answer.
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
Westkost
3 months ago
7

The perimeter of a rectangle is 202. The length is 26 more than 4 times the width. Find the dimensions

Mathematics
1 answer:
Inessa [12.5K]3 months ago
6 0

Answer:

P = 2*(26+4y) + 4y

Upon solving for y, we find:

202= 52 +8y +4y

202= 52 +12 y

By substitution, we have:

150 = 12y

Thus, we arrive at:

y = \frac{150}{12}= 12.5

And for x, we determine:

x = 26 +4*12.5 = 76

This gives us a length of 76 and a width of 12.5.

Step-by-step explanation:

We are dealing with a rectangle. The formula for the perimeter is:

P= 2x+2y

Here, x denotes the length and y the width. The following conditions can be established:

x = 26 +4y

Substituting these values yields:

P = 2*(26+4y) + 4y

When we solve for y, we find:

202= 52 +8y +4y

202= 52 +12 y

By substitution, we obtain:

150 = 12y

Thus, we conclude:

y = \frac{150}{12}= 12.5

The length is found to be 76, while the width measures 12.5.

You might be interested in
A survey found that 50% of teenagers prefer to watch a movie at a theater over other viewing options. You want to know the estim
Svet_ta [12734]

Answer:

1. Conduct four flips of a fair coin; heads will stand for teenagers who like to watch films in theaters, while tails represent those who prefer otherwise.

2. Draw four cards from a standard deck, where red suits indicate those who enjoy going to theaters for movies, and black suits indicate the opposite.

4. Roll a six-sided die four times; even numbers will denote teenagers who favor theater viewings, while odd numbers will denote those who do not.

Step-by-step explanation:

The procedure involves repeating an action four times, each time presenting a 50/50 probability.

To elaborate on point 1, the flipping of the coin occurs four times, with a fair coin presenting each outcome with equal chances.

For point 2, drawing four cards allows for a balanced chance of pulling either a red or black card from the deck.

Point 3 inaccurately states performing the action three times, so it is incorrect.

In point 4, rolling the die four times also adheres to a 50/50 ratio for even versus odd outcomes.

Point 5 is incorrect because the range of 0-5 consists of six figures, while 6-9 includes only four, failing to create a balanced 50/50 scenario.

6 0
2 months ago
Tim wants to build a rectangular fence around his yard. He has 42
zzz [12365]
I believe the answer is D.
5 0
2 months ago
Read 2 more answers
Nik needs to estimate how many books will fit in a bin. Each book is 1 ft tall, 0.5 ft wide, and 0.1 ft thick. The bin is 5 feet
lawyer [12517]

Answer:

600 books

Step-by-step explanation:

The dimensions of the bin are

5 by 2 by 3

The volume of the bin is found by multiplying these three dimensions.

Volume of Bin = 5 * 2 * 3 = 30 cubic feet

To find the volume of each book, we use the same method. The dimensions of one book are:

1 by 0.5 by 0.1

Volume of 1 book = 1 * 0.5 * 0.1 = 0.05 cubic feet

The total number of books fitting into the bin is calculated by:

30/0.05 = 600 books

6 0
3 months ago
Other questions:
  • N the diagram below, points $A,$ $E,$ and $F$ lie on the same line. If $ABCDE$ is a regular pentagon, and $\angle EFD=90^\circ$,
    13·1 answer
  • An employee receives a pay increase from $35,000 per year to $37,500 per year. Calculate the percent increase. Round to the near
    15·2 answers
  • Aidan is participating in an 8 mile walk for his favorite charity. The organizers used a coordinate grid to plot the course. The
    5·1 answer
  • Wyatt is going to a carnival that has games and rides. Each game costs $1.25 and each ride costs $2.75. Wyatt spent $20.25 altog
    10·1 answer
  • 2 tables. Table 1 is titled Population data with entries 2, 4, 8, 5, 1, 1, 10, 5, 4, 2, 3, 3. Table 2 is titled Sample data with
    13·1 answer
  • How much will Kasey pay in Medicare if she makes $42,300 next year? $613.35 $2,678.40 $3,291.75 $4,320.00
    8·1 answer
  • The probability of a golden retriever catching a tennis ball in mid-air is 74%. Find the probability that a golden retriever cat
    8·1 answer
  • Arc AB is One-sixth of the circumference of a circle. What is the radian measure of the central angle? StartFraction pi over 6 E
    10·2 answers
  • Each morning darnell does a combination of aerobics and stretching exercises. the exercises burn different amounts of calories p
    7·1 answer
  • The school cafeteria has 4 rows of tables each row has 22 seats. The school patio has 12 tables. Each table seats 4 students. Ho
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!