Problem 2: The perimeter of the UNC Chapel Hill basketball court is 100 meters and the
length is 16 meters more than the width. What are the dimensions?

Answers

Answer 1

Given parameters:

Perimeter of the court = 100m

Unknown:

Dimensions = ?

Solution:

let the width = w

Length is 16m more;

          Length = w + 16

Perimeter  = 2(L + w)

        100 = 2 (w + 16 +  w)

         100 = 2(2w + 16)

          100 = 4w + 32

              4w = 100 -32

               4w = 68

                   w = 17

So, length = w + 16  = 17 + 16 = 33m

The dimensions of the court are length 33m and width 17m

       


Related Questions

given that 5x - 8y = 29 find y when x = -1 give your answer as an improper fraction​

Answers

Answer with step-by-step explanation:

If x = -1, we can re-write the equation as -5 - 8y = 29.

Step 1: Simplify both sides of the equation.

-5 - 8y = 29

-5 + (-8y) = 29

-8y - 5 = 29

Step 2: Add 5 to both sides.

-8y - 5 + 5 = 29 + 5

-8y = 34

Step 3: Divide both sides by -8.

-8y/-8 = 34/-8

y = -17/4

Hope this helped! (brainliest please)

[2(x+10)] (3x-30) what is the value of x

Answers

Answer:

x = 50

Step-by-step explanation:

what is the expression in from 4^n

Answers

Answer:    14n or (14×n)

Step-by-step explanation:

4^-2

Because when you are multiplying numbers with the same base, you add the exponents together

Help please!!! as part of a summer job, you stack crates. the crates have the same length and width but have heights of 1 or 2 feet. using a forklift, you can stack the crates 8 feet high. if you stacked 3 of the 2-foot crates how many of the 1-foot crates were in the stack?

Answers

Anwer:

You can stack 2 more 1-foot crates. 3 2-foot crates would take 6 of the 8 feet. 8 minus 6 will equal 2.

Step-by-step explanation:

Answer:

Hello

Step-by-step explanation:

I have no clue, working on same problem.

PLEASE SOMEONE HELP ME ASAP!!! I’ll make you BRAINLIEST!!!!

Write y=2x^2+24x+47 in vertex form. Also please explain/write the steps thanks.

Answers

Answer:

y=(2x^2+24x)+25

y=2x(x^2+12x)+25

y=2x(x^2+12x+36)+25-2x(36)

Y=2x(x+6)^2+25-72

Y=2x(X+6)^2-47

Step-by-step explanation:

sorry it was late

Answer: y=2(x+6)²-5

Step-by-step explanation: First you find the coefficient of x^2, which is 2, then take out 2 as a factor, 24/2 which will equal to 12. After that do 47 divided by 2  if you calculate that it will equal to 23.5.  y=2(x²-12+23.5)  y =2(x²-12x+23.5)

Next Step: Figure out the coefficient of x. To make it easier,look what is in front of x as you can see it is 12. Then you divide 12/2 which is 6. Then square 6, which is 36. Then you add and subtract 36. To write the first three terms as a square, you do ( x+6)^2. Then do -36 + 23.5 if you calculate that it will get you wil get -12.5 . Now that you have calculated that distribute 2, then do 2 times -12.5 which is -12.5. This is how it shoud look like y=2(x+6)² -12.5.  

The following triangles are congruent because ?

Answers

Answer:

Step-by-step explanation:

The triangles are congruent because they are the same shape, size, and angle measure. The lines on the angles show that two angles have the same measure. The line on the line segments shows that it hads the same length.

Slope of 4/5 help please

Answers

Answer:

I dont understand

Step-by-step explanation:

Name an irrational number ( in radical form ) located between 7 and 8. Explain your answer.

Answers

Answer:

[tex]\sqrt{59}[/tex]

Step-by-step explanation:

7^2 is 49 and 8^2 is 64, which means the square root of any number between 49 and 64 (exclusive) will be in between 7 and 8, and it's also going to be irrational, because it's not a perfect square.

One number between 49 and 64 is 59, so [tex]\sqrt{59}[/tex] is an irrational number between 7 and 8

what is the inequality for A number t multiplied by −4 is at least −25.

Answers

Answer:

6

25

Step-by-step explanation:

divide. -25by -4 then the answer is that

Goofy Golf ticket prices for kids under 12 years of age increased from $4.00 to $6.00 this year. What is the percent of increase in the tickets?

