The perimeter of a chalkboard is 16 feet. The area is 15 square feet. What are the dimensions of the board

Answers

Answer 1

Answer:

5 by 3

Explanation:

15 = 5 x 3

16 = 5 + 5 + 3 + 3

Answer 2

The dimensions of the board is either 5 by 3 square inches or 3 by 5 square inches.

What is a rectangle?

The rectangle is 4 sided geometric shape whose opposites are equal in lengths and all angles are about 90°.

here,
let the length of the board be x, and width be w,
The perimeter of the rectangle board  = 16
2 (l + w) = 16
l + w = 8
l = 8 - w

Now,
area of the board = 15
l × w = 15
(8 - w)w = 15
8w - w² = 15
w² -8w + 15 =0
(w - 3)(w -5) = 0
So,
w = 3 or 5
Now,
Lengths = 8 - 3 or 8 - 5
              =  5 or 3

Thus, the dimension of the board either 5 by 3 square inches or 3 by 5 square inches.

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Related Questions

Question
What is the factored form of this polynomial?
p(x) = x + 7x2 + 4x - 12

Answers

Answer:

^(3)+7x^(2)+4x-12

Step-by-step explanation:

Answer:

p(x) = (x-1)(x+2)(x+6)

Step-by-step explanation:

Simplify the following expression: (16x^4)^1/4 * 2x^6​

Answers

Answer:

[tex] 4 {x}^{7}[/tex]

Step-by-step explanation:

[tex] \bigg(16 {x}^{4} \bigg)^{ \frac{1}{4} } \ast2 {x}^{6} \\ = \bigg( {2}^{4} {x}^{4} \bigg)^{ \frac{1}{4} } \ast2 {x}^{6} \\ = {2}^{4 \times ^{ \frac{1}{4} }} {x}^{4 \times ^{ \frac{1}{4} }} \ast2 {x}^{6} \\ =2x \ast \: 2 {x}^{6} \\ = 2 \times 2 \times x \times {x}^{6} \\ {2}^{1 + 1} \times {x}^{1 + 6} \\ = {2}^{2} \times {x}^{7} \\ = 4 {x}^{7} \\ [/tex]

There are only red, blue and green counters in a bag.
There are 6 red counters.
There are 4 blue counters.
There are 8 green counters.
Matt takes a counter at random from the bag.
a)
What is the probability that the counter is red?
Give your answer as a fraction.

Answers

6/18 > 1/3 because 6 out of 18 are red

1,3,9,27 what are the next 5 numbers?
and what is the nth term
please show working out

Answers

Answer:

Step-by-step explanation:

Answer:

81, 243, 729, 2187, 6561

Step-by-step explanation:

Note that the

third term 9 = 3²

fourth term 27 = 3³

Thus to obtain a particular term in the sequence we require the exponent to be one less than the terms position n in the sequence, that is

[tex]a_{n}[/tex] = [tex]3^{n-1}[/tex] , thus

first term 1 → [tex]3^{1-1}[/tex] = [tex]3^{0}[/tex] = 1

The next 5 terms in the sequence are

[tex]a_{5}[/tex] = [tex]3^{5-1}[/tex] = [tex]3^{4}[/tex] = 81

[tex]a_{6}[/tex] = [tex]3^{6-1}[/tex] = [tex]3^{5}[/tex] = 243

[tex]a_{7}[/tex] = [tex]3^{7-1}[/tex] = [tex]3^{6}[/tex] = 729

[tex]a_{8}[/tex] = [tex]3^{8-1}[/tex] = [tex]3^{7}[/tex] = 2187

[tex]a_{9}[/tex] = [tex]3^{9-1}[/tex] = [tex]3^{8}[/tex] = 6561

- 3(5x – 4y + 2) - 6x + 10
Combine like terms

Answers

Answer:

=−21x+12y+4

Step-by-step explanation:

Distribute:

=(−3)(5x)+(−3)(−4y)+(−3)(2)+−6x+10

=−15x+12y+−6+−6x+10

Combine Like Terms:

=−15x+12y+−6+−6x+10

=(−15x+−6x)+(12y)+(−6+10)

=−21x+12y+4

-12x+12y+4 this should be correct

I'm so dumbbbbbbbbbb​

Answers

Answer:

3 3/8 cups of flour

Step-by-step explanation:

So, we know that 2 1/4 is the normal amount of flour you would use in the recipe. but you don't want to do normal. You want to make 1 1/2 times more than you usually do.

