An elephant can run 1/4 of a mile in 36 seconds. At this rate, which expression can be used to determine how fast an elephant runs in miles per hour?

A) 36seconds/1/4 mile = 25 miles per hour

B) 1/4 mile/36 seconds=144 miles per hour

C) 1/4 mile/36 seconds= 25miles per hour

D) 36 seconds/1/4 mile= 144 miles per hour

Answer:

114

Step-by-step explanation:

The first term (a1) = 1 + 3 = 4   (substituting 1 for i)

The last term (L) = 12 + 3 = 15

So the sum of the 12 terms = (n/2)(a1 + L)

= (12/2) (4 + 15)

= 6 * 19

= 114   (answer)

The value of the summation of arithmetic progression is 114

What is Arithmetic Progression?

An arithmetic progression is a sequence of numbers in which each term is derived from the preceding term by adding or subtracting a fixed number called the common difference "d"

The general form of an Arithmetic Progression is a, a + d, a + 2d, a + 3d and so on. Thus nth term of an AP series is Tn = a + (n - 1) d, where Tₙ = nth term and a = first term. Here d = common difference = Tₙ - Tₙ₋₁

Sum of first n terms of an AP: Sₙ = ( n/2 ) [ 2a + ( n- 1 ) d ]

Given data ,

Let the number of terms n = 12

Let the first term a = i + 3

when i = 1

a = 4

So , the first term of the arithmetic progression is a = 4

The second term a₁ = i + 3

when i = 2

a = 5

Now , the common difference d = second term - first term

Common difference d of the arithmetic progression = 5 - 4 =1

So , d = 1

Now , the sum of n terms of an AP is given by

Sₙ = ( n/2 ) [ 2a + ( n- 1 ) d ]

Substituting the values in the formula , we get

Sₙ = ( 12/2 ) [ ( 2 x 4 ) + ( 12 - 1 ) x 1 )

Sₙ = 6 [ 8 + 11 ]

Sₙ = 6 x 19

Sₙ = 114

Therefore , the value of Sₙ is 114

Hence , The value of the summation of arithmetic progression is 114

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Answer:

Perimeter of the square MATH = 100.

Step-by-step explanation:

Given that MATH is a square, it means all sides would be equal to each other.

Given MA = 2x - 5 and AT = x + 10.

we know all sides are equal, so MA = AT.

2x - 5 = x + 10

2x = x + 10 + 5

2x = x + 15

2x - x = 15

x = 15

So, AT = x + 10 = 15 + 10 = 25.

Now the perimeter would be (MA + AT + TH + HM) = 4*AT = 4*25 = 100.

Hence, option D is the correct answer i.e. 100.

Answer:

100

Step-by-step explanation:

Sides of a square are congruent.

2x – 5 = x + 10

x = 15

Sides = 2(15) – 5 = 25

Perimeter = 25 + 25 + 25 + 25 = 100

Answer:

P = 8x+4

Step-by-step explanation:

The perimeter of a rectangle is found by using the formula

P = 2(l+w)

We know l = 3x+3 and

w = x-1

Substitute these values in

P =2(3x+3 + x-1)

Combine like terms

P = 2(4x+2)

Distribute the 2

P = 8x+4

Answer:

Step-by-step explanation:

i'm saying A is the correct answer

Answer:

Introducing a change to the subgroup

Step-by-step explanation:

Given there are four statements.  We have to find the one which represents one of the differences between an experiment and an observational study.

The answer is option 2. Introducing a change to the subgroup

Experimental and observational studies are both types of studies between which a number of differences can be identified. When conducting research studies,  various types of research in order to arrive are adopted according to the need.  

An experimental study is a study where the researcher has control over most of the variables.

On the other hand, an observation study is a study where the researcher cannot control any variable but merely observes the subject without controlling any variables.

Answer:

B

Step-by-step explanation:

Answer:

{(1, 6.0), (2, 5.75), (3, 5.50)}

Step-by-step explanation:

That is most likely the answer. Hope this helps

-Kent

Answer:

a is the answer soooo brainlyist

Step-by-step explanation:

Answer:

213

Step-by-step explanation:

You have to divide the 852 songs into the 4 categories.

