What is the median value of the data set shown on the line plot?

Enter your answer in the box.

Answer:

a) 3x5³

b) 75

Step-by-step explanation:

a) find the Prime factors of 375 by dividing your number by prime numbers (you answers must be whole) use a factor tree to help you

a) do the same to 150

one you have you answers in this case we have

375- 3x5x5x5

150 - 2x3x5x5

you collect all the like terms, this will be 3x5x5 then you just simply multiply it And it gives you 75

375 as a product of prime factors is 3x5^3 and the highest common factor of 375 and 150 is 25.

To express 375 as the product of prime factors, you must first determine the prime numbers that when multiplied together will equal 375. The prime factors of 375 are 3 and 5. So, 375 can be written as 3x5^3.

Next, to find the highest common factor of 375 and 150, you need to first find the prime factors of both numbers. As shown above, the prime factors of 375 are 3 and 5. The prime factors of 150 are 2, 3 and 5.

The highest common factor is identified by locating the largest number that can divide both numbers without leaving a remainder. The highest common factor of 375 and 150 is hence, 25 because it's the greatest factor that both numbers have in common.

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The sum of the angle ∠T and angle ∠U will be a 180°. Then the angle ∠U will be 68°.

It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a trapezium, one pair of opposite sides are parallel.

Trapezoid RSTU is a cross-section of a lampshade.

The diagonals of RSTU are congruent, and the measure of angle S is 112 degrees.

Then the measure of angle U will be

Angle S and angle T are equal.

∠S = ∠T = 112°

And the sum of the angle ∠T and angle ∠U will be a 180°.

Then we have

∠T + ∠U = 180°

112° + ∠U = 180°

         ∠U = 68°

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The measure of angle U in the trapezoid RSTU with congruent diagonals and angle S measuring 112 degrees is 68 degrees, using the properties of an isosceles trapezoid.

To find the measure of in the trapezoid RSTU, with diagonals congruent and the measure of angle S being 112 degrees, we need to use the properties of a trapezoid and the fact that the diagonals are congruent. In an isosceles trapezoid, the base angles are congruent, meaning angles S and U are congruent because diagonals are congruent. Since the sum of angles in a quadrilateral is 360 degrees, we can set up an equation: 2(112) + 2(angle U) = 360.

Solving for angle U, we get:

Hence, the measure of angle U in the trapezoid RSTU is 68 degrees.

Answer:

x = 14

Step-by-step explanation:

-2(x-5)-4=-22

Distribute

-2x +10 -4 = -22

Combine like terms

-2x+6 =-22

Subtract 6 from each side

-2x+6-6 = -22-6

-2x = -28

Divide each side by -2

-2x/-2 = -28/-2

x = 14

Answer:

Answer is x= -4 and y= 3

Step-by-step explanation:

[tex]given \: equations \: are \\ 3x + 4y = 0 \: \: and \: 2x + 3y = 1 \\ multiply \: by \: 2 \: in \: first \: equation \\ 6x + 8y = 0 \\ multiply \: by \: 3 \: in \: second \: equation \\ 6x + 9y = 3 \\ subtracting \: the \: above \: mentioned \: equation \: \\ we \: get \: - y = - 3 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: y = 3 \\ substitute \: y = 3 \: in \: first \: equation \\ 3x + 4(3) = 0 \\ 3x = - 12 \\ x = - 4[/tex]

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Answer:

i believe is c

Step-by-step explanation:

because you addd 10 plus 8 times 6.

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The area of the floor that will be covered by the Matt is 24 sq. ft.

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry.

The area of the floor covering will be equal to the area of the triangular carpet. Therefore, using the Heron's formula we can write,

s = (10+8+6)/2 = 12

Area of the triangle = √[12(12-10)(12-8)(12-6)] = √(12×2×4×6) = 24 sq ft.

Hence, the area of the floor that will be covered by the Matt is 24 sq. ft.