To do this, first figure out what half of 2 1/4 is.

(2 1/4) /2 = 1 1/8

Then, because you are looking to use 1 1/2 times more flour, simply add the 1 1/8 to the 2 1/4

You end up using 3 3/8 cups of flour.

Subtract. (8y + y2 + 7y + 9) - (y2 + 3)​

Answers

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{15y + 6}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{(8y + {y}^{2} + 7y + 9) - ( {y}^{2} + 3)}[/tex]

When there is a ( - ) in front of an expression in parentheses, change the sign of each term

[tex] \dashrightarrow \sf{8y + {y}^{2} + 7y + 9 - {y}^{2} - 3}[/tex]

Since two opposites add up to zero, remove them from the expression

[tex] \dashrightarrow{ \sf{8y + 7y + 9 - 3}}[/tex]

Add the like terms : 8y and 7y

[tex] \dashrightarrow{ \sf{15y + 9 - 3}}[/tex]

The negative and positive integers are always subtracted but posses the sign of the bigger integer

[tex] \longrightarrow{ \sf{15y + 6}}[/tex]

Hope I helped!

Best regards! :D

What is the correct translation or 3 units to the left and 2 units up? If you
start at point (-9,3)

Answers

Answer:

-12, 5

Step-by-step explanation:

move 3 units up and 2 units left on a graph

What is 144.8 divided by 4

Answers

Answer:

36.2

Step-by-step explanation:

144.8/4 = 36.2

The answer is 36.2 when 144.8 divided by 4.

What are Arithmetic operations?

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.

The operator that performs the arithmetic operation is called the arithmetic operator.

Operators which let do a basic mathematical calculation

+ Addition operation: Adds values on either side of the operator.

For example 12 + 2 = 14

- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.

for example 12 -2 = 10

* Multiplication operation: Multiplies values on either side of the operator

For example 12*2 = 24

/ Division operation: Divides left-hand operand by right-hand operand

For example 12/2 = 6

Given that digit as :

If the denominator is 144.8, the numerator can be taken as 4, so the fraction would become as:

⇒ 144.8/4

⇒ 36.2

Hence, the answer is 36.2 when 144.8 divided by 4.

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7. Sue babysits for 2 hours every Friday night and earns $18 each time.
a. Use proportional reasoning to complete the table below.
Time (hr) Earnings ($)
0
1
2.
18
3
b. At what unit rate does Sue get paid? (How much does she get paid per hour?)

Answers

9 dollars an hour is what she gets paid

Answer:

B.  9

Step-by-step explanation:

18 per two hours. 18 divided by 2= 9.

Mr. Yukilous has hired some workers to install a patio. The patio will be a square, 5 feet on edge. The workers charge $30 per square foot for the patio tiles, plus $600 for the labor. Write an expression giving the total cost, then simplify it to find that cost. To answer this question, please select the correct multiple choice response below.

Answers

Answer:

Step-by-step explanation:

reeeeeeeeee

Point Q' is the image of Q(0.6) under the translation (2, y) + (x + 7, y – 5).
What are the coordinates of Q'?

Answers

( 9 , -5.6 ) . i think

I need to solve. x + 5 = –2

Answers

Answer:

X=-7

Step-by-step explanation:

Answer:

x = -7

Step-by-step explanation:

Finding the answer to this expression is very simple.

You can work backwards to find it. First off you need to subtract 5 from both sides :

x + 5 - 5 = -2 -5, in which that will give you,

5 - 5 = 0 and -2 - 5 = -7 so,

x = -7 as simple as that!

Hope this helps!!

what is the place value of the 4 in 12.47

Answers

Answer:

The place value of 4 in 12.47 is the tenths place.

Step-by-step explanation:

One place to the right of the decimal point is the tenths place. Two places to the right of the decimal is the hundredths place. Hope this helps.

