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Vika [28.1K]
3 years ago
14

How many solutions does the equation 3x − 7 = 4 + 6 + 4x have? Two Zero Infinitely many One

Mathematics
1 answer:
sleet_krkn [62]3 years ago
4 0

Answer:

one solution

Step-by-step explanation:

3x − 7 = 4 + 6 + 4x

Combine like terms

3x-7=4x+10

Subtract 3x from each side

-7=x+10

Subtract 10 from each side

-17 =x

There is one solution

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It takes 12 hours for 7 men to paint a room.
dangina [55]

28 men are needed to paint the room in 3 hours

<h3><u>Solution:</u></h3>

Given that it takes 12 hours for 7 men to paint a room

We are asked to find number of men required to paint the room in 3 hours

Recognize, "paint the room" is 1 task. One job.

7 men -------- 12 hours ------ 1 job

(7/7) = 1 men ------- 12 x 7 (84)  ------- same 1 job

The one men is rate is 84 hours to do the job

We can express this as 1/84 jobs per hour, the one-person rate

Now lets find how many men needed to paint the room in 3 hours

Let the required number of men for 3 hours be "a"

The rates of each person is simply additive.

a \times \frac{1}{84} \times 3 = 1

corresponds to rate x hours = jobs and "a" is a variable for how many men

a \times \frac{1}{28} = 28

Thus 28 men are needed to paint the room in 3 hours

4 0
2 years ago
The width of a DNA molecule is about 2.5 nanometers. A nanometer is 0.000000001 meter. Write the width of a DNA molecule in scie
Molodets [167]

Hey there!!

Scientific notation of 0.000000001 :

0.1 ⁻⁷

Hope it helps!

8 0
3 years ago
Read 2 more answers
Which is the graph of the linear inequality 2x – 3y &lt; 12?
lora16 [44]

On a coordinate plane, a dashed straight line has a positive slope and goes through (0, negative 4) and (3, negative 2) and to the left of the line is shaded.

<h3>What are the characteristics of the graph of the inequality?</h3>

Inequality of a graph is represented with the greater then(<), less then(>) or with the other inequity signs. The inequality line on the graph is represented with the dotted lines.

Characteristics of the graph of the inequality-

  • Open circle-When the value of the variable is equal to the given number, then the graph of the inequality has an open circle.
  • Closed circle-When the value of the variable is not equal to the given number, then the graph of the inequality has a closed circle.
  • The ray will move to the right-When the, value of the variable is greater than the number, then the ray will move to the right.
  • The ray will move to the left-When the value of the variable is less than the number, then the ray will move to the left.

The linear inequality given in the problem is,

2x - 3y < 12

The graph of this line is attached below. Here, for the greater than sign, every thing on the left of the graph is shaded, and the line will be dotted because of inequality as shown in the attached image.

Hence, on a coordinate plane, a dashed straight line has a positive slope and goes through (0, negative 4) and (3, negative 2) and to the left of the line is shaded.

Learn more about the characteristics of graph of the inequality here;

brainly.com/question/62792

#SPJ1

6 0
2 years ago
Kamal spent 40% of his income. He
Arte-miy333 [17]

Answer:

<em>(c) Rs. 1500</em>

Step-by-step explanation:

Percentages

It's given Kamal spent 40% of his income. With the remaining 60%, he deposited Rs. 400 in a bank and still has Rs. 500 left.

This means Rs. 400 + Rs. 500= Rs. 900 is 60% if his income.

The 100% of his income is calculated as a percent proportion:

If 60% is Rs. 900, then 100% is:

\displaystyle \frac{900}{60}*100=1500

Thus, Kamal's income is Rs. 1500. Correct choice: (c) Rs. 1500

5 0
3 years ago
How to do this ? Help!
sattari [20]
I can't see the image you added with the question :(((
4 0
3 years ago
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