Estimate the sum by rounding to the nearest ten thousand. 18,789 + 19,019 = A) 40,000 B) 41,000 C) 20,000 D) none of the above

Step-by-step explanation:

sadly you skipped the key word in the question.

should we check under what circumstances plan A costs more than plan B ? or costs less than plan B ?

so, I don't know which inequality to solve.

but I can tell you the facts, and you need to pick the right direction for your answer.

cost of plan A for used minutes m :

cA(m) = 1.9 + 0.06m

plan B

cB(m) = 0 + 0.07m = 0.07m

to find the intersecting point, where both plans cost the same :

1.9 + 0.06m = 0.07m

1.9 = 0.01m

m = 1.9 / 0.01 = 190 minutes

up until 190 minutes plan B is cheaper.

if there are more than 190 minutes, than plan A is cheaper.

so,

m < 190 B is cheaper

m > 190 A is cheaper

m = 190 A and B cost the same

Answer:

x = 4 and x = 7

Step-by-step explanation:

→ Find the sum of both the angles

3x + x + 74 = 4x + 74

6x + x + 13 = 7x + 13

→ Equate both equations to 90

4x + 74 = 90

7x + 13 = 90

→ Minus 74 and 13

4x = 16

7x = 77

→ Divide by 4 and 7 respectively

x = 4 and x = 7

Answer:

I'm assuming that is 2x squared, and not 2 multiplied by 2, as a given question usually wouldn't come in such a silly format. I do wish people would start using (2x^2) or (2x²), though.Just substitute the value of x (-3) in to the equation to find the value of y, or P(x).2(-3)² + 7(-3) - 1 = -4

Step-by-step explanation:

Reason: It's 3 spaces from J to K, or vice versa.

We can subtract and use absolute value to get the same result

|J - K| = |-7 - (-4)| = |-7 + 4| = |-3| = 3

or

|K - J| = |-4 - (-7)| = |-4 + 7| = |3| = 3

The rate of margin used is 37.5% . The cost price of the batch of plywood is $312.5. Fence post sell for $16. The selling price was $133.33

Margin is the difference between the Selling price and the cost price. The price at which a item is sold is called the selling price and the price at which an item is bought is called the cost price.

The given markup is 60%.

We know that margin=markup÷(1+markup)

markup=60%

Substituting the values we get the rate of margin:

[tex]=\frac{\frac{60}{100} }{1+\frac{60}{100} } \\=\frac{60}{160}\\ =37.5[/tex]

Hence the rate of margin is 37.5 %.

Selling price for the plywood=$500

We know that selling price=cost price ÷(1-margin)

Let the cost price be x

[tex]x=500(1-\frac{37.5}{100} )\\x=312.50[/tex]

The cost price is $ 312.50 .

Now cost of fence = $10

Selling price of fence=cost price÷(1-margin)

substituting the values we get:

Selling price =10÷0.625

or, selling price= $16

Therefore the selling price is $16 .

Now we know that Markup percentage= profit÷ cost price

Substituting the values we get:

[tex]60\% = \frac{50}{CP}\\or,\frac{60}{10}=\frac{50}{CP}\\or,CP=83.33[/tex]

Therefore sell price=cost price+ profit

or, sell price=83.33+50

or, sell price =133.33

The sell price is $133.33

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Answer:

No

Step-by-step explanation:

The question is asking for difference which is another term for subtraction.In that regard Amy is correct, however the question asks for the difference between 3 and -5 which means she'd have to subtract 3 from -5 not the other way around.

Answer:

Carl and Alex are wearing hats.

Step-by-step explanation:

If Bob doesn't isn't wearing a hat, then Carl is, so Carl clearly is wearing a hat.

Now let's look at Alex. If he wasn't wearing a hat, then Bob would be wearing one. (If Alex doesn't wear a hat, then Bob wears

a hat). The logical conclusion is that Alex must be wearing a hat as well.

(d) the Present United States is not a good example of a command economy.

A command economy is a crucial component of a political system in the economy in which the degree of output that is permitted and the prices that may be paid for goods and services are set by a central governing body. Most industries are owned by the public.

The principal alternative to a command economy is a free market b where supply and demand determine prices and output.

A communist political system includes a command economy, whereas capitalist countries have a free market.

Cuba, North Korea, and the former Soviet Union all have command economies. Up until 1978, when it started to shift to a mixed economy that combines communist and capitalist features, China maintained a command economy. A socialist market economy has been used to characterize its existing setup.

