A factory produced 150 tons of steel in one year. The next year, the output increased to 180 tons. What is the percentage increase in the output?
A.
17%
B.
20%
C.
30%
D.
50%
E.
75%

Answer:

The correct answer to this problem is x = 4.

Step-by-step explanation:

To solve this problem, we can set up an equation using the given information.  We know that Point E lies along the segment DF, so we can write:

DE + EF = DF

Now, we can substitute the values given into our equation.

(3x-1) + (13) = 6x

The next step is to eliminate the parentheses and combine like terms on the left side of the equation.

3x - 1 + 13 = 6x

3x + 12 = 6x

Next, we should subtract 3x from both sides to move all of the variable terms to the right side of the equation.

12 = 3x

Finally, we can divide both sides by 3, in order to completely isolate the variable x on the right side of the equation.

4 = x

Therefore, the correct answer is x = 4.

Hope this helps!

Answer:  The length of one side is 9m.

Step-by-step explanation:

If area is 81 square meters, that means A = 81 m^2.

Since A = s^2, we can substitute s^2 for A.  Then

(s^2) = 81 m^2

Take the square root of both sides to solve for s:

(s^2)^(1/2) = (81 m^2)^(1/2)

s = 9 m

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

The expression that has the greatest value is 2x³

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example:

2 + 3x + 4y = 7 is an expression.

2x + 4 - 5x is an expression.

3x = 4 is an expression.

We have,

We will find the value of the expression when x = 3.

2x³ = 2 x 3³ = 2 x 3 x 3 x 3 = 64

2x³ + 5 = 2 x 3³ + 4 = 64 + 4 = 68

(2x)³ = 2³ x 3³ = 8 x 27 = 216

(x - 1)³ = (3 - 1)³= 2³ = 8

We see that,

2x³ has the greatest value.

Thus,

The expression that has the greatest value is 2x³

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Answer:

p=(9+\sqrt(353))/(34),(9-\sqrt(353))/(34)

Step-by-step explanation:

Answer:

The answer is

Step-by-step explanation:

(3x + 2)⁴

Using the Pascal's triangle

For an exponent of 4 we have

( a + b)⁴ = a⁴ + 4a³b + 6a²b² + 4ab³ + b³

Using a = 3x and b = 2 we have

( 3x +2)⁴ = ( 3x)⁴ + 4 [ (3x)³(2) ] + 6[ (3x)²(2)²] + 4 [ 3x(2)³ ] + 2⁴

Expand and simplify

That's

➢ ( 3x +2)⁴ = 81x⁴ + 4[ (27x³)(2) ] + 6 [ (9x²)(4) ] + 4 [ 3x(8) ] + 16

➢ 81x⁴ 4( 54x³) + 6(36x²) + 4( 24x) + 16

We have the final answer as

Hope this helps you

Answer:

I believe 1 4/10 further

The measure of arc EF = 146 degrees because its central angle = 146 degrees.

Answer:

(-1, -3/2)

Step-by-step explanation:

Answer:

Range: [1, 5]

Step-by-step explanation:

The range of a graph is all the y-values that are outputted by x-value inputs.

We see that our range spans from 1 to 5, and since they are closed dots, they are included in our range. Therefore, our range is [1, 5].

The number of miles is 7 1/2 miles option (A) is correct if Tyler rode his bike 43 1/8 miles in 5 3/4 hours

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

It is given that:

Tyler rode his bike 43 1/8 miles in 5 3/4 hours.

Let d is the number of miles Tyler ride his bike per hour

43 1/8 miles in 5 3/4 hours

345/8 miles in 23/4 hours

d miles in 1 hour

345/8 = 23d/4

345/2 = 23d

d = 345/46

d = 322/46 + 23/46

d = 7 1/2 miles

Thus, the number of miles is 7 1/2 miles option (A) is correct.

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Answer:

rational number

Step-by-step explanation:

A whole number would be just 8. Nothing behind it.

Answer:

24 cm²

Step-by-step explanation:

Volume of a prism is equal to the area of the base times the height of the prism.

V = Ah

The volume is 120 cm³, and the height is 5 cm.  Therefore, the area of the base is:

120 cm³ = A (5 cm)

A = 24 cm²

Answer:

-1 but your question doesn't make sense

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

1)First you want to write out your fractions:

-6       2

___ ÷  ___

 3        -9

2)When you are dividing fractions, you will have to do the reciprocal (flipped version) of 2/-9 and multiply the two fractions instead.

This is how your equation should look like now:

-6          -9

___   • ___

 3          2

3)Now you want to multiply the equation like this:

-6          -9      54

___  •  ___ = ______ = 9

3          2          6

4)You should get an answer of 9.

