75 points to the first person who helps
The dot plot below shows the number of different types of trees in Sean's garden:

A straight line is shown with 4 equidistant marks. The first mark is labeled Redbud, the second mark is labeled Magnolia, the third mark is labeled Snowbell, and the fourth mark is labeled Maple. The first mark has 2 dots, the second mark has 3 dots, the third mark has 1 dot, and the fourth mark has 4 dots. Below the line is written Number of Trees.

Which table shows the data displayed in the dot plot?


Garden Trees Number
Redbud 4
Magnolia 1
Snowbell 3
Maple 2

Garden Trees Number
Redbud 1
Magnolia 2
Snowbell 0
Maple 3

Garden Trees Number
Redbud 2
Magnolia 5
Snowbell 6
Maple 10

Garden Trees Number
Redbud 2
Magnolia 3
Snowbell 1
Maple 4

We are given that AB ≅ CB and AD ≅ CD.

We know that BD ≅ BD, so ΔABD ≅ ΔCBD by SSS.

Then ∠1 ≅ ∠2 by CPCTC; and ∠3 ≅ ∠4, also by CPCTC.

Since ∠1 ≅ ∠2, BD is the bisector of (∠1+∠2) = ∠ABC.

Since ∠3 ≅ ∠4, BD is the bisector of (∠3+∠4) = ∠ADC.

From (5), we know BD is the angle bisector of ∠ABC. ΔABC is isosceles, so the bisector of the apex angle is also an altitude and median. That is, point M on BD and AC must be the midpoint of AC by the definition of a median.

Answer:

Joey needs to eat 7 hot dogs per minute to break his own record in next 9 minutes.

Step-by-step explanation:

Joey needs more than 72 hot dogs in 10 minutes to break his own record.That means Joey needs to eat at least 73 hot dogs in 10 minutes.

After 1 minute Joey has eaten = 10 hot dogs.

In remaining 9 minutes balance hot dogs = 73-10 =63

Therefore per minute hot dogs to be eaten = 63/9 =7

So answer is 7 hot dogs per minute to be eaten.

Joey needs to eat  7.00 hot dogs per minute for the next 9 minutes to break his own record.

To break his record, Joey Chestnut needs to eat more than 72 hot dogs in 10 minutes. After the first minute, he has already eaten 10 hot dogs. So, he has 9 minutes left to eat the remaining hot dogs needed to break the record, which is 72 - 10 = 62 hot dogs.

To find out how many hot dogs per minute Joey needs to eat for the next 9 minutes, we divide the remaining number of hot dogs by the remaining time:

Hot dogs per minute = Remaining hot dogs / Remaining time

Hot dogs per minute = 62 hot dogs / 9 minutes

Hot dogs per minute ≈ 6.89 hot dogs per minute

Therefore, Joey needs to eat  7.00 hot dogs per minute for the next 9 minutes to break his own record.

It's important to note that Joey needs to eat more than this calculated rate per minute to ensure he breaks his record, as he cannot consume a fraction of a hot dog. So, he should aim to eat at least 7 hot dogs per minute to secure his victory.

Answer would be the third option.

Area of a triangle is half of the base times the height. A=(b·h)/2

In the third option the height is 8 ft. and base is 6 ft. which when multiplied together gets you 48. Half of that is 24.

Answer:

Figure C

Step-by-step explanation:

Figure A represents a ray because it has arrow only on one end.

Figure B is a line segment because it stops on both ends.

Figure C is a line because it has arrow on both ends.

Figure D is an angle, because it is 2 rays joined at a vertex.

Answer:  D

Step-by-step explanation:

When dealing with a an exponent in fraction form:

[tex]5^{\frac{1}{3}} = \sqrt[3]{5^{1}} = \sqrt[3]{5}[/tex]

The answer is x = 3, because x = 3 has an undefined slope (m = 0 or is imaginary), and it contains 3, 0 which makes 3, 0 a solution.

Answer: x=3

Step-by-step explanation:

The graph never crosses the y axis.

The point (3,0) is on the graph.

So are all points (3,y) with y any real number.

There can't be a slope because x never changes.

Her Pop music which started at 3 hours increases by 5% which is written as 0.05 as a decimal.

You need to multiply the number of hours of pop music by 5% every month to find the new total and then add that to the 2 hours of classical.

The equation would be: f(x) = 3(1.05)x + 2

Answer:

f(x) = 3(1.05)x + 2

Step-by-step explanation:

i took the test and got it right

Answer:

union and the second question is intersection

Step-by-step explanation:

Answer:

The union of two sets A and B is the set of elements that are present in A, in B, or in both A and B.

The intersection of two sets A and B is the set of elements that are present in A, in B.

Answer:

Sam picked 27

Step-by-step explanation:

41-8=33

33+27=60

Answer:

27.

Step-by-step explanation:

So there was 41 peaches, and they sold 8 so that's 41 - 8 which is 33 peaches. But now there is 60, so you do 60 - 33 gives you how many were picked and 60 - 33 is 27.

Answer: x = 9 (choice D)

Assuming this is a geometric kite, then this means that triangle ABD is a reflection over the line BD to get triangle BCD. Furthermore, this points to AB and BC being the same length

AB = BC

3x - 5 = 22 .... substitution

3x - 5+5 = 22+5 .... add 5 to both sides

3x = 27

3x/3 = 27/3 ..... divide both sides by 3

x = 9

Answer:

21x+35[tex]\geq[/tex]160

Step-by-step explanation:

(Amount)(time)+(starting total)[tex]\geq[/tex]total

(21)(x)+(35)[tex]\geq[/tex]160

21x+35[tex]\geq[/tex]160

Answer:

A prom ticket at Valley high school cost $160. Bryan is going to save money for his ticket by walking his neighbor’s dog for $21 per week. Bryan has already has saved $35. Which inequality could be used to find the minimum number of weeks Bryan must walk the dog to earn enough to pay for his prom ticket?

A) 21x + 35 ≥ 160  

B) 21x + 35 ≤ 160  

C) 35x + 21 ≥ 160  

D) 35x + 21 ≤ 160

Step-by-step explanation:  THE ANSWER is A

Answer:

$875.00

Step-by-step explanation:

If you want to find out how much commission Anil earned in commissions last month, you must multiply $12,500 by .07 (7%) and it equals $875.00.

Hope that helps!

Answer:

The call it the Donut Eatting Contest

Step-by-step explanation:

okay the first line on that line is 0 in a min then 1 in a min then 2 in a min then 3 in a min then 4 in a min cause she said how many donuts per min

then on each person that eat that many put a x obove the number

Final answer:

To find the population of Smallville and population density per square mile, divide the total population by the area of the town.

Explanation:

The population of Smallville:

Population of Smallville: 72450

Area of Smallville: 5 miles x 1 mile = 5 square miles

Population density in Smallville:

Population density = Population / Area = 72450 / 5 = 14490 people per square mile

Answer: (B) 4√2

Step-by-step explanation:

45-45-90 is a special triangle because the side lengths are congruent and the hypotenuse is √2 times the side lengths.

So, m√2 = 8

           [tex]m=\dfrac{8}{\sqrt2}[/tex]

           [tex]m=\dfrac{8}{\sqrt2}(\dfrac{\sqrt2}{\sqrt2})[/tex]

           [tex]m=\dfrac{8\sqrt2}{2}[/tex]

           [tex]m=4\sqrt2[/tex]

Answer:

A, B, C, D

Step-by-step explanation:

A polynomial is 2 or more terms connected by operations where at least one has a variable with a power or exponent. Each has two or more terms with variables with a power. We can rewrite square roots and fractions as an exponent power.

Answer:

c

Step-by-step explanation:

Option (C) No; because x and y could be additive inverses of each other is correct.

