A 28 ​-inch board is to be cut into three pieces so that the second piece is twice as long as the first piece and the third piece is four times as long as the first piece. If x represents the length of the first​ piece, find the lengths of all three pieces.
What is the length of the first​ piece?

Answer:

y = 9

Step-by-step explanation:

Given

6.4x + 2.8y = 44.4 ← substitute x = 3 into the expression

6.4(3) + 2.8y = 44.4

19.2 + 2.8y = 44.4 ( subtract 19.2 from both sides )

2.8y = 25.2 ( divide both sides by 2.8 )

y = 9

Answer: b. counterexample

A counterexample contradicts the statement or definition you're trying to set up.

For example, if you said that 2x+3x = 7x was true for all x values, then all you need to do is try something like x = 2 to find the original equation simplifies to 10 = 14, which is false. In this case, the counterexample is x = 2 invalidating the equation 2x+3x = 7x.

Answer:

First one- y = -13

Step-by-step explanation:

27 + y = 14 (Rearrange equation)

y = 14 - 27 (Combine like terms)

y = -13

Answer:

Step-by-step explanation:

[tex]2.4\times\:10\\[/tex]

Multiply without the decimal points then put the decimal point in the answer

[tex]24\times\:10=240\\[/tex]

2.4 has 1 decimal place

10 has 0 decimal places

Therefore, the answer has 1 decimal place

[tex]\\=24.0\\\\=24[/tex]

The value product of 2.4 × 10 will be 24.

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

The expression is,

⇒ 2.4 × 10

Now,

Since, The expression is,

⇒ 2.4 × 10

After multiply, we get;

⇒ 2.4 × 10 = 24

Thus, The value = 24

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Answer:it’s 1/5

Step-by-step explanation:

Answer:

1/5

Step-by-step explanation:

Answer:

45

Step-by-step explanation:

5x+3x+4x=12x

so 12x=180

x=180÷12

x=15

so smallest angle = 3x = 3×15=45

Answer:

five times the number, the result is 36. Find the number. 36. -36. - 3. 5. X? +5x = 36. X2 +5% -36 = 0 ... make the total revenue from the books equal to. $1426? ... w (²W + 3) = 27. 21 The length of a rectangle is 4 feet more than its width. If the area of ... area that is 25% more than the original square garden. X+10. +88. X+8. 2x.

Answer:

Step-by-step explanation:

As seen from the first given equation: x + 1/x = 2

If we think of x as x/1 instead then we get:

x/1 + 1/x = 2.

To combine the fractions we multiply the top and bottom of the first one (x/1)  by x to get x^2/x so both have the same denominator so we can combine them which gives us:

(x^2+1)/x=2

Move x to the other side and we get:

x^2+1=2x

Move it back and we get a quadratic equation of

x^2 - 2x + 1

This factors into (x-1)(x-1) meaning x=1

For all the other equations they are equal because x=1.

1 to the power of anything is still one so each of the equations below will result in: 1+1/1 which is 2.

Therefore all of them are equal.

Hope this helped!

Answer:

5/21

Step-by-step explanation:

=>4/7+(-1/3)

=>4*3/7*3+(-1*7/3*7)

=>12/21-7/21

=>5/21

Answer:

5/21

Step-by-step explanation:

        -1/3=7/21

= 5/21

Answer:

C&D

Step-by-step explanation:

I just took the quiz, I hope this helps! <3

Answer:

Real, Rational and integer

Step-by-step explanation:

source: trust me bro

Answer:

x-y/2z=3

2z(x-y)/2z = 3 × 2z

x-y = 6z

x-y/6 = 6z/6

z = x-y/6

x-y/2z = 3

2z(x-y)/2z = 3 × 2z

x - y = 6z

x-y+y = 6z + y

x = 6z + y

x-y/2z=3

2z(x-y)/2z = 3 × 2z

x-y = 6z

-x + x - y = 6z - x

-y = 6z - x

-y/-1 = 6z - x / -1

y = -6z + x

The expression is written as;

⇒ x = 6z + y

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

The expression is,

⇒ (x - y) / 2z = 3

Now, Simplify the expression for x as;

⇒ x - y = 3 × 2z

⇒ x - y = 6z

⇒ x = 6z + y

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Answer:

One tip I can give is to always line up your decimals when adding or subtracting.

