Identify which values are solutions of 3x −4 ≥ 5.

The answer would be 12.5 ft

This is because you know that if you cast a shadow of 8 feet and you are 5 feet then a lamp post that is 12.5 feet will have a 20 foot shadow.

To solve for the height of the lamppost, we can use the equation h = (5/8) * 20, derived from the ratio of height to shadow length across similar triangles.

To determine the height of the lamppost using the shadow lengths, we apply the concept of similar triangles. Since the student's height and shadow form a right-angled triangle, and the lamppost and its shadow do as well, the two triangles are similar by the angle-angle similarity postulate. Thus, the ratio of the height to the shadow length is constant for similar triangles created by an object and its shadow under the same lighting conditions.

The relationship for the student can be expressed as student's height / student's shadow length, which is equal to 5 feet / 8 feet. For the lamppost, the relationship can be described as height of lamppost (h) / lamppost's shadow length, which is h / 20 feet. Therefore, the proportion can be set up as:

5/8 = h/20

Multiplying both sides of the proportion by 20 gives us the equation to solve for h, the height of the lamppost:

h = (5/8) * 20

Hey there!!

Given :

... 4x = 420

If we divide 4 on both sides, we will get the value of ' x '.

... x = 420 / 4  

... x = 105

Hope my answer helps!!

Hello!

Solve for x.

[tex]4x = 420[/tex]

Explanation:

↓↓↓↓↓↓↓↓↓↓↓

First you had to divide by 4 from both sides of the equation.

[tex]\frac{4x}{4}=\frac{420}{4}[/tex]

Simplify it should be the correct answer.

[tex]x=105[/tex]

Answer⇒⇒⇒⇒x=105

Hope this helps!

Thank you for posting your question at here on Brainly.

Have a great day!

-Charlie

Question: The area of triangle MNP is how many times the area of triangle JKL?

Answer: The answer you want would be 9... The area of triangle MNP is 9 times larger than the area of triangle JKL.

Explanation: It would be 9 times larger because it says the base and height which means multiply the base and the height so it would be 3*3=9

Hope It Helps!!

The area of triangle MNP is 9 times the area of triangle JKL.

The area of a triangle is equal to half the product of its base and height. Let's say the base and height of triangle JKL are represented by b and h respectively. According to the question, the base and height of triangle MNP are 3 times as long as triangle JKL, so the base and height of triangle MNP would be 3b and 3h respectively.

Now, let's calculate the area of triangle MNP:

Area of MNP = 1/2 * (3b) * (3h) = 9/2 * b * h

Similarly, the area of triangle JKL would be:

Area of JKL = 1/2 * b * h

To find the ratio of the areas, divide the area of MNP by the area of JKL:

Area of MNP / Area of JKL = (9/2 * b * h) / (1/2 * b * h) = (9/2) / (1/2) = 9

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the complete question is given below:

The base and height of triangle MNP are 3 times as long as the base and height of triangle JKL. The area of triangle MNP is how many times the area of triangle JKL?

Last year a man earned 19,200. This year his salary increased to 20,736. What was the percent of his increase ?

Solution

Here we have to use the formula.

Percentage of increase =[tex]\frac{Increase}{Original number}  *100[/tex]

Increase in earning = 20, 736 - 19,200 = $1536

Original number = 19,200

Now plugin these values into the formula, we get

Percentage of increase = [tex]\frac{1536}{19200} *100 = \frac{153600}{19200} = 8[/tex]%

The answer is 8%

Hope you will understand the steps.

Thank you. :)

gcf(84,96) = 12

I hope this helps :))

GCF is 12

Example Simplified Fraction:  84/96 => 7/8

The correct answer is 12

Hope This Helps!!!

Yes because 10 to the power of 2 is 100 and if she runs 15 minutes a day for 7 days that would = 105 minutes

Let the necessary amount of water be x.  Then (1.00)(1 gallon antifreeze) = 0.40(x+1 gallon), or 1 = .40x + .40.  Combining like terms:  0.60 = 0.40x.

Then x = 0.60 / 0.40 = 1.5.

Adding 1.5 gallons of water to that 1 gallon of pure antifreeze results in 2.5 gallons of 40% antifreeze.

To create a solution that is 40% antifreeze, you would add .6 gallons of water to 1 gallon of pure antifreeze, using a ratio to determine this.

To find out how much water should be added to a gallon of pure antifreeze to create a solution that is 40% antifreeze, you would use a ratio. We find that 40% of a gallon of antifreeze is .4 gallons, as 1 gallon is equivalent to 100%. If this .4 gallons represents 40% of our final solution, that means the remaining 60% must be water.

Next, we set up a ratio. If .4 gallons is 40%, then x gallons is 60%. This gives us .4/40 = x/60. Simplifying that equation, we find that x equals .6 gallons.

In conclusion, to get a solution that is 40% antifreeze and 60% water, you need to add .6 gallons of water to 1 gallon of antifreeze.