A number is a mathematical entity that can be used to count, measure, or name things. For example, 1, 2, 56, etc. are the numbers.

It is given that:

The expression is x + y

The expression can be defined as the combination of constants and variables with mathematical operators.

If x + y is rational, must x and y each can be or cannot be rational because x and y could be additive inverses of each other.

As we know, the arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

Thus, option (C) No; because x and y could be additive inverses of each other is correct.

Learn more about the number here:

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Answer:

Toy Cars=6 and total spending by Mr.Lee=$156

Step-by-step explanation:

Let us first consider

Number of Airplanes=A Cars=C and Trains=T

Now how to start with the problem ? Just start reading it step by step. First statements says that The number of airplanes is 2/3 of The number of cars.

Now how to convert it into an mathematical expression?

here the word "=" is of most important, The number of airplanes "is" whenever you encountered "is" just place a "="

so the first statement can be converted into mathematical expression as,

A=2/3*C  (The number of airplanes is 2/3 of The number of cars.)

Now as per the second condition we can write it in mathematical form as,

C=3/5*T (The number of cars is 3/5 the number of trains).

and the third condition as,

C=3/5*T (The number of cars is 3/5 the number of trains).

Now , we have expressed the statements in mathematical expressions. we have three expressions.

Now It is also given that total number of Toys=20 so we can write it as,

A+C+T=20. ............(1)

Till now we have expressed everything in the question in mathematical form.

now for solving such type of question we need to express the expression giving total in a single entity, expressed it in terms of Airplanes,Cars or Trains,

here we are expressing it in terms of Cars so we can rewrite it (1) as,

2/3*C+C+5/3*C=20 (A=2/3*C and C=3/5*T so T=5/3*C)

by solving this we will get C=6

Total number of car toys, answer of first part

now put this value of C in expression 1,

2/3*C+C+T=20

so the value of T will be 10. T=10

and the total is toys are 20 so 20-10+6=4

Means Airplanes are 4.

Now the cost for each toy is.

A=$12,C=$8 and T=1/2 A i.e T=$6.

So the total cost would be,

4*12+6*8+10*6=$156

$156 answer of second part

I Hope this will help you to solve such kind of Problems.

Mr. Lee buys 6 toy cars for his store. The total cost for all the toys he purchased is $156. This includes the cost of toy airplanes, cars, and trains, with each toy tailoring a specific price.

The student wants to know how many toy cars Mr. Lee bought and the total cost of all toys he purchased for his store. We start with the relationships provided: the number of airplanes is 2/3 the number of cars, and the number of cars is 3/5 the number of trains. We also know that the total number of toys is 20. Let A be the number of airplanes, C be the number of cars, and T be the number of trains. So, we have A = (2/3)C and C = (3/5)T.

From these ratios, we can express airplanes and trains in terms of cars: A = (2/3)C, T = (5/3)C. The equation A + C + T = 20 becomes (2/3)C + C + (5/3)C = 20. Simplifying this, we get (10/3)C = 20, so C = 6. Thus, Mr. Lee buys 6 cars. The number of airplanes, A = (2/3) * 6 = 4, and the number of trains, T = 20 - A - C = 20 - 4 - 6 = 10.

Now let's calculate the total cost. Each toy airplane costs $12, each toy car costs $8, and each toy train costs half as much as an airplane, which is $6. The total cost is 4 airplanes * $12 + 6 cars * $8 + 10 trains * $6, which equals $48 + $48 + $60, resulting in a total of $156 spent by Mr. Lee.

Answer:

336$

Step-by-step explanation:

Given: Each invitation costs a total of 3$.

Given: There were a total of 112 invitations made.

So, the question is asking you to find the total amount spent making the invitations. To do so we need to find the product/sum. Product in mathematical terms is used to describe the answer to a multiplication problem. Sum on the other hand is used to describe the answer to an addition problem. Now you could just add, but multiplication is a better way of simplifying the problem. So instead of saying 3 + 3 + 3 + 3.. or 112 + 112 + 122, we say 122 x 3 = x.

Now that we've created the equation, we can find the answer.

122 x 3 = 336

Answer: Andri spent 336$ on materials for her invitations.

Good luck! c:

The number of bags that can be filled completely is 105 and the 3 rocks will be left over.

Division is the process of dividing a number by a given number.

Given that, the number of rocks is 1578 and the number of rocks in each bag is 15.

To find the number of bags, divide the number of total rocks by the number of total rocks in each bag:

1578/15

= 105.2

≈ 105

Now, the number of rocks in 105 bags is:

105 ×15

= 1575

So, the number of rocks left is:
1578 - 1575

= 3

Hence, the number of bags that can be filled completely is 105 and the 3 rocks will be left over.

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Answer:

The actual room measurement is 15 yrds by 10 yrds

Then the length is 15 yrds

Step-by-step explanation:

1 feet is equal to 0.3333 yards

The room measure 3 by 2 feet

Scale on blue print 1 ft to 5 yrds.

That's is to say for every ft in the Blue print...it is 5 yrds real.

So it's multipling factor bis five.

The actual measurement will be

5*(3 by 2) yrds

The actual measurement is 15 yrds by 10 yrds .

But the length is 15 yrds and breadth is 10 yrds

Answer:

8+8i

Step-by-step explanation:

remove parenthesis

3+i+5+7i

add like terms

8+8i

not sure if you wanted it foiled or like that

[tex]Use\\\\(ab)^n=a^nb^n\\\\ (a^n)^m=a^{n\cdot m}\\-------------------\\\\\left(r^{-3}s^2t\right)^4=\left(r^{-3}\right)^4\left(s^2\right)^4(t)^4=r^{(-3)(4)}s^{(2)(4)}t^4\\\\=\boxed{r^{-12}s^8t^4}\to\boxed{\dfrac{s^8t^4}{r^{12}}}[/tex]

To simplify the expression (r⁻³ s² t)⁴, the power of a power rule is used to obtain the result r⁻¹² s⁸ t⁴.

To simplify the expression (r⁻³ s² t)⁴, we apply the power of a power rule, which states that (ab)c = ab*c. Using this rule, we raise each factor within the parentheses to the fourth power:

Therefore, the simplified expression is r⁻¹² s⁸ t⁴.

Total number of fruits

                      = 15 apples + 7 Oranges + 3 Strawberries + 1 banana + 5 limes + 9 pineapples

= 15+7+3+1+5+9

= 22+3+1+14

= 25+15

= 40 fruits

The total is 40 fruits which should be sent to  (2401 W. Grace Street).

Answer:

The total is [tex]40[/tex] fruits which should be sent to  ([tex]2401[/tex] W. Grace Street)

Step-by-step explanation:

Let

x------->the total number of fruits

Find the total number of fruits

[tex]x=15\ apples + 7\ Oranges + 3\ Strawberries + 1\ Banana + 5\ limes + 9\ pineapples[/tex]

[tex]x=15+7+3+1+5+9[/tex]

[tex]x=40\ fruits[/tex]

Answer:

0.9 represents the amount of the original price he is paying. i.e 0.9 of the original price equals the sales price

Step-by-step explanation:

Answer:

C The percent, as a decimal, of the original price that Ray pays

Step-by-step explanation:

The lines j' and k' are parallel lines.

                Option: B is the correct answer.

We are given Line j ans Line k such that both are parallel to each other.

Now as we know that the translation transformation just change the position of the location but does not changes it shape.

As both the lines were parallel to each other so on translating both of them they just shifted some units to the right but the behavior remains the same.

Also, from the figure attached to the answer we may observe that the two lines are parallel to each other as the distance between the two lines at each point is constant.

            Hence, the correct answer is:

                       Option: B