please help The perimeter of a rectangular shape electronic keyboard is 14 ft. Its width is 3 ft longer than its depth
!. How wide and deep is the keyboard

2. what is the area of the keyboard

Answers

Answer 1

Answer:

Width = 6ft Area = 54 sq ft

Step-by-step explanation:

First, re-read the problem until you understand it and can put it into your own words.  I re-wrote it like this:  "Find the area of a rectangle by first finding the length (L) and the width (W)."   [note that I added "find L and W," but that is how I'm going to solve the problem;  I could also have said that we will need the formulas, P=2L+2W and A=LW, but you knew that already, right?).

 

Translate the problem:

 "The length of a rectangle is 3 ft longer than its width"      means

         L                             =    3             +         W                 (eq1)

 "the perimeter of the rectangle is 30 ft"     means

            P                                = 30                      (eq2)

 

So, now the math is easy, just find L and W so we can compute the area:

     P = 30 = 2L + 2W                         (eq3; from eq2 and the formula for P)

          30 = 2(3+W)  +  2W              (use eq1 to substitute for L)

          30 = 6 + 2W   + 2W              (distribute)

           30 = 6 + 4W                       (collect terms)

            24 = 4W                        (subtract 6 from both sides)

            6 ft = W                         (divide both sides by 4)

 

Use the easiest equation (either eq1 or else eq3) to find L:

          L = 3 + W        (eq1)

          L = 3 + 6

          L = 9 ft

What is the area (A)?

          A = L*W

          A = (9 ft)*(6 ft)

          A = 54 sq ft


Related Questions

Here is a number line.
-3
-2 -1
0
3
(a) On this number line, show the inequality -2 = x < 3
(b) Solve 5 + 3 > 27

Answers

Answer:

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oo

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Step-by-step explanation:

Answer:  a) see the graph below

               b) n > 24/5  or 4.8

Step-by-step explanation:

a) see the graph below.

-2 is smaller and equal to x, so the point is close circle; and 3 is only greater than x, so it only has open circle, and the line was between the range from -2 to 3.

b) 5n + 3 >27

           5n > 24   [Subtradt 3 from both side]

             n > 24/5   or 4.8

BRAILEST + THANKS
F(x)=x^2+14 and g(x)=x−8
Find (f+g)(−1)

Answers

Answer:

Step-by-step explanation:

Disclaimer all solutions need to be verified by the student for accuracy in typos, algebra and calculations.

f(x) = x² + 14      g(x) = x - 2      -1 ?   I think it means evaluate when x = -1

Find (f(x) + g(x))  when x = -1

 (f(x) + g(x))  =   [ ( x² + 14)  +  (x - 2)]        insert f(x)  and g(x)

                    =   [ x² + x + 14 - 2]               add like the term

 (f(x) + g(x))  =   x² + x + 12

(f(-1) + g(-1))  =   (-1)² + (-1) + 12             evaluate at x = -1

                   =    1 - 1 + 12

                   =    12

Bilal and Charlie have some sweets. Bilal has 4 times as many sweets as Charlie. Bilal gives Charlie 15 of his sweets and now they have the same amount. How many sweets do they have altogether?

Answers

Answer:

50

Step-by-step explanation:

The computation of the number of sweets they do have altogether is as follows:

Let us assume Charlie sweets be x

So bilal sweets is 4x

Now Bilal gives Charlie 15 of his sweets due to which they must have the same amount

4x - 15 = x + 15

4x -x = 15 + 15

3x = 30

x = 10 = Charlie sweets

Bilal sweets = 4x = 4(10) = 40

So the total no of sweets held by them is 50

find the value of x. Thanks!!

Answers

I think the answer is 13 hopefully this helps

I NEED THIS QUICK! Daniella has 130 baseball cards. She buys 10 new cards to add to her collection every month. Which arithmetic sequence describes the number of cards in her collection?
A. a1=10;an=an−1+130
B. a1=10;an=an+1+130
C. a1=130;an=an−1+10
D. a1=130;an=an+1+10

Answers

Answer:

Step-by-step explanation:

The answer is the third one.

