All categories

2 years ago

Which number line represents the solution of 4x - 9 ≥ -21? what would the number line look like ?

Mathematics

2 answers:

elixir [45]2 years ago

8 0

Steps to solve:

4x - 9 ≥ -21

~Add 9 to both sides

4x - 9 + 9 ≥ -21 + 9

~Simplify

4x ≥ -12

~Divide 4 to both sides

4x/4 ≥ -12/4

~Simplify

x ≥ 3

The number line will be in the picture below.

Best of Luck!

Fittoniya [83]2 years ago

5 0

Solve for x:

4x-9 >= -21

Add 9 to both sides:

4x >= -12

Divide both sides by 4:

X >= -3

The number line would have a solid dot on -3 with a line and arrow pointing to the right of -3

You might be interested in

Jack bought 4 dozen eggs at $10 per dozen. 6 were broken. what percent of his money goes to waste

Korvikt [17]

So, if he has 4 dozen eggs, ten dollars per dozen, he has spent $40 on 48 eggs. This means the cost of one egg = 48/40. This can simplify to 6/5 which is equal to $1.20. This means the value of one egg is $1.20, including the broken ones! So if six were broken, we multiply 1.20 x 6 which equals $7.20!

Use this "formula" to help find percentages

Part/Total = %( Percentage )/ 100

Now that we know how much money has gone to waste, we can plug in the known values into this "formula."

7.2/48 = x/100

Solve accordingly; cross multiply, 720 = 48x; divide both sides of the equation by 48 to isolate the variable, 720/48 = 48x/48; now you have your final answer which is:

15 = x; going back to the "formula" this means 15% of his money has gone to waste. I hope this helped! :)

5 0

1 year ago

The graph shows the distance Kendrick walks in different lengths of time.

Vlad1618 [11]

Answer:

1) 5

2) 0.2

Step-by-step explanation:

The complete question is attached below.

The x-axis represents the time in hours and y-axis represents the distance in kilometers.

The first question asks how many kilometers, does Kendrick walk per hour. The straight line represents the distance traveled at various amounts of time.

The point marked on the graph is against time = 1 hour and Distance = 5 km. So this shows:

Kendrick walks 5 kilometers in 1 hour.

In next part, we have to find how much time Kendrick takes to walk 1 kilometer.

Since, we know that:

Kendrick walks 5 kilometers in time = 1 hour

Dividing both sides by 5, we can write:

Kendrick walks 1 kilometer in time = 1/5 hour = 0.2 hour

So, Kendrick takes 0.2 hours to walk 1 kilometer.

7 0

1 year ago

Read 2 more answers

Harper knows he is 50 yards from school. The map on his phone shows that the school is 34 inch from his current location. How fa

laila [671]

To solve this problem you must apply the proccedure shown below:

1. We know that 1 yard is 36 inches, therefore, 50 yards expressed in inches is:

$(50)(36)=1800in$

2. If he is 50 yards from school and the map shows that the school is 34 inches from his current location, when it shows 3 inches the real distance is:

$\frac{(1800in)(3in)}{34in}=158.82in$

3. If you can to express it in yards:

$\frac{158.82}{36} =4.41 yd$

Therefore, the answer is: 158.82 inches or 4.41 yards.

8 0

1 year ago

Read 2 more answers

Q.1 - Adam is ordering pizza for a company party that he needs to have catered. Company A charges $8 for each pizza and a delive

Tasya [4]

Answer:

4. A) $\displaystyle x + 4 ≥ 7$

3. A) $\displaystyle x + 650 ≥ 1500; x ≥ 850$

2. D) $\displaystyle 0,95(9) + 1,25b ≤ 25$

1. C) $\displaystyle 8x + 45 < 12x + 5$

Step-by-step explanation:

4. Two families combined have at least 3 pets.

3. $1500 is your result, so everything else is straightforward simple, knowing that the keywords at least $1500 mean greater than or equal to $1500.

2. Find the correspondents, then determine what inequality to use. In this case, you will use less than or equal to because overpaying is UNNECESSARY.

1. Eight dollars each pizza and twelve dollars each pizza is 12x and 8x. The rest is straightforward simple because you now have your initial costs of $45 and $5, and the exercise tells you that the total charge for Company A is less than the total charge for Company B, therefore you have your answer.

I am joyous to assist you anytime.

3 0

2 years ago

Read 2 more answers

University graduates have a mean job search time of 38.1 weeks, with a standard deviation of 10.1 weeks. The distribution of job

Lera25 [3.4K]

Answer:

7.1 weeks to 68.4 weeks

Step-by-step explanation:

Chebyshev's Theorem states that:

75% of the measures are within 2 standard deviations of the mean.

89% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 38.1

Standard deviation = 10.1

Between what two search times does Chebyshev's Theorem guarantee that we will find at least 89% of the graduates

Between 3 standard deviations of the mean.

So from 38.1 - 3*10.1 = 7.8 weeks to 38.1 + 3*10.1 = 68.4 weeks

5 0

1 year ago