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4 years ago

13

Hannah has 8 over 9 of a pound of birdseed. She put 2 over 3 of a pound of birdseed into her bird feeders. How much birdseed doe

s Hannah have remaining?

1 answer:

Mice21 [21]4 years ago

6 0

8/9 - 2/3 = 8/9 - 6/9 = 2/9 of a pound left

She had 8/9 of a pound of birdseed to begin with. She used 2/3 of a pound of birdseed into her feeders. You have to get a common denominator, would be 9 and when you subtract what she used from what she had you get 2/9 of a pound of birdseed left.

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Use the following image to assist in your answer.<br> a =<br> - 6<br> - 9<br> - 4

vfiekz [6]

Step-by-step explanation:

Pythagoras' theorem for the smallest one :

$c^2 = 4^2 + 6^2$

$c^2 = 16 + 36$

$c^{2}$ = 52

Pythagoras' theorem for the middle one :

$b^{2}$ = $6^{2}$ + $a^{2}$

Pythagoras' theorem for the biggest one :

$(4+a)^2 = c^2 + b^2$

$16 + 8a + a^2 = 52 + b^2$

Using the formula before (for $b^2$ ) it becomes :

$16 + 8a + a^2 = 52 + (6^2 + a^2)$

$16 + 8a + a^2 = 52 + 6^2 + a^2$

$16 + 8a = 52 + 6^2$

16 + 8a = 52 + 36

16+8a = 88

8a = 88-16

8a = 72

$a = \frac{72}{8}$

a = 9

Verifying :

$b^2 = 6^2 + a^2$

$b^2 = 36 + 81$

$b^2 = 117$

$b^{2}$ = 117

The biggest one :

$(4+a)^2 = c^2 + b^2$

$(4+9)^2 = 52 + 117$

$13^2 = 169$

True

8 0

3 years ago

A truck driver drove 300 miles in 6 3/4 hours. How many miles per hour did the driver drive?

Andru [333]

44.4 miles per hour. You just divide 300 and 6.75 (Think as the 3/4 as quarters each 1 is .25) then you will get 44.4. To check your answer you would multiply 44.4 and 6.75 and get 299.7. This is not 300 but when you round that .7 to the nearest 10 you will get 300. Hope this helped.<span />

3 0

3 years ago

Read 2 more answers

What is 36% of 745? Show work

kogti [31]

745/x=100/36
<span>(745/x)*x=(100/36)*x
</span><span>745=2.7777777777778*x
</span>(2.7777777777778) to get x
<span>745/2.7777777777778=x </span>
<span>268.2=x </span>
<span>x=268.2
</span>
answer <span>36% of 745=268.2</span>

8 0

3 years ago

a beekeeper estimates that his bee population will triple each year. Currently he has 150 bees. Write a function to represent th

Soloha48 [4]

Answer:

Exponential functions!

Step-by-step explanation:

I think what you are dealing with is an exponential function!

So, to solve this, we need to first understand the main form of an exponential function:

$f(x)=a*b^{x}$

Where a is the number we start off with, and b is the constant thing(forgot what it was called).

Now, 150 is our starting number, so it is a, and b is our constant at which the initial term is multiplied, which is 3!

Also, defining variables:

Let f(x)= # of Bees

Let x= # of years

Thus, here is our equation:

$f(x)=150*3^{x}$

So, that's it!

Now, some of my answers have been recently deleted because they violated community guidelines for recommending something that shall not be named, so if you do really need help on the subject, look online! It is the largest source of information humanity has created! (also I cannot explain Exponential Functions in a single paragraph)

Stay Safe!

4 0

3 years ago

Which expression is equivalent to the measure of angle 4 in the image below?

erma4kov [3.2K]

Answer:

2 would be ur answer

Step-by-step explanation:

sry i have to put more then 20 chrarcters

5 0

3 years ago

Read 2 more answers