Andy is building a model train. A train in real life has a wheel diameter of 33 inches, a length of 20 feet, a width of 10 feet, and a height of 12 feet. If his model has a width of 8 inches, what does the height need to be?

Answer: 8

Step-by-step explanation:

     Given:

(5x^2-x-1)-(-3x^2-2x-5)

     Rewrite:

(5x² -x -1) - (-3x² -2x -5)

     Distribute the negative:

5x² -x -1 + 3x² +2x +5

     Reorder terms:

5x² + 3x² -x +2x -1 +5

     Combine like terms:

8x² + x + 4

   The coefficient of the x² term is 8,

8x² + x + 4

Answer:

x=-9/2

Step-by-step explanation:

Answer:

possibility is 1 in 6

Step-by-step explanation:

combinations of 2 coins are

5/10 , 5/20 , 5/50 → 3 possibles

10/20 , 10/50 → 2 possibles

20/50 → 1 possible

there are 6 possible combinations of the 2 coins

the only possible combination for 25 cents is 5/20

thus the possibilty of 2 coins summing to 25 cents is 1 in 6

Answer:

All students in each grade

Step-by-step explanation:

Answer:

17s

Step-by-step explanation:

Distance/Time = 264/11

So, in 1 second the toy robot travels 24 centimeters

408/24 = 17s

That's what I concluded with

Answer:

Step-by-step explanation:

Answer: For two rectangles to be similar, their sides must be in the same ratio. This problem can be solved using ratios and cross multiplication.

Step-by-step explanation:

Answer:

Step-by-step explanation:

If a line with a slope passes through a point with a value such as in this one, which is (1,3), then it must have a y-intercept and a slope. The y-intercept is when the x-value's value is 0 but the y-value is more than 0.

(3,6) is on the line as it corresponds with the slope.

(0,0) is not on this line as the y-value nor the x-value has a coordinate, which is a requirement to make it an ordered pair.

Answer:

7.67

Step-by-step explanation:

Answer: Math and history are very important!

Step-by-step explanation: We use math every day, some people more than others. Math helps your brain become more smarter. It gives us a way to understand different types of patterns better, to quantify relationships, and to in some cases, predict the future. There are many reasons that math is important to us, but what about history? History gives us a tool  to help us better understand our past, helping us to spot patterns that are invisible in the present. We can learn about past societies, past ideologies, and lots of other things to see how we got to where we are now. Studying math and history might be boring, pointless, or hard right now(I struggle with math!), but these two subjects are used in everyday life!

There are a number of reasons why studying history and mathematics is crucial. Although history aids in the knowledge of the past, the development of critical thinking abilities, and the development of cultural understanding, mathematics gives a framework for comprehending the world around us and develops essential skills.

A person who is proficient in maths can manage a budget, construct furniture, predict, and tell time, among other essential life abilities. As an adult, you need to be able to analyse expenditures, balance a chequebook, and deduct balances. Math can help you with these tasks. Math helps you become a better cook.

Several everyday uses of mathematics exist in contemporary life. It offers a common vocabulary for speaking about and comprehending the physical world. Engineering, computer science, physics, finance, and many other professions depend heavily on mathematics. Many of the technical advancements we take for granted today, like cell phones and space travel, would not exist without mathematics.

On the other hand, history is the study of historical occurrences and their importance. It is significant for a variety of reasons, such as:

Therefore, both mathematics and history are significant academic disciplines for a variety of reasons. Although history enables us to comprehend the past, learn from it, and foster cross-cultural understanding, mathematics gives us a framework for understanding the world around us and develops crucial abilities.

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Answer:

option C is the answer

Step-by-step explanation:

hope this helps you

Answer:

11 yards

Step-by-step explanation:

Given :

Maria got a prepaid debit card with $20 on it.

For her first purchase with the card,

she bought some bulk ribbon at a craft store.

The price of the ribbon was 8 cents per yard.

To Find:

If after that purchase there was $19.12 left on the card, how many yards of ribbon did Maria buy?

Solution:

$20- 19.12= 0.88

She spent 0.88 on the ribbon

One yard of ribbon is $0.08

0.88/0.08 = 11

Therefore she bought 11 yards of ribbon

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Kavinsky

Answer: (-5, -4)

Step-by-step explanation:

Reflection across y axis flips the sign of x coordinate only

Answer:

the other person is probably correct!

Step-by-step explanation:

The net income of Dorothy when she works 40 hours per week and her net pay is $2,718 monthly (4 week) is $17/ hour approximately.

When 'a' is divided by 'b', then the result we get from the division is the part of 'a' that each one of 'b' items will get.

Thus, if 10 mangoes are there, and 2 people, then 10 ÷ 2 is the number of mangoes each person would get, which is 5.

Division, thus, can be interpreted as equally dividing the number that is being divided in total x parts, where x is the number of parts the given number is divided.

Thus,  [tex]a \div b = a[/tex] divided in b equal parts.

