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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:

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:

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:

9

Step-by-step explanation:

ok so first if the place you're rounding to is 5 or more you round up and if the place is 4 or less then it stays the same

8.5

5 is 5 or more so you round up

to 9

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: 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:

5

Step-by-step explanation:

When you have a negative next to a negative, you can turn it into a positive. For example the -(-8) would now be +8. This is called the airplane strategy because it forms a airplane if you flip you sheet of paper or your device.

From here, we have -3+8.

Now we subtract since each value has a different sign and we get +5.

Hope this helps!! :)

Answer:

5

Step-by-step explanation:

-*-=+

-*+=-

+*+=+

-3-(-8)=5

-3+8=5

Answer:

Top right graph.

Step-by-step explanation:

In order for a graph to be a function, it must pass the Vertical Line Test. All the graphs fail to pass the Vertical Line Test except for the top right graph.

Each x-value must have only 1 y-value. No 1 x-value can hold 2 y-values.

Answer:

- 3.46 + ( - 4.23 ) = 7.69

- 5.6 + 27.4 = 21.8

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:

1.linear pair

2. neither

3. vertical

4. neither

5. vertical

6. neither

7. linear pair

8. neither

Step-by-step explanation:

the answers are starting from up to down, not side to side

We have the definitions of the Adjacent angles, linear angles, vertical angles.

So, from the figure we see that

Learn more:https://brainly.com/question/3182415

Answer:

C

Step-by-step explanation:

Prime factors: 2, 3, 3

Answer: 20

Step-by-step explanation:

Answer:

20

Step-by-step explanation:32-12=20

20+12=32

Answer:

What statements are you talking about

Step-by-step explanation:

Answer:

7/8

Step-by-step explanation:

Answer:

the answer to this problemis 1 1/3

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:

i think c 21600pi

Step-by-step explanation:

Answer:

C. 21600π

Step-by-step explanation:

Answer:

it is normal, but not right to act upon

Answer:

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

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:

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:

3

Step-by-step explanation:

Answer:

9 and 5

Step-by-step explanation:

There are many answers

Answer:

There could be a different answer but this is what i got.

Step-by-step explanation:

1 x 45,

3 x 15,

or 5 x 9