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Bas_tet [7]
2 years ago
13

Justify each step in solving the equation 6x = 3 (x + 4) by writing a reason for each statement.

Mathematics
1 answer:
BaLLatris [955]2 years ago
6 0
First thing is to multiply 3 by x and get 3x,then 3 by 4 equals 12. 3x+12....6x=3x+12...subtract 3x from 6x and get 3x=12..then divide 3 on both sides and 3x crosses out.. and x=4...this is what I have to say about this..
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If two fractions are between 0 and 1, can their product be more than 1? please explain. Thank You.
notka56 [123]

Answer:

B) always less than either of the original fractions

Step-by-step explanation:

We can easily Answer this by taking some values.

The question states that the two fractions, each have values between 0 and 1.

Let us say one of the fraction is 1/2 and the other fraction is 1/3 .

The product of the two fractions is 1/2 x 1/3 = 1/6 .

is lesser than both 1/2  and 1/3 .

So, the correct answer is that the product is always less than either of the original fractions.

6 0
3 years ago
Roberto has $200 in spending money. He wants to buy some video games that cost $25.50 each. Write and solve an inequality to fin
Veseljchak [2.6K]

Answer:

f(x) = 25.50x      Roberto can buy 7 video games

Step-by-step explanation:

Each game is $25.50 which in math means it has an "x"

So if x=1 then 25.50x says that 1 video game is $25.50

Set up the equation:

200 = 25.50x (divide both sides by 25.50 to isolate the x)

200/25.50 = 7.84

x = 7.84

You can't have 0.84 of a video game, so Roberto can only buy 7 of them.

3 0
3 years ago
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Question 5 of 5
makvit [3.9K]

Answer:what happened to  c and a

Step-by-step explanation:

4 0
2 years ago
The area of a triangle is 1,4440 cm^2. The base of the triangle is 5 times the height. What is the height of the triangle?
DochEvi [55]

Answer:

h = 24 cm

Step-by-step explanation:

The formula for area of a triangle is

A = (1/2)bh     where b is the base and h is the height.

We are told that the base is 5 times the height, this translates to

b = 5h, so we can rewrite our formula to

A = (1/2)(5h)(h)  or

A = (1/2)5h²

We are given A = 1,440, so plug that in and solve for h...

1,440 = (1/2)5h²

    2,880 = 5h²    (multiply both sides by 2 to get rid of the fraction)

      576 = h²    (divide both sides by 5 to get the h value by itself)

         24 = h     (take the square root of both sides)

3 0
3 years ago
A church building fund has $3.2 million in it, which is 60% of the amount necessary for the project. What
Alexandra [31]

Answer:

$5.4 Million

Step-by-step explanation:

3.2 mill/x = 60/100

3.2 mill x 100 = 60x

320 mill = 60x

x = 5.3333 million, rounded up to 5.4 million

5 0
2 years ago
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