She starts with 130

a1 = 130

She adds 10 every month.

So you take the number she had last month (represented by a_n-1) and adds 10.

Answer

a1 = 130

an = an_1 + 10

C

List the angles of the triangle in order from
largest to smallest.

Answers

Answer: A, C, B

Step-by-step explanation:

Because "a" has 8 across

And "c" has 10 across

and "b" has 13 across

Which formula represents how to find the area of a circle

Answers

Answer:

Area = pi r^2

Step-by-step explanation:

Answer:

Area=pi x r^2

Step-by-step explanation:

Does anyone know this answer??

Answers

Answer:

Obtuse

Step-by-step explanation:

One of the angles is above 90 degrees

Answer:

Its not acute or right.

It’s the size of obtuse

No idea what equilateral

HELLLLLLPPPP MEEEE Claire found the area of the following cube by doing the following steps. Identify which step she made her mistake on?

Answers

Answer:

step 2

Step-by-step explanation:

she multiplies by 2 instead of finding the square.

solve using trigonometry, find missing side

Answers

Answer:

Step-by-step explanation:

1. sin 30 = x/16

   x= 16 sin 30

   x = 8

2. cos 60 = 22/x

   x = 22/cos 60

   x = 44

3. tan 45 = x/19

  x = 19 tan 45

   x= 19

4. tan 16 = x/13

   x = 13 tan 16

   x= 3.73

5. sin 54 = x/45

  x = 45 sin 54

  x= 36.41

6. sin 35 = z/23

 z =   23 sin 35

  z = 13.19

Graph each equation using the slope and Y intercept y+x=-3

Answers

Answer:

1) make your first mark at -3 on the y axis(line going down(vertical))

2)then go down one and over to the left one

3) connect them

Step-by-step explanation:

what is the median of the following numbers? 6,4,1,9,3,8,3,5,10​

Answers

The median is 3 in this question

eight more than the product of 16 and greg's height

Answers

It’s 24 my guys but I need to make this text longer so yea

My pet snail is lost. It must have gotten out in the yard. I know that there are holes in the yard. Each hole is 5 1/2 inches deep. Each day the snail would be able to climb up 3 inches, but every night he falls back down 2 inches. How many days would it take the snail to get out of a hole? Show your work and explain your answer.

Answers

Answer:

4 days

Step-by-step explanation:

he has to make it 5 1/2 inches up and using the rule

3-2=1

4-2=2

5-2=3

6          he made it above 5 1/2 inches on  the 4th day

Determine if the sequence is geometric. If it is, find the common ratio. ( -4, 12, -36, 108, ... )

Answers

Step-by-step explanation:

to know whether it is geometric progression or not, you need to find the common ratio. to find the ratio divide the (n+1)th term by n th term

so, 12/-4 = -3

also, -36/12 = -3

here u see the ratio is always same, i.e., common ratio.

thus u can say it is a geometric series with common ratio -3

Joe goes to the store to buy jeans and some T-shirts. The jeans cost
$40 each and the T-shirts cost $20 each. If Joe spends $160 on 5 items,
how many pairs of jeans and how many T-shirts did he buy?

Answers

Answer:

Jeans: 3 T-shirts: 2

Step-by-step explanation:

40 times 3 equals 120

20 times 2 equals 40

120+40=160

Joe bought 3 pairs of jeans and 2 T-shirts.

What is the equation?

The equation is defined as a mathematical statement that has a minimum of two terms containing variables or numbers that are equal.

Let's represent the number of pairs of jeans that Joe bought "x".

The total cost of the jeans would be $40 × x.

And the total cost of the T-shirts would be $20 × (5 - x).

Since Joe spent a total of $160, we can set up an equation to solve for x:

$40 × x + $20 × (5 - x) = $160

Expanding the second term:

$40 × x + $20 × 5 - $20 × x = $160

Combining like terms:

$40 × x + $100 - $20 × x = $160

Subtracting $100 from both sides:

$40 × x - $20 × x = $60

Combining like terms:

$20 x = $60

Dividing both sides by $20:

x = 3

So he bought 3 pairs of jeans and 5 - 3 = 2 T-shirts.