Step-by-step explanation:

If you don't then you will get it wrong.

Answer:

4.5 hours

Step-by-step explanation:

So, let's write a function p(x) which represents the total cost.

Let's let x represent the amount of hours.

The cost of a piece is a constant 10.

And there is a $8 fee per hour. In other words:

[tex]p(x)=8x+10[/tex]

We spent a total of $46.

So, substitute in 46 for p(x) and solve for x:

[tex]46=8x+10[/tex]

Subtract 10 from both sides:

[tex]36=8x[/tex]

Divide both sides by 8:

[tex]x=36/8[/tex]

Reduce:

[tex]x=4.5[/tex]

So, we spent about 4.5 hours.

Answer:

-9w+12wx+3wy

Step-by-step explanation:

just distribute 3w through the parentheses

Answer:

Mmm... a product would be like 10+4=14

Step-by-step explanation:

thats what you are looking for right

Answer:

X,2,3

Step-by-step explanation:

LEARN THIS PLZ

Answer:

Step-by-step explanation:

Reflect over Ox axis , then translate x+6 , y-1

Answer: 2.6

Step-by-step explanation:

1. We know that A to C is 14

2. B to C is 11.4 so we're going to find the remainder to equal 14.

3. 14 minus11.4 which equals 2.6

4. AB is 2.6

Answer:

19

Step-by-step explanation:

Answer:

First one second one and fifth one.

Step-by-step explanation:

Got it right on edge

Answer:

100

Step-by-step explanation:

Ignore the 15 yard you have to use the center number which is 5 and multiply by the length 20 this gives you 100 becaus 20*5 equals 100. You got your answer!!

Answer:

x- intercept is at [tex]( \frac{3}{7} ,0)[/tex].

y-intercept is at [tex](0, - 3)[/tex].

Step-by-step explanation:

Please see the attached pictures for full solution.

Hey there!

[tex]\huge{ \fbox{ \sf{0.6}}}[/tex]

[tex]1/10*6[/tex]

Let's simplify.

[tex]1/10*6=0.6\\0.6\text{(ANSWER)}[/tex]

Hope this helps!

[tex]\text{Please rate this answer and thank!}\\\text{-TestedHyperr}[/tex]

Answer:

0.6

Step-by-step explanation:

1/10 * 6 = 0.6

0.6 is the answer to your question.

Answer: A) reflection over the x-axis, plus a vertical translation

Step-by-step explanation:

Ok, when we have a function y = f(x)

> A reflection over the x-axis changes a point (x, y) to a point (x, -y), then for a function (x , y = f(x)) the point will change to (x, -y =- f(x))

then for a funtion g(x), this tranformation can be written as h(x) = -g(x).

> A vertical translation of A units (A positive) up for a function g(x) can be written as: h(x) = g(x) + A.

Then in this case we have:

y = g(x) = ln(x)

and the transformed function is h(x) = -ln(x) + 64

Then we can start with h(x) = g(x)

first do a reflection over the x-axis, and now we have:

h(x) = -g(x) = -ln(x)

And now we can do a vertical translation of 64 units up

h(x) = -g(x) + 64 = -ln(x) + 64

Then the correct option is:

A) reflection over the x-axis, plus a vertical translation

Answer:

A

Step-by-step explanation:

edge

Answer:

C on edge

Step-by-step explanation:

20.8cm

Answer:

20cm

Step-by-step explanation:

Volume of cylinder = (pi) r^2 x height.

Rearrange:

500pi/5^2 pi = height

500pi/25pi = 20

Height = 20cm

Hope this helped!

Step-by-step explanation:

A function is a special type of relation in which each element of the domain is paired with exactly one element in the range. A mapping shows how the elements are paired in the mapping the second element of the range Associates with more than one element in the domain