Highest Common Factor of 150 and 375

With her 5 3/5 gallons of paint, Latanya can paint up to 11 full bookcases.

Any value of the variable that makes the Left Hand Side (LHS) and the Right Hand Side (RHS) of the equation equal is a solution to the problem. Solving an equation is locating its solution or solutions.

Let's first translate 5 3/5 gallons of paint into an incorrect fraction:

5 3/5 = (5 x 5 + 3)/5 = 28/5

Next, we can find the number of bookcases she can paint by dividing the total amount of paint by the amount needed for each bookcase:

28/5 ÷ 1/2

= 28/5 x 2/1

= 56/5

=11 1/5.

To know more about fraction visit:-

https://brainly.com/question/1301963

#SPJ1

Answer:

about 5

Step-by-step explanation:

this is because if you divide 5 by 9 you would be 3  and then add that by 2 because 75 has 2 letters and you get 5

Answer:

-28

Step-by-step explanation:

-33 + -12 = -45

-45 + 17

= -28

Step-by-step explanation:

molar mass of NaOH = 23 g/mol (for Na) + 16 g/mol (for O) + 1 g/mol (for H) = 40 g/mol

moles of NaOH = 30 g / 40 g/mol = 0.75 mol

500 mL = 0.5 L

molarity = moles of solute / liters of solution

molarity = 0.75 mol / 0.5 L = 1.5 M

Therefore, the molarity of the solution is 1.5 M to the nearest tenth.

The solution is: ΔTSU ≅ ΔUVW

by vertical angles and alternate interior angles.

Here, we have,

Similarity of two triangle

Similarity: two triangle are similar (they have the same shape but generally different size) if and only if the have the same angles.

In this case, we have that:

ΔTSU ≅ ΔUVW

because they have the same angles

We know this because:

Vertical angles: when two lines are crossed, the opposite angles formed are equal. These angles are called vertical angles.

Since TS and VW are parallel

Alternate interior angles: when two parallel lines are crossed by a transversal, there are couples of angles formed that are equal. Those are called alternate interior angles.

Answer

ΔTSU ≅ ΔUVW

by vertical angles and alternate interior angles

learn more on similarity:

https://brainly.com/question/28956090

#SPJ1

complete question:

Determine whether the two triangles are similar. If they are, complete the similarity statement.

(a-1) The value of the population mean is unknown.

(a-2) The best estimate of the population mean is the sample mean, which is 20 eggs.

(c) The value of t for a 95% confidence interval with 17 degrees of freedom is approximately 2.110.

(d) the 95% confidence interval for the population mean is approximately (17.902, 22.098).

(e-1) It would not be reasonable to conclude that the population mean is 17 eggs.

(e-2) It would be reasonable to conclude that the population mean is 18 eggs.

(a-1) The given information provides the sample mean (20 eggs) and the sample standard deviation (5 eggs), but it does not directly provide the population mean.

(a-2) In the absence of other information, the sample mean is a reasonable estimate of the population mean.

(c) For a 95% confidence interval, the value of t can be determined using the t-distribution with n-1 degrees of freedom, where n is the sample size. In this case, the sample size is 18, so the degrees of freedom is 18 - 1 = 17.

Using a t-distribution table or a statistical software, the value of t for a 95% confidence interval with 17 degrees of freedom is approximately 2.110.

(d) To determine the 95% confidence interval for the population mean, we can use the formula: Confidence interval = sample mean ± (t * standard error), where the standard error is the sample standard deviation divided by the square root of the sample size.

In this case, the sample mean is 20, the standard deviation is 5, the sample size is 18, and the value of t is 2.110. Plugging in these values, the confidence interval is 20 ± (2.110 * (5 / √18)), which evaluates to approximately 20 ± 2.098.

(e-1) The 95% confidence interval calculated in part (d) does not include 17 eggs, indicating that it is unlikely for the population mean to be 17 eggs.

(e-2) The 95% confidence interval calculated in part (d) includes 18 eggs, suggesting that it is plausible for the population mean to be 18 eggs.

For more such questions on population mean

https://brainly.com/question/31101410

#SPJ8

These real-world applications help young learners see the practical applications of geometry and develop a deeper understanding of geometric concepts while making learning more engaging and meaningful.