Learn more about the equations here:

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2). Write an equation and solve. You will not be given credit for your answer if you do not include your equation! This month's cell phone bill was for $15.27 more than last month's cell phone bill. If this month's phone bill is for $72.50, how much was last month's cell phone bill?​

Answers

Answer:

Equation is:     x+15.27 = 72.50Solution to that equation:    x = 57.23Interpretation:   Last month's phone bill was $57.23

========================================================

Explanation:

We'll make x the value of last month's phone bill. So if lets say x = 50, this means that last month's phone bill was $50. We don't know yet if x = 50 is the actual solution or not.

We're told that "This month's cell phone bill was for $15.27 more than last month's cell phone bill". This means this month's bill, in terms of x, is x+15.27 dollars. Whatever x is, we add 15.27 onto it getting this month's bill. This works because x is really a placeholder for a number.

Going back to x = 50, that would mean this months bill is x+15.27 = 50+15.27 = 65.27 dollars. We can see that we don't reach 72.50 that we're told the current months bill actually is. Since we don't have a match, this means x = 50 is too small. We can guess and check our way to hopefully land on the answer. However, using algebra is the most efficient method.

----------

The equation we need to solve is:   x+15.27 = 72.50

This is because x+15.27 represents this month's bill and so does the 72.50, as your teacher gave in the instructions.

To solve this equation, we'll undo the "plus 15.27" to isolate x fully. The opposite of addition is subtraction. We'll subtract 15.27 from both sides

x+15.27 = 72.50

x+15.27-15.27 = 72.50-15.27

x = 57.23

Last month's phone bill was $57.23

As a check, adding 15.27 onto last month's bill should get us to 72.50

x+15.27 = 57.23+15.27 = 72.50

It works out, so we've confirmed the answer.

Answer this quick pls it’s due today giving 20 points !

Answers

4x + 17 = 23
Subtract 17 from both sides
4x = 6
Divide both sides by 4
x = 6/4

Answer:

1.5(4)+17=23

Step-by-step explanation:

1.5(4)+17=23

I know that because first we subtract 23 and 17 and get 6 so we divide 6 and 4 because there are 4 x's and we get 1.5 so we have 4, 1.5's and then to check our answer we multiply 1.5, 4 times or just add it and then we have to add 17+6 because 6 is what we got from multiplying 1.5, 4 times therefore the total of 17 and 6 is 23

8. The line plots below show the number of students in each of Andre's and Mandy's classes at school

Answers

Answer:

what the exact question

(GIVING BRAINLIEST!!!)


What is the total length of all the ski trails that are 2 7/8 miles long?

Answers

Answer:

[tex]Total\ length = 8\frac{5}{8}\ miles[/tex]

Step-by-step explanation:

Given

See attachment for ski trails

Required

Total length of [tex]2\frac{7}{8}[/tex] ski trails

From the attached figure, there are 3 skis with length [tex]2\frac{7}{8}\ miles[/tex]

So:

The total length is:

[tex]Total\ length = 3 * 2\frac{7}{8}[/tex]

Express fraction as improper fraction

[tex]Total\ length = 3 * \frac{23}{8}[/tex]

[tex]Total\ length = \frac{3 *23}{8}[/tex]

[tex]Total\ length = \frac{69}{8}[/tex]

[tex]Total\ length = 8\frac{5}{8}\ miles[/tex]

Find the CIRCUMFERENCE of the circle.

Answers

Answer:

C=2πr

Step-by-step explanation:

Its on the wall of my math class

5. Alex mounts the clock on a wood
base with the shape shown at the
right. What is the area of the wood
base?

Answers

9514 1404 393

Answer:

  487.2 in²

Step-by-step explanation:

The area of the semicircle is ...

  A = (1/2)πr² . . . . . where r is half the diameter

  A = (1/2)π(9 in)² = 40.5π in² ≈ 127.2 in²

The area of the rectangle is ...

