A board 60 in long is cut into two parts so that the longer piece is 5 times the shorter. What are the two lengths of the two pieces ?
The shorter piece is _____ a° in
the longer piece is _____a° in​

Answers

Answer 1

Answer:

Longer piece: 50 in

Shorter piece: 10 in

Step-by-step explanation:

Lets make the shorter piece = x

Leta make the longer piece = 5x

Since the longer piece is 5 times the shorter, this is why we put 5x, because 5 times the shorter. We also have to find the two lengths of the pieces which in total equals 60 in.

x + 5x = 60 in

If we substitute the x to 10:

10 + 50 = 60 in

10 in = shorter length

50 in = longer length


Related Questions

what is 10 times 20,00x

Answers

Answer: 20,000x

1) simplify

20000x


BUT if you mean 10*20,00x

Answer: 200,0

1) simplify 10*20 to 200

200,00x

2) simplify 00x to 0

200,0

Ming li spent $15 at the movies. She then earned $30 babysitting. She spent $12 at the bookstor. She now has $18 left. How much money did ming li have to begin woth

Answers

Answer:

$15

Step-by-step explanation:

30 - (12+15)

30-27=3

18-3=15

Hope this helps ;)

Spent total 27
Earned total 30
Left 18

15 + 30 = 45
45 - 27 = 18

She started off with 15

Determine whether the relation (1,−2), (2,1), (3,6), (4,13), (5,22) is a function. Explain.

Answers

Answer:

Since there is one value of  y  for every value of  x  in  ( 1,−2) ,( 2,1),(3,6), (4,13 ) ,(5 ,22 ) , this relation is a function.

The relation is a function.

A relation is a function if it has only one y-value for each x-value. The relation (1,−2), (2,1), (3,6), (4,13), (5,22) is a function.

What is a function?

A relation is a function if it has only one y-value for each x-value.

The given relation is one comma minus two

two comma one

three comma six

four comma thirteen

five comma twenty two.

(1,−2), (2,1), (3,6), (4,13), (5,22)

In the ordered pairs (x, y) , there should not have same y value.

As we observe there are only one y values for x value.

Every domain element is have unique codomain element.

Hence the relation  (1,−2), (2,1), (3,6), (4,13), (5,22) is a function.

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Two points that are on the same line are called what?


A
coplanar
B
collinear
C
supplementary
D
parallel

Answers

Answer:

That would be B Collinear

Answer:

B: Collinear

Step-by-step explanation:

Let's look at the answer choices, shall we?

-Coplanar is two lines or points on the same plane.

-Supplementary is where two angles measure to 180 degrees

- Parallel lines are where two lines have the same slope and will never intersect

The only other option is collinear, which happens to have the definition of two points on the same line.

During the years 1992 through 1996, the average number of
green
grapes, g, sold at a farmer's market can be modeled by
g=-0.1312 + 1.12t + 54.33.
The average number of red grapes, r, sold by the farmer's market can
be modeled by
r=0.00772
0.6787+77.18. Determine the model representing the total
number of grapes, n, sold from 1992 through 1996.

Answers

Answer:

133.18522

Step-by-step explanation:

g=55.3188

r=77.86642

77.86642+55.3188

133.18522

pls help! thank you:) I will make brainleist​

Answers

Answer:

4x+1 = 3x-2

Step-by-step explanation:

4x+1=3x-2 subtract 3x and 1 from both sides

x= -3

I buy a printer for $125 and ink cartridges cost $15 each. Explain the relationship between the cost of ink cartridges and the total cost.

Answers

Answer:

125+15c=t

Step-by-step explanation:

Every cartridge is worth $15, so that would be 15c aka 15 x however many cartridges you purchase. Then the printer is $125, and its not changing so there will be no variable. Put those two amounts together and you'll get the total cost. (Hopefully I explained this well enough.)

If y = −2 when x = 1, find x when y = 4

Answers

Answer:

if y=4 then x=7

Step-by-step explanation:

y=2 when x = 1

that what l think

What is the slope-intercept form of the equation of the line that passes through the point (–6, 1) and is perpendicular to the graph of 2x + 3y = –5?