852/4=

213

Step-by-step explanation:

To find whether the rates are equivalent or not, we will use proportions.

[tex]\frac{126\text{ points}}{3\text{ games}}=\frac{210\text{ points}}{5\text{ games}}[/tex]

Let us simplify our fractions.

[tex]42\frac{\text{ points}}{\text{game}}=42\frac{\text{ points}}{\text{game}}[/tex]

We can see that both unit rates are same, therefore, the rates are equivalent and equal to 42 points per game.  

Answer:

it is the two real one

Step-by-step explanation:

Answer:

Hello :

(x+4)/(4+x) = (x+4)/(x+4)  = 1   ( answer : C )  but x+4 no : 0

Answer:

C. 1

Step-by-step explanation:

Commutative property says that changing the order of the operands does not change the result. This can be expressed as:

[tex]a+b=b+a[/tex]

Using the previous information, we can say:

[tex]x+4=4+x[/tex]

And rewrite the equation as:

[tex]\frac{x+4}{x+4}[/tex]

Since the numerator and denominator are the same:

[tex]\frac{x+4}{x+4}=1\\\forall x\neq-4[/tex]

Answer:

I'm not sure if those are the answer choices but your answer should be 5/2

Hope this helps

Step-by-step explanation:

Answer:

5/2

Step-by-step explanation:

[tex]Use\\\\\sqrt[n]{a}=a^{\frac{1}{n}}\\\\\left(a^m\right)^n=a^{m\cdot n}\\---------------------\\\\\left(\sqrt[3]{2^5}\right)^{\frac{1}{4}}=\left[\left(2^5\right)^\frac{1}{3}\right]^\frac{1}{4}=2^{5\cdot\frac{1}{3}\cdot\frac{1}{4}}=\boxed{2^\frac{5}{12}}\\\\Answer:\ \boxed{\boxed{\big2^{\frac{5}{12}}}}[/tex]

Answer:

I got it wrong, but here's the answer

Step-by-step explanation:

Answer: The answer is D 12 i am pretty sure.

Answer: 70%

Step-by-step explanation:

Answer:

1/10 of an hour

Step-by-step explanation:

3/5 in a decimal is 6/10 and 7/10 - 6/10 is 1/10 of an hour

Answer:

Width of rectangular storage room= 5 feet.

Step-by-step explanation:

Let x be the width of storage room.

We have been given that the length of a rectangular storage room is 3 feet longer than its width. So the length of storage room will be x+3.

We are also given that the area of the room is 40 square feet.

Since the area of a rectangle is length times width.

[tex]\text{Area of rectangle}=\text{Length* Width}[/tex]

Let us substitute our given values in area formula.

[tex]40=x*(x+3)[/tex]

Upon distributing x we will get,

[tex]40=x^2+3x[/tex]

[tex]x^2+3x-40=0[/tex]

Now let us factor out our quadratic equation using splitting the middle term.

[tex]x^2+8x-5x-40=0[/tex]

[tex]x(x+8)-5(x+8)=0[/tex]

[tex](x+8)(x-5)=0[/tex]

[tex]x+8=0[/tex] or [tex]x-5=0[/tex]

[tex]x=-8[/tex] or [tex]x=5[/tex]

Since width can not be negative, therefore, the width of rectangle will be 5 feet.

Let us verify our answer.

Length of rectangular storage room is 3 feet longer than its width. So length will be 5+3=8.

Given: Area=40 square feet.

5*8=40.

Hence, width of rectangular storage room is 5 feet.

The width of the rectangular storage room, considering it is 3 feet shorter than the length and the area is 40 square feet, is 5 feet.

The subject of this question is Mathematics and it is typically taught in Middle School. The problem describes a rectangle where the length is 3 feet longer than the width and the area is 40 square feet. The width is x and the length is x + 3 (since it is 3 feet longer). The area of a rectangle is defined as length times width, which can be expressed as 40 = x(x + 3), or x² + 3x - 40 = 0. This can be solved as a quadratic equation. The solutions of this equation are x = 5 and x = -8. But, since dimensions cannot be negative, the width of the room is 5 feet.

