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2 years ago

Write the fraction in simplest form. 3/9 *

Mathematics

1 answer:

Oxana [17]2 years ago

5 0

Answer:

the simplest form is ⅓...............

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3. Formulate 900 lbs of a 35% CP ration using Soybean Meal (46% CP) and Oats (12% CP). How many pounds of soybean meal will be u

Anarel [89]

Answer:

The amount of Soyabean = 608.82 pounds.

The amount of Oats = 900-608.82 = 291.18 pounds.

Step-by-step explanation:

Given that the Soybean Meal has 46% CP and Oats has 12% CP.

The total amount of ration is 900 lbs of 35% CP.

Let x pounds of Soyabean has been used, so,

the amount of Oats = 900-x lbs.

The CP amount in 900 lbs mixture will be equal to the sum of CP amounts in x lbs Soyabean and 900-x lbs Oats, i.e

35% of 900 = 46% of x + 12% of (900-x)

$\Rightarrow \frac{35}{100}\times 900=\frac{46}{100}\times x+\frac{12}{100}\times (900-x)$

$\Rightarrow 35\times 900 = 46x + 12\times 900 - 12 x$

$\Rightarrow 34x= 900(35-12)$

$\Rightarrow x = (900\times 23)/34$

$\Rightarrow x = 608.82$ lbs.

So, the amount of Soyabean = 608.82 pounds.

The amount of Oats = 900-608.82 = 291.18 pounds.

5 0

2 years ago

If log2 5 = k, determine an expression for log32 5 in terms of k.

lukranit [14]

Answer:

$log_3_2(5)=\frac{1}{5} k$

Step-by-step explanation:

Let's start by using change of base property:

$log_b(x)=\frac{log_a(x)}{log_a(b)}$

So, for $log_2(5)$

$log_2(5)=k=\frac{log(5)}{log(2)}\hspace{10}(1)$

Now, using change of base for $log_3_2(5)$

$log_3_2(5)=\frac{log(5)}{log(32)}$

You can express $32$ as:

$2^5$

Using reduction of power property:

$log_z(x^y)=ylog_z(x)$

$log(32)=log(2^5)=5log(2)$

Therefore:

$log_3_2(5)=\frac{log(5)}{5*log(2)}=\frac{1}{5} \frac{log(5)}{log(2)}\hspace{10}(2)$

As you can see the only difference between (1) and (2) is the coefficient $\frac{1}{5}$ :

So:

$\frac{log(5)}{log(2)} =k\\$

$log_3_2(5)=\frac{1}{5} \frac{log(5)}{log(2)} =\frac{1}{5} k$

6 0

2 years ago

F(x)=x²-3 tell whether the function is quadratic or not?

Misha Larkins [42]

Answer:

state whether this function is quadratic? why or why not?

f(x) = - 3(x - 2)(x + 3)(x + 5)

7 0

2 years ago

Nine buses hold 85 people each. If 693 people buy tickets for a trip, how many seats won’t be taken?

Greeley [361]

Answer:

Step-by-step explanation:

you take 85 * 9

85 = # of seats

9 = # of buses

then you get 765

next, you take 765 - 693

765 = # of seats

693 = # people who bought tickets for a trip

finally you get 72

72 = # of empty seats

4 0

2 years ago

Roger made a table showing how he spent his time in one day. How many days

Kazeer [188]

Answer:

3 days will pass

Step-by-step explanation:

work 24×1/3=8

sleep 24×3/8=9

meals 24×1/8=3

computer 24×1/6=4

reach up to 24 with sleep

9+9+9=27

which took a little over 3 days

5 0

2 years ago

Write the fraction in simplest form. 3/9 *​

Write the fraction in simplest form. 3/9 *