Relevance: Connecting math to real-world applications helps students see the practical value and relevance of the concepts they are learning. It provides a meaningful context and motivation for learning.

Engagement: Real-world applications make math more interesting and engaging for students. It brings concepts to life and helps students see how math is used in everyday life.

Deep understanding: By applying math concepts to real-world situations, students develop a deeper understanding of the concepts and their connections. It promotes critical thinking, problem-solving skills, and the ability to apply mathematical knowledge in different contexts.

Transferability: Real-world applications help students see how math concepts can be transferred and applied to various situations. It promotes the ability to apply learned concepts to new and unfamiliar problems.

Some real-world applications of geometry that would be appropriate for young learners include:

Measurement: Young learners can apply geometric concepts to measure and compare the lengths, areas, and volumes of objects in their environment. For example, measuring the length of a room, comparing the sizes of different shapes, or estimating the volume of a container.

Navigation and Maps: Young learners can use geometry to understand maps, directions, and spatial relationships. They can learn about reading maps, understanding coordinates, and finding distances between locations.

Architecture and Construction: Exploring geometric shapes, angles, and symmetry can help young learners understand the principles of architecture and construction. They can design and build simple structures using different shapes and understand the importance of stability and balance.

Art and Design: Geometry plays a significant role in art and design. Young learners can explore symmetry, patterns, and shapes in various art forms. They can create tessellations, explore rotational symmetry, or design patterns using geometric shapes.

Everyday Objects: Geometry is present in everyday objects around us. Young learners can identify and classify shapes in their environment, such as identifying spheres, cubes, cylinders, and cones in objects like balls, boxes, cups, and ice cream cones.

To know more about Geometry

https://brainly.com/question/31408211

#SPJ11

Answer:

D) -6/11

Step-by-step explanation:

Answer:

D) -6/11

Step-by-step explanation:

Answer:

x = 105

Step-by-step explanation:

the sum of all interior angles of any four-sided figure has 360 degrees

∡F and ∡H are equal

add all four expressions and set them equal to 360

x + (x + 5) +( x + 5) + (140 - x) = 360

combine like terms

2x + 150 = 360

2x = 210

x = 105

The value of x = 105

The sum of all interior angles of any four-sided figure has 360 degrees

∡F and ∡H are equal

Add all four expressions and set them equal to 360

x + (x + 5) +( x + 5) + (140 - x) = 360

combine like terms

2x + 150 = 360

2x = 210

x = 105

Interior angles are those that lie in the interior of a polygon. For instance, a triangle has three interior angles. The other way to outline indoor angles is "angles enclosed in the interior place of two parallel traces while intersected by means of a transversal are known as interior angles".

The exterior is described by means of Merriam-Webster as "being on an outside surface: located at the outside" and "appropriate for use on door surfaces."  Defines outdoors as "outer; being on the outer side," and "intended or suitable for outside use."

The system for calculating the scale of an interior perspective is the interior perspective of a polygon = sum of interior angles ÷ wide variety of aspects. The sum of outside angles of a polygon is 360°. The formulation for calculating the size of an outdoors perspective is the outside attitude of a polygon = 360 ÷ wide variety of aspects.

Learn more about interior angles here: https://brainly.com/question/24966296

#SPJ2

Answer:

6 because why not

Step-by-step explanation:

Answer:

Step-by-step explanation:

A would befit the missing cell

Answer:

2

Step-by-step explanation:

Answer:

(12, 190). This represents that after selling 12 ice creams, I gain $190.

Step-by-step explanation:

I just found a scatter plot online. Ignore the current label on the x-axis that says TemperatureC, I just changed that to ice creams. You can change the title of the graph to whatever you want.

Answer:

I would think it's A, it makes the most sense to me

The amount of money Gabriela paid for the pair of glasses after the discount is $50.4

Regular price of the pair of glasses= $72

Percentage discount= 30%

Amount Gabriela actually paid= Regular price of the pair of glasses - (Percentage discount of Regular price of the pair of glasses)

= 72 - (30% × 72)

= 72 - (0.3 × 72)

= 72 - 21.6

= $50.4

Therefore, Gabriela paid $50.4 for the pair of glasses after deducting discount.

