write a ratio for the situation in three ways comparing the first quantity to the second a zoo has 14 monkeys and 18 chimpnzees

HELP ASAP!!! Alex bought a notebook containing 96 pages, and numbered them from 1 through 192. Bob tore out 25 pages of Alex’s n

zubka84 [21]

<h3>Answer: No it is not possible</h3>

=====================================================

Explanation:

Page 1 is labeled with 1 and 2, which sum to 1+2 = 3

Page 2 is labeled with 3 and 4 which sum to 3+4 = 7

Page 3 is labeled with 5 and 6 which sum to 5+6 = 11

and so on until we reach

Page 96 is labeled with 191 and 192, which sum to 191+192 = 383

Note how each page has an odd page number label and an even number label (odd on the front side; even on the back side). Adding any odd number to an even number will result in an odd number. We can prove it as such

x = some odd number = 2m+1, m is any integer

y = some even number = 2n, n is an integer

x+y = 2m+1+2n = 2(m+n)+1 = some other odd integer because it is in the form 2p+1 with p = m+n as an integer

This explains why the results 3,7,11,..,383 are all odd.

------------------------

So we effectively have this set of values {3,7,11,...,383}. This is an arithmetic sequence with 3 as the first term and 4 as the common difference.

If we add two odd numbers together, we get an even number (proof is similar to one shown above)

odd + odd = even

But if we add in another odd number, then we'll go back to an odd result

odd + odd + odd = odd

If we have an odd number of odd numbers added up, then the result will be odd. In this case, we're adding 25 values from the set {3,7,11,...,383}. The value 25 is odd, so we have an odd number of values from {3,7,11,...,383} being added up. Therefore, the result Bob will get will always be odd. There is no way to get a sum of 2012 because this value is even.

3 0

3 years ago

Please help me answer this !

liberstina [14]

Answer:

$y = -\frac{1}{2}x + 4$

Step-by-step explanation:

The equation of the line can be written in slope-intercept form, as y = mx + b.

We need to find the slope (m) and the y-intercept (b) of the line, then plug their values into the slope-intercept equation, to find the equation of the line shown.

y-intercept (b) = the point where the line intercepts the y-axis = 4

Using two points on the line, say, (0, 4) and (2, 3):

$slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{3 - 4}{2 - 0} = \frac{-1}{2} = -\frac{1}{2}$

m = -½.

Substitute m = -½, and b = 4 into y = mx + b.

The equation of the line would be:

$y = -\frac{1}{2}x + 4$

3 0

3 years ago

Triangle R S T was dilated with the origin as the center of dilation to create triangle ′′′ R ′ S ′ T ′ . The triangle was dilat

Sergeu [11.5K]

Answer:

8=6 10=7.5 12=9

Step-by-step explanation.

Divide the number by 4 then multiply it by 3

3 0

4 years ago

Read 2 more answers

Find the length of side x to the nearest tenth.<br> 309<br> X<br> 60°

WITCHER [35]

X = 1/cos(30)
X = 1.154700538
X = 1.2 (nearest tenth)

5 0

3 years ago

A bakery works out a demand function for its chocolate chip cookies and finds it to be q = D(x) = 760 - 13x, where is the quant

Diano4ka-milaya [45]

Answer:

1. 13x/760-13x

2. X = 29.23

3. X> 29.23

4. X<29.23

5. Max price = 29.23c

Step-by-step explanation:

1. D(x) = 760-13x

To get Elasticity, we differentiate the equation

D'x = -13

Elasticity is expressed as:

E(x) = -x*D'(x)/760-13x

= X(-13)/760-13x

$\frac{-13x}{760-13x}$

B. Price elasticity with demand = 1

13x/760-13x = 1

We cross multiply

13x = 1(760-13x)

13x = 760-13x

Collect like terms

26x = 760

X = 29.23

C. When elasticity of demand is elastic

13x/760-13x > 1

We cross multiply

13x > 1(760-13x)

13x > 760-13x

Collect like terms

26x > 760

X > 29.23

C. Greater than 29.23

D. When inelastic

This follows same solution as 2 and 3 but the sign is different.

E(x) <1

13x/760-13x < 1

We cross multiply

13x < 1(760-13x)

13x < 760-13x

Collect like terms

26x < 760

X < 29.23

B. less than 29.23

E. We get total revenue

X(760-13X)

= 760x - 13x²

We differentiate this

760-26x = 0

760 = 26x

X = 29.23

revenue is a maximum at price is 29.23c

f. The last question is incomplete

4 0

3 years ago