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tynya is training a turtle for a turtle race for every 2/3 of an hour that the turtle is crawling he can travel 2/23 of a mile a

Len [333]

Answer:

3/23 miles per hour

Step-by-step explanation:

2 /23 mile

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

2/3 hour

2/ 23 ÷ 2/3

Copy dot flip

2 /23 * 3/2

Rewriting

2/2 * 3/23

3/23 miles per hour

7 0

3 years ago

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A camera shop stocks eight different types of batteries, one of which is type A76. Assume there are at least 31 batteries of eac

Sauron [17]

Answer: 12,620,256

Step-by-step explanation:

Given: The camera shop socks eight different types of batteries and there re at least 31 batteries of each type.

Here we want to select r= 31 batteries from n= 8 kinds of batteries, then formula we use to find number of ways is $^{n+r-1}C_r=\ ^{31+8-1}C_{31}$

$=^{38}C_{31}=\dfrac{38!}{31!(38-31)!}\\\\=\dfrac{38!}{31!7!}\\\\=\dfrac{38\times37\times36\times35\times34\times33\times32\times31!}{31!\times5040}\\\\=12620256$

Hence, the number of ways can a total inventory of 31 batteries be distributed among the eight different types = 12,620,256

3 0

3 years ago

I need someone to answer this immediately please. ... The area of a piece of land is 50cm square. Fi d the value of x, if the le

iren [92.7K]

Answer:

x=8

Step-by-step explanation:

Area is equal to

A = l * w

50 = ( x+2) ( x-3)

FOIL

50 = x^2 -3x+2x -6

Combine like terms

50 = x^2 -x -6

Subtract 50 from each side

0 = x^2 -x -56

Factor

What two numbers multiply to -56 and add to -1

-8*7 = -56

-8+7 = -1

0 = ( x-8) ( x+7)

Using the zero product property

x-8 =0 x+7 =0

x = 8 x=-7

Since the length cannot be negative x cannot be negative

x=8

8 0

4 years ago

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Rewrite 72.3 + (-39.1) by breaking up each of the place values. In this case, the place values are tens, ones, and tenths.

777dan777 [17]

72.3 - 39.1 = 4 tens - 7 ones - 2 tens is the correct order after rewriting.

Given the formula 72.3 + (-39.1)

removing the parentheses:

= 72.3 + (-39.1) (-39.1)

= 72.3 - 39.1

converting decimal numbers to place values

72.3 = 7tens plus 2units plus 3tenths

72.3 = 7(10) (10)

+2(1)+3(1/10)

72.3 =70+2+0.3

Similarly, 39.1

39.1 = 3tens plus 9units plus 1tenth

39.1 = 3(10)+9(1)+1(1/10)

39.1 =30+9+0.1

72.3 - 39.1 = 70+2+0.3 - (30+9+0.1)

72.3 - 39.1 = 70+2+0.3 - 30-9-0.1

72.3 - 39.1 = 70-30+2-9+0.3-0.1

72.3 - 39.1 = 40 - 7 +0.2

Hence after rewriting we get 72.3 - 39.1 = 4 tens - 7 ones - 2 tens

Learn more about mathematical expressions at

brainly.com/question/17178740

#SPJ1

3 0

1 year ago

The foci and the vertices of the hyperbola are labeled.<br> Which equation represents the hyperbola?

coldgirl [10]

Answer:

Correct option: first one -> (x+2)^2/64 - (y+4)^2/36 = 1

Step-by-step explanation:

The equation of the horizontal major axis hyperbola is:

(x-h)^2/a^2 - (y-k)^2/b^2 = 1

The center is located at (h,k), the vertices are (h+a,k) and (h-a,k) and the focuses are (h+c, k) and (h-c, k)

In this case, the vertices are (-10,-4) and (6,-4), so we have k = -4.

To find h and a, we have:

h+a = 6

h-a = -10

summing both equations, we have:

2h = -4

h = -2

and then for 'a':

-2+a = 6

a = 8

The focus it two units away from the vertix, so c = a + 2, then c = 10

To find b, we can use the relation c^2 = a^2 +b^2:

10^2 = 8^2 + b^2

b^2 = 100 - 64 = 36

b = 6

So the equation of the hyperbola is:

(x+2)^2/64 - (y+4)^2/36 = 1

Correct option: first one

8 0

3 years ago

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