Toby and Marcos both collect stamps. Toby has 10 stamps and collects 4 new stamps every week. Marcos has 60 stamps and collects 2 new stamps every week. After how many weeks will Toby and Marcos have the same number of stamps?

Answer:

f=32

Step-by-step explanation:

f /4 =8

( f/ 4 )*(4)=(8)*(4)

Step-by-step explanation:

21/20 = m/100

m = 100 * (21/20) = 105.

Answer:

196 m² ; 1000 m

Step-by-step explanation:

Given that:

Dimension of rectangular garden = 60m by 40m

Width of the 2 paths that run across each other = 2m

Hence,

Area of path 1 = (length * width) = (60 * 2) = 120m²

Area of path 2 = (breath * width) = (40 * 2) = 80m²

Area of Point where both paths cross each other (2 * 2) = 4m²

Total area covered by both path = (120m² + 80m² - 4m²) = 196m²

B.)

Area of rectangular field = 60000m²

Ratio of length and breadth = 3 : 2

Length * breadth = 60000

x ; breadth = (2/3)x

x * (2/3)x = 60000

2/3 x² = 60000

x² = 60000 ÷ 2/3

x² = 40,000

x = sqrt(40000)

x = 200

(3/2) * 200 = 300

Length = 300

Hence,

Perimeter = 2(length + breadth)

Perimeter = 2(300 + 200)

Perimeter = 2(500)

Perimeter = 1000m

Answer:

B

Step-by-step explanation:

Answer:

Addition

Step-by-step explanation:

By simple addition we can reduce the no. Of steps involved.

Answer:

Subtracting; x = 3/2, y = 8

Step-by-step explanation:

1. Subtracting them from one another because the 1/2y term matches up.

2. when added together:

8x = 12

x = 3/2

plug the x value into one of the equations:

y = 8

Answer:

it's in a pattern if you can figure it out you will get you will get your answer

Step-by-step explanation:

Answer:

Step-by-step explanation:

Q1)

Use Phythogoras theorem:

[tex](AC)^2=(BC)^2+(AB)^2\\BC^2=AC^2-AB^2\\BC^2=6^2-4^2\\BC^2=36-16\\BC^2=20\\\\Apply\ square\ on\ both\ sides\\\\\sqrt{BC^2}=\sqrt{20} \\BC=\sqrt{20} \\BC=\sqrt{10(2)} \\BC=\sqrt{5(2)(2)} \\BC=2\sqrt{5}[/tex]

Q2)

Apply phythogoras theorem:

[tex]CD^2=CE^2+DE^2\\CD^2=7^2+9^2\\CD^2=49+81\\CD^2=130\\\\Apply\ square\ root\ on\ both\ sides\\\\\\sqrt{CD^2} = \sqrt{130} \\\\CD=\sqrt{130} \\\\CD=11.4[/tex]

Q3)

Apply phythogoras theorem again:

[tex]BC^2=BD^2+CD^2\\BC^2=7^2+13^2\\BC^2=49+169\\BC^2=218\\\\Apply\ square\ root\ on\ both\ sides\\\\\\sqrt{BC^2} =\sqrt{218} \\\\BC=\sqrt{218} \\\\BC=14.76[/tex]

I have an attached an image for Question 2 for better understanding the length of DE in question equals 15 - 6 = 9

Answer:

-x+11

Step-by-step explanation:

am not sure if this is correct but

2x-3x=-x

-7+18=11

-x+11

Answer:

Find the Equation of a Line Given That You Know Two Points it Passes Through. The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept.

Step-by-step explanation:

Answer:

$.80 the new amount is $10.80

Brainliest Please!!!!?!!!!!!!!!!!

Answer:

b / (b - 8)

Step-by-step explanation:

Given that :

Litres of water held by bucket = b

Jar holds 8 litres fewer than bucket; hence, litres held by jar = b - 8

The number of times bucket can hold than jar is :

Litres held by bucket / litres held by jar

b / (b - 8)

Answer:

w = -19

Step-by-step explanation:

10 + w = -9

-10         -10

w = -9 - 10

w = -19

Answer:

Its supposed to be 28.52 - 11.20 not 11.2

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

1)Premium = 615,000 Rupees

2)Premium = 492,000 Rupees

Step-by-step explanation:

Property worth = 20,500,000 Rupees

Premium rate = 3%

1) the property is fully insured means the property is insured to 100% of its value.

Thus, the insured value = 20,500,000 Rupees

Thus,

the premium = 20,500,000 × 3%

Premium = 615,000 Rupees

2) the property is insured to 80% of its value.

