Division number story with the answer 5/2

Answer:

The coordinates of the cross on the scale drawing which locates where Kim can plant the tree is (3.45 cm, 0.58 cm)

Step-by-step explanation:

The question relates to coordinates geometry and the solution can be obtained graphically by construction as shown in the attached drawing

The given parameters of the scale drawing are;

The scale of the drawing is 1 cm = 2 m

The dimensions of the rectangle representing the garden in the scale drawing is given as follows;

The width of the rectangle = 2.5 cm

The length of the rectangle = 4 cm

The required location where the tree is to be planted = 7 m from A and 4 m from point C

Therefore, the location where Kim can plant the tree on the scale drawing is 3.5 cm from point A and 2 cm from point C

Taking the coordinate of point A as the origin, we have;

The coordinates of point A = (0, 0)

∴ The coordinates of point C = (4, 2.5)

The general equation of a circle is (x - h)² + (y - k)² = r²

Where, (h, k) is the coordinate of the center of the circle

The location of the point is on a radius 3.5 cm from point A and a radius 2 cm from point C

Therefore, for point A, we have;

(x - 0)² + (y - 0)² = 3.5²

x² + y² = 12.25...(1)

For point C, we have;

(x - 4)² + (y - 2.5)² = 2² = 4

Which gives;

x² - 8·x + 16 + y² - 5·y + 6.25 = 4

x² + y² - 8·x - 5·y + 22.25 = 4

We have x² + y² = 12.25 from equation (1), therefore, we have;

12.25 - 8·x - 5·y + 22.25 = 4

- 8·x - 5·y = 4 - 22.25 - 12.25 = -30.5

∴ 8·x + 5·y = 30.5

y = (30.5 - 8·x)/5

Therefore, we have;

x² + y² = 12.25 = x² + ((30.5 - 8·x)/5)² = 12.25

Using a graphing calculator we get;

356·x² - 1952·x + 2496 = 0

Which gives;

x = (1952 ± √((-1952)² - 4×356×2496))/(2 × 356)

x = 3.452197227 or 2.03094884081

To two decimal places, we have the coordinates of the points where the tree can be planted given as follows;

Therefore, y = (30.5 - 8×3.452197227)/5 = 0.5764844368

or y = (30.5 - 8×2.03094884081)/5 = 2.8504818547

y = 0.5764844368 or 2.8504818547

To two decimal places, we have the coordinates of the places where Kim can plant the tree are given as follows;

(3.45, 0.58) or (2.03, 2.85)

We note that the point (2.03, 2.85) is at the outside the drawing the area as 2.85 cm is more than 2.5 cm which is the width (height) of the rectangle as shown in the attached drawing created with Microsoft Word.

Therefore, the coordinates of the cross where Kim can plant the tree is (3.45, 0.58)

Answer:

Step-by-step explanation:

Make sure to use protractor and cross tools to get full marks

Thank you

Answer:52

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Animal Stickers = 15

Flower stickers = 28

15/3= 5 in each row

28/4 = 7 in each row

7-5= 2

Answer:

Step-by-step explanation:

1). Slope of a line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,

   m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

   Therefore, slope of the line passing through two points (2, -10) and (-2, 18) will be,

   m = [tex]\frac{-10-18}{2+2}[/tex]

  m = -7

2). From the table attached,

    Slope of the line = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

    Slope of line passing through (4, -6) and (0, -2) will be,

    Slope = [tex]\frac{-6+2}{4-0}[/tex]

    Slope = -1

Answer:

the answer would be 5 hours

Step-by-step explanation:

we know he has 3000 miles to travel so if he travels 600 mph than you would have to divide.

3000/600 = 5

another way you could solve it is to take two zeros from each point so that you have 30 and 6, then you divide then.

30/6 = 5

and ta da the question is sloved!!!

Answer:

The batch of jam from this summer

Step-by-step explanation:

Every summer, Ronald makes cranberry-pear jam with the fruit he collects from his garden.

For last summer

Last summer, he used 3 cups of cranberries and 5 cups of pears to make his jam.

Hence,

5 cup of pears = 3 cups of cranberries

1 cup of pears = x

Cross Multiply

5x = 3

x = 3/5

x = 0.6

1 cup of pears = 0.6 cup of cranberries

For this summer

This summer, Ronald decided to make an even larger batch using 5 cups of cranberries and 8 cups of pears.

Hence,

8 cup of pears = 5 cups of cranberries

1 cup of pears = x

Cross Multiply

8x = 5

x = 5/8

x = 0.625

1 cup of pears = 0.625 cup of cranberries

From the above calculation we can see that the quantity of cranberries to 1 cup of pears from this summer is higher than that of last summer

Therefore, the batch of jam that tasted more like cranberries is the batch of jam from this summer

Answer:

This summer’s batch jam tasted more like cranberries.