Read more on discount:

https://brainly.com/question/1548141

#SPJ1

Answer:

75.

Step-by-step explanation:

That would be 2.5 x 30.

2.5 x 30 = 75, so that's your answer. 75.

\(\sqrt[3]{27x} +\sqrt[3]{x} =3\sqrt[3]{x}+\sqrt[3]{x} =4\sqrt[3]{x}\)

Good day and hoped that helped!

The expression ∛(27x) + ∛x is equivalent to the expression 4∛x option (A) 4∛x is correct.

It is defined as the combination of constants and variables with mathematical operators.

It is given that:

= ∛(27x) + ∛x

As we know, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.

We can write ∛(27x) as:

∛(27x) = ∛(3³x)

∛(3³x) = (∛3³)×(∛x)

∛(3³x) = 3∛x

∛(27x) = 3∛x

= 3∛x + ∛x

= 4∛x

The expression  ∛(27x) = ∛(3³x) is equivalent to the expression 4∛x

Thus, the expression ∛(27x) + ∛x is equivalent to the expression 4∛x option (A) 4∛x is correct.

Learn more about the expression here:

brainly.com/question/14083225

#SPJ5

Answer:

The answer is 15

Step-by-step explanation:

125/5=25

25-10=15

An= 5[15+10]=125

==========================================================

Explanation:

We are told that quadrilateral ABCD is similar to quadrilateral EFGH.

The order of the four letter sequence is important.

Therefore, AB and EF are corresponding sides.

So AB = 10 and EF = x pair up together. We can form the ratio AB/EF which becomes 10/x.

The diagram shows that AD = 8. Notice that A and D are the first and last letters of ABCD. The first and last letters of EFGH are E and H. We can see that AD and EH correspond to one another because of this.

AD = 8 and EH = 6 forming the ratio AD/EH = 8/6

Because the quadrilaterals are similar, the corresponding ratios must be the same. Therefore, AB/EF is the same as AD/EH.

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

Let's set up a proportion to solve for x

AB/EF = AD/EH

10/x = 8/6

10*6 = x*8

60 = 8x

8x = 60

x = 60/8

x = 7.5  Answer is choice D

The approximate length of each side of the park is 85m .

Pythagoras Theorem states that the sum square of two sides of triangle is equal to the  square of longest side.

According to the question

given that the park is a square

and in square the longest side is it's diagonal and the diagonal is  given to be 120m.

In square all sides of square is same .

let the side be x.

By Applying Pythagoras Theorem in the given ΔABC

\(AB^{2} +BC^{2} =AC^{2}\)

Substituting the values  we get

\(x^{2} +x^{2} =120^{2}\)

\(2x^{2} =120^{2} \\ \\ 2x^{2} =14400\\ \\ x^{2} =7200\)

\(x=\sqrt{7200} =60\sqrt{2}\) = 84.85 ≅ 85

Therefore ,  the approximate length of each side of the park is 85m .

Learn more about Probability here https://brainly.com/question/19363111

#SPJ4

The ratios of  the areas in the following sets or similar triangles are:

1. 9:1,         2. 4:1,         3. 25:9,

4. 46:9,     5. 9:4,        6. 4:1,

7. 25:4,      8.9:4,         9. 9:1.

Having three edges and three vertices, a triangle is a three-sided polygon. The fact that a triangle's internal angles add up to 180 degrees is its most crucial characteristic. This characteristic is known as the triangle's angle sum property.

Given a set of triangles is similar,

for similar triangles the ratio of their corresponding sides is equal,

so A/a = B/b = C/c

where A, B, and C are sides of larger triangles and a, b, and c are sides of small triangles.