Answers

Divided by 5 is answer

We want to factor the following expression: 25x^6-30x^3+9 We can factor the expression as (UVwhere Uand are either constant integers or single-variable expresSions 1) What are U and V?​

Answers

Answer:

U = 5x^3

V = 3

(5x^3 - 3)^2

Step-by-step explanation:

(1) The value of U and V are U = 5x³ and V = 3.

(2) The factored form of 25x⁶ - 30x³ + 9 is (5x³3 - 3)²

What is a quadratic equation?

A basic quadratic equation, or a second-order polynomial equation with a single variable, is represented by the equation x : ax² + bx + c = 0, where a≠0 for the variable x. As it is a second-order polynomial equation, which is ensured by the algebraic fundamental theorem, it must have at least one solution.

We can factor the expression 25x⁶ - 30x³ + 9 by first noticing that each term is a perfect square:

25x⁶ = (5x³)²

30x³ = 2(15x³)

9 = 3²

Now we can write the expression as the difference of two squares:

25x⁶ - 30x³ + 9 = (5x³)² - 2(5x³)(3) + 3²

Let U = 5x³ and V = 3. Then we have:

(5x³3 - 3)²

Therefore, the factored form of 25x⁶ - 30x³ + 9 is (5x³3 - 3)².

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(2x+4) + (3x-9) simplify​

Answers

So to add, combine your like terms
2x+3x=5x
4+ (-9)= -5

5x-5

Hope this helps
(2x + 4) + (3x - 9)

5x - 5

SUPER EASY, ILL GIVE A BRAINLIEST THINGY TO FIRST ANSWER. At the store, two brands are sold. Brand A is offered as 6 for $0.85. Brand B is offered as 8 for $1.00. Which brand is the better buy?

Answers

Answer:

8 for $1.00

step by step explanation:

What is the median for the set of data?

A. 70
B. 71
C. 72
D. 74

Answers

Answer:

Median = 72

Step-by-step explanation:

The median is c=72. Your welcome

SOMEONE PLEASE HELP ME... GOD WILL BLESS U...
Kavitha is 9 years younger than Lizzy. 8 years ago, Lizzy was 2 times as old as Kavitha reduced by 1. How old are they now?

Answers

Answer: Kavitha is 18 and Lizzy is 27

Step-by-step explanation: 8 years ago, Kavitha was 10 and Lizzy was 19.

10 × 2 = 20

20 - 1 = 19

Kavitha is 9 years younger than Lizzy because 27 - 9 = 18

9514 1404 393

Answer:

  Kavitha is 19 and Lizzy is 28

Step-by-step explanation:

Let k and l represent the current ages of Kavitha and Lizzy.

  k = l -9 . . . . . Kavitha is 9 years younger

  l -8 = 2(k -8 -1) . . . . 8 years ago, Lizzy was 2 times as old as Kavitha was 9 years ago

  l -8 = 2(l -9 -9) . . . . substitute for k

  l -8 = 2l -36 . . . . . . eliminate parentheses

  28 = l . . . . . . . . . . . add 36 - l

  k = 28 -9 = 19

Kavitha is 19; Lizzy is 28.

Help! I’ll mark you brsinly

Answers

Click below to get the answers

Odd numbers 3 and 19

Answers

yes they are odd numbers

what is meaning of integers​

Answers

whole numbers, plus their counterparts less than zero, and zero

Negative integers(less than 0) being: –1, –2, –3 exc.

Positive integers(more than 0) being: 1, 2, 3 exc.

Answer:

Integers are whole numbers like -3, -2, -1, 1, 2, 3, 4. They can't be fractions or decimals though

Solve the following system of equations.
6x -5y=13 & 9y-15+2x=0

Answers

Answer:

x = 3

y = 1

Step-by-step explanation:

Hi !

6x - 5y = 13

9y - 15 + 2x = 0

6x - 5y = 13

2x + 9y = 15 | ×(-3)

6x - 5y = 13

- 6x - 27y = - 45

add

6x - 6x - 5y - 27y = 13 - 45

- 32y = - 32 | ×(-)

32y = 32

y = 1

replace y = 1

6x - 5(1) = 13

6x - 5 = 13

6x = 13 + 5

6x = 18

x = 3

Good luck !

I think #1 is wrong but i can't figure it out​

Answers

Answer:

Step-by-step explanation:

x=6

y=4

5x-y^2 :2

5×6 - 4 ^2 :2

30 - 16 :2

30 - 8

22 (the wright answer)

Circle the mistake :x =6 and y =4 it's not x=4 and y=6

Explain the mistake :when you calculed with x=4 and y=6 the final answer is wrong.

