Which decimal is equivalent to the fraction 115?

Answer:

2 1/2

Step-by-step explanation:

If you do the step by step calculation:

Step 1: Simplify both sides of the equation.

2(12+2x+15+2x)=74

(2)(12)+(2)(2x)+(2)(15)+(2)(2x)=74(Distribute)

24+4x+30+4x=74

(4x+4x)+(24+30)=74(Combine Like Terms)

8x+54=74

8x+54=74

Step 2: Subtract 54 from both sides.

8x+54−54=74−54

8x=20

Step 3: Divide both sides by 8.

8x divide by 8 and that is 20 divided by 8

leaves you with the answer 5/2.

If you then turn the improper fraction into a mixed fraction you get 2 and one half.

Answer= 2 1/2 or "a" DEPENDS ON WHAT QUIZ YOU HAVE

Peace!

Answer:

[tex]x=-9[/tex]

Step-by-step explanation:

[tex]5x+8-3x=-10[/tex]

Simplify to get [tex]2x+8=-10[/tex]

Find what [tex]2x[/tex] equals to by taking away 8, [tex]2x = -18[/tex].

Divide by 2 to find x, [tex]x = -9[/tex]

Answer:

X = -9

Step-by-step explanation:

Answer:

There are 2 modes. They are 14 and 77.

Answer: B

Step-by-step explanation: Usa Pept

Final answer:

Michael's 8-mile training run should be on a path that is enjoyable and reflective of the marathon environment, helping to build endurance and maintain motivation.

Explanation:

Michael is training for a marathon and plans to run 8 miles in his first week. The appropriate path for him would depend on several factors including scenery, difficulty level, and whether the path is traffic-free. A key aspect of marathon training as illustrated through the personal story shared is a gradual increase in mileage and a lifestyle change towards constant movement. Michael's marathon training should ensure that his 8 miles are manageable and reflect the incremental changes in habits he's aiming for.

When selecting a path, Michael might consider one that is reflective of the marathon environment, which could include terrain similar to the race he plans to participate in, or he might choose a path known for its relaxing scenery to make the run enjoyable and maintain motivation. Regardless of the exact path taken, the focus should be on building endurance through consistent and enjoyable running experiences.

Final answer:

Two test scores that fulfill the inequality s ≥ 92 are 92 and 95, meaning that Jared can get an A on his report card with either of those scores.

Explanation:

The inequality s ≥ 92 represents the score (s) that Jared must earn on his test to get an A on his report card. Since the inequality includes the 'greater than or equal to' symbol (≥), two possible test scores that Jared could earn to get an A would be 92 and any other number greater than 92, for instance, 95.

Answer:

1-B

2-A

3-D

4-B

5-C

6-C

7-A

8- The collision resulted in significant debris in low Earth orbit.

9-

10-

Step-by-step explanation:

The expanded form of 509.307 will be   [tex]5\times100+ 9\times1 + 3\times0.1 + 0\times0.01 + 7\times0.001[/tex]

It is  a way to write a number by adding the value of its digits

The expanded form of 509.307 will be

= [tex]500 \times (10^2) + 0\times10^1 + 9 \times10^0 + 3\times10^{-1} + 0\times10 ^{-2} + 7 \times10 ^{-3}[/tex]

= [tex]5\times100+ 9\times1 + 3\times0.1 + 0\times0.01 + 7\times0.001[/tex]

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Answer:

Interest = $20

Amount due = $120

Step-by-step explanation:

This is a Simple Interest problem. Simple interest is given as:

I = (P * R * T) / 100

Where I = interest

P = principal or amount loaned

R = rate of interest

T = time elapsed

Ted borrowed $100 from 2 years at a 10% interest rate.

This means that P = $100, R = 10%, T = 2 years.

Hence, the interest will be:

I = (100 * 10 * 2) / 100

I = 2000 / 100

I = $20

The interest after two years will be $20.

Therefore, the total amount due at the end of the loan is:

A = P + I

A = 100 + 20 = $120

The amount due is $120.

Answer:

[tex] {2x}^{3} [/tex]

Step-by-step explanation:

[tex] {x}^{3} + {x}^{3} = {2x}^{3} [/tex]

Answer:

[tex]2x^{3}[/tex]

Answer:

x=50

Step-by-step explanation:

since all triangles angles add up to 180 and x and the other corner look equal, than minus 80 from 180 and then divide by two (because of the 2 corners.) x=50 degrees

Answer:

The correct answer is x=1

Step-by-step explanation:

Answer:

x = 1

Step-by-step explanation:

Answer:

the answer is below frum ed

Step-by-step explanation:

y= -6

Y= -4

Y= -3

Y= 0

Answer:

Cut the room into a rectangle and a trapezoid vertically. Then just use the rectangle and trapezoid area formulas to solve.

Step-by-step explanation:

It should work because this is how I find the area of most irregular shapes.

