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nata0808 [166]
3 years ago
6

The work of a student to find the dimensions of a rectangle of area 8 + 12x and width 4 is shown below:

Mathematics
1 answer:
iogann1982 [59]3 years ago
5 0

Answer:

Step 2: 4(2) + 4(3x)

Step-by-step explanation:

By definition, the area of a rectangle is given by:

Area = Length × Width

In this case, we know that:

Area = 8 + 12x

Width = 4

Therefore:

Step 1: 8 + 12x

Step 2: 4(2) + (4)(3x)

Step 3: 4(2 + 3x)

Therefore, the dimensions of the rectangle are 4 and 2 + 3x.

The mistake was made in STEP 2. Instead of 4(2) + 4(x2) it should be  4(2) + 4(3x). Which is the second option.

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Someone help and please answer it fully
IRINA_888 [86]

Answer:

No, Matt did not solve the equation correctly

Correct Answer: x = 8

Step-by-step explanation:

4(x + 2) = 30

Step 1: Distribute

4x + 2 = 30      =>     This is his mistake, he should completely distribute 4    

                                  to x and 2

Step 2: Subtract 2 from both sides/Isolate x

4x = 28           =>      This part is done correctly, but wrong because of Step 1

Step 3: Divide both sides by 4

x = 7                =>      This is correct, but again, he messed up on Step 1

<h3>Let's find the correct answer to this equation:</h3><h3>4(x +2) = 30</h3>

Step 1: Distribute

Remember to distribute 4 to all terms in the parenthesis.

4(x + 2) = 4(x) + 4(2)

            = 4x + 8

4x + 8 = 30

Step 2: Subtract 8 from both sides/Isolate x

Move all the terms that do not belong to x to the other side. We can do this by subtracting 8 from both sides  => (opposite operation of adding 8)

4x + 8 = 30

4x = 30 - 8

4x = 32

Step 3: Divide both sides by 4/Isolate x

Now we want x by itself. Since x is being multiplied by 4, we have to use the opposite operation, dividing by 4, to have x on one side by itself

4x = 32

4(x) = 32

x = 32 ÷ 4

x = 8

-Chetan K

7 0
3 years ago
Ms. Bell's mathematics class consists of 12 sophomores, 8 juniors, and 9 seniors. How many different ways can Ms. Bell create a
shtirl [24]

Answer:

792

Step-by-step explanation:

It's a combination question. The order is of no consequence. Also the fact that there are juniors and seniors is not important either.

So the answer is

12C5

12!

====

(12 - 5)! * 5!

12 * 11 * 10 * 9 * 8

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

5 * 4 * 3 * 2 * 1

792

7 0
3 years ago
This photo may seem normal and the guys seems happy but
azamat

Answer:

HA UR KINDA GAY

Step-by-step explanation:

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3 years ago
1 hours 20 min : 2 hours ratio<br>​
Alexxx [7]

1:20 i think sooo.Je suis américain et habite dans les montagnes vertes du vermont . Je premier apprend français il y a un an parce que c'est un beau langue . Oui, je sais mon français est mauvais, mais J'aime l'apprendre . Je suis dix-sept et j'ai un chien blanc petit . Ma famille l'appelle snowball et il est tres gentil . Mon préféré endroit en la monde est les montagnes car ils sont très beau dans tout quatre saisons . Merci pour votre temps et au revoir .

5 0
3 years ago
Patricia owned so many posters that she decided to sell 77 of them to her friends.after selling the posters she still had 186 le
allochka39001 [22]

Answer:

Patricia initially had 263 posters.

Step-by-step explanation:

p - 77 = 186

p = 186 + 77

p = 263

8 0
4 years ago
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