A. 60%
B. 50%
C. 40%

Answers

Answer C

Step-by-step explanation:

Please answer correctly !!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!

Answers

Answer:

30 bro cmon

Step-by-step explanation:

it's acute so the smallest would make sense cmon bruh u better than that

The sum of 36.4 and a number is 39.21, as shown below. What number should go in the box to complete the addition problem?

Answers

Answer:

The answer would be 2.

Step-by-step explanation:

U just subtract 39.21 -36.4= 2.81

Please help me. I don’t know which phone contract is better.


I am going to change my phone contract. The monthly contract I am considering costs $30 per month with 75 minutes of free calls and 100 free text messages. Additional calls cost 10¢ per minute and additional text messages 10¢ each. An alternative is ‘Pay as you go’ which has no monthly charge but all calls cost 30¢ per minute and texts cost 10¢ each. I typically make 100 minutes of calls and 60 text messages each month. Which would be the better contract for me and by how much?

Answers

Answer:

the monthly contract seems pretty good

Step-by-step explanation:

why pay 30 cent or 10 cent per min when you can just pay monthly cause eventually you going to be paying the same amount . hope this helpsssssss. brainliest:)

Find the quotient. 3 divided by 1/9
please help

Answers

Answer:

             27

Step-by-step explanation:

[tex]3\div\frac19=3\times\frac91=3\times9=27[/tex]

Which number has 2 as a factor

Answers

Answer: 2 and 1 are the only factors

Step-by-step explanation: The definition of factor is the numbers that can be multiplied to get the said number. In this case the said number is 2. The only numbers that multiply to get 2 are 2 and 1.

need help ........................

Answers

Answer:

m=0.833333

Step-by-step explanation:

(1/16)−3m+1=64

log((1/16)−3m+1)=log(64)

(Take log of both sides)

(−3m+1)*(log(1/16))=log(64)

−3m+1=log(64)

log(1/16)

−3m+1=−1.5

−3m+1−1=−1.5−1

(Subtract 1 from both sides)

−3m=−2.5

−3m

−3

=

−2.5

−3

(Divide both sides by -3)

which relation is not a function?
A) (1,2)(2,10)(4,5)
b) (-3,5)(3,5)(5,6)
c) (3,6)(6,3)(3,2)
d) (1,6)(-1,6)(2,2)​

Answers

C bc it has two of the same x values

Answer:

Step-by-step explanation: f

144.144 in word form

Answers

Answer:

one hundred forty-four thousands And one hundred forty-four thousandths

Step-by-step explanation:

If f(x)=3x-1 and g(x)=x+2, find (f+g)(x)

Answers

Answer:

4x+1

Step-by-step explanation:

CORRECT ANSWER WILL GET BRAINLIEST!!!!

Answers

Answer: The answer is B. x=125

Step-by-step explanation: Brainliest plz :)

Kylie volunteers at the library shelving books. Today, she is arranging a new children's book
section. The library has 683 children's books to place on 14 shelves. Any books left over can be
displayed in the readers' corner. How many books will Kylie place in the readers' corner? Show
your work!

Answers

Answer:

There will be 7 books Kylie will place in the readers' corner.

Step-by-step explanation:

683 divided by 14 is 48.7......

The remainder will be 7.

~~Hope this helps~~~ :)

6. A group of students was given the following to simplify: 3x+7. Brian believes that this expression simplifies to 10x because you add the 3 and 7 together and bring the x. Lindanes believes that this expression simplifies to 10 because you add the 3 and 7 and drop the x. Marcos believes that this expression simplifies to 3x+7 because you cannot combine the two terms. Jasmine believes that this expression simplifies to 21x because you multiply 3 and 7 and bring the x. Which student is correct?

Answers

Marcos is correct because 3x is not a like term to 7, since you cannot add them it’s already in its most simplified form and stays as 3x + 7.

I need help!!! Someone please help

Answers

Answer:

See below

Step-by-step explanation:

According to the graph the answers are

1. Slope is 2

(1 - (-1))/(0 - (-1)) = 2/1 = 2

2. y - intercept is 1

point (0, 1)

3. Slope- intercept formula

y = 2x + 1

Mario volunteered 1,386 minutes each month for 36 months. How many minutes did Mario volunteer in total???