Answer:

To find the area you would first break the shape down into smaller regular shapes. In this case it would be a rectangle and trapezium. Then the next step to working out the area is to work out the area of one of the shapes. In this example i would start with the rectangle as it would be easier. The formula for the area of the rectangle would be length multiplied by the width. Then hold on to the answer. After you would work out the area of the trapezium. The formula for the area of a trapezium is: [tex]\frac{a+b}{2} *height[/tex]. To work this out you would add the lengths of the top line and the bottom line and divide them by 2. Then you would multiply that by the height of the trapezium. After you would add the area of the rectangle and the area of the trapezium and this will give you the total area.

1) Divide the shape into smaller regular shapes.

2) Find the area of the rectangle.

3) Find the area of the trapezium.

4) Add the two areas together.

Final answer:

The volume of a square pyramid changes by a factor of 4/27 when the base area is quadrupled and the height is reduced to 1/9 of its original size.

Explanation:

The volume of a square pyramid can be found using the formula:

Volume = (1/3) * Base Area * Height

If the base area is quadrupled, it means the new base area is 4 times the original.

If the height is reduced to 1/9 of its original size, it means the new height is 1/9 of the original.

Therefore, the change in volume can be calculated as:

Change in Volume = (1/3) * (4 * Original Base Area) * (1/9 * Original Height)

Simplifying the expression, we get:

Change in Volume = (4/27) * Original Volume

Answer:

r = 5.58

Step-by-step explanation:

The area of a circle is given by

A = pi r^2

97.9 = 3.14 r^2

Divide each side by 3.14

97.9/3.14 =3.14 /31.4 r^2

31.17834395 = r^2

Take the square root of each side

sqrt(31.17834395) = sqrt(r^2)

5.583757153 = r

Answer:

False

Step-by-step explanation:

The ratio of DVDs to CDs in Keenan's collection is 11:7, after simplifying the original ratio of 44:28 by dividing both terms by their greatest common divisor, which is 4.

Keenan has a collection of 28 CDs and 44 DVDs. To find the ratio of DVDs to CDs, we divide the number of DVDs by the number of CDs. This gives us:

Ratio of DVDs to CDs = Number of DVDs / Number of CDs

Ratio of DVDs to CDs = 44 / 28

Now, we can simplify this by dividing both numbers by the greatest common divisor (GCD), which is 4 in this case:

44 / 4 = 11

28 / 4 = 7

So, the simplified ratio is 11:7.

Therefore, the ratio of DVDs to CDs in Keenan's collection is 11:7.

Answer:

The answer is D.

Step-by-step explanation:

It have 5 different surface. I will name them as front, back, left, right and down. It's easier for you to see.

Front: 36*50= 1800

Back: 14*36=504

Left: 14*48/2=336

Right:14*48/2=336

Down:36*48=1728

Then, we add everything together and get the answer.

1800+504+336+336+1728=4702.

Answer:

y < -5

Step-by-step explanation:

19 > -6 - 5y

add 6 to both sides

25 > - 5y

divide by -5

-5 > y

Answer:

y>-5.

Step-by-step explanation:

Solved it don't really know how to explain it. :/

The situation that shows a constant rate of change the amount raised by a booster club compared w/ the number of raffle tickets sold.

A constant rate of change occurs when there is a consistent relationship between two variables, where a change in one variable consistently leads to a corresponding change in the other variable.

Here the booster club selling raffle tickets, a constant rate of change can be observed between the number of tickets sold and the amount of money raised by the club.

As the booster club sells more raffle tickets, the amount of money they raise increases.

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Answer: Subtract -5 from 15, or 15- -5= 15+5. The distance would be 20.

Step-by-step explanation:

Answer:

The distance between -5 and 15 is 20.

Step-by-step explanation:

First find the distance between -5 and 0, which is 5. Then find the distance between 0 and 15, which is 15. Add the distances together, and you get 20.

hope this helps :)

Answer:

I think it is cos J, because side LI = 17 and IM = 8, adjacent/hypotenuse= cosine, therefore cos J = 8/17 = sin L.

Please mark Brainiest, am trying to become Virtuoso

Cylinder A has a greater volume of approximately [tex]\( 33.9 \, \text{cubic meters} \)[/tex].

To compare the volumes of the two cylinders, we'll use the formula for the volume of a cylinder, which is:

[tex]\[ V = \pi \times r^2 \times h \][/tex]

Let's calculate the volumes step by step for Cylinder A and Cylinder B:

Cylinder A:

Given:

- Radius [tex](\( r \)) = 3m[/tex]

- Height [tex](\( h \)) = 1.2m[/tex]

Using the formula:

[tex]\[ V_A = \pi \times (3^2) \times 1.2 \][/tex]

[tex]\[ V_A = \pi \times 9 \times 1.2 \][/tex]

[tex]\[ V_A = 10.8\pi \, \text{cubic meters} \][/tex]

Cylinder B:

Given:

