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4 years ago

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Mrs.Duncan measured the lengths of a crayon and a pencil. The pencil is twice as long as the crayon. The sum of their lengths is

24 cm. What are their lengths ?

1 answer:

agasfer [191]4 years ago

5 0

Answer:

crayon- 8cm pencil-16cm

Step-by-step explanation:

if the crayon is 8, and the pencil is doubled(8x2) that's 16

8+16=24, add them together for the sum

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Box a has a volume of 32 cubic meters. box b is similar to box a. to create box b, box a's dimensions were tripled. what is the

Paladinen [302]

The volume of box B is (A) 864 cubic meters.

<h3>What is volume?</h3>

The amount of three-dimensional space enclosed by a closed surface is expressed as a scalar quantity.
For example, the space occupied or contained by a substance or 3D object.
Volume is frequently mathematically quantified using the SI-derived unit, the cubic meter.

To find the volume of box B:

We have been assigned a volume of 32 cubic meters.
The cubic root of 32 yields the box's dimensions, which are 3.1748 x 3.1748 x 3.1748 meters.
Meters when the dimensions are tripled: 9.5244 x 9.5244 x 9.5244

= 864 cubic meters.

Therefore, the volume of box B is (A) 864 cubic meters.

Know more about volumes here:

brainly.com/question/1972490

#SPJ4

The complete question is given below:

Box A has a volume of 32 cubic meters. Box B is similar to box A. To create box B, box A's dimensions were tripled. What is the volume of box B?

a. 864 m3.

b. 288 m3.

c. 96 m3.

d. 32 m3

3 0

2 years ago

Don't add links please

Alla [95]

Answer:

y=4x+9 is in the form y=mx+b , so the slope ( m ) is 4 and the Y-intercept ( b ) is 9 .

Step-by-step explanation:

slope (m) is 4

y intercept (b) is 9

3 0

3 years ago

Read 2 more answers

If 20% of a number p is 10, what is 10% of p?

kobusy [5.1K]

Answer:

5

Step-by-step explanation:

20% of p = 10

20% = 0.2

Multiply

0.2p = 10

Multiply both sides of the equation by 5

p = 50

Find 10% of p

10% = 0.1

Multiply

0.1(50)

5

10% of p is 5

Hope this helps :)

8 0

3 years ago

Read 2 more answers

Write an equation of the line that passes through the given points.

Ratling [72]

$(\stackrel{x_1}{-1}~,~\stackrel{y_1}{4})\qquad(\stackrel{x_2}{4}~,~\stackrel{y_2}{-1})\\\\\\% slope = m\stackrel{slope}{m}\implies\cfrac{\stackrel{rise}{\stackrel{y_2}{-1}-\stackrel{y1}{4}}}{\underset{run}{\underset{x_2}{4}-\underset{x_1}{(-1)}}}\implies \cfrac{-5}{4+1}\implies \cfrac{-5}{5}\implies -1$

$\begin{array}{|c|ll}\cline{1-1}\textit{point-slope form}\\\cline{1-1}\\y-y_1=m(x-x_1)\\\\\cline{1-1}\end{array}\implies y-\stackrel{y_1}{4}=\stackrel{m}{-1}[x-\stackrel{x_1}{(-1)}]\\\\\\y-4=-1(x+1)\implies y-4=-x-1\implies \blacktriangleright y = -x+3 \blacktriangleleft$

4 0

3 years ago

You are given a 16-bit binary integer X= (1110 0100 0111 1010)2 . Convert X to decimal if:

podryga [215]

Step-by-step explanation:

a). The decimal numbers is equal to the sum of binary numbers $(b_n)$ times their powers of $2(2^n) .$

That is,

$b_n \times 2^n + b_{n-1} 2^{n-1}+ ..... + b_02^0$

$\therefore (1110 \ \ 0100 \ \ 0111 \ \ 1010)_2$

= $(0 \times 2^0) + (1 \times 2^1) + (0 \times 2^2) + (1 \times 2^3) + (1 \times 2^4) + (1 \times 2^5) + (1 \times 2^6) + ( 0 \times 2^7) + (0 \times 2^8) + (0 \times 2^9) + (1 \times 2^{10} )$ $+ (0 \times 2^{11}) + (0 \times 2^{12}) + (1 \times 2^{13}) + (1 \times 2^{14})+ (1 \times 2^{15})$

= 58490

b).

The left most bit of the number represents the sign of the number. If bit = 1, the number is negative else if the bit is 0, the number is positive.

All the remaining bits (i.e all the bits except the leftmost bit) represent the magnitude of the number.

Now, X = 1110 0100 0111 1010

left most bit = 1 => number is negative

remaining bits Y = 110 0100 0111 1010

converting Y to decimal => Y = 25722

c).

Check the leftmost bit(lmb) of the number

if leftmost bit is 0 => convert do the binary to decimal conversion

if leftmost bit is 1, follow the following steps

1. Flip the bits (convert the 0's into 1's and the vice versa)

2. convert the new number from binary to decimal.

3. Add a negative sign / multiply by -1

Now, X = 1110 0100 0111 1010

left most bit = 1;

flipping the bits => Y = 0001 1011 1000 0101

converting Y into decimal => Y = 7045

multiplying Y with -1 => Y = -7045

Therefore, one's complement of X to decimal is -7045

Thus, X = -25722 in decimal.

d).

Check the leftmost bit(lmb) of the number

if leftmost bit is 0 => convert do the binary to decimal conversion

if leftmost bit is 1, follow the following steps

1. Flip the bits (convert the 0's into 1's and the vice versa)

2. convert the new number from binary to decimal.

3. Add 1 to the converted number

4. Add a negative sign / multiply by -1

Now, X = 1110 0100 0111 1010

left most bit = 1;

flipping the bits => Y = 0001 1011 1000 0101

converting Y into decimal => Y = 7045

Adding 1 to Y => Y = 7046

multiplying Y with -1 => Y = -7046

Thus, two's complement of X to decimal is -7046

7 0

3 years ago