area of small triangle = 1/2*b*h

here b =base and h = height

area of large  triangle = 1/2*B*H

here B =base and H = height

the ratio of areas = area of the large  triangle/area of the small triangle

the ratio of areas = [1/2*B*H]/[1/2*b*h]

the ratio of areas = BH/bh

since the triangles are similar, B/b = H/h

the ratio of areas = B²/b²

or the ratio of areas = (SIDE)²/(side)²

1. given side of large triangle = 3

side of small triangle = 1

ratio of areas = 3²/1²

ratio of areas = 9/1 = 9:1

2.  given side of large triangle = 4

side of small triangle = 2

ratio of areas = 4²/2²

ratio of areas = 16/4 = 4:1

3. given side of large triangle = 5

side of small triangle = 3

ratio of areas = 5²/3²

ratio of areas = 25/9 = 25:9

similarly for other questions,

4.ratio of areas = 16/9 = 16:9

5. ratio of areas = 9/4 = 9:4

6. ratio of areas = 64/16 = 4:1

7. ratio of areas = 25/4 = 25:4

8. ratio of areas = 36/16 = 9:4

9. ratio of areas = 4/1 = 4:1

Hence the ratios are as possible.

Learn more about triangles;

https://brainly.com/question/2773823

#SPJ1

Answer:

15%

Step-by-step explanation:

There are 13 teams in the softball league, so there are 13 options for the first-place team. Once the first-place team is determined, there are 12 remaining teams for the second-place spot. Finally, there are 11 remaining teams for the third-place spot. Therefore, the number of different end-of-the-season rankings of first, second, and third place is possible is:

13 x 12 x 11 = 1,716

So there are 1,716 possible rankings.

The critical numbers are A = 1 and B = 6.

To find the critical numbers A and B for the function f(x) = -2x^3 + 21x^2 - 36x + 10:

Follow these steps:

STEP 1. Determine the derivative of the function f'(x).

This represents the slope of the tangent line at any point on the function.
  f'(x) = -6x^2 + 42x - 36

STEP 2. Set the derivative equal to zero to find the critical points, where the slope is zero or undefined.
  -6x^2 + 42x - 36 = 0

STEP 3. Factor the quadratic equation:
  -6(x^2 - 7x + 6) = 0
  -6(x - 1)(x - 6) = 0

STEP 4. Solve for x to find the critical numbers A and B:
  x - 1 = 0 → x = 1 (A)
  x - 6 = 0 → x = 6 (B)

So the three important open intervals for the function are: (-∞, 1), (1, 6), and (6, ∞), where A = 1 and B = 6.

To know more about Critical numbers:

https://brainly.com/question/29743892

#SPJ11

Given :

Total money Beto have , P = $12 .

Cost per gallon , c = $3.75 .

To Find :

Ordered pair of lading number of gas to the total cost of gas includes the greatest amount of gas she can buy .

Solution :

Now , number of gallons she can buy for $12 is :

\(Units =\dfrac{12}{3.75}\ gallon\\\\Units = 3.2\ gallons\)

So , the greatest amount of gas she can buy with $10 is 3.2 gallons .

Therefore , the ordered pair is ( 3.2 , 12 ) .

Hence , this is the required solution .

We can reduce the width of the confidence interval by increasing the sample size, reducing the confidence level and decreasing the mean (A, D, and F)

A confidence interval is an estimate of the interval that has a specified probability of including an unknown population parameter.

The purpose of a confidence interval is to estimate the true value of the population parameter being measured, such as a mean, a standard deviation, or a proportion.

In general, a wider confidence interval indicates more uncertainty about the estimate, while a narrower confidence interval suggests more precision in the estimate.

We want narrower confidence intervals to demonstrate more precision, as this allows us to draw more reliable conclusions about population parameters.

We cannot reduce the width of the confidence interval by increasing the sample size, increasing the confidence level or increasing the mean.

Thus, the correct options are a, d, and f.

Learn more about confidence interval here:

https://brainly.com/question/15712887

#SPJ11

The Expected value of a draw from the given question is; A; 0.77

We are told the face cards are K, Q, J. This means that there are 3 face cards for each of the 4 suits.

Since you earn 10 points for each face card, it means that;

total possible gain = 10 × 3 × 4 = 120

In a deck of cards, there are a total of 52 cards.

This means that;

Number of cards that are not K, Q or J = 52 - (4 × 3) = 40

Since 2 points are lost for drawing any of this 40 cards, then;

Total possible loss = 40 × 2 = 80

Expected gain = 120 - 80

Expected gain = 40

Expected value of a draw = 40/52

Expected value of a draw = 0.77

Read more about expected value at; https://brainly.com/question/1450915