Solve for x: 2x-1-x+3=5

Answers

Answer:

given

2x-1-x+3=0

x+2=0

x= -2

hope it helps you mate

please mark me as brainliast...

Answer:

2x-1-x+3=5

subtract 3 both sides

add 1 both sides

after that now its

2x-x=3

2x-x= x

x=3 thats the answer

I need hhhheeeellllpppp!!!! HURRY PLS will be thanked lol

Answers

Answer:

Just saying I LOVE THESE the slope is 3/2  

Step-by-step explanation:

Answer:

-4 to -4

Step-by-step explanation:

-------------------------

-4                -4

Is the function even, odd, or neither?

Answers

You may be asked to "determine algebraically" whether a function is even or odd. To do this, you take the function and plug –x in for x, and then simplify. If you end up with the exact same function that you started with (that is, if f (–x) = f (x), so all of the signs are the same), then the function is even. If you end up with the exact opposite of what you started with (that is, if f (–x) = –f (x), so all of the signs are switched), then the function is odd.

In all other cases, the function is "neither even nor odd".

Let's see what this looks like in action:

Determine algebraically whether f (x) = –3x2 + 4 is even, odd, or neither.

If I graph this, I will see that this is "symmetric about the y-axis"; in other words, whatever the graph is doing on one side of the y-axis is mirrored on the other side:

graph of y = –3x^2 + 4

This mirroring about the y-axis is a hallmark of even functions.

Also, I note that the exponents on all of the terms are even — the exponent on the constant term being zero: 4x0 = 4 × 1 = 4. These are helpful clues that strongly suggest to me that I've got an even function here.

But the question asks me to make the determination algebraically, which means that I need to do the algebra.

So I'll plug –x in for x, and simplify:

f (–x) = –3(–x)2 + 4

= –3(x2) + 4

= –3x2 + 4

I can see, by comparing the original function with my final result above, that I've got a match, which means that:

f (x) is even

(5.6x10^4)x(1.3x10^8)

Answers

Answer:

(5.6x10^4)x(1.3x10^8) = 7.28 x 10^12

Answer: =7.28x100010001

Step-by-step explanation: 5.6x104x(1.3x108)

Simplifies to:

7.28x100010001

The price of a floor tile is $3 per square foot, and the cost of shipping is $20. You are adjusting the size of your bathroom according to the space availability. You would like to estimate the rate of change of cost for flooring that you expect when you change the size of the square bathroom of current length 10 feet. Assume xx to be the length of a square shaped bathroom. Include units in all parts. a. Calculate the average rate of change of cost when you change your bathroom from 10 feet to 12 feet long. b. Calculate the instantaneous rate of change of cost at length 10 feet. c. If the cost of shipping also depends on the length according to \$20(1 \sin{x})$20(1 sinx), what is the instantaneous change of cost at length 10 feet.

Answers

Answer:

a

    [tex]A =  \$66 \foot [/tex]

b

   tex]C(10)' = \$60  /  feet[/tex]

c

   [tex]C(10)' = \$79.696 \ feet  [/tex]

Step-by-step explanation:

From the question we are told that

  The price per square foot of a floor tile is  [tex]p = \$ 3[/tex]

   The cost of shipping is  [tex]s =  \$ 20[/tex]

  The current length of the square bathroom is x =  10 ft

   The new length is  [tex]x_ 1 =  12 \  ft[/tex]

   

Generally the equation representing the cost of the square tile is mathematically represented as  

       [tex]C(x) =  3x^2 + 20[/tex]

Generally the average rate of change of cost is mathematically represented as

   [tex]A =  \frac{ cost \ for\  a \  12 feet \  bathroom - cost \ for\  a \  10 feet \  bathroom  }{12 feet  - 10 feet}[/tex]

Generally the cost for flooring a 12 feet square bathroom is mathematically represented as

             [tex]C(12) =  3(12)^2 + 20[/tex]

=>           [tex]C(12) = \$ 452 [/tex]

Generally the cost for flooring a 10 feet square bathroom is mathematically represented as

            [tex]C(10) =  3(10)^2 + 20[/tex]

=>          [tex]C(10) =  \$320[/tex]