Answer:

6x^2 -4x +16

Step-by-step explanation:

(2x^2 -2x +7) + (4x^2 -2x +9)

6x^2 -4x +16

Answers:

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

Explanations:

Answer:

angle AOC=85

also

angle AOC = angle AOB + Angle BOC

85= 2x+10+4x-15

or, 6x= 90

x=15

BOC=2x+10= 2*15+10=40

angle AOB = 4x-15=4*15-10=5=45

Answer:

d

Step-by-step explanation:

If three distinct points lie in a plane, can also form a straight line. Therefore, option D is the correct answer.

Given that, if three distinct points lie in a plane, then the points can form a triangle.

We need to identify the counterexample for the conditional statement given.

A counterexample to a mathematical statement is an example that satisfies the statement's condition(s) but does not lead to the statement's conclusion. Identifying counterexamples is a way to show that a mathematical statement is false.

Now, if three distinct points lie in a plane, then the points always can not form a triangle.

If three distinct points lie in a plane, can also form a straight line.

Therefore, option D is the correct answer.

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Answer:

A. 37

Step-by-step explanation:

(fxg) (10)

Step 1.  G is the second letter, so we first use the equation g(x) = x-4

Step 2.  Plug in ten for x.   g(x) = 10-4

Step 3.  ten minus four is six.  g(x) = 6

Step 4.  Now the new x is 6 and we use the second equation next.

f(x) = x^2 + 1

Step 5.  Plug in six for x. f(x) = 6^2 + 1

Step 6.  six to the power of two is 36. f(x) = 36 + 1

Step 7.  36 plus one is 37. f(x) = 37

Step 8.  Answer is thirty seven!!!! Cheer!!!!

A';nswer:

a

Step-by-step explanation:

Answer:

The coordinates of point B is

Step-by-step explanation:

The midpoint M of two endpoints of a line segment can be found by using the formula

[tex]M = ( \frac{x1 + x2}{2} , \: \frac{y1 + y2}{2} )[/tex]

where

(x1 , y1) and (x2 , y2) are the points

Let the coordinates of B be ( x , y)

From the question the midpoint is ( 0 , 4) and A is (-7 , 5)

So we have

[tex](0 \: , \: 4) = ( \frac{ - 7 + x}{2} , \: \frac{5 + y}{2} )[/tex]

Next we compare the x and y coordinates of the midpoint to the x and y coordinates on the right hand side to find the missing coordinates

That's we equate them

So we have

[tex]0 = \frac{ - 7 + x}{2} \\ - 7 + x = 0 \\ \\ x = 7[/tex]

[tex]4 = \frac{5 + y}{2} \\ 8 = 5 + y \\ y = 8 - 5 \\ \\ y = 3[/tex]

So we have

x = 7 , y = 3

So the coordinates of point B is

Hope this helps you

Answer:

7,3

Step-by-step explanation:

Answer:

  9

Step-by-step explanation:

72 flowers in 8 equal rows will have 9 flowers in each row.

__

72 = 8 × 9

Answer:

There are 9 flowers in each of the 8 rows

Step-by-step explanation:

Kevin plants a total of 72 flowers in equal rows he plants 6 rows of yellow flowers and 2 rows of red flowers how many flowers are in each row

Solution

Total flowers = 72 in Equal rows

Yellow flowers = 6 rows

Red flowers = 2 rows

Rows of yellow flowers + Rows of rec flowers = 6 + 2

= 8 rows

Flowers in each row = Total flowers / total rows

= 72 flowers / 8 rows

= 9 flowers

Flowers in each row = 9 flowers

Answer:

see below

Step-by-step explanation:

On the real number line you can't

to graph them you have to make a Cartesian plane

with x= the real numbers

and y= the imaginary numbers

Answer:

8 months

Step-by-step explanation:

Answer:

The intersection is B

Step-by-step explanation:

It is B because every line meets up at the same spot which is B.

Please mark branliest if this helped you!

Answer:

The answer is 10x<8x+5 The cost of 10 yards of fabric is greater than the cost of 8 yards of fabric plus a $5 pack of buttons.

Step-by-step explanation:

When you multiply the sum and and the difference of 10x and 8x you will get the answer up there. I have done this test before when I was in middle school.

Answer:

It's The cost of 10 yards of fabric is less than the cost of 8 yards of fabric plus a $5 pack of buttons.

Step-by-step explanation: I took the test

Answer:

The equation of the line is y = 5x + 3

Step-by-step explanation:

Use the point given to find the y-intercept.

y=mx+b

-22=5(-5)+b

-22=-25+b

3=b

Answer:

1000m = 1 km

:. 6000m=6000/1000 =6km ans

hope it helps

plz mark as brainliest.

Answer:

how is this a question......