The central government of a country must possess and manage the means of production in a command economy, commonly referred to as a planned economy.

There is no private ownership of land or capital, or it is very restricted. Prices are determined by central planners, who also manage production levels and restrict or forbid competition in the private sector. There is no private sector in a command economy because all companies are owned by or under the supervision of the central government.

Government officials establish national economic priorities in a command economy, such as when and how to promote economic growth, how to share resources, and how to disperse the produce. This frequently takes the shape of a long-term plan.

Hence, the United States today is not a very good example of a command economy.

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The maximum number of cubical boxes of side 1 feet that can be placed in a rectangular closet of length 6 feet, height 9 feet and breadth 5 feet is 270 boxes. Maximum number of boxes that can be placed along the length, height and breadth will be 168 boxes, 198 boxes and 150 boxes respectively.

Since the cube shaped boxes of length 1 feet are to be placed in the rectangular closet, the maximum number of boxes that will fit completely would be given as a comparison of volume of rectangular closet being equal to product of number of boxes and volume of 1 cubical box.

Volume of rectangular closet = Number of boxes * Volume of 1 cubical box

6 * 9 * 5 = n * (1*1*1)

Therefore, n = 270 boxes.

To calculate maximum number of boxes that will fit along the length would be calculated as product of length and breadth along 2 faces of closet and length and height along another 2 faces of closet.

Thus, [(9*6) + (9*6) + (6*5) + (6*5)] = 168 boxes along the length.

Similarly, to calculate maximum number of boxes that will fit along the height would be calculated as product of height and breadth along 2 faces of closet and length and height along another 2 faces of closet.

Thus, [(9*6) + (9*6) + (9*5) + (9*5)] = 198 boxes along the height

Similarly, to calculate maximum number of boxes that will fit along the breadth would be calculated as product of height and breadth along 2 faces of closet and length and breadth along another 2 faces of closet.

Thus, [(5*6) + (5*6) + (9*5) + (9*5)] = 150 boxes along the breadth.

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Answer:

$2000 was invested at 5% and $5000 was invested at 8%.

Step-by-step explanation:

Assuming the interest is simple interest.

Simple Interest Formula

I = Prt

where:

Given:

Create two equations from the given information:

[tex]\textsf{Equation 1}: \quad \sf P_1+P_2=7000[/tex]

[tex]\textsf{Equation 2}: \quad \sf P_1r_1t+P_2r_2t=I\implies 0.05P_1+0.08P_2=500[/tex]

Rewrite Equation 1 to make P₁ the subject:

[tex]\implies \sf P_1=7000-P_2[/tex]

Substitute this into Equation 2 and solve for P₂:

[tex]\implies \sf 0.05(7000-P_2)+0.08P_2=500[/tex]

[tex]\implies \sf 350-0.05P_2+0.08P_2=500[/tex]

[tex]\implies \sf 0.03P_2=150[/tex]

[tex]\implies \sf P_2=\dfrac{150}{0.03}[/tex]

[tex]\implies \sf P_2=5000[/tex]

Substitute the found value of P₂ into Equation 1 and solve for P₁:

[tex]\implies \sf P_1+5000=7000[/tex]

[tex]\implies \sf P_1=7000-5000[/tex]

[tex]\implies \sf P_1 = 2000[/tex]

$2000 was invested at 5% and $5000 was invested at 8%.

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Answer:

(a)  [tex]\frac{620}{3195}[/tex]

(b) [tex]\frac{645}{3195}[/tex]

Step-by-step explanation:

Relative frequency of an event = Event Frequency/Total Frequency

In this case the event is the number of responses for each reason and the total frequency is the sum of all responses.

Total Responses = 583 + 620 + 187 + 163 + 558 + 645 + 439 = 3195

(a) What is the relative frequency for the reason "study hard"?
= Number of responses for "study hard" / 3195

= 620/3195

==> [tex]\frac{620}{3195}[/tex]   Answer to (a)

(b) What is the relative frequency for the reason "have a goal in mind"?

= Number of responses for the reason "have a goal in mind"/3195

= 645/3195

==> [tex]\frac{645}{3195}[/tex]   Answer to (b)

I think it is OK to leave it as it is without reducing the fraction any further

An inference which this passage would best support is that: A. the people at the store do not share Julia’s heritage.

