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3 years ago

What is the answer to 18x≤−108

Mathematics

2 answers:

blondinia [14]3 years ago

5 0

Answer:

x>-6

Step-by-step explanation:

divide -180 by 18

lbvjy [14]3 years ago

5 0

18x is less than or equal to negative one hundred eight. This is equivalent to: x is less than or equal to negative six. Divide both sides by eighteen to get: x is less than or equal to negative six.

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Evaluate 2/3x + 1/2 for x=3/4 (I just copied the exact question)

Travka [436]

Answer:

Step-by-step explanation:

(⅔)(¾) + ½

½ + ½

= 1

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3 years ago

Isaac has spent $20 to set up cable service and the monthly fee is $54.95. Write an equation to represent the total amount it co

Liono4ka [1.6K]

Do 54.95 + 20.00 and you get 80.95

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4 years ago

Read 2 more answers

In a right triangle ΔABC, the length of leg AC = 5 ft and the hypotenuse AB = 13 ft. Find the length of the angle bisector of an

Sauron [17]

Answer: the length of the angle bisector of angle ∠A is 6 ft

Step-by-step explanation:

The diagram of the right angle triangle ABC is shown in the attached photo

Looking at triangle ABC,

cos θ = adjacent side/hypotenuse side

cos θ = 5/13 = 0.3846

θ = 67.38 degrees

The bisector of an angle divides it into two equal halves. The bisector is represented by line AD.

θ/2 = 67.38/2 = 33.69 degrees

Therefore,

Cos 33.69 = 5/AD

AD × Cos 33.69 = 5

AD = 5/Cos 33.69 = 5/0.832

AD = 6 ft

3 0

3 years ago

Dave walked to his friends house at a rate of 4 mph and returned biking at a rate of 10 mph. If it took him 18 minutes longer to

vesna_86 [32]

Answer:

The total distance of the round trip was 4 miles

Step-by-step explanation:

1. Let's check all the information given to answer the question correctly:

Speed of Dave walking to his friend's house = 4 mph

Speed of Dave biking from his friend's house = 10 mph

Time walking is 18 minutes longer than time biking

2. What was the total distance of the round trip?

Time walking = x

Time biking = x - 18

For solving x, we will use the following equation:

4x = 10 * (x - 18)

4x = 10x - 180

-6x = - 180

x = -180/-6 (Dividing by - 6)

x = 30

Dave walked 30 minutes and biked 12 minutes, now we can calculate the total distance, this way:

30 minutes = 0.5 hours and 12 minutes = 0.2 hours

Total distance = 4 *0.5 + 10 * 0.2

Total distance = 2 + 2

Total distance = 4 miles.

3 0

3 years ago

Read 2 more answers

Reflection over the y-axis followed by a horizontal translation 1 unit left on the equation f(x)=x

aleksley [76]

Answer:

f(x) = -x -4 or f(x) = (-x)-4

Step-by-step explanation:

Let the graph of g be a translation of 4 units down followed by a reflection in the y-axis of the graph of f(x)=x. Write a rule for g.

Transformations can be found using this general formula: f(x) = a(bx-h)+k

For this question, we want a translation down as well as a reflection.

The two values we need to use are for k, a vertical translation, and b, a reflection over the y-axis.

Since we are translating down 4 units, k = -4

Since we are reflecting across the y-axis, b = -1

So, f(x)=(-x)-4

f(x)= -x -4

6 0

3 years ago