Step-by-step explanation:

IXL

Answer:

x = 24

Step-by-step explanation:

3x - 2y = 18

y = 27

3x - 2(27) = 18

3x - 54 = 18

3x = 72

x = 24

Answer:

x=24

Step-by-step explanation:

3x-2y=18

Put the y value where it belongs...

3x-2(27)=18

3x-54=18        Separate the x

    +54  +54

3x=72         Divide

x=24

Answer:

5n=s

Step-by-step explanation:

5*n notebooks

5n=s

First, find the slope using the equation, y2 - y1 / x2 - x1

1-5 / 4 - - 4 = -4/8 =  -1/2

plug this into slope intercept form

y = -1/2x + b

Next use one of the points to find b using point-slope form. I will use (4,1)

y - y1 = m ( x - x1)

y - 1 = -1/2 (x - 4)

y -1 = -1/2x + 2

+1                  +1

y = -1/2x + 3 is your equation

Step-by-step explanation:

1. Right

2. Right

3. Right

4. Right

5. Right

6. Right

7. Its not properly visible sorry for this.

8. Its wrong

[tex] (\frac{1}{3} ) {}^{2} = \frac{1}{9} [/tex]

9. Right

10. Its wrong

[tex]0.5 {}^{3} = 0.125[/tex]

11. Right

12. Its wrong.... Bcz square of minus is plus

[tex] - 9 {}^{2} = 81[/tex]

13. Right

14. According to the BODMAS rule..

[tex]15 - 7 \times 2 + {2}^{3} [/tex]

[tex]15 - 14 + 8[/tex]

[tex]1 + 8 = 9[/tex]

15.

[tex](11 - 8) {}^{2} - 2 \times 6[/tex]

[tex]3 {}^{2} - 12[/tex]

[tex]9 - 12 = - 3[/tex]

16.

[tex]12 + \frac{ {9}^{2} }{3} [/tex]

[tex]12 + \frac{81}{3} [/tex]

[tex]12 + 27 = 39[/tex]

... ✌️❤️

Answer:

1

Step-by-step explanation:

Answer: a) 1800g b) 300g c) 1200g

Step-by-step explanation:

a) 1.8 x 1000 = 1800g

b) 1800g / 6 toys= 300g > the weight of one toy

c) 300g x 4 toys = 1200g / 1000 = 1.2 kg

Answer:

a. 1.8kg to grams

1000g =1kg

x =1.8kg

cross multiply

x = 1.8 x 1000

x= 1800g

b. weight of one toy

6 toys = 1800g

1 toy = 1800÷6

1 toy = 300g

c. 1kg = 300g

4toys = x

x = 4 x 300

x = 1200g

1200g to kilogram

1000g = 1kg

1200g = x

cross multiply

1000x = 1200

x = 1200÷1000

x = 1.2kg

Answer:

multiplucation problem

Step-by-step explanation:.

Answer:

C

Step-by-step explanation:

This is basically:

7 x 3.5 x 104 = 24.5 x 104

Answer:

No, because not all of the pairs represent the same ratio. ...

Answer:

$110

Step-by-step explanation:

1000-75-75-350-130-130-130=$110 in change

Answer:

Step-by-step explanation:

The answer is D

1.19/7-.17

1.20/8-.15

1.26/9-.14

1.08/6-.18

i think this is it

Answer- This is a fairly simple calculation, I got a -1/5,

Step-by-step explanation:

This is the way solved it, just substitute the x value for 1, and just solve.  Hope it helps.

Answer:

-3

Step-by-step explanation:

divide both side by 6 to find t

Answer:

8000000000000000000000000000000000

Answer:

5X5=

-X4=

-+25=

-divide by 5=

Step-by-step explanation:

hope thats ok for you please mark me as brainliest

Answer:

The answer is D because, John is gonna keep running the multiples of 8.

Step-by-step explanation:

8X2= 16

Pi is the ratio of the circumference of a circle to its diameter, D

Answer:

D.

Step-by-step explanation:

is the ratio of the circumference of any circle to the diameter of that circle

Answer:

28/5

Step-by-step explanation:

Answer:

c = 8+5n

total cost of 13 tickets = $68

Step-by-step explanation:

c = 8 + 5(12)

c = 8 + 60

c = 68

(i put 12 because were already adding 8 for that ONE ticket)

Answer:

30%

Step-by-step explanation:

30 blocks are shaded out of the 100