Thus, the insured value = 20,500,000 × 80% Rupees = 16,400,000 Rupees

Thus,

the premium = 16,400,000 × 3%

Premium = 492,000 Rupees

Step-by-step explanation:

[tex]x = \frac{7}{ \sqrt{3} } = \frac{7 \sqrt{3} }{ \sqrt{3 } \times \sqrt{3} } = \frac{7 \sqrt{3} }{3} [/tex]

Answer:

The answer is below

Step-by-step explanation:

Distance between two points [tex]A(x_1,y_1)\ and\ B(x_2,y_2)\ on \ the\ coordinate\ plane[/tex]

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

The area of rectangle = length * breadth

The area of rectangle ABCD = |AB| * |BC|

[tex]|AB|=\sqrt{(6-0)^2+(4-4)^2}=6\\\\|BC|=\sqrt{(6-6)^2+(0-4)^2} =4[/tex]

The area of rectangle ABCD = |AB| * |BC| = 6 * 4 = 24

E(x, y) is midpoint of line DC. Its coordinate is:

x = (6 + 0) / 2 = 3; y = (0 + 0) / 2 =0

The coordinate of E = (3, 0)

F(a, b) is midpoint of line DA. Its coordinate is:

a = (0 + 0) / 2 = 0; b = (4 + 0) / 2 = 2

The coordinate of E = (0, 2)

The area of rectangle DEGF = |DE| * |DF|

[tex]|DE|=\sqrt{(3-0)^2+(0-0)^2}=3\\\\|DF|=\sqrt{(0-0)^2+(2-0)^2} =2[/tex]

The area of rectangle ABCD = |DE| * |DF| = 3 * 2 = 6

Therefore, area of rectangle DEGF is one fourth the area of rectangle ABCD

Answer:

1. 24 + x

2. 7v - 14

3. 3v - 27

Step-by-step explanation:

Distributive property means that you go through something by either multiplying or dividing by whatever may be in the parentheses.

1. For one you would multiply the 3 through. 3 x 8 + 3x which can be simplified into 24 + 3x.

2. For two you would multiply the 7 through. 7v - 7 x 2, which can be simplified into 7v - 14.

3. For three you would multiply the 3 through. 3v - 3 x 9, which can be simplified into 3v - 27

Hope this helps!

Please tell me if I am incorrect I enjoy learning from my mistakes!

Good luck!

Answer:

Your choices of answers are confusing , but It looks like A is a good fit

Step-by-step explanation:

[tex]x^{2}[/tex] + 14x +54  ( from drawing )   [ leave the web address for the graphing webpage so you can use it to check answers]

complete the square on the above expression

[tex]x^{2}[/tex] +14x + [tex]7^{2}[/tex] + 54 - 49   ( b/c we added 49 to complete square)

(x+7)^2 + 5

So this looks a bit like answer A

Answer:

Im not gonna explain i will give you the answer that i came up with I currently have 60 right now hope this is right

Step-by-step explanation:

Answer:

1.   20 cm^2

2.  40 cm^2

3.   14 cm^2

4    49 cm^2

Step-by-step explanation:

Area of triangle= 1/2(base)*(height)

Area of rectangle= (base)*(height)

1. 1/2(10)(4)=20

2. (8)(5)=40

3.1/2(4)(7)=14

4. (7)(7)=49

Answer:

y = (-2/3)*x -7

Step-by-step explanation:

2x+3y=15

3y = -2x + 15

y = (-2/3) *x + 5

slope for parallel line should be -2/3 too

pass (-3 , -5)      y = mx + b      b = y - mx = (-5) - ((-2/3) * (-3))

b = -5 - 2 = -7

parallel line: y = (-2/3)*x -7

Answer:

The friend is correct

Step-by-step explanation:

The ratio of dogs+cats to the other pets is 29. However the ratio of dogs+cats to the total number of pets is 8:37. Which they didn’t ask for, and ask for the ratio of dogs+cats to other pets.

Answer:

Your friend is correct.

Step-by-step explanation:

You have 3 dogs and 5 cats; that makes [8] pets. Now, add up the rest of your pets (excluding dogs and cats, of course).

7 (squirrels) + 8 (birds) + 10 (lizards) + 4 (beetles) = [29] pets

[8:29]

By the looks of it, the mistake made here was adding up everything when calculating the second part of the ratio, including the dogs and cats (this shouldn't have been done).

Hope this helps, and have a good one.

Answer:

well for me it's because

Step-by-step explanation:

Of the raise to power

Answer:

Compounded Quarterly

Step-by-step explanation:

This is because the compound interest equation is dependent on the number of times the amount is compounded per year. Monthly is 12 times per year and quarterly is only 4. Simple interest stays at a linear rate.

Answer:

50

Step-by-step explanation:

Already done this

Answer:

50

Step-by-step explanation:

i just simplified the expression

Answer:

there are 3 girls and 4 boys in the family. The girl has 3 sisters and 3 brothers.

Step-by-step explanation:

If there are 4 girls and 3 boys than the girl has 3 sisters and 3 brothers.

the boy has 4 sisters and 2 brothers. 2 is half of 4.