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Answer:

Step-by-step explanation:

Alright, lets get started.

For train A:

Distance from Milford and Pinkerton is 300miles.

Speed of train A is 90 miles per hour.

So, time taken to complete this distance = [tex]\frac{distance}{speed}[/tex]

So, time taken to complete this distance =[tex]\frac{300}{90}=3.333[/tex]

Means train A will take 3.33 hours or say 3 hrs and 19.8 minutes to reach Pinkerton.

So,if it starts at 10:00 AM, then it will reach at 01 hrs 19.8 minutes PM (01:19.8 PM).

For train B:

Speed of train B is 70 miles per hour.

Train B will take time =[tex]\frac{300}{70}=4.29[/tex]

Means 4 hrs and 17.4 minutes.

So, if it starts at 8:00 Am, then it will reach at 12 hrs 17.4 minutes PM(12:17.4 PM).

So, train B will be reaching Pinkerton before 1:00 PM   :  Answer

Hope it will help :)

Answer:

train B will be reaching Pinkerton before 1:00 PM

Step-by-step explanation:

Answer:

144%

Step-by-step explanation:

We are told that Linnea's company's revenue in 2017 is 36/25 of its revenue in 2016..

To find the Linnea's company's revenue in 2017 as a percent of its revenue in 2016, we will have to figure out 36 is what percent of 25.    

[tex]\text{Percent}=\frac{36}{25}\times 100[/tex]  

[tex]\text{Percent}=36\times 4[/tex]      

[tex]\text{Percent}=144[/tex]  

Therefore, Linnea's company's revenue in 2017 is 144% of its revenue in 2017.

Answer:

Length: 19 feet

Width: 10 feet

Area: 190 feet[tex]x^{2}[/tex]

Step-by-step explanation:

This is a question about ratio.

Length: let [tex]x[/tex] be the actual length.

[tex]15.2 : x = 4 : 60[/tex]

[tex]x = 19 [/tex]

Width: let [tex]y[/tex] be the actual width.

[tex]8 : y = 4 : 60[/tex]

[tex]y = 10[/tex]

Area: A = xy

[tex] 19 * 10 = 190[/tex]

Final answer:

The actual art studio, based on the scale given, measures 19 feet in length and 10 feet in width, resulting in an area of 190 square feet.

Explanation:

To find the length and width of the actual art studio from the drawing plan, we need to apply the scale given which is 4 inches on the plan representing 5 feet in reality. For calculation, we first write the scale as a ratio: 4 inches ÷ 5 feet. Now, let's calculate the real-life dimensions of the studio.

Length: 15.2 inches on the drawing corresponds to (15.2 ÷ 4) × 5 = 19 feet in reality.

Width: 8 inches on the drawing corresponds to (8 ÷ 4) × 5 = 10 feet in reality.

Next, we calculate the area of the actual studio using the formula for the area of a rectangle, which is length multiplied by width.

Area = Length × Width = 19 feet × 10 feet = 190 square feet.

Answer:

Speed = 42. 86 miles per hour

Step-by-step explanation:

car accident located 5 miles away in 7 minutes

Given distance d= 5 miles

time = 7 minutes. convert minutes into hours

60 minutes = 1 hour

so 7 minutes = 7 / 60 hours

To find the speed  we use formula [tex]s= \frac{d}{t}[/tex]

d= 5  and t = 7/60

Plug in the values in the formula

[tex]s= \frac{d}{t}[/tex]

[tex]s= \frac{5}{\frac{7}{60}}[/tex]

[tex]s= 5* \frac{60}{7}[/tex]

s = 42.85714286

Speed = 42. 86 miles per hour

Answer:

I think that there is a part of your question that is missing maybe? What is the method shown?

Step-by-step explanation:

Answer:

$400,000

Step-by-step explanation:

We can write a proportion to find the total amount using the information given. A proportion is two equivalent ratios set equal to each other.

[tex]\frac{60}{100}=\frac{240000}{x}[/tex]

We will cross multiply the numerator of one ratio with denominator of the other. And then solve for y.

