Determine the midpoint of the line segment shown in the figure below

Answer:

See below

Step-by-step explanation:

[tex]2(4x + 1) = 4(2x + 5)[/tex]

[tex]8x + 2 =8x + 20[/tex]

[tex]\nexists x \in \mathbb{R} \text{ That makes the equality true}[/tex]

The equation has no solution because no matter what the value we plug for [tex]x[/tex] in the equation, it will not be true and will lead to a contradiction. This is the meaning of not having a solution.

Number of oranges is (2a + 2)

Half the number of oranges is 1/2(2a + 2)

Half the number of apples is 1/2a

The difference between half the number of oranges and half the number of apples equals 4 looks like this:

1/2(2a + 2) - 1/2a = 4

Now solve.

1/2(2a + 2) - 1/2a = 4 (multiply 1/2 by what's inside the parenthesis)

1a + 1 - 1/2a = 4

1a + 1 -1 - 1/2a = 4 - 1

1a - 1/2a = 3

1/2a = 3

1/2a ÷ 1/2 = 3 ÷ 1/2

a = 6

He has 6 apples.

Substitute 6 into the equation for the number of oranges.

2a + 2

2(6) + 2 = 14

He has 14 oranges.

Check your work.

The difference between half the number of oranges (7) and half the number of apples (3) does indeed equal 4.

Therefore, the equation has one solution.

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Solving for x

The solutions to the polynomial equation [tex]x^3 - 7x^2 - x + 7 = 0[/tex]are[tex]x = 1, x = 7,[/tex] and [tex]x = -1.[/tex]

The given polynomial is [tex]x^3 - 7x^2 - x + 7 = 0[/tex]

We can observe that the polynomial has a common factor of (x - 1).

By dividing the polynomial by (x - 1), we can simplify the equation:

[tex](x - 1)(x^2 - 6x - 7) = 0[/tex]

Now we have factored the polynomial equation as a product of two factors, [tex](x - 1)[/tex] and [tex](x^2 - 6x - 7).[/tex]

To find the solutions, we set each factor equal to zero and solve for x.

Setting [tex](x - 1) = 0[/tex], we get [tex]x = 1.[/tex]

Now, let's solve the quadratic factor [tex](x^2 - 6x - 7) = 0[/tex]

Using factoring or the quadratic formula, we find the roots of the quadratic equation:

[tex]x^2 - 6x - 7 = 0[/tex]

[tex](x - 7)(x + 1) = 0[/tex]

Setting each factor equal to zero:

[tex]x=7[/tex] and [tex]x=-1[/tex]

Therefore, the solutions to the polynomial equation [tex]x^3 - 7x^2 - x + 7 = 0[/tex]are[tex]x = 1, x = 7,[/tex] and [tex]x = -1.[/tex]

To learn more on Polynomials click:

https://brainly.com/question/11536910

#SPJ6

Answer:

3x - 5 = 10

Step-by-step explanation:

Answer:

$393.20

Step-by-step explanation:

There are two easy ways to solve this:

1) Use a setup and cross multiply.

First, set up your problem.

$ x    =  40%

$983    100%

$983 is the total amount, so it is equal to 100%. We're trying to find 40% of it, so we can label the amount as $x. Remember, each side has to be in the same type of measurements (i.e. dollars, percentages, inches, etc.).

Then, cross multiply. You should end up with:

100x = 39,320

Then, simplify.

x = 393.2

x = $393.20

2) Convert the percentage to a decimal and multiply.

First, convert the percentage you're looking for into a decimal:

40% × 100 = 0.4

Then, multiply the decimal with the total sales amount:

$983 × 0.4 = 393.2

                   = $393.20

40% × 100 = 0.4

$983 × 0.4 = $393.20

Bill earns $393.20 commission total.

Answer:

The rectangle is 18 square inches

Step-by-step explanation:

A rectangle has Length that is twice its Width.

The Width = 3.

What is the area of the rectangle?

First, we know that L, the length, is 6 (twice as long as its width).

Remember that the area of a rectangle is Length times Width:

A  =  L W

and so

A  =  6  ×  3  =  18

The rectangle is 18 square inches

Answer:

Jessica: 10 orders

Lamar: 18 orders

Kareem: 36 orders

Step-by-step explanation:

Let's first designate each person with a letter.

The number of orders served by Jessica can be designated as [tex]J[/tex]

The number of orders served by Kareem can be designated as [tex]K[/tex]

The number of orders served by Lamar can be designated as [tex]L[/tex]

We know that they all served a total of 64 orders. This can be expressed as the sum of their orders equaling 64.

[tex]J+K+L=64[/tex]

We also know that Jessica served 8 fewer orders than Lamar. This can be expressed as the number of orders served by Jessica, [tex]J[/tex], being equal to Lamar's orders [tex]L[/tex] minus 8.

[tex]J = L-8[/tex]

Fianlly, we know that Kareem served twice as many orders as Lamar. This can be expressed as the number of order's served by Kareem, [tex]K[/tex], being 2 times Lamar's orders [tex]L[/tex].

