Consider 2 1 2 divided by 1 4 . (a) Write a real-world problem for the division. (b) Create a model or write an equation for the division. (c) Find the quotient for the real-world problem in part (a). Show your work or explain your reasoning.
100 POINTS COME ON!!!

Answers

Answer 1

Answer:

2/4

Step-by-step explanation:

Answer 2

The answers are :

a) The real world problem can be given as mentioned above in part a.

b) The equation can be written as : x = [tex]2\frac{1}{2}[/tex] ÷ [tex]\frac{1}{4}[/tex]

c) The quotient will be 10.

What is division ?

Division is the process of breaking a number up into equal parts, and finding out how many equal parts can be made.

a) The real world problem can be given as " With [tex]2\frac{1}{2}[/tex] liters of petrol available , you can fill 0.25 liter of petrol in a time by a gallon in a tank. how many times you need to use gallon to fill the tank of capacity  [tex]2\frac{1}{2}[/tex] liters . "

b)

We know that in a division :

Dividend ÷ Divisor = Quotient

Let x be the quotient.

Then , the equation can be written as :

x = [tex]2\frac{1}{2}[/tex] ÷ [tex]\frac{1}{4}[/tex]

c)

Solving the real world problem as given in part (a).

If we solve it we get : no. of times we need to fill gallon :

= [tex]2\frac{1}{2}[/tex] ÷ [tex]\frac{1}{4}[/tex]

= [tex]\frac{5}{2}[/tex] ÷ [tex]\frac{1}{4}[/tex]

= 10 times

The quotient will be 10.

Therefore , the answers are :

a) The real world problem can be given as mentioned above in part a.

b) The equation can be written as : x = [tex]2\frac{1}{2}[/tex] ÷ [tex]\frac{1}{4}[/tex]

c) The quotient will be 10.

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Related Questions

in which country has involved in world war

Answers

Answer:

The following countries were involved in the world war

Germany

Austria-Hungary

Bulgaria

Ottoman Empire (the Central Powers)

These countries fought against

Great Britain

France

Russia

Italy

Romania

Japan

United States (the Allied Powers).


2) The ratio of boys to girls at the park
was 10 to 6. If there were 100 boys,
how many girls were there?

Answers

Answer:

[tex]60[/tex]

60

Step-by-step explanation:

boys 10 ×10 100

------- = ---- ------

girls 6×10 60

epic gamer question i'll mark brainliest​

Answers

Answer:

I think it is parallel

Step-by-step explanation:

Gerald borrowed $750 at 7% simple interest to be paid back in 2 years. How much interest will he pay?

Answers

Answer:

$105 interest

Step-by-step explanation:

[tex]S.I=\frac{PRT}{100}[/tex]

[tex]S.I= \frac{750*7*2}{100}[/tex]

Interest = $105

Kate is competing in a 200 m race.
She runs at a constant speed of 4.8 m/s for the first 50 m, then 3.8 m/s for 20 seconds.
The remainder of the race takes her 22 seconds to complete.
What is Kate's average speed for the entire race to 1 dp?

Answers

Answer:

3.816 m/s

Step-by-step explanation:

Answer:

3.816 m/s

Step-by-step explanation:

In pic

(Hope this helps can I pls have brainlist (crown)☺️)

Tim has 2/3 cup of chocolate syrup. If he uses 1/9 cup of chocolate syrup for each serving of chocolate milk, how many servings of chocolate milk can he make

Answers

Answer:

6 servings

Step-by-step explanation:

Each serving Tim uses 1/9 cup. So, after using the amount of syrup reduces and repeated subtraction is division.

[tex]\frac{2}{3}[/tex] ÷ [tex]\frac{1}{9}[/tex]

[tex]=\dfrac{2}{3}*\dfrac{9}{1}[/tex]

= 2 *3

= 6

can anyone help with this equation?
Simplify the expression √((8x^5 y^2)/z^3 ).

Answers

[tex]\sqrt{\dfrac{8x^5 y^2}{z^3}}\\\\\\=\dfrac{\sqrt{8x^5 y^2}}{\sqrt{z^3}}\\\\\\=\dfrac{\left( y\sqrt{8}\right) \sqrt{x^5}}{\sqrt{z^2 \cdot z}}\\\\\\=\dfrac{\left(y\sqrt{4\cdot 2} \right) \sqrt{x^2 \cdot x^2 \cdot x}}{z\sqrt z}\\\\\\=\dfrac{\left(2\sqrt 2 \right) y x^2\sqrt{x}}{z\sqrt z}\\[/tex]

If an apple and 3 bananas cost $2.50, but 2 apples and 5 bananas cost $4.50, then how many dollars do 3 apples and 6 bananas cost?

Answers

Answer:

See below:

Step-by-step explanation:

So we know that an apple and 3 bannans are dollar 2.50

We also know that 2 apples and 5 bannanas are dollar 4.50.

Therefore, if we subtract 2 apples and 5 bannanas from 1 apple and 3 bannanas we will get a price.

Therefore, 1 apple and 2 bannanas are 2 dollars. (4.50 - 2.50 = 2)

Now, we can multiply by 3 to get it for 3 apples and 6 bannanas.

3*1 + 3*2 = 2*3

3a + 6b = 6 dollars.

The cost of 3 apples and 6 bananas is $7 and this can be determined by forming the linear equation in two variables.

Given :

An apple and 3 bananas cost $2.50.2 apples and 5 bananas cost $4.50.

Let the cost of one apple be 'x' and the cost of one banana be 'y'. Then the cost of an apple and 3 bananas is given by the equation:

x + 3y = 2.5 --- (1)

The cost of 2 apples and 5 bananas is given by the equation:

2x + 5y = 4.5  ---- (2)

Now, solve the equation (1) for 'x'.

x = 2.5 - 3y  --- (3)

Now, put the value of 'x' in equation (2).

2(2.5 - 3y) + 3y = 4.5

5 - 6y + 3y = 4.5

0.5 = 3y

[tex]y = \dfrac{1}{6}[/tex]

Now, put the value of 'y' in the equation (3).

[tex]\rm x = 2.5-3\times \dfrac{1}{6}[/tex]

x = 2

Now, the cost of 3 apples and 6 bananas will be:

[tex]3 \times 2 + 6 \times \dfrac{1}{6} = 7[/tex]

So, the cost of 3 apples and 6 bananas is $7.

For more information, refer to the link given below:

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Wyatt runs 234 miles in 25 of an hour. Jackson runs 823 miles in 43 of an hour. How long does it take each of them to run 10 miles at that rate?

Answers

Answer:

About 2.9 minuets

Step-by-step explanation:

I hope this helps

help, due right now thxxxxx

Answers

Answer:

3/6, 2/3, 6/8

Answer:

Step-by-step explanation:

for the first one you count how are in the row and how many are shaded for the first one is 3/6

Give the coordinates and quadrant of Point Z.

Number graph ranging from negative ten to ten on the x and y axes. Point C is drawn at (negative four, five), point D is drawn at (negative nine, nine), point E is drawn at (five, zero), point I is drawn at (zero, nine), point J is drawn at (negative nine, zero), point L is drawn at (nine, negative nine), point P is drawn at (zero, negative nine), point X is drawn at (zero, five) and point Z is drawn at (nine, ten).


(9, 10) Quadrant II


(10, 9) Quadrant I


(9, 10) Quadrant I


(10, 9) Quadrant II

Answers

The coordinates and quadrant of Point Z is (9, 10) Quadrant I.

Which four quadrants of graph?

The X and Y axes divide the graph plane into four quadrants:

The first quarter is at the upper right corner of the plane. In this quadrant, the x and y coordinates are both positive. The second quadrant is situated in the top left corner of the plane. In this quadrant, the x-coordinate is negative while the y-coordinate is positive. The third quarter lies at the lower left-hand corner of the plane. In this quadrant, the x and y coordinates are both negative. The fourth quarter is at the lower right corner of the aircraft. In this quadrant, the x-coordinate is positive while the y-coordinate is negative.

Given:

Coordinates:

C( -4, 5), D(-9, 9), E(5, 0), I(0, 9), J(-9, 0), L(9, -9), P(0, -9), X(0, 5) and

Z(9, 10).

As, we know The upper right corner of the plane is where the first quarter is located. The x and y coordinates in this quadrant are both positive.

Hence, Z lies in Quadrant !.

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For f(x)= 1/x^2-3 substitute 3 for x in the function to solve for f(3)

Answers

Answer:

f(3) = 1/(3)^2-3

Step-by-step explanation:

To solve for when x=3, we simple replace x with 3

f(3) = 1/(3)^2-3

Given m|n, find the value of x.
+
(7x-3)
m
>
(6x+17)
The value of x

Answers

Step-by-step explanation:

7x - 3 = 6x + 17

7x - 6x = 17 + 3

x = 20

Solution → x = 20°

Can someone please help me for 40 points please

Answers

I the answer should be: 25, left in index form

Answer:

5 to the power of 3 5times5times5

Step-by-step explanation:

When you need to convert from one system of measurement to another, you should convert to the a) system that will have the highest number. b) system that will have the smallest number. c) system used on the medication label. d) metric system.

Answers

Answer:

metric

Step-by-step explanation:

it's the most widely used and will most likely be the easiest to use

Answer:

answer is a

Step-by-step explanation:

i think hope it helped

Find the Simple Linear Regression Formula of the data set shown below: (10pts)
Where the monthly e-commerce sales is Y and online advertising costs X.

Note: Round off your answers to two decimal places. No spaces in between characters.
Example format for the Final answer: y=36.11x+23.22

Answers

Uisng technology, such as a linear regression calculator or excel , the linear equation in slope - intercept format which models the data is 171.47x - 125.83

The relationship between advertising cost and e-commerce sales is positive which can be inferred from the positive value of the slope which models the data. Also, since, the correlation Coefficient is high, we can expect to have a high e-commerce sales whenever, the advertising cost is high.

Therefore, the linear regression equation is 171.47x - 125.83

Learn more : https://brainly.com/question/18405415

Cheryl is planning to spend $75 on a Christmas gift for her father. He needs new socks and ties. A store has socks s and ties t on sale for $4 and $11, respectively. Which equation models this situation?

Answers

Answer:

4s + 11t = 75

Step-by-step explanation:

Assuming you are asking for an equation to find how many socks and ties Cheryl could get with $75, then the equation 4s + 11t = 75 would represent that.

s is the number of socks that are bought (assuming s = 1 means that 1 pair of socks is bought).

t is the number of ties that are bought.

4s represents the total cost of the socks that are bought (if you plug in 4 for s, then the total cost of the socks is 4(4) = 16+

11t represents the total cost of the ties that are bought

A square chess board has sides that are 15 inches long. What is the board's perimeter?

Answers

Answer:

60 inches is the perimeter.

Step-by-step explanation:

The perimeter is all of the sides added up. because it is a square, it has 4 15 inch sides.

15+15+15+15

30+30

60

pls mark brainiest

Solve 2/v + 1/w = 1/2 for v

Answers

Answer:

v=(-4w)/(-w+2)

72 boxes sold out of 90 boxes what percent sold

Answers

Answer:

80%

Step-by-step explanation:

Answer:

80%

Step-by-step explanation:

90 boxes = 100%

72 boxes = ?

=> (72 * 100)/ 90 = 80%

A faraway planet is populated by creatures called Jolos. All Jolos are either
green or purple and either one-headed or two-headed.
Balan, who lives on this planet, does a survey and finds that her colony of 140
contains 30 green, one-headed Jolos; 45 purple, two-headed Jolos; and 75
one-headed Jolos.
One-headed Two-headed Total
Green
30
Purple
45
Total
75
140
How many green Jolos are there in Balan's colony?
A. 20
B. 65
O O
C. 50

Answers

Answer:the answer is 50

Step-by-step explanation:

75-140=65

65-45=20

75-35=45

45+45=90

30+20=50

In total there are 50 GREEN JOLOS I couldn’t get the answer myself so I sat down and actually wrote the problem out I’m taking a exam so I’ll let you guys know if it’s accurate.

If p - 5q = 4qr,
p
find the value of p when
q = 4 and r = -1.

Answers

Answer:

p - 5q = 4qr where

q = 4 and r = -1 by applying these value

p - 5(4) = 4(4)(-1)

p - 20 = -16

p = -16 + 20

p = 4

express 1 000 000 in standard form

Answers

Answer:

10^6.

Step-by-step explanation:

There are 6 digits after the 1 so it's 1 * 10^6 or just 10^6.

Find the difference (10j-7)-(-9j+2)

Answers

Answer:

19j-9

HOPE THIS HELPS

- Todo ❤️

Step-by-step explanation:

10+9=19j

-7-2=9

Line ℓ has equation y=5. Find the distance between ℓ and the point Q(0,1).

Answers

Answer:

Distance = 4

Step-by-step explanation:

Given the linear equation of line ℓ, y = 5 which is a horizontal line in which its slope, m = 0 (zero slope), and each of the x-coordinates along the line have the same y-coordinate of y = 5.

In order to determine the distance of the horizontal line from the given point Q, (0, 1), use the following distance formula:

[tex]d = \sqrt{(x_2 - x_1)^{2} + (y_2 - y_1)^{2}}[/tex]

Choose any x-coordinate to pair with the y-coordinate, y = 5. Let's use the y-intercept, (0, 5).

Let  (x₁, y₁) = (0, 1)  

      (x₂, y₂) = (0, 5)  

Substitute these values into the distance formula:

[tex]d = \sqrt{(x_2 - x_1)^{2} + (y_2 - y_1)^{2}}[/tex]

[tex]d = \sqrt{(0 - 0)^{2} + (5 - 1)^{2}}[/tex]  

[tex]d = \sqrt{(4)^{2}}[/tex]

[tex]d = \sqrt{16}[/tex]

d = 4  

Therefore, the distance of line ℓ from point Q is 4.

I WILL MARK BRAINLIEST, PLEASE HURRY
Suppose radius CA is 12 meters long. What is the diameter of the circle?

Answers

Answer:

24 meters

Step-by-step explanation:

a radius is half the diameter of the circle. hence, the diameter is 24 meters.


The height of Tower A is 690 feet more than Tower B. The two towers have a combined height of 1,384 feet. What are the heights of each tower?
Tower B is feet tall
(Simplify your answer. Type an integer or a decimal)
Tower A is feet tall
(Simplify your answer. Type an integer or a decimal.

Answers

Step-by-step explanation:

A = 690ft + B

A + B = 1.384ft

(690ft + B) + B = 1.384ft

2B = 1.384ft - 690ft

2B = 694ft

B = 694ft ÷ 2

B = 347ft

A = 690ft + B

A = 690ft + 347ft

A = 1.037ft

Tower A → 1.037 feet

Tower B → 347feet

Solve 8T 1398lb 14oz * 6

Answers

this is soo funny

haha thanks for the points

The number of pages that Rick can write varies directly with the amount of the time that he spends writing. He can write 5 pages in 1/4 hour. How many pages can Rick write in 8 hours?​

Answers

Step-by-step explanation:

How many pages can Rick write in 8 hours

= 5 pages / 1/4 hour

= 20 pages / hour

= 20 × 8 / 8 hours

= 160 pages / 8 hours

So, Rick can write 160 pages in 8 hours

Part 1

Rita hires 12 models for the show from an agency
she pays each model a fee of £130
the agency charges Rita 15% of the fee she pays each model
Rita thinks thr agency will charge her a total of less then £240
is Rita correct?
show why you think this

part 2-
Rita buys hair and makeup products for the show
the total cost of the products she buys is £43
Rita gets a discount of 1/5 of the total cost

what is 1/5 of £43?​

Answers

Part 1
130 x 12=1560
15% of 1560= $236. So Rita is correct.
Part 2
1/5 of 43 is 8.6 because 8.6 x 5=43
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