Deductive reasoning can be defined as a type of logical reasoning that typically involves drawing conclusions based on a given set of rules and conditions, or from one or more premises (factual statements) that are assumed to be generally (universally) true.

An inference can be defined as a process through which a reader can logically deduce the meaning or message (information) that is associated with a literary work, especially through induction.

Since "Happy Graduation, Julie." and "Names/Nombres," were inscribed on the gift, it ultimately implies that the people at the store were obviously of English speaking heritage, rather than Spanish (Julia’s heritage).

In conclusion, we can reasonably infer and logically deduce that an inference which this passage would best support is that: A. the people at the store do not share Julia’s heritage.

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Answer: A

Step-by-step explanation:

The probability of getting a number divisible by five is 1 / 9.

We are given that:

a fair six-sided die is thrown 2 times.

Sample space will be:

S = { (1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6), (3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6), (4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6), (5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6), (6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6) }
Let E = probability of getting a number divisible by five

Possible outcomes:

= { (1, 4), (2, 3), (3, 2), (4, 1) }

P(E) = 4 / 36 = 1 / 9

Therefore, the probability of getting a number divisible by five is 1 / 9.

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A university wants to know more about the knowledge of students regarding international events. They are concerned that their students are uninformed regarding news from other countries. A standardized test is used to assess students’ knowledge of world events (national reported mean= 65, S = 5). A sample of 30 students is tested (sample mean=58, Standard Error=3.2). Compute a 99 % confidence interval based on this sample data. How do these students compare to the national sampl

:Newton’s first law states that if a body is at rest or moving at a constant speed in a straight line, it will remain at rest or keep moving in a straight line at constant speed unless it is acted upon by a force. In fact, in classical Newtonian mechanics, there is no important distinction between rest and uniform motion in a straight line; they may be regarded as the same state of motion seen by different observers, one moving at the same velocity as the particle and the other moving at constant velocity with respect to the particle. This postulate is known as the law of inertia.

The compound inequality that describes the elevation x of Ted's house with respect to Sakura's house is: D. 113 < x - 15 < 120.

An inequality can be defined as a mathematical relation that compares two (2) or more integers and variables in an equation based on any of the following arguments:

Based on the information provided, the minimum and maximum heights for Sakura's house can be represented by this compound inequality:

113 < x < 120

Since Ted lives about 15 meters below her, compound inequality would be rewritten as follows:

113 < x - 15 < 120.

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Answer:

Inductive

Step-by-step explanation:

The given argument presented is an example of inductive reasoning.

Inductive reasoning entails drawing broad generalizations based on a small number of observations, and the conclusion is not necessarily guaranteed to be correct, but simply likely based on the data.

The argument presented is an example of inductive reasoning, because it is based on a specific observation and a generalization that goes beyond the available evidence.

While the previous and current mayors may be honest, based on this limited evidence, it is not necessarily true that all mayors are honest.

The argument makes the assumption that the honesty of these two persons is indicative of all mayors, which is a conclusion based on little evidence.

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Answer:

0.14×0.25= 0.035 KM

so it can travel 0.035KM in 0.25 hr

Answer:

0.035 kilometers

Step-by-step explanation:

Proportions:

0.14 kilometers ⇒ 1 hour

A kilometers ⇒ 0.25 hour

A = 0.14 kilometers * 0.25 hour / 1 hour

A = 0.035 kilometers

Using relations in a right triangle, the secant of angle θ is given by:

D. 5/4.

The relations in a right triangle are given as follows:

Using the Pythagorean Theorem, the hypotenuse of the triangle is given as follows:

h² = 9² + 12²

h = sqrt(9² + 12²)

h = 15.

The secant of an angle is 1 divided by the cosine, hence:

Which means that option D is correct.

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Answer:

Step 1. The perimeter P means adding up all four sides of a rectangle.

Step 2. Let w be the width

Step 3. Let 3w be the length since the width is one-third the length

Step 4. Then P=w+w+3w+3w=8w=20 since the perimeter P is 20 cm.

Step 5. Solving the equation in Step 4 leads to the following steps

Divide by 8 to both sides of the equation

8w%2F8=20%2F8

w=5%2F2 and 3w=15/2 and P=2(5/2+15/2)=20 which is a true statement.

Step 6. ANSWER: The width is 5/2 cm.

Step-by-step explanation:

I hope the above steps and explanation were helpful.

We get the equation in terms of n as n = s / 4 - v.

Equation:

An equation is an expression with an equal sign.