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Answer:

B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

-28 1/3

Step-by-step explanation:

Answer:

D) 19.5 in^2

Step-by-step explanation:

Volume is 1/3base * height

52in^3 = 1/3x*8

multiply by 3

156in^3 = x*8

divide by 8

19.5 = x

x = 19.5

Answer:

D

Step-by-step explanation:

Answer:

See below.

Step-by-step explanation:

Where the graphs of the functions intersect it represents the number of weeks when they have both saved the same amount of money. So by solving the system we can find the number of weeks and that amount of money.

y = x^2 + 2x

y = -3x + 6 so

x^2 + 2x = -3x + 6

x^2 + 5x - 6 = 0

(x + 6)(x - 1) = 0

So x = 1  ( we ignore the negative)

So after 1 week  they have saved the same amount  and the amount is -3 + 6 = 3.

Are you sure that -3x + 6 is right - because Sarah does not save anything after year 1 . The equation has a negative slope!!

Answer:

it's a glass ball r = 3 inches

Step-by-step explanation:

edgenutiy

Answer:

glass ball 3 inches ( ;  (  :

Step-by-step explanation:

Which sphere has a volume of approximately 113.1 cubic inches?

Glass ball: r = 3 inches

A glass ball.

Soccer ball: r = 4 inches

A soccer ball.

     Lamp: d = 10 inches

A round lamp.

Here,

volume(v)=1000 ft^3

also,

v=l^3

or,1000=l^3

therefore,

l=10ft

Now,

Surface area(A)=6l^2

=6×10^2

=600 ft^2

Hope it helps!!!!!

If the volume of a cube is 1,000 cubic feet then the Surface area(A) of a cube of side 10 feet would be 600 ft^2.

A cube is a three-dimensional representation of a square. it has 6 faces 2 on the bottom and top, 4 on the sides faces.

The volume of a cube can be calculated as the cube of the sides of a given figure.

The volume of a cube = side ^3

Given ; if the volume of a cube is 1,000 cubic feet

The volume(v) = 1000 ft^3

also, The volume(v) = l^3

or,1000 = l^3

therefore, l = 10ft

The side of the given cube is 10 feet.

Now,

The Surface area(A) of a cube = 6l^2

= 6 × 10^2

= 600 ft^2

Hence, if the volume of a cube is 1,000 cubic feet then the Surface area(A) of a cube of side 10 feet would be 600 ft^2.

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Answer:

No

Step-by-step explanation:

this is because only 50% of the college students said they could drive there fore it doesn't make sense.

Answer:No, Micah is not correct. Since there are equal numbers in the group that drive and the group that doesn’t drive, the relative frequency for each is 50%. Because the relative frequencies are the same, there is no association between the variables.

Step-by-step explanation: its on e2020

Answer: 193 faulty paint sprayers

Step-by-step explanation: 5/10 is = to 1/2 so half of them are faulty

next divide 365 by 2 to get 192.5 remember if the decimal is 5 or greater you can round up since you cannot have half a paint sprayer you have to round up to 193 paint sprayers

hope this helps mark me brainliest if it helped

Answer:

First time : 1/6

Second time : 1/6

Step-by-step explanation:

Answer:

1/6

Step-by-step explanation:

Since it is a six-sided die, you will roll every number at least one time, making the answer 1/6

Answer: 3/10 of a mile

Step-by-step explanation:

Hi, to answer this question we simply have to multiply the 2/5 of the way that she travelled on her bike before it broke by the total distance (3/4 of a mile)

2/5 x 3/4 = 3/10 of a mile  

She travelled 3/10 of a mile on her bike before it broke

Feel free to ask for more if needed or if you did not understand something.

Rose traveled [tex]\( \frac{3}{10} \)[/tex] of a mile on her bike before it broke, found by multiplying 2/5 by 3/4. Equation: Distance on bike = (2/5) × (3/4).

To find out what fraction of a mile Rose traveled on her bike before it broke, we need to find 2/5 of 3/4 mile.

[tex]\[ \text{Distance traveled on bike} = \left(\frac{2}{5}\right) \times \left(\frac{3}{4}\right) \][/tex]

[tex]\[ = \frac{2}{5} \times \frac{3}{4} \][/tex]

[tex]\[ = \frac{2 \times 3}{5 \times 4} \][/tex]

[tex]\[ = \frac{6}{20} \][/tex]

[tex]\[ = \frac{3}{10} \][/tex]

So, Rose traveled [tex]\( \frac{3}{10} \)[/tex] of a mile on her bike before it broke.

The equation for this would be:

[tex]\[ \text{Distance on bike} = \left(\frac{2}{5}\right) \times \left(\frac{3}{4}\right) \][/tex]

Complete Question:
Rose lives 3/4 of a mile from her cousin. One day she rode her bike to her cousin's house. When she got 2/5 of the way there, her bike chain broke and she had to walk the rest of the way. What part of a mile did Rose go on her bike before it broke? Show your work and write an EQUATION in the box to the right.

Answer:

[tex]y = \frac{3\cdot (x+1)}{x+1}[/tex]

Step-by-step explanation:

A rational function with no vertical asymptotes contains an avoidable discontinuity, an example is presented hereafter:

[tex]y = 3[/tex]

[tex]y = 3\cdot 1[/tex]

[tex]y = 3\cdot \frac{x+1}{x+1}[/tex]

[tex]y = \frac{3\cdot (x+1)}{x+1}[/tex]

Do I choose A or B?

If so: B

Answer:

8 people

Step-by-step explanation:

step1:move 8.50 to the other side

228.50=8.50+27.50x

220=27.50x

step 2:find x by dividing

220=27.50x

x=8

hope this helps,mark me brainliest.

There are 8 people who attended the park.

To solve the problem, let's define the variables and write an equation. Let x be the number of people who attended. The total cost is the sum of the parking fee plus the admission fees.

The parking fee is $8.50, and the admission fee per person is $27.50. Therefore, the total cost can be expressed as:

Total Cost = Parking Fee + (Admission Fee per Person * Number of People)

This simplifies to:

$228.50 = $8.50 + $27.50 * x

First, subtract the parking fee from the total cost:

$228.50 - $8.50 = $27.50 * x

$220 = $27.50 * x

Now, divide both sides by the admission fee per person to find x:

x = $220 / $27.50

x = 8

Thus, 8 people attended the park.

Answer:

5.5 cu ft        vol = L*w*h*  w=x L= 3x  h=3

270=  3[3x*x]

Final answer:

To find the length and width of the touch tank, we need to use the formula for the volume of a rectangular tank. By substituting the given values and solving the equation, we can find the width and length.

Explanation:

Let's assume that the width of the touch tank is x feet. So, the length of the tank would be 3x feet.

The volume of a rectangular tank is given by the formula volume = length × width × height. We can substitute the given values into this formula.

270 = (3x) * x * 3

Simplifying the equation, we get:

270 = 9x^2

Dividing both sides of the equation by 9:

x^2 = 30

Taking the square root of both sides of the equation:

x = √30 ≈ 5.48

Therefore, the width of the touch tank is approximately 5.48 feet. Since the length is three times the width, the length would be approximately 3 × 5.48 = 16.44 feet.

Final answer:

The percent increase of the waterpark's entry fee is approximately 30.36%, which is calculated by finding the difference between the new and original cost, dividing by the original cost, and then converting that number to a percentage.

Explanation:

To calculate the percent increase of the entry fee to the waterpark, we need to follow these steps:

Step 1: The increase in cost is $73 - $56 = $17 per person.

Step 2: The increase divided by the original cost is $17 ÷ $56 ≈ 0.30357.

Step 3: To find the percent increase, we multiply the result from step 2 by 100: 0.30357 × 100 ≈ 30.36%.