So

            [tex]A =  \frac{ 452- 320 }{12 feet  - 10 feet}[/tex]

=>          [tex]A =  \$66 \foot [/tex]

Generally the instantaneous rate of change of cost is obtained by the differentiating the cost function as follows

         [tex]C(x) =  3x^2 + 20[/tex]

         [tex]C(x)' = \frac{dC(x)}{dx}  =  6x[/tex]

So the instantaneous rate of change of cost at length 10 feet is mathematically represented as

         [tex]C(10)' = 6(10)[/tex]

=>       [tex]C(10)' = \$60  /  feet[/tex]

Generally given that the new cost function is  

         [tex]C(x) =  20(1 + sinx) + 3x^2[/tex]

Now the instantaneous rate of change of cost will now be

       [tex]C(x)' =  20cos(x) + 6x[/tex]

So the instantaneous rate of change of cost at length 10 feet is mathematically represented as

         [tex]C(10)' =  20cos(10) + 6* 10 [/tex]

=>        [tex]C(10)' = \$79.696 \ feet  [/tex]

   

A city has a population of 38802500 people. Estimate this population to the nearest ten million

Answers

Answer:

40,000,000 or 40 million

Step-by-step explanation:

Four friends went to the movies.

Each person bought a movie ticket, and the total the four friends spent on the tickets was $52.
Which equation can be used to find the cost of each tickets

A) 4+x=52
B) x - 4= 52
C) 4x=52
D)x/4=52

Answers

The answer to the question would be Option C. 4x=52

The equation that can be used to find the cost of each ticket is 4x = 52.

What is an equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 3 = 6 is an equation.

We have,

Number of people who bought the tickets = 4

The total cost of tickets = $52

Now,

The cost of each ticket.

= 52 ÷ 4

= 13

Now,

Cost of one ticket = x

4x = 52

x = 52/4 = 13

Thus.

The cost of each ticket is $13.

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Find all solutions of the equation x^2+3x+5=0 and express them in the form a+ bi

Answers

Answer:

in you question there is the ans hibben

Step-by-step explanation:

x^2+3x+5=0 =a+ bi

Simplify: b3·b−5·b11
A) b9
B) b15
C) b19
D) b-165

Answers

The answer should be C
(Hope this helps) :)

Solve for x. Show each step of the solution 4.5 ( 8 - x ) + 36 = 102 - 2.5 ( 3x + 24)​

Answers

Answer:

X=-10

Step-by-step explanation:

Answer:

x = -10

Step-by-step explanation:

4.5(8-x) + 36 = 102 - 2.5(3x+24)

36 - 4.5x + 36 = 102 - 7.5x - 60

72 - 4.5x = 42 - 7.5x

72 + 3x = 42

3x = -30

x = -10

Let g be the piecewise defined function shown.


g(x)=

x + 4, −5 ≤ x ≤ −1

2 − x, −1 < x ≤ 5


Evaluate g at different values in its domain.


g(−4) =


g(−2) =


g(0) =


g(3) =


g(4) =

Answers

Answer:

Yup 0,2,2,-1,-2

Step-by-step explanation:

Edg 2020

The value of g(-4) for the given function g(x)=x+4 is 0.

What are piecewise functions?

Piecewise functions are functions that have multiple pieces, or sections. They are defined piece by piece, with various functions defining each interval. Piecewise functions can be split into as many pieces as necessary. Each piece behaves differently based on the input function for that interval. Pieces may be single points, lines, or curves.

For −5 ≤ x ≤ −1

Lets take all range of values of x

g(-5) = x + 4 = -5 + 4 = -1

g(-4) = x + 4 = -4 + 4 = 0

g(-3) = x + 4 = -3 + 4 = 1

g(-2) = x + 4 = -2 + 4 = 2

g(-1) = x + 4 = -1 + 4 = 3

For −1 < x ≤ 5

Lets take all range of values of x

g(0) = 2 - x = 2 - 0 = 2

g(1) = 2 - x= 2 - 1 = 1

g(2) = 2 - x= 2 - 2 = 0

g(3) = 2 - x= 2 - 3 = -1

g(4) = 2 - x= 2 - 4 = -2

g(5) = 2 - x= 2 - 5 = -3

Therefore, the value of g(-4) for the given function g(x)=x+4 is 0.

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