Also, we can write: [tex]a \div b = a \times \dfrac{1}{b}[/tex]

(it is since a = a times 1 so [tex]a/b = 1 \times (a/b) = (1/b) \times a[/tex])

For this case, we're given that:

Since there are 4 weeks in a month, and each week, Dorothy works 40 hours per week, so the number of hours she worked in those 4 weeks (one month work approx) is:

[tex]40+40+40+40 = 4 \times 40 = 160 \: \rm hours[/tex]

That means, Dorothy gets $2718.26 for 160 hours of work.

Thus, if we divide this salary in 160 parts equally, we'll get net hourly income of Dorothy, as shown below:

[tex]\text{1 hour's pay} = \dfrac{2718.26}{160}\approx 16.98 \approx 17 \: \rm dollars[/tex]

Thus, the net income of Dorothy when she works 40 hours per week and her net pay is $2,718 monthly (4 week) is $17/ hour approximately.

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Step-by-step explanation:

Use the property of logarithm (change of base)

Apply to the given logarithm, considering same natural base

The rule is

[tex]\boxed{\sf log_ab=\dfrac{log_eb}{log_ea}=\dfrac{lnb}{lna}}[/tex]

Now

[tex]\\ \rm\Rrightarrow log_8(12)=\dfrac{ln12}{ln8}[/tex]

Answer:

140 π cm^2

HOPE THIS HELPS! :)

[tex]\textit{surface area of a cylinder}\\\\ SA=2\pi r(r+h)~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=5\\ h=9 \end{cases}\implies \begin{array}{llll} SA=2\pi (5)(5+9) \\\\\\ SA=10\pi (14)\implies SA=140\pi \\\\\\ SA\approx 439.82~cm^2 \end{array}[/tex]

Answer:

No

Step-by-step explanation:

1 Kilo = 1000 Grams. There are only 1837 Grams. This means that there is no way it is 2 kilos.

In response to the supplied query, we may state that Therefore, the Pythagorean theorem length of the hypotenuse is 30 units.

The Pythagorean Theorem, often known as the Pythagorean Theorem, is the fundamental Euclidean geometry relationship between the three sides of a right triangle. The area of a square with the hypotenuse side equals the sum of the areas of squares with the other two sides, according to this rule. The Pythagorean Theorem says that the square that spans a right triangle's hypotenuse opposite the right angle equals the sum of the squares that span its sides. It is sometimes written as the general algebraic notation a2 + b2 = c2.  

The Pythagorean theorem, which states that in a right triangle, the sum of the squares of the two legs (the sides that create the right angle) is equal to the square of the length of the hypotenuse, may be used to determine the length of the hypotenuse (the side opposite the right angle).

In this instance, we have two legs, one measuring 18 units and the other 24 units. Let's call the hypotenuse's length "c" for short. The Pythagorean theorem may then be used to determine the value of "c":

[tex]c^2 = 18^2 + 24^2\\c^2 = 324 + 576\\c^2 = 900\\c = \sqrt(900)\\c = 30[/tex]

Therefore, the length of the hypotenuse is 30 units.

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Answer:

C - relationship between classrooms & desks is proportional

Step-by-step explanation:

Answer:  g + s = 698

                   3g = s

Step-by-step explanation:

By looking the question, we know that gold tickets and silver tickets add up to 698, so we get:

g + s = 698

And we know that silver tickets is three times of the gold tickets.

3g = s

We combined them together, we get :

g + s = 698

3g = s

Answer:

The answer is Perpendicular bisector

Step-by-step explanation:

Perpendicular bisector is perpendicular to line segment LM.

Answer: you can you you side tools

Step-by-step explanation:

Based on the graph of this regression calculator, the number of hours that can be used to make an extrapolation of the level he could achieve is: A. 2.

A regression line can be defined as a statistical line that best describes the behavior of a data set and such, it is a line that best fits a set of data.

From the graph of this regression calculator, we can deduce that the linear regression is given by this function y ≈ 1.62x + 0.117; r ≈ 0.92.

Thus, the extrapolation would be given by:

0.14999 ≤ x ≤ 4.35.

0.39999 ≤ y ≤ 7.6.

Therefore, two (2) number of hours can be used to make an extrapolation of the level he could achieve.

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Answer:

answer is 5

Step-by-step explanation:

Answer:

384.8 cubic inches.

Step-by-step explanation:

Answer:

25 units

Step-by-step explanation:

distance = square root (-8,15)^2 (17,15)^2

Cost of Lightbulb = x

cost of switch is x-8

9x + 4(x-8) = 520.50

Use distributive property:

9x + 4x -32 = 520.50

Simplify:

13x -32 = 520.50

Add 32 to both sides:

13x = 552.50

Divide both sides by 13

X = 42.50

A lightbulb costs $42.50

A switch costs 42.50-8 = $34.50

Answer:

m= 26

Step-by-step explanation:

The sum of the angles that lie on a straight line is 180°.

(4m -5)° +(3m +3)°= 180° (adj. ∠s on a str. line)

4m +3m -5 +3= 180

7m -2= 180

7m= 180 +2

7m= 182

Divide both sides by 7:

m= 182 ÷7

m= 26

Answer:

 A is -4 B is 2.5 C is 4 D is -2.5

Step-by-step explanation:

Answer:

In the screenshot

Step-by-step explanation:

not sure about D, The square root of 6 is 2.449 and negative because of the line in front so -2.449? I'm not sure