The number of dogs at the shelter is a two digit, odd number. It is more than 80. The tens digit is less than the ones digit. The sum of the digits is 17. How many dogs are at the shelter?

Answer:

Step-by-step explanation:

1. (a + b)2 = a2 + 2ab + b2; a2 + b2 = (a + b)2 − 2ab

2. (a − b)2 = a2 − 2ab + b2; a2 + b2 = (a − b)2 + 2ab

3. (a + b + c)2 = a2 + b2 + c2 + 2(ab + bc + ca)

4. (a + b)3 = a3 + b3 + 3ab(a + b); a3 + b3 = (a + b)3 − 3ab(a + b)

5. (a − b)3 = a3 − b3 − 3ab(a − b); a3 − b3 = (a − b)3 + 3ab(a − b)

6. a2 − b2 = (a + b)(a − b)

7. a3 − b3 = (a − b)(a2 + ab + b2)

8. a3 + b3 = (a + b)(a2 − ab + b2)

9. an − bn = (a − b)(an−1 + an−2b + an−3b2 + ··· + bn−1)

10. an = a.a.a . . . n times

11. am.an = am+n

12. am

an = am−n if m>n

= 1 if m = n

= 1

an−m if m<n; a ∈ R, a 6= 0

13. (am)n = amn = (an)m

14. (ab)n = an.bn

15. a

b

n

= an

bn

16. a0 = 1 where a ∈ R, a 6= 0

17. a−n = 1

an , an = 1

a−n

18. ap/q = √q ap

19. If am = an and a 6= ±1, a 6= 0 then m = n

20. If an = bn where n 6= 0, then a = ±b

21. If √x, √y are quadratic surds and if a + √x = √y, then a = 0 and x = y

22. If √x, √y are quadratic surds and if a+ √x = b+ √y then a = b and x = y

23. If a, m, n are positive real numbers and a 6= 1, then loga mn = loga m+loga n

24. If a, m, n are positive real numbers, a 6= 1, then loga

m

n

= loga m−loga n

25. If a and m are positive real numbers, a 6= 1 then loga mn = n loga m

26. If a, b and k are positive real numbers, b 6= 1, k 6= 1, then logb a = logk a

logk b

27. logb a = 1

loga b where a, b are positive real numbers, a 6= 1, b 6= 1

28. if a, m, n are positive real numbers, a 6= 1 and if loga m = loga n, then

m = n

Answer: 17500 meters

Step-by-step explanation: 7 times 2.5 is 17.5 and one meter is 0.001 kilometers so

17.5 in meters is 17500.

Answer:

slope=-2

Step-by-step explanation:

Okay so we just take those coordinates and apply them to this formula:        

y2-y1/x2-1

then simplify to get -2

if you want me to elaborate just say the word

Answer: 61.5

Step-by-step explanation: gave up on deltamath

Answer:

40.32

Step-by-step explanation

4*1.2=4.8

7*1.2=8.4

8.4*4.8

=40.32

Answer: It will be 60m^2

Answer:

54 word per minute

Step-by-step explanation:

Answer:

a [tex]A = 30 + 0.45 n[/tex]

b [tex]A = 90.3[/tex]

c 0 customers

Step-by-step explanation:

Given

[tex]Base\ Amount = 30[/tex]

[tex]Rate = 0.45[/tex] per customer

Solving (a): Amount (A) on n customers

This is calculated as:

[tex]A = Base\ Amount + Rate * n[/tex]

[tex]A = 30 + 0.45 * n[/tex]

[tex]A = 30 + 0.45 n[/tex]

Solving (b): Amount on 134 customers

In this case: n = 134

So:

[tex]A = 30 + 0.45 * 134[/tex]

[tex]A = 30 + 60.3[/tex]

[tex]A = 90.3[/tex]

Solving (c): Customers at noon.

At noon, the amount is 30.

So:

[tex]A = 30 + 0.45 n[/tex]

[tex]30 = 30 + 0.45n[/tex]

Collect like terms

[tex]0.45n = 30 - 30[/tex]

[tex]0.45n =0[/tex]

[tex]n = 0[/tex]

Answer:

-10, 10, 25, 25, 25, 32, 32, 32

Its 25

Step-by-step explanation:

The median is the middle number if there are an even amount of numbers you would have two medians add them the divide by two

Answer:

Sydney car can go 44.4 miles on gallon

Answer:

13

Step-by-step explanation:

5²+12²=c²

25+144=c²

169=c²

c=√169

c=13

Answer:

3ab + 3a + 2b + 2

3a(b+1)+2(b+1)

(b+1)(3a+2)

Answer:

0

Step-by-step explanation:

Any horizontal line has a slope of 0.

Answer:

it should be 2 units

Step-by-step explanation:

18 I believe .........

Answer:

1/18

Step-by-step explanation:

2/3-1/2=1/6

1/3 x 1/6=1/18

Answer:

The point estimate of the population mean is of 8.6 gallons sold.

Step-by-step explanation:

Point estimate for the population mean:

From a large sample, the point estimate for the population mean is the sample mean.

In this question:

The sample mean number of gallons sold is 8.6. This means that the point estimate of the population mean is of 8.6 gallons sold.

Answer:

where is the rest of the questions

Answer:

Trinomial

Step-by-step explanation:

Its called a Trinomial since it has 3 terms in it                                                                                                                                

Hope its helps!

Answer:

2/4 3/6 4/8 5/10 6/12 7/14 8/16 9/18 10/20

Step-by-step explanation:

What number must you add to x² + 16x = 3 to complete the square 64: Option C

You should be aware that a perfect square is a term that has two common factors

The given equation is x² + 16x = 3

To make the equation a perfect square, Add the square of half of the coefficient of s to both sides

This is to say that (16/2)² = 8² = 64

The equation becomes x²+16x+64 = 3+64

Then you can factorize the equation and simplify the right hand side

Learn more about perfect squares on https://brainly.com/question/385286

#SPJ1

Answer:

C

Step-by-step explanation:

1*18 2*9 3*6

Answer:

543

Step-by-step explanation:

i am smart

Answer:

The second one

Step-by-step explanation:

Answer:

798

Step-by-step explanation:

first you do 40x20=800 then 800-6=794 then 794+4=798

Answer:

A≈113.1

Step-by-step explanation:

A=πr2

A=π·62

A≈113.09734

Answer:

B, C, & E

Step-by-step explanation:

Answer:

119

Step-by-step explanation:

common different: 7-3=4

initial value =3

so x-3=(n-1)d

only 119-3=116 is divisible by 4

It's the ans cuz n-1 has to be integer

Answer: This is the graph for -x -2y=4