The place value of the 4 in the decimal number 12.47 will be the tenth place.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

In a decimal number, if we move from right to left before the decimal, then the places of the number are given as,

Ones, Tens, Hundreds, and so on.

In a decimal number, if we move from left to right after the decimal, then the places of the number are given as,

Tenths, Hundredths, and so on.

The place value of the 4 in the decimal number 12.47 will be the tenth place.

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what is 5+10. enjoy the freebie points mwah

Answers

Answer: 5+10=15

Step-by-step explanation:

Answer:

10+5=15

Step-by-step explanation:

there is a nother way to get 15. 5+5=10+5=15

1. Darrell determines that it costs $1,200 to run the movie theater for a given
day. The cost of a movie ticket is $9.
A. Write a function Darrell can use to determine the profit for the movie
theater for one day.

Answers

Answer:

f(x) = 9x - 1,200

Step-by-step explanation:

Let x represent the number of movie tickets sold.

9x will represent the profit made from selling movie tickets that day, since each ticket is 9 dollars.

To determine the profit, subtract 1,200 from 9x.

9x - 1,200 will represent the profit. Turn this into a function:

f(x) = 9x - 1,200 where x is the number of movie tickets sold and f(x) is the profit

Simplify
32 + 1 x 2
Please hellppppo

Answers

Answer:

1x2 = 2, 32 + 2= 34

Step-by-step explanation:

which fractions are equalvalent to 40%

Answers

Answer:

4/10, 2/5, 8/20

Step-by-step explanation:

if you divide all of these numbers you get .4 which is equivalent to 40%

Answer:

40%=40/100=2/5=4/10=6/15=8/20=10/25=12/30=14/35=16/40= and so on.

Step-by-step explanation:

A scientist was in a submarine, 24.6 feet below sea level, studying ocean life. Over the next ten minutes, she descended 23.2 feet. How many feet was she now below sea level?

Answers

Answer:

-47.8 feet

Step-by-step explanation:

Answer:

47.8 feet below

Step-by-step explanation:

L is the midpoint of MN, MN = 10x and LN = 15. Find x, ML, and MN.

Answers

Answer:

10x=15•2

10x=30

30÷10=3

x=3

ML = 15

MN=30

Which recursive formula can be used to determine the total amount of time spent making hats based on the total amount of time spent previously?

Answers

Answer:

i need more intel like numbers

Step-by-step explanation:

the width of a rectangle is 4 inches less than the length. The perimiter is 32 inches. Find the length and width of the rectangle.​

Answers

In problems that involve the perimeter of a rectangle, I would draw a picture

of the rectangle and label its dimensions to help you set up your equation.

Since the width of the rectangle is 4 inches less than the length,

we can call the length of the rectangle x and the width x - 4.

Now draw a picture, I have done this below.

The rets of my work is shown below.

James earns $15 per hour as a teller at a bank. In one week he pays 17% of his earnings in state and federal taxes. His take-home pay for the week is $460.65. Write an equation to represent the problem.

Answers

Answer:

Hi there!

An equation to represent how he got $460.65 as take home pay is:

15x - (.17× (15x) ) = 460.65

15x tells us how much money he earned in total. We also multiply that by .17 to determine how much goes to taxes. Then, we subtract taxes from total, and put that equal to our take home pay

Hope this helps

you deposit $45 in a retirement account twice each month. how much will you deposit in the account in 8 years

Answers

$45 x twice a month is $45 x 2, which is $90. Do $90 x 8 and you get $720

which number when rounded to the nearest hundredth is 37.62?

A.37.618

B.37.627

C.37.626

D.37.612​

Answers

Answer:

A

Step-by-step explanation:

When rounding, you look at the number to the right of what you are rounding to. If the number the right of the hundreth's place is 5 or more, you round the hundreth up. If the number next to the hundreth is 4 or less, the hundreth stays the same. So, you round up in answer choise A and get the right answer.

I hope this helps you :)

The number when rounded to its nearest hundredth gives 37.623 is

37.618.

Option A is the correct answer.