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Final answer:

To find the measure of angle KNL, we need to add the given upward-left obtuse angle and the downward-right acute angle. Simplify the expression to find the measure of angle KNL.

Explanation:

The question is asking for the measure of angle KNL. We are given that lines MK and JL intersect at their midpoint N. We are also given that the upward-left obtuse angle is labeled as (5x+2) degrees and the downward-right acute angle is labeled as [3(x+14)] degrees.

To find the measure of angle KNL, we need to add the two given angles together since angle KNL is formed by the intersection of these two lines. So, we have:

m angle KNL = (5x+2) + [3(x+14)]

Simplifying the expression, we get:

m angle KNL = 5x + 2 + 3x + 42

m angle KNL = 8x + 44

Therefore, the measure of angle KNL is 8x + 44 degrees.

Final answer:

The measure of angle m∠KNL is 136°.

Explanation:

The question asks for the measure of the angle m∠KNL. It provides some information about the angles formed by the line segments MK and JL. The upward-left obtuse angle is labeled as (5x+2)° and the downward-right acute angle is labeled as [3(x+14)]°. To find m∠KNL, we need to solve for x and substitute it into one of the angle expressions.

We know that the sum of the measures of the angles in a triangle is 180°. Since m∠KNL is opposite the obtuse angle (5x+2)°, we can write the equation as: (5x+2)° + [3(x+14)]° + m∠KNL = 180°.

Simplifying the equation by expanding the brackets and combining like terms, we get: 5x + 2 + 3x + 42 + m∠KNL = 180. Combining like terms further, the equation becomes: 8x + m∠KNL + 44 = 180. To isolate m∠KNL, we subtract 44 from both sides, resulting in: 8x + m∠KNL = 136. Therefore, the measure of angle m∠KNL is 136°.

They are always on a coplanar

Answer:

Perpendicular lines are always coplanar.

Step-by-step explanation:

Coplanar lines are lines drawn on the same plane. So whenever you have

perpendicular lines (i.e lines at right angle to each other), they are always coplanar. This is because they are drawn on the same plane.

i think its A. hours

Answer:

Select the most appropriate unit for the measure of time that the graph represents.

A.  hours

B.  days

C.  weeks

D.  years

Step-by-step explanation:

Since it is not a straight line, but a curved one, because it does not have a uniform rectilinear movement, the most appropriate unit of time would be for hours.

The answer is: A. hours.

both of those mark the answer or number smaller

Division is basically repeated subtraction.

For example, if you ask "what is 6 divided 2?", you're asking "how many times do I need to subtract 2 from 6 until I get to 0?"

Let's see it in action

6/2

6 - 2 - 2 - 2 = 0

As you can see, you subtract 2 from 6 three times, so 6 divided by 2 is 3.

3n - 4

substitute t = 5 - n into f(t)

f(5 - n) = 11- 3(5 - n) = 11- 15 + 3n = 3n - 4

[tex]h(t)=11-3(5-n)[/tex]                 Substitute [tex]5-n[/tex] to [tex]t[/tex] in this equation

[tex]h(t)=11-15+3n[/tex]                 Use Distributive property

[tex]h(t)=3n-4[/tex]                        Combine Like Terms

*(Answer)*= [tex]h(t)=3n-4[/tex]

The total amount of time would be 1 hour and 40 minutes or 1.66666 hours.

I hope this helps :)

Hello!

-5=c/7

Switch the sides!

Multiply both sides by 7.

7c/7=7(-5)

c=-35

Hopefully this makes sense! :-)

-4 is to the right of -7 . -4 is located to the left of -1.

For #10

x=2     w(x)= 5

x=0     w(x)=-9

x=1     w(x)=-1

x=4    w(x)=7

To get these answers, you must use the p(x) table. When x=2, p(x)=6. So you would substitute p(x) for 6 and solve. That would be what you would do for the rest of teh problems.

For #12, the answer would be 5x^2+15x+5

Just mutiply the areas of the out side and inside and subtract them

Solution

g(x) = 2[tex]x^{2}[/tex] - 11x

Plugging in x = -1 in g(x), we get

g(-1) = 2[tex](-1)^{2}[/tex] - 11(-1)

Now we have to simplify it.

g(-1) = 2*1 + 11

g(-1) = 2 + 11

g(-1) = 13

So the answer is D) 13.

Thank you. :)

the answer is 0=0 because there is infinite solutions

13 + 3p + 10 = 23+ 3p

23+ 3p= 23+3p

23-23= -3p+3p

0=0

The answer is -10

As the given equation is

[tex]kx - 4y - k = 0[/tex]

Putting the value of x as -1 and y as 5

[tex]k (-1) - 4 (5) - k = 0[/tex]

[tex]-k -20 - k = 0[/tex]

[tex]-2k -20 = 0[/tex]

[tex]K = -10[/tex]

So the value of k is 10

Hey there!!

