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2 years ago

How many pairs of whole numbers have a sum of 99?

Mathematics

2 answers:

vivado [14]2 years ago

5 0

Its will be 50 pairs
starting with 0+99=99 1+98=99
2+97=99 and so on

tatuchka [14]2 years ago

5 0

0+ 99 = 99

1 + 98 = 99

2 + 97 = 99

3 + 96 = 99

4 + 95 = 99

5 + 94 = 99

6 + 93 = 99

7 + 92 = 99

8 + 91 = 99

9 + 90 = 99

10 + 89 = 99

Here are most of the pairs I could think of. 50 pairs is your answer. :)

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Stacey has a square piece of cloth. She cuts 3 inches off of the length of the square and 3 inches off of the width. The area of

ratelena [41]

Answer:

The side length of the original square was 6 inches

Step-by-step explanation:

we know that

The area of a square is

$A=b^2$

where

b is the length side of the square

Let

x ---> the length of the original square

The area of the original square is

$A=x^{2}\ in^2$

The length of the smaller square is

$b=(x-3)\ in$

The area of the smaller square is

$A=(x-3)^2\ in^2$

The area of the smaller square is 1/4 the area of the original square

$(x-3)^2=\frac{1}{4} x^{2}$

solve for x

$x^2-6x+9=\frac{1}{4} x^{2}$

Multiply by 4 both sides

$4x^2-24x+36=x^{2}$

$4x^2-x^2-24x+36=0\\3x^2-24x+36=0$

Solve the quadratic equation by graphing

using a graphing tool

x=2, x=6

see the attached figure

The solution is x=6 in

Remember that the solution must be greater than 3 inches (because Stacey cuts 3 inches off of the length of the square and 3 inches off of the width)

therefore

The side length of the original square was 6 inches

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2 years ago

Draw hundred boxes ten sticks and circles to show a number between 100 and 200

zaharov [31]

I chose the number 155

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2 years ago

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The gestation period of rhinos (487 days) is _____ percent longer than the gestation period of bears (220 days).

Talja [164]

Answer:

The gestation period of rhinos (487 days) is 121. 3 percent longer than the gestation period of bears (220 days).

Step-by-step explanation:

Given:

Gestation period of rhinos = 487 days

Gestation period of bears = 220 days

To Find:

Percentage increase = ?

Solution:

The percentage increase = $\frac{ \text{new value} - \text{final value} }{\text{final value}} \times 100$

On substituting the values,

= $\frac{ 487 - 220}{220}\times 100$

= $\frac{267}{220}\times 100$

=> $1.213 \times 100$

=> 121.3 %

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2 years ago

An ant begins at the top of the pictured octahedron. If the ant takes two "steps", what is the probability it ends up at the bot

Aleksandr-060686 [28]

Answer:

$P_{bottom}=\frac{1}{4}=0.25$

Step-by-step explanation:

Starting from the top, the ant can only take four different directions, all of them going down, every direction has a probability of 1/4. For the second step, regardless of what direction the ant walked, it has 4 directions: going back (or up), to the sides (left or right) and down. If the probability of the first step is 1/4 for each direction and once the ant has moved one step, there are 4 directions with the same probability (1/4 again), the probability of taking a specific path is the multiplication of the probability of these two steps:

$P_{2steps}=\frac{1}{4}*\frac{1}{4}=\frac{1}{16}$