60x=100(240,000)

60x=24,000,000

y=400,000

Answer:

$400,000

Step-by-step explanation:

Answer:

She spend $30

A flan cost $22.5

Step-by-step explanation:

Let's call x her initial money

After she bought the flan and two chicken pies she has $24.

She spend (5/9)*x in the flan and two chicken, then

x - (5/9)*x = 24

(4/9)*x =  24

x = 24*(9/4)

x = $54

She spend (5/9)*54 = $30

Let's call f the flan cost

Each chicken pie cost 1/6 as much as the flan, then:

30 = f + (1/6)*f + (1/6)*f

30 = (4/3)*f

f = 30*(3/4)

f = $22.5

Victoria had $54 in total. She spent $30 on the flan and two chicken pies altogether. The cost of the flan is $22.50.

The problem presents a situation where Victoria spends a fraction of her money on a flan and two chicken pies. Victoria has $24 left after these purchases. To solve this, we must first calculate the total amount of money Victoria had before making her purchases. Given that 5/9 of her money was spent on the flan and two chicken pies, and she has $24 remaining, we can set up the following equation where x represents the total amount of money:

x - (5/9)x = $24

This simplifies to:

(4/9)x = $24

By multiplying both sides of the equation by (9/4), we find the total amount of money Victoria had:

x = $24 \times (9/4)

x = $54

Victoria spent 5/9 of $54 on the flan and two chicken pies, which is:

(5/9) \times $54 = $30

If each chicken pie costs 1/6 the cost of the flan, we can let f represent the cost of the flan and (1/6)f the cost of each chicken pie. We have 2 chicken pies, so the equation would be:

f + 2 \times (1/6)f = $30

This simplifies to:

f + (1/3)f = $30

Combining like terms, we get (4/3)f = $30 which leads to:

f = $30 \times (3/4)

f = $22.50

So the cost of the flan is $22.50.

Answer:

The probability is 1/7 or 14.29%

Step-by-step explanation:

In order to find this, divide the number of marbles that are green by the total number.

8/56 = 1/7 = 14.29%

Answer:

4b = 7

Step-by-step explanation:

5x = 20 has solution x = 4

8w = 32 has solution w = 4

12y = 48 has solution y = 4

whereas 4b = 7 has solution b = [tex]\frac{7}{4}[/tex]

The other 3 equations have a solution of 4 making 4b = 7 the odd one out

Answer:

(3,1)

Step-by-step explanation:

The answer is (3,1) because that's where both lines intersect.

Answer: the answer is (3,1) :)

Step-by-step explanation:

Answer:  12.0 %

Step-by-step explanation:

Since according to the question,

The initial price of the chair ( Marked price) = 36.50

And, After the discount the price of the chair = 32.12

Thus, the discount on the price = 36.50 - 32.12 = 4.38

Therefore the discount percentage = [tex]\frac{discount}{marked price} \times 100[/tex]

=  [tex]\frac{4.38}{36.50} \times 100[/tex]

= [tex]\frac{438}{36.50}[/tex]

= 12 %

Thus, the percentage of discount = 12.0 %

Step-by-step explanation:

A rational number can be written as a ratio a/b, where a & b are integers & b \neq 0. Rational numbers are terminating or repeating. The radical sign means "the positive square root of."

Example:

√144 = "the square root of 144" but indicates the positive square root of 144, which is 12

Hope this helps!!! :)

Answer:

Rational equations or expressions (think rational numbers) are any expression which is in fraction form and where the denominator is not equal to zero. Like:  [tex]\frac{2}{x} ,\frac{3}{5}[/tex] etc.

Radical expressions are those expressions that contain radicals (square, cube, fourth roots). Like 4 and -4 are the square roots of 16. A square root is written with a radical symbol √ and the number inside the radical symbol is called the radicand.

w - width

2w + 5 - length

w + w + (2w + 5) + (2w + 5) = 6w + 10 - perimeter

34 cm - perimeter

The equation:

6w + 10 = 34    subtract 10 from both sides

6w = 24    divide both sides by 6

w = 4 cm

2w + 5 = 2(4) + 5 = 8 + 5 = 13 cm