Shape given - Cylinder

In order to find the amount of gas the vessel can hold, we will have to find the volume of the cylindrical vessel.

How do we find the volume of a cylindrical vessel?

The formula : πr²h

Where ' r ' is the radius and ' h ' is the height.

The height is given by 9 feet.

The diameter is given by 6 feet. This is the tricky part, we will have to use the radius not the diameter.

The diameter = Radius + Radius

6 = radius + radius

6 = 2 × radius

Dividing 2 on both sides

6 ÷ 2 = radius

Hence, the radius is 3 feet.

We have :

Height = 9 feet

Radius = 3 feet

Volume : π ( 3 )² ( 9 )

... π × 9 × 9

... π × 81

... 3.14 × 81

... 254.34 feet³

Hence, the amount could be held in the cylindrical is 254.34

Hope my answer helps!!

Answer:

81 pi or 254.469004941

Simplify. Combine like terms:

In the first question, combine terms with the same variables:

2a - 4b + 6b - 3a = 2a - 3a - 4b + 6b = -a + 2b

-a + 2b is your answer

In the second question, do the same:

3a + 5b - 6a + 3b = 3a - 6a + 5b + 3b = -3a + 8b

-3a + 8b is your answer

hope this helps

first

-a + 2b is your answer

In the second one you do it the same wayy

3a + 5b - 6a + 3b = 3a - 6a + 5b + 3b = -3a + 8b

-3a + 8b is your answer

an there is your twoo answers

m = number of medium pizzas; each medium pizza costs $5

5m = cost of m number of medium pizzas

L = number of large pizzas; each large pizza costs $8

8L = cost of L number of large pizzas

The total cost is the sum of the cost of the medium pizzas and the cost of the large pizzas, so the total cost is 5m + 5L.

You have $45, so the total cost of the pizzas must equal $45.

The equation is

5m + 8L = 45

Set the first number as x.

Note that three consecutive integers are 3 numbers that are 1 greater than the previous.

(x) + (x + 1) + (x + 2) = 72

Simplify. Combine like terms

3x + 3 = 72

Isolate the x. Note the equal sign. What you do to one side, you do to the other. Do the opposite of PEMDAS. First, subtract 3 from both sides

3x + 3 (-3) = 72 (-3)

3x = 69

Next, divide 3 from both sides

3x/3 = 69/3

x = 23

------------------------------------------------------------------------------------------------------------------------

23 is your first answer

Plug in 23 for each x.

------------------------------------------------------------------------------------------------------------------------

(x) + (x + 1) + (x + 2) = 72

(x) = 23

(x + 1) = 23 + 1 = 24

(x + 2) = 23 + 2 = 25

23, 24, 25 are your answers

------------------------------------------------------------------------------------------------------------------------

~Rise Above the Ordinary

Three consecutive integers have a sum of 72.

So They will: x, x+1, x+2

x + (x +1) + (x+ 2) = 72

= 3x + 3 = 72

= 3x = 72 - 3

= 3x = 69

= x = 33

By putting value of x in: x, x+1, x+2

Hence the integers will be: 33, 34,35

This exercise is about Place Value. The kind of things that have prices with a leftmost digit in hundreds place are:

The kind of things that have prices with a leftmost digit in thousands place are:

The kind of things that have prices with a leftmost digit in ten thousands place are:

Place Value is the value of a digit as given by its position in the number such as ones, tens, hundreds, etc.

For example, the place value of 6 in 3468 is 6 tens, or 60. See the attached image explaining place value of numbers.

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Answer:

range ⇒ answer D

Step-by-step explanation:

* Lets explain how to solve the problem

- Outlier an extreme value in a set of data which is much higher or

 lower than the other numbers

- Outliers affect the mean value of the data but have little effect on the

 median or mode of a given set of data

* Lets solve the problem

∵ The data are 10 , 12 , 13 , 14 , 15 , 16 , 42

∵ The median is the middle number of the set of data

∵ The middle number is 14

∴ The median is 14

- If we remove the outlier then:

∴ The median will be the average of the two middle numbers 13 , 14

∴ The median = (13 + 14)/2 = 13.5

∵ The mean is the average, where you add all the numbers and then

  divide the sum by the number of numbers

∵ The sum = 10 + 12 + 13 + 14 + 15 + 16 + 42 = 122

∵ They are 7 numbers

∴ The mean = 122/7 = 17.43

- If we remove the outlier then:

∴ The sum = 122 - 42 = 80

∴ The mean = 80/7 = 11.43

∵ The range is the difference between the greatest and the

  smallest values of the data set

∵ The greatest value is 42 and the smallest value is 10

∴ The range = 42 - 10 = 32

- If we remove the outlier then:

∴ The range = 16 - 10 = 6

* The range is the most affected by the outlier

If 39 is 3/5 of all the people then you can divide it by 3 (=13) and multiply is by 5 (= 65)

Answer: There are 65 people in the club.

Answer: There are 65 people in the club.