What is place value?

The place value of a number is given as:

Example:

1234.567

1 = thousand place value

2 = hundred place value

3 = tens place value

4 = ones place value

5 = tenths place value

6 = hundredths place value

7 = thousandths place value

We have,

Rounding to the nearest hundredth.

A.

37.618

1 is in the hundredth place value.

= 37.62

B.

37.627

2 is in the hundredth place value.

= 37.63

C.37.626

2 is in the hundredth place value.

= 37.63

D.

37.612​

1 is in the hundredth place value.

= 37.61

Thus,

When rounded to the nearest hundredth 37.618 gives 37.62.

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Melissa made a total of 14 baskets during her last basketball game. She made a number of 2-point baskets and a number of 3-point baskets for a total of 33 points. Using matrices to solve, how many 3-point baskets did Melissa make in her last basketball game?

Answers

Answering its B

Step-by-step explanation:

Just took the test edge 2020

Melissa made 5 three-point baskets in her basketball game.

What is Cramer's Rule?

Cramer's Rule is a system of linear equation solving technique.

Let's say we're given a system of linear equations.

ax+by=c

dx+ey=f

then, the solution of the equation with the Cramer's rule is given by

[tex]x= \frac{\begin{vmatrix}c&b\\f&e\end{vmatrix}}{\begin{vmatrix}a&b\\d&e\end{vmatrix}}[/tex]

[tex]y= \frac{\begin{vmatrix}a&c\\d&f\end{vmatrix}}{\begin{vmatrix}a&b\\d&e\end{vmatrix}}[/tex]

How to solve the Problem?

Let Melissa make 'x' 2-point baskets and 'y' 3-point baskets.
So, as she made a total of 14 baskets we have that

x+y=14

and, as she made a total of 33 points we have that

2x+3y=33

We end up with the system of linear equations.

x+y=14

2x+3y=33

This gives us the matrix equation

[tex]\left[\begin{array}{ccc}1&1\\2&3\end{array}\right] \left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}14\\33\end{array}\right][/tex]

Using Cramer's rule we get

[tex]x= \frac{\begin{vmatrix}14&1\\33&3\end{vmatrix}}{\begin{vmatrix}1&1\\2&3\end{vmatrix}}=\frac{14 \times 3 - 1 \times 33}{1 \times 3 - 1 \times 2} = \frac{42 - 33}{3-2}=\frac{9}{1} =9[/tex]

[tex]y= \frac{\begin{vmatrix}1&14\\2&33\end{vmatrix}}{\begin{vmatrix}1&1\\2&3\end{vmatrix}}=\frac{1 \times 33 - 14 \times 2}{1 \times 3 - 1 \times 2} =\frac{33-28}{3-2}= \frac{5}{1} =5\\[/tex]

Hence, Melissa made (y=)5 three-point baskets in her basketball game.

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Identify the correct property of equality to solve each equation.
3 + x = 27
addition property of equality with 3
subtraction property of equality with 3
multiplication property of equality with 3
division property of equality with 3

Answers

Answer:

24

Step-by-step explanation:

because it's just a addition so my answer must be right and it's not wrong I swear to God

Answer:

3 + x = 27

✔ subtraction property of equality with 3

x over 6 = 5

✔ multiplication property of equality with 6

Evaluate f(x) = x^2 for f(-8).

Answers

Answer:

f(-8) = 64

Step-by-step explanation:

The question is simply asking us to evaluate for f(x) when x = -8:

f(-8) = (-8)²

f(-8) = 64

Need help with this if you 100% know it!

Answers

f(a + 2) for f(x) = (3 + x) / (x - 3)

Substitute a + 2 for x in our equation

f(a + 2) = (3 + (a + 2)) / ((a + 2) - 3)

Combine like terms

f(a + 2) = (5 + a) / (a - 1).

This is as far as you can go.

C is the correct answer choice

Solve for x.
7x = 2x – 35
OX= 7
OX= 5
O X=-5
0 x = -7

Need help

Answers

Answer:

x=-7

Step-by-step explanation:

hope this helps

Answer:

DIS WILL  help

Step-by-step explanation:

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