  A = bh

  A = (18 in)(20 in) = 360 in²

Then the total area is ...

  total area = semicircle area + rectangle area

  = 127.2 in² +360 in² = 487.2 in² . . . . . area of the wood base

round to nearest hundredth
0.099​

Answers

Answer: 0.10

Step-by-step explanation:

Find the number in the hundredth place

9

9

and look one place to the right for the rounding digit

9

9

. Round up if this number is greater than or equal to

5

5

and round down if it is less than

5

5

.

0.10


f(x)=2/3x+3

what is the value of f(12)

Answers

Answer:

Step-by-step explanation:

Remark

What the question means is wherever you see an x on the right, you put in 12 and solve it. I'm going to assume you mean (2/3)*x + 3 on the right.

Solution

f(12) = (2/3) * 12 + 3

f(12) = 2 * 12 / 3 + 3

f(12) = 24/3 + 3

f(12) = 8 + 3

f(12) = 11

2. Any number that can result from
multiplying our given number by any other
number is a
B. multiple
D. product
A. factor
C. LCM

Answers

Multiple im pretty sure- Well, a multiple is any number obtained by multiplying other numbers together. Multiples are most commonly discussed in the context of integers.

Find two consecutive numbers if square root of the bigger number is 5 less than the smaller number

Answers

9 and 8, square root of 9 is 3 which is 5 pess than 8

Using a system of equations, it is found that the two consecutive numbers can be 8 and 9, or 3 and 4.

What is a system of equations?

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the numbers are consecutive, hence they are n(smaller number) and n+1(larger number).

The square root of the bigger number is 5 less than the smaller number, hence:

[tex]\sqrt{n+1} = n - 5[/tex]

[tex](\sqrt{n+1})^2 = (n - 5)^2[/tex]

[tex]n^2 - 10n + 25 = n + 1[/tex]

[tex]n^2 - 11n + 24 = 0[/tex]

[tex](n - 8)(n - 3)[/tex]

The solutions are n = 8 and n = 3. Hence, the consecutive numbers can be 8 and 9, or 3 and 4.

More can be learned about a system of equations at https://brainly.com/question/24342899

pls help me and show your work pls :)

Answers

Answer:

the only graph that has to positive slopes

Step-by-step explanation:

this one is fairly easy because the equations given have positive slopes and all of the other graphs have at least one or more negative slopes so the graph with both positive slopes is the correct answer

I need help fast please!!!!!

Answers

Answer:

255.7 cm²

Step-by-step explanation:

A = 10²(3.14) = 314

(293/360)(314) = 255.7 cm²

Answer:

255,56

Step-by-step explanation:

L = 293/360 x 314 = 255,56

Simplify the following surd expressions

a) 6√2 -5√2

b) √11 + 3√11​

Answers

a) √2
b) 4 √11


tip: if the surds are the same you can add and subtract the other number as normal!!

hope that helps!

Answer:

a) 6√2 -5√2-_________________       √2     (6-5=1)

b) √11 + 3√11​ =  1√11 + 3√11​ _______       4√11​   (1+3=4)

Step-by-step explanation:

a ) have the same surd factor, so just  find the difference of rational co-efficient of like surds.

b) have the same surd factor ,so just  find the sum  of rational co-efficient of like surds.

Which facts are true for the graph of the function below? Check all that apply.
F(x) = 4• 5*
A. It is decreasing.
B. The domain of F(x) is all real numbers.
C. The y-intercept is (0,5).
D. The range of F(x) is y> 5.
O E. It is increasing.
O F. The y-intercept is (0,4).

Answers

I think it is A i am sorry if wrong

The solution is :

B. The domain of F(x) is all real numbers.

E. It is increasing.

What is function?

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.

here, we have,

Given the function

f(x) = 2 • 5x

y intercept occurs at x = 0

f(0) = 2  • 5(0)

f(0) = 2 • 0

f(0)= 0

Hence the y intercept (0,0)

The domain are the input values x that makes the function exists. According to the function, the function f(x) will exist for al values of x hence the domain of F(x) is all real numbers.

If x = 0, f(x) = 0. This shows that the range of the values is y >0

The value of function f(x) also increases for increasing value of x, hence it is increasing.

Hence, The solution is :

B. The domain of F(x) is all real numbers.

E. It is increasing.

To learn more on function click:

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