Therefore, the percent increase of the entry fee is approximately 30.36%.

To find the percent increase in the entry fee, subtract the old fee from the new fee, divide by the old fee, and multiply by 100. The entry fee increase is approximately 30.36%.

To find the percent increase in the entry fee, you need to calculate the difference between the new fee and the old fee, and then divide that difference by the old fee. Finally, multiply the result by 100 to get the percentage.

The entry fee increase is approximately 30.36%.

Answer:

3.73333

Step-by-step explanation:

Answer:

Step-by-step explanation:

Distance = 4/5 of 4 2/3

[tex]=\frac{4}{5}*\frac{14}{3}\\\\=\frac{4*14}{5*3}[/tex]

= 56/15

= 3 11/15 miles

The first term of the geometric  sequence is 0.0061

Step-by-step explanation:

The general form of geometric  sequence is a, ar, ar²,ar³,.......

where,

The formula to find the nth term of the geometric sequence is given by :

⇒ [tex]n_{th} term = ar^{n-1}[/tex]

⇒ [tex]8_{th}term = a\times4^{8-1}[/tex]

⇒ [tex]100 = a \times 4^{7}[/tex]

⇒ [tex]100 = a \times 16384[/tex]

⇒ [tex]a = \frac{100}{16384}[/tex]

⇒ a = 0.0061

Therefore, the first term of the geometric  sequence is 0.0061

Answer:

The first term of the geometric  sequence is 0.0061

Answer:

[tex]A = 1172.965\,cm^{2}[/tex]

Step-by-step explanation:

Let be a side of 12 cm (l) and an apothem of 19 cm (p). First, the number of sides has to be determined:

[tex]n =\frac{360^{\textdegree}}{2\cdot \tan^{-1}\left(\frac{6\,cm}{19\,cm} \right)}[/tex]

[tex]n = 10.271[/tex]

The polygon has ten sides and the side length shall be re-adjusted:

[tex]\theta = \frac{360^{\textdegree}}{10}[/tex]

[tex]\theta = 36^{\textdegree}[/tex]

The side length is:

[tex]l = 2\cdot (19\,cm)\cdot \tan 18^{\textdegree}[/tex]

[tex]l = 12.347\,cm[/tex]

The area of the polygon is:

[tex]A = \frac{n\cdot l \cdot p}{2}[/tex]

[tex]A = \frac{(10)\cdot (12.347\,cm)\cdot (19\,cm)}{2}[/tex]

[tex]A = 1172.965\,cm^{2}[/tex]

Answer:

"Lack of planning on your part doesn't require an emergency on my part."

Step-by-step explanation:

Doesnt it say it in the photo?

Answer:

the answer is c

Step-by-step explanation:

Answer:

The answer is -3x because the red tiles represent -x so since there are 3 -x tiles the answer would be -3x

Answer:

f(2) = 25

Step-by-step explanation:

Given

f(x) = [tex](5)^{x}[/tex]

To evaluate f(2) substitute x = 2 into f(x)

f(2) = [tex](5)^{2}[/tex] = 25

Answer:

5026*10^-5

Step-by-step explanation:

Answer:

5.026 x 10-5

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

The order of the factors does not alter the product

Yes because of your property’s

Answer:

23

Step-by-step explanation:

its 23 beacuase 1104 divided by 48 is 23 so its 23 chips

Answer: 23

Step-by-step explanation: 1,104 divided by 48 = 23

Answer:

B,C,D

Step-by-step explanation:

The correct option is (10,24,26) , (12, 16, 20) and (12, 35, 37).

In a right triangle, the hypotenuse is the longest side, an "opposite" side is the one across from a given angle, and an "adjacent" side is next to a given angle. We use special words to describe the sides of right triangles.

A right triangle is a triangle with one right angle (one angle equal to 90°). The side opposite the right angle (the longest side) is called the hypotenuse. The remaining two sides (the sides that intersect to determine the right angle) are called the legs of the right triangle.

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