For example:

3 x + 4 y = 5

2 x + 5 y = 9 etc.

We are given an equation:

s = 4 n + 4 v

We have to solve this for n.

First we will subtract 4 v from both sides:

s - 4 v = 4 n + 4 v - 4 v

s - 4 v = 4 n

4 n = s - 4 v

Now divide both the sides by 4:

4 n / 4 = (s - 4 v) / 4

n = s / 4 - v

Therefore, we get the equation in terms of n as n = s / 4 - v.

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The arithmetic sequence from the collection is I

an = 100 +( n + 1) 2

For an arithmetic sequence, the difference between consecutive terms is always the same, and it is called common difference 'd'.

The nth term of an arithmetic sequence is expressed as;

[tex]an = a + ( n + 1) d[/tex]

Thus, the arithmetic sequences are given as follows:

For the other sequences, there are different differences between consecutive terms, hence the sequence is not arithmetic, for example:

The nth term is given as;

an = 100 +( n + 1) 2

Thus, the arithmetic sequence from the collection is I

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Looking at the histogram in C(3rd) we know that it is not symmetric. We can not(can’t) say that it is approximately normal. Hence,  C is the correct answer.

What is a histogram?

From the frequency table, we get the frequency of the first class is 20(twenty), and for the second(2) class it is 10(ten) also the remaining frequencies are correctly shown by the histogram shown in option C.

Hence, C is the correct(right) answer.

Looking at the histogram in C(3rd) we know that it is not symmetric. Hence we can not(can’t) say that it is approximately normal.

Hence C. No it is not symmetric is the correct(right) answer.

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The Area of the given composite shape is; 40 square units

We can breakdown the shape into triangle and rectangle and as such we know that;

Formula for area of triangle is;

Area = ¹/₂ * base * height

Formula for area of rectangle is;

Area = Length * Width

Thus;

Area of composite shape = (10 * 3) + (¹/₂ * 10 * 2)

Area of composite shape = 30 + 10

Area of composite shape = 40 square units

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Answer:

234$

Step-by-step explanation:

9x26=234

It should be noted that 4/7 x 1/4 is greater than 4/7 x 1/6.

It should be noted that we are to find the value that is bigger between 4/7 x 1/4 or 4/7 x 1/6.

Therefore 4/7 x 1/4 will be:

= 4/7 × 1/4

= 1/7

Also 4/7 x 1/6 will be:

= 4/7 × 1/6

= 2/21

Therefore, it should be noted that 4/7 x 1/4 is greater than 4/7 x 1/6.

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Answer:
-8

Step-by-step explanation:

Given the following question:

-8 + 13 + (-13)
Use PEMDAS to solve this question:
13 + (-13) = 0
-8 + 0 = -8
= -8

Hope this helps.

Hello..!

[tex] \: \: \ \: \: \: \: \: \: \: \: \: \: \ \sf \red{ - 8 + 13 + ( - 13)}[/tex]

[tex] \blue{\underline{ \green{ \underline{\sf \green{Explantation: }}}}}[/tex]

First, to solve the problem we take into account the Law of Signs:

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \green{\underline{ \blue{\underline{ \red{\sf Law \: of \: \: Signs:}}}}} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: - \times + = - [/tex]

Once we have the law of signs, we will eliminate the parentheses to subtract, taking into account the law of signs

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \sf \green{ - 8 + 13 - 13}[/tex]

Then we must subtract knowing that when there is a minus and a plus it is automatically minus

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf \blue{- 5 - 13}[/tex]

Well, now we will subtract the only thing we have left, which in this case is 5 -13, which gives us -8

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \sf \: The \: \: result \: \: is \: \: from \\ \: \: \: \: \: \: \: \sf \green\longmapsto \pink{ - 8}[/tex]

¿Doubts? in the comments

Answer:

I'm not sure, but what I got as my answer was c= -a/4 + 11/4 + b

Step-by-step explanation:

The rocket will take a time of approximately 2.686 seconds to hit the ground.

The height of the rocket (h), in feet, is modelled by a quadratic equation, which is used to model free fall motion, that is, the motion of an object solely due to action of gravity. In this problem we must look for the time when the rocket hits the ground:

- 16 · t² + 40 · t + 8 = 0

(t - 2.686) · (t + 0.186) = 0

Only the first root offers a realistic solution, for time is a non-negative variable. The rocket will take a time of approximately 2.686 seconds to hit the ground.

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Answer:  4:42

Step-by-step explanation: