All categories

2 years ago

Which of the following is the solution to the equation 2/3 over 3x = 12?

Mathematics

1 answer:

andrey2020 [161]2 years ago

7 0

Answer:

x = 54 and none of the alternatives given is correct

Step-by-step explanation:

Let's solve for x in the equation given, this way:

2/3 ÷ 3x = 12

2/3 * x/3 = 12

2x/9 = 12

2x = 108

x = 108/2 = 54

Proof of x = 54

2/3 * 54/3 = 108/9 = 12

x = 54 and none of the alternatives given is correct

You might be interested in

write and solve a real- world problem involving the multiplication of a fraction and a whole number whose product is between 10

Tomtit [17]

Answer:

Real word Problem:- Jean is working in a pizza shop. She has 60 kg of flour. She has used one-fifth of it for making pizzas. How much flour she used for making pizzas?

Solution:- Quantity of flour she has= 60 kg

The quantity she used in making pizzas= $\frac{1}{5}\ of\ 60$

$=\frac{1}{5}\times60=12\ kg$

hence, she used 12 kg of flour for making pizzas.

Here the multiplication of a fraction and a whole number $=\frac{1}{5}\times60$ and its answer is between 10 and 15, since 10<12<15.

4 0

2 years ago

Read 2 more answers

Write -1 as a power in three different ways

meriva

1,846^-1
362^-1
83,734^-1

3 0

2 years ago

Which of the following is algebraically equivalent to the sum of 4x^2 -8x +7 And 3x^2-2x-5

VARVARA [1.3K]

All you have to do, is combine like terms. Let's go through it:

$(4x^2-8x+7)+(3x^2-2x-5)$

Arrange it so you can easily combine like terms:

$4x^2+3x^2-8x-2x+7-5 = 7x^2-10x+2$

So, your answer for the sum is 1) 7x² - 10x + 2

5 0

2 years ago

A chef made 30 donuts in 60 minutes. How long would it take him to make 90 donuts?

Snowcat [4.5K]

$\bf \begin{array}{ccll} donuts&minutes\\ \cline{1-2} 30&60\\ 90&x \end{array}\implies \cfrac{30}{90}=\cfrac{60}{x}\implies \cfrac{1}{3}=\cfrac{60}{x}\implies x=180$

6 0

2 years ago

Read 2 more answers

-7(k-8)+2k

Vladimir79 [104]

Step-by-step explanation:

-7(k-8)+2k Use distributive property.

-7k+56+2k Combine like terms.

-5k+56

Mother knows best :)

4 0

3 years ago