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3 years ago

Are the following expressions equivalent? Why or why not? 6(2x + 4) and 12x + 24

Mathematics

1 answer:

MrMuchimi3 years ago

8 0

Answer: Yes

Step-by-step explanation:

When using the distributive property, 6(2x + 4) becomes 12x + 24

6 * 2x = 12x and 6 * 4 = 24

12x + 24 = 12x + 24

Therefore, the expressions are equivalent.

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Can someone please tell me if this is correct if it’s not can u tell me what’s the correct answer

bearhunter [10]

Answer:

2. option D and 3. option A

Step-by-step explanation:

2. 7 + y = 30

7 - 7 + y = 30 - 7

y = 23

3. w - 32 = 55

w - 32 + 32 = 55 - 32

w = 87

Basically the answers you choose are right. Hope this helps, thank you :) !!

8 0

3 years ago

Gray can ride his bike 6miles in 20 minutes at this rate how many miles can he ride in 100 minutes

oksano4ka [1.4K]

30. Since he can ride the bike 6 miles in 20 mins, and 100 divided by 20 is 5, the answer would be given to you by multiplying 5x6, which is 30. So he can travel 30 miles in 100 minutes.

4 0

2 years ago

Find the first term and the common ratio third term =6 and seventh term= 96

mamaluj [8]

Answer:

First term a₁ = 3/2 and common ratio r = 2

Step-by-step explanation:

We need to find the first term and common ratio while we are given third term = 6 and seventh term = 96

Since common ratio is required so, the sequence is geometric sequence

The formula used is: $a_n= a_1r^{n-1}$

We are given: third term = 6 i,e

$a_3=a_1r(3-1)\\6=a_1r^2----eq(1)$

Seventh term = 96

$a_7=a_1r(7-1)\\96=a_1r^6----eq(2)$

Dividing eq(2) and eq(3)

$\frac{96}{6}=\frac{a_1r^6}{a1r2}\\16=\frac{r^6}{r^2}\\16=r^{6-2}\\=> r^4=16\\Taking \ fourth \ root\\ r=2,-2,2i,-2i\\ \ We \ will \ consider \ only \ positive \ value \ of \ r \ i.e \ \textbf{ r= 2}$

So, Common Ratio r = 2

Finding First term using eq(1)

$a_3=a_1r^2\\6=a_1(2)^2\\6=a_1(4)\\a_1= \frac{6}{4}\\a_1= \frac{3}{2}$

So, First term a₁ = 3/2 and common ratio r = 2

6 0

3 years ago

In your office 1/8 of 288 employees work part-time how many are part-time

bearhunter [10]

That would be 1/8 times 288, so the answer would be 36 part time workers.

5 0

3 years ago

What is the value of f=(x)=16x when x= 1/2

zalisa [80]

For the second question, your first option is correct, you would rewrite 8 in power-base form 8=2^3 as the first step to solving the equation, power base form is exponential form.

4 0

3 years ago