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zvonat [6]
3 years ago
9

Mrs. Duncan measured the lengths of a crayon and a pencil. The pencil is double the length of the crayon. The sum of their lengt

h is 24 centimeters. What are their lengths?
Mathematics
1 answer:
Margarita [4]3 years ago
8 0

Answer: The length of pencil is 16 centimetres and length of crayons is 8 centimetres

Step-by-step explanation:

Let the length of crayon =x

Length of a pencil =2x

As according to question that the sum of their length is 24 centimetres

So we have

x+2x=24\\\\\Rightarrow 3x= 24 \\\\\Rightarrow x= \dfrac{24}{3} =8

Therefore the length of crayon = 8 centimetres

Length of pencil= 2x= 2\times x = 2\times 8 =16 centimetres

Hence, the length of pencil is 16 centimetres and length of crayons is 8 centimetres

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Write an equation in slope intercept form for the line that travels through (1,-2) and (6,8)
MariettaO [177]

Answer:

y=2/1x

Step-by-step explanation:

Subtract (6,8) by (1, -2)

8--2/6-1=10/5

Simply

10/5=2

Plug in

y=2x

3 0
3 years ago
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um approximatly 0.34519202904

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2 years ago
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Use substitution to solve the<br> following system of equations.<br> 2x + 4y = 12 AND x=y - 3
Kamila [148]

Answer:

The solution is (0, 3)

Step-by-step explanation:

First, reduce 2x + 4y = 12 to x + 2y = 6, for easier calculations.

Next, substitute y - 3 for x in the other equation:

y - 3 + 2y = 6, or

3y = 9

Then y = 3.  Since x = y - 3 in general, x = 3 - 3 = 0 when y = 3.

The solution is (0, 3)

8 0
3 years ago
which was one cause of the rise of the persian empire? a. the persians forced the people they conquered to convert to zoroastria
sukhopar [10]

The correct answer is D. They merged religious which was from the lands which were conquered with zoroastrian rituals.

The rise of persian empire was because of Cyrus the great and the Achaemenid Empire. People who were defeated by Cyrus they called him law giver and worthy ruler. People who followed him referred t o him as their father.

He build Pasargadae capital city and brought many architectural possibilities.

He allowed people to have their own culture and religion and all the jews who were held by babylonian were being freed.

3 0
3 years ago
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family has a square driveway with an area of 210.25 m exponent 2. Find the perimeter of the driveway. Round your answer to the n
miv72 [106K]

Answer:

191 ft.

Step-by-step explanation:

From the question given above, the following data were obtained:

Area (A) of square = 210.25 m²

Perimeter (P) =?

Next, we shall determine the length of each side of the drive way. This can be obtained as follow:

Area (A) of square = 210.25 m²

Length (L) =?

Area of a square is given by:

A = L²

210.25 = L²

Take the square root of both side

L = √210.25

L = 14.5 m

Thus, the length of each side of the drive way 14.5 m

Next, we shall determine the perimeter of the drive way. This can be obtained as follow:

Length (L) = 14.5 m

Perimeter (P) of square =?

Perimeter of a square is given by:

P = 4L

P = 4 × 14.5

P = 58 m

Finally, we shall convert 58 m to foot. This can be obtained as follow:

1 m = 3.3 ft

Therefore,

58 m = 58 m × 3.3 ft / 1 m

58 m = 191.4 ft

58 m = 191 ft

Thus, 58 m is equivalent to 191 ft.

Therefore, the perimeter of the drive way is 191 ft.

8 0
3 years ago
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