- Diameter [tex](\( d \)) = 4m[/tex] (so, \( [tex]r = \frac{d}{2} = \frac{4}{2} = 2 \) m[/tex])

- Height [tex](\( h \)) = 2.5m[/tex]

Using the formula:

[tex]\[ V_B = \pi \times (2^2) \times 2.5 \][/tex]

[tex]\[ V_B = \pi \times 4 \times 2.5 \][/tex]

[tex]\[ V_B = 10\pi \, \text{cubic meters} \][/tex]

Now, to determine which cylinder has the greater volume, we compare [tex]\( V_A \)[/tex] and [tex]\( V_B \)[/tex]:

[tex]\[ V_A = 10.8\pi \, \text{cubic meters} \][/tex]

[tex]\[ V_B = 10\pi \, \text{cubic meters} \][/tex]

Since [tex]\( 10.8\pi > 10\pi \)[/tex], Cylinder A has the greater volume.

Therefore, Cylinder A has a greater volume, approximately [tex]\( 10.8\pi \)[/tex]cubic meters.

Let's calculate the approximate numerical value for [tex]\( 10.8\pi \)[/tex]:

[tex]\[ 10.8\pi \approx 10.8 \times 3.14 \approx 33.912 \][/tex]

Complete correct question:

Which has a greater volume?

Cylinder A: r = 3m, h = 1.2m.

Cylinder B: d = 4m, h = 2.5m.

Round your answer to the nearest tenth.

Cylinder A has a greater volume.

To find the volume of a cylinder, we use the formula:

[tex]\[ V = \pi r^2 h \]For Cylinder A:- Radius \( r = 3 \) meters- Height \( h = 1.2 \) meters\[ V_A = \pi (3)^2 \times 1.2 \]\[ V_A = \pi \times 9 \times 1.2 \]\[ V_A = 10.8 \pi \][/tex]

For Cylinder B:

[tex]- Radius \( r = \frac{d}{2} = \frac{4}{2} = 2 \) meters- Height \( h = 2.5 \) meters\[ V_B = \pi (2)^2 \times 2.5 \]\[ V_B = \pi \times 4 \times 2.5 \]\[ V_B = 10 \pi \]Now, let's compare the volumes:\[ V_A = 10.8 \pi \]\[ V_B = 10 \pi \][/tex]

Since [tex]\( 10.8 \pi > 10 \pi \)[/tex], Cylinder A has a greater volume.

Rounded to the nearest tenth, the volume of Cylinder A is approximately 33.9 cubic meters, and the volume of Cylinder B is approximately 31.4  cubic meters.

Answer:

140 is the answer

Step-by-step explanation:

2/3 of 42 is 14 multiplied by ten is 140

Hope this helps ;)

Answer:

280

Step-by-step explanation:

Answer:

Understanding zero as a number represented by the symbol 0 enabled mathematicians to have a representation of nothing. Having a digit to represent zero enables mathematics to be more abstract, and allows more complex problems to be solved.

Answer:

C) A reflection over the x-axis

Step-by-step explanation:

It shows the reflection but over the x-axis.

Answer:

The mean of X, μₓ is 2

The standard deviation of X, σₓ is 1.3

Step-by-step explanation:

Here we have the expected value given by the following relation

Expected value = P(x) × n

Where:

P(x) = Probability that the event occurs

n = Number of times the event occurs

The probability of the dice showing 1  = 1/6

The number dice rolled = 12

Therefore, out of 12, the expected number of dice that show 1 in a turn = 12×1/6 = 2

The proportion, p of dice that show 1 = 1/6, hence the mean, μx = np

Standard deviation of a proportion,  [tex]\sigma _x =\sqrt{np{(1 - p)} }[/tex]

Where:

p = 1/6

n = 12

Hence;

μx = 12 × 1/6 = 2

[tex]\sigma _x =\sqrt{np{(1 - p)} } = \sqrt{12 \times \frac{1}{6} (1 - \frac{1}{6}) } = \sqrt{\frac{5}{3} } = 1.29099 \approx 1.3 \ to \ the \ nearest \ tenth[/tex]

Hence the mean and standard deviation of X are presented as follows;

The mean of X, μₓ = 2

The standard deviation of X, σₓ = 1.3.

Answer:

D

Step-by-step explanation:

The outlier of 2 decreases the mean page count.

The sum of all values divided by the total number of values determines the mean (also known as the arithmetic mean, which differs from the geometric mean) of a dataset. The term "average" is frequently used to describe this measure of central tendency.

If the outlier is included in the calculation of the median and mean, then it will affect the measures of central tendency.

However, if the outlier is excluded from the calculation, then it will not affect the measures of central tendency.

If the 2-page introduction chapter is an outlier on the higher side of the distribution, the outlier of 2 increases the mean page count more than the median page count.

If the 2-page introduction chapter is an outlier on the lower side of the distribution, the outlier of 2 decreases the mean page count more than the median page count.

therefore, The outlier of 2 decreases the mean page count.

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Complete question: