: red

Step-by-step explanation: that’s mine

7 0
3 years ago
Read 2 more answers
Bags of sugar come in 3 sizes. Small bag: A 175 g bag costs 45p. Medium bag: A 420 g bag costs £1.13. Large bag: A 1.2 kg bag co
kotegsom [21]

Answer:

a 3.889

b 3.735

c 4.013

Step-by-step explanation:

a. 45p is 0  175/45=3.889

b  420/113= 3.735

c1.2kg= 1200g /299 =4.013

/ means divide

4 0
3 years ago
Which transformations can be used to carry ABCD onto itself? The point of
dmitriy555 [2]

Answer:

A and B

Step-by-step explanation:

For A, y=2 is the axis of vertical symmetry, meaning a reflection would map the shape onto itself.

For B, x=3 is the axis of horizontal symmetry, meaning a reflection would map the shape onto itself.

For C, a rotation of 90 degrees would make the shape taller vertically and shorter horizontally, therefore it would be wrong.

For D, a translation two units down would move all points down, even though some would need to go up, therefore it would be wrong.

7 0
3 years ago
Other questions:
  • Two points -5.2 and 4.8 are on a number line. What is the distance, to the nearest tenth, between these two points?
    13·1 answer
  • Alex is saving money because she would like to purchase the new video gaming system they everyone has been talking about after 2
    11·1 answer
  • Sarah bought a 20oz can of tomato sauce for $25.40.What is the unit Price per ounce
    7·2 answers
  • If the standard volume of a
    9·1 answer
  • Skyler paid 8.95 for 5 pounds of nectarines. What is the unit rate?
    5·1 answer
  • Please help lots a points! Parallelogram ABCD is dilated to form parallelogram EFGH. Side BC is proportional to side CD. Which c
    5·1 answer
  • Please answer if possible
    11·1 answer
  • Find the value of x. PLEASE HELP ASAPPPPPP
    10·1 answer
  • The area of a rectangular concrete patio is 70 square meters. It is 10 meters long. How wide is it?
    7·1 answer
  • 2/5 of a kiddy pool was filled with water. After pouring out 5/7
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!