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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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The first several terms of a sequence { an } are given. Assume that the pattern continues as indicatedand find an explicit formu
solniwko [45]

Answer:

  an = 2 + n

Step-by-step explanation:

The differences between terms are all 1. The first term is 3. The general form of the general term is ...

  an = a1 + d(n -1)

Filling in a1 = 3 and d = 1, we have ...

  an = 3 + n - 1

  an = 2 + n . . . . . . simplify

4 0
3 years ago
The hypotenuse of a right triangle is 1m longer than twice one of the other two sides. The third side of the triangle is 15m. Fi
Dimas [21]

Let the length of unknown side be x

So, hypotenuse = 2x + 1

By pythagorean theorem ie , a² = b² + c²

(2x + 1)² = x² + 15²

4x² + 1 + 4x = x² + 225

3x² + 4x -224

(3x +28)(x-8)

x = -9.33 , 8

Since, length can't be negative

x = 8

∴Unknown side length = 8 m

Length of hypotenuse = 2 x 8 + 1 = 17 m

Hope it helps now.

4 0
3 years ago
Read 2 more answers
Kelsey says that to solve the equation 3x + 6 = 24, the first step should be to subtract 6 from each side of the equation. Dana
NNADVOKAT [17]

Answer:

Kelsey is correct.

Step-by-step explanation:

One of the rules when solving an equation is that you need to isolate the variable, meaning that it just needs to be x by itself. To do that, you would need to start by subtracting 6. If you were to divide by 3 first, the answer would be twice what it should be.

7 0
3 years ago
A van has room for 6students and 2teachers . How many vans are needed for a total of 48students and 16 teachers?
Juliette [100K]
8 vans are need for all to go
7 0
3 years ago
Need the (x) & (y) value
Katen [24]

Answer:

x=0

y=6

Step-by-step explanation:

Two equations with two unknowns can be solved. Use the three steps given below.

In general you can save time if you use the simplest expression for step 1. You can choose either expression to start with x =.. or you can rewrite it, so it starts with y =...

FOLLOW THESE STEPS:

1. Rewrite the first expression so it starts with y =...

2. Then use that expression and substitute it in the other expression, to find the value for x.

3. Use that value found in step 2. and substitute it in the rewritten expssion you created in step 1. Solve this last expression and you'll get the value for y.

Step 1.

-6y + 11x = -36

-6y = -11x -36

multiply left and right of the = sign by -1

6y = 11x + 36

divide left and right of the = sign by 6

y = 11x/6 + 36/6

y = 11/6x + 6

Step 2.

-4 * ( y ) + 7x = -24

-4 * ( 11/6x + 6 ) + 7x = -24

( -44/6x - 24 ) + 7x = -24

-44/6x + 7x = -24 + 24

You can see immediately that ...x = 0

Just for fun of it ....

-44/6x + 42/6x = 24 - 24

(-44+42)/6x = 0

-2/6x = 0

-1/3x = 0

multiply left and right of the = sign by -3

3/3x = 0 * -3

x = 0

Step 3.

y = 11/6( x ) + 6. and substitute x = 0 gives:

y = 11/6( 0) + 6

y = 0 + 6

y = 6

3 0
3 years ago
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