[tex]K = 2L[/tex]

With these 2 equalities, we can substitute [tex]J[/tex] and [tex]K[/tex] in our original equation,

[tex]J+K+L=64[/tex]

with their values expressed as a subtraction or multiplication of [tex]L[/tex].

[tex]J[/tex] will be substituted with [tex]L-8[/tex], and [tex]K[/tex] will be substituted with [tex]2L[/tex].

[tex]J+K+L=64[/tex]

With substitutions:

[tex](L-8) + 2L + L = 64[/tex]

We can simplify this by combining the L-terms:

[tex]L + 2L + L -8 = 64\\4L - 8 = 64[/tex]

Next, we'll add 8 to both sides.

[tex]4L = 72[/tex]

Divide both sides by 4:

[tex]L = 18[/tex]

Thus, Lamar served 18 orders.

Using our expressions, we can find how many orders the others served.

Jessica:

[tex]J = L-8\\J = 18 -8\\J = 10[/tex]

Jessica served 10 orders.

Kareem:

[tex]K = 2L\\K = 2*18\\K = 36[/tex]

Kareem served 36 orders.

Answer:

C

Step-by-step explanation:

Prime factors: 2, 3, 3

Answer:

the answer to this problemis 1 1/3

Answer:

i think c 21600pi

Step-by-step explanation:

Answer:

C. 21600π

Step-by-step explanation:

Answer:

the answer is "d" because the x region is negative 2 and the y region is a positive1

Answer:

Step-by-step explanation:

12x²-3x=2

[tex]x^2-\frac{1}{4}x=\frac{1}{6}\\x^2-\frac{1}{4}x+\frac{1}{64}=\frac{1}{6}+\frac{1}{64}\\(x-\frac{1}{8})^2=\frac{ 32+3 }{192}=\frac{35}{192}\\\\(x-\frac{1}{8} )^2-(\sqrt{\frac{35}{192} } )^2=0\\(x-\frac{1}{8} +\sqrt{\frac{35}{192} } )(x-\frac{1}{8} -\sqrt{\frac{35}{192} } )=0[/tex]

Answer:

Question 1: 131.25 Question 2: 83.33 Question 3. 133.33

Step-by-step explanation:

1. 131.25% x 150

2. Trial and error

3. 60 ÷ 45%

Answer:

Step-by-step explanation:

Perimeter of a rectangular wall P = 2L+2W

L is the length of the wall

W is the width

Given

P = 148feet

If the width is two more than seven times the length, this is represented as

W = 7L+2

Substitute W = 7L+2 into the formula above

P = 2L + 2(7L+2)

P = 2L +14L+4

P == 16L+4

148 = 16L+4

16L = 148-4

16L = 144

L = 144/16

L = 9

To get the width

W = 7L+2

W = 7(9)+2

W = 63+2

W = 65feet

Hence the width of the rectangular wall is 65feet

Answer:

24

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

you can split it into two parts. One with 4 x 3 = 12 and the other with 2 x 6 = 12. then add them together and you get 24.

Answer:

x = 3

Step-by-step explanation:

Side lenght of square = (x + 3)

Side length of equilateral triangle = (3x - 1)

It is Given that:

Perimeter of square = Perimeter of equilateral triangle

4 times side length of square = 3 times side length of equilateral triangle.

[tex] \therefore \: 4(x + 3) = 3(3x - 1) \\ \\ \therefore \: 4x + 12 = 9x - 3 \\ \\ \therefore \:12 + 3 = 9x - 4x \\ \\ \therefore \:15 = 5x \\ \\ \therefore \:x = \frac{15}{5} \\ \\ \huge \red{ \boxed{\therefore \:x = 3}}[/tex]

Answer: b

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

9-6=3

Answer:

i don't it is correct or not........

Step-by-step explanation:

The Mass of Earth = 5.9742 × 1024 kilograms == == The Earth is (As of May 2000) is thought to be approximately 5.972 sextillion (5,972,000,000,000,000,000,000) metric tons.

A metric ton is a thousand kilograms, or 2,204.62 pounds.

Approximately 6,000,000,000,000,000,000,000,000 (6x1024) kilograms.

Answer:

Mass on water on earth is 29.5×10^20 kg approximately.

Step-by-step explanation:

Mass of earth= 5.9726 × 10^ 24 kg

water's mass is only 5 × 10 -4 percent of the Earth's total mass.

so mass of water = 5.9726×10^24 kg×5×10^-4=29.8603×10^20kg approximately

Answer:

the answer is d, anything lower than 3 would make the solution incorrect

Answer:

Someone please help me because i have this question on my test someone please help us

Step-by-step explanation:

Answer:

7/8

Step-by-step explanation:

Answer:

In multiplication the numbers you multiply are called factors; the answer is called the product. In division the number being divided is the dividend, the number that divides it is the divisor, and the answer is the quotient.

Answer:

m=-3

Step-by-step explanation:

Answer:

m = -3

Step-by-step explanation:

Simplify  -5m - 2m  to  -7m

-7m = 21

Divide both sides by -7

m = 21/-7

Simplify 21/-7 to -3

m = -3

Hope this helps!

-Jerc

Answer:

What statements are you talking about

Step-by-step explanation: