All categories

2 years ago

The work of a student to solve the equation 4(2x − 4) = 8 + 2x + 8 is shown below:

1 answer:

5 0

Step 2...first error...when distributing through the parenthesis, u multiply, not add.

4(2x - 4) = 8 + 2x + 8 =
8x - 16 = 16 + 2x <== correction

You might be interested in

Question #3: Complete the statement below to show the correct value of 100%. Part A: The expression 100 3 = 10 because 100 = 102

BigorU [14]

Answer:

Step-by-step explanation:

Part A.

Expression $(100)^{\frac{1}{2}}$ = 10

Because 100 = $(10)^{2}$ and $[(10)^2]^{\frac{1}{2}}=10^1=10$

[Since, $(a^{2})^{\frac{1}{2}}=a^{2\times \frac{1}{2}}=a^1$ ]

Part B.

When simplified, the answer is RATIONAL.

[Since, 10 can be written as $\frac{10}{1}$ ]

6 0

2 years ago

there are five bells which ring at interval of 4,5,12 and 15 minutes respectively at what minute those bells ring at the same ti

Rus_ich [418]

<h3>Answer: 60 minutes</h3>

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

Explanation:

Let's find the LCM of 4 and 5, which are the first two items of the list.

multiples of 4 are: 4,8,12,16,20,24,...
multiples of 5 are: 5,10,15,20,25,...

The smallest item in each list is 20, so the LCM of 4 and 5 is 20.

We can replace the "4,5" in the list "4,5,12,15" with "20". So our new list would be "20,12,15".

We then repeat the process of finding the LCM of the first two items

multiples of 20 are: 20,40,60,80,...
multiples of 12 are: 12,24,36,48,60,72,...

LCM of 20 and 12 is 60.

The list "20,12,15" condenses to "60,15".

Repeat this process of finding the LCM once more and you'll find the overall LCM is 60.

Therefore, the LCM of the entire set {4,5,12,15} is 60. This is the smallest multiple shared by all four values. Interestingly enough, the outer values pair up to multiply to 60, and so do the inner values.

4*15 = 60

5*12 = 60

The bells ring together every <u>60 minutes</u>

In other words, all of the bells ring together at the same time every hour (perhaps at the top of every hour; eg at 7:00 pm and at 8:00 pm, etc).

8 0

2 years ago

3/4 divided by 4/5 is 15/16 is it in its lowest terms

Softa [21]

Answer:

yes it cant be siplified anymore

Step-by-step explanation:

8 0

3 years ago

Can someone please help me with this

Inessa05 [86]

To find the area of a prism, you calculate the area of the cross-section and multiply that number by the length. The cross-section of this prism is a trapezium, and the formula for this is $\frac{a+b}{2}h$ .
Insert your given numbers to find out the area of this prism's cross-section:
$\frac{3+12}{2}12=90$
Now, multiply 90 by the length, 10cm, to find out the volume of the prism;
90×10=900cm³
Therefore, your answer id the third option.

6 0

3 years ago

3e + 7 - e and 2e + 10 + 2e -3

ch4aika [34]

Answer:

The sum is

$6e + 14$

Step-by-step explanation:

Assuming we are finding the sum of :

3e + 7 - e and 2e + 10 + 2e -3

Then we set up the addition as follows:

$3e + 7 - e + 2e + 10 + 2e - 3$

We group similar try to get:

$3e - e + 2e + 2e - 3 + 7 + 10$

We now combine the similar terms to obtain:

$6e + 14$

Therefore the sum is

$6e + 14$

5 0

3 years ago