Answers

Answer: 49,896
1,386 * 36

Answer:

49,860

Step-by-step explanation:

Mario volunteered 49,860 in total.

Describe in words a sequence of transformations that maps ABC to A'B'C'

Answers

Answer:

First is a 90Âş rotation (counter-clockwise) with respect to the origin. Next is a horizontal transformation of +2 units. Transformation one is (x, y) -> (-y, x) Transformation two is (x, y) -> (x + 2, y)

Step-by-step explanation:

Ostons

3,16 me

pies

1. The Cozy Inn wants to

gather information

about customer

satisfaction

concerning the

cleanliness of its

rooms upon check-in

This Inn has 100

rooms, and the

manager decides to

start with the first room

and place surveys in

this room and every 5th

room thereafter (room

6, room 11. room 16,

etc.)

Answers

Complete question :

The Cozy Inn wants to gather information about customer satisfaction concerning the cleanliness of its rooms upon check-in. This Inn has 100 rooms, and the manager decides to start with the first room and place surveys in this room and every 5th room thereafter (room 6, room 11. room 16, etc.). This is an example of a :

Answer: Systematic sampling

Step-by-step explanation: Systematic sampling usually takes an ordered technique or process in dealing with samples. Systematic sampling could assume a randomized start point in selecting observations, However, every other successive points usually follow a fixed order or selection process. In the scenario above, the manager sampling choice involves an ordered and fixed selection process whereby every fifth sample after the initial point is considered. Hence, resulting in predictable points, such as 6th, 11th, 16th, 21st, 26th, 31st,...and so on.

PLS HELP OMG ITS DUE !!!

Answers

The false statement is B.
False statement is B

In the figure, m<7 = 100. Find the measure of <9.

Answers

As < 7 and angle < 9 are alternate interior angles, their sum will be equal .

Which means :-

[tex] < \: 7 = < \: 9[/tex]

[tex] < 9 = 100°[/tex]

Therefore , the value of <9 is 100° .

The magnitude of ∠9 will be same as that of ∠7 which is equal to 100°.

What are parallel lines?

Two or more lines that lie in the same plane, equidistant from each other and never intersect each other are known as parallel lines.

Given is ∠7 = 100°.

The lines u and t are parallel to each other. The alternate interior angles are equal in magnitude. From the figure it is clear that ∠7 and ∠9 are alternate interior angles. Therefore, we can say that ∠7 = ∠9 = 100°.

Therefore, the magnitude of ∠9 will be same as that of ∠7 which is equal to 100°.

To solve more questions on Angle Relationship, visit the link below-

brainly.com/question/16603400

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What do the zero exponent and negative exponents properties mean

Answers

In other words, if you raise a nonzero number to the power of
0
,
the result is
1.

Mathematicians debate the value of
0
0
.
Some say it's
1
,
and some say it's undefined.

Here are some examples of the Zero Power Rule. Notice it works for numbers and for variables.

1
0
=
1
(
153
+
x
)
0
=
1
,
if
x


153
(
x
+
y
+
z
)
0
=
1
,
if
x
+
y
+
z

0

So when
a

0
,
why does
a
0
=
1
?
Why does the Zero Power Rule hold? Here's one way to think about it:
a
0
=
a
n

n
Then, by the quotient rule for exponents, we can write this as:
a
n

n
=
a
n
a
n

Then this becomes a problem about dividing fractions. Since the numerator and the denominator are both the same this becomes
1
.
a
n
a
n
=
1


A negative exponent means how many times to divided by the number

One number is 14 more than another number. Their sum is 58. Find the numbers.

Answers

the answer is 17
short answer

Numbers are 36, 22

What is an equation?

An equation is a mathematical expression that contains an equals symbol. Equations often contain algebra. Algebra is used in mathematics when you do not know the exact number in a calculation.

Given

One number is 14 more than another and their sum is 58.

Let one number be x

Another number will be x + 14

Rewriting the equation in mathematical form

⇒ [tex]n+ (n+4) =58[/tex]

⇒ [tex]2n +14 =58[/tex]

⇒ [tex]2n = 58-14[/tex]

⇒ [tex]2n=44[/tex]

⇒ [tex]n= \frac{44}{2}[/tex]

⇒ [tex]n=22[/tex]

⇒ [tex]n+14=22+14=36[/tex]

Hence, numbers are 36, 22

Find out more information about equation here

https://brainly.com/question/2263981

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