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Nimfa-mama [501]
3 years ago
11

For #1-2, model each expression. Then simplify the expression. Expression Model Simplified 1. 3(2x + 1) 2. 2(3x – 2) In #3-4, si

mplify the expression. Models are optional. 3. 4(x + 1) 4. –2(x + 3)
Mathematics
2 answers:
charle [14.2K]3 years ago
7 0

Answer:

to be continued

Step-by-step explanation:

:-()

lesantik [10]3 years ago
4 0

Answer:

see below

Step-by-step explanation:

1.  3(2x + 1)

Distribute

3 * 2x +3*1

6x+3

2. 2(3x – 2)

Distribute

2 * 3x - 2 *2

6x -4

3.  4(x + 1)

Distribute

4*x +4*1

4x+4

4.  –2(x + 3)

Distribute

-2*x -2*3

-2x-6

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Dave won a hot dog eating contest by eating 18 hot dogs in 10 minutes. He ate two more than twice the amount of the runner-up. W
geniusboy [140]

Answer:

The correct anser is option

B. 2x + 2 = 18

Step-by-step explanation:

Let the number of hot dogs eaten by the runner up be represented by x

If Dave ate 2 more than twice x, this means that the number eaten by him = 2x + 2

Since the total number of hot dogs eaten by Dave is 18

Therefore, the equation will be

2x + 2 = 18

So the number of hot dogs eaten by the runner-up is determined by solving for x

2x= 18-2

2× = 16

x = 16/2

x = 8

The runner up are 8

While Dave are

2×8 + 2 = 18.

7 0
3 years ago
Read 2 more answers
Bart used place value and the distributive property to rewrite the expression 6(412). His work is shown below. 6(412) = 6(400 +
egoroff_w [7]

Bart should;

Multiply 6(400), 6(10), and 6(2) ⇒ 2nd

Multiply each addend by 6 ⇒ 4th

Find the sum of (2400 + 60 + 12) ⇒ 5th

Step-by-step explanation:

Let us revise the distributive property

  • a(b + c) = ab + ac
  • a(b + c + d) = ab + ac + ad

Bart used place value and the distributive property to rewrite the

expression 6(412)

His work is shown 6(412) = 6(400 + 10 + 2)

We need to know what Bart should do to find the product

∵ 6(412) = 6(400 + 10 + 2)

- Multiply each number in the bracket by 6 in the right hand side

∴ 6(400 + 10 + 2) = (6)(400) + (6)(10) + 6(2)

∴ 6(400 + 10 + 2) = 2400 + 60 + 12

∴ He should to multiply each addend by 6 and then find the sum of

  (2400 + 60 + 12)

Bart should;

Multiply 6(400), 6(10), and 6(2)

Multiply each addend by 6

Find the sum of (2400 + 60 + 12)

Learn more:

You can learn more about the place value in brainly.com/question/120752

#LearnwithBrainly

5 0
3 years ago
Read 2 more answers
Jan spends part of her year as a member of a gym. She then finds a better deal at another gym, so she cancels her membership wit
ivann1987 [24]

Answer:

Number of months spent in first gym = 9

Number of months spent in second gym = 3

Step-by-step explanation:

Let she spent x months in a year at first gym and y months in a year at second gym

Now, there are 12 months in one year

⇒ x + y = 12

y = 12 - x .......(1)

Now, total money she spent in one year = $825

⇒ 75·x + 50·y = 825 .........(2)

Putting value of y from equation (1) in equation (2)

75·x + 50·(12 - x) = 825

⇒ 75·x - 50·x + 600 = 825

⇒ 25·x = 225

⇒ x = 9

Now, putting this value of x in equation(1)

⇒ y = 12 - 9

⇒ y = 3

Hence, number of months spent in first gym = 9

And number of months spent in second gym = 3

7 0
4 years ago
Find the length of AC Use that length to find the length of
Gekata [30.6K]

Answer:

1. AC = 5 cm

2. CD = 10.7 cm

Step-by-step explanation:

Looking at the left triangle, we see that AC is the side "opposite" of the angle given and AB is the "hypotenuse".

Which trigonometric ratio relates "opposite" to "hypotenuse"?

<em>Yes, that's SINE.</em>

<em />

So we can write:

Sin(30)=\frac{AC}{10}\\AC=10*Sin(30)

We know from 30-60-90 triangle, Sin(30) = 0.5, so we have:

AC=10*Sin(30)\\AC=10*0.5\\AC=5

Thus,

AC = 5 cm

Now, looking at right side triangle, we know AC, side "opposite" and we want to find CD, side "adjacent". Which trig ratio relates these 2 sides?

<em>Yes, that's tan!</em>

Thus we can write:

Tan(25)=\frac{5}{CD}\\CD=\frac{5}{Tan(25)}

Now using calculator, we get our answer to be:

CD = \frac{5}{Tan(25)}=10.7

So

CD = 10.7 cm

8 0
3 years ago
Graphing (y=x+6) (y=-2x-3)
nignag [31]

Answer:

srry its black but thats how you would graph it

Step-by-step explanation:

8 0
3 years ago
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