Answer: 37.92
Step-by-step explanation: We know that 3202 / 5 = 640.4.
We subtract that by 830 to get (830 - 640.4 =) 189.6. Then we do / by five again to get 37.92. That is the answer.
Answer:
18 pencils in 3 packs.
Step-by-step explanation:
Assuming that each pack will have the same amount of pencils. It is given that there are 36 pencils in all when one has 6 packs. Find the amount in each pack by dividing (total amount of pencils)/(amount of packs) = Amount of pencils per pack:
36/6 = 6
There are 6 pencils in each pack.
Now, Elsa wants to know how much pencils are in 3 packs. Multiply the amount of packs with the amount of pencils in each pack:
Total amount of pencils = amount of packs (3) x amount of pencils per pack (6)
= 3 x 6
= 18
There are 18 pencils in 3 packs.
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<u>Given</u>:
The measure of arc AB is (4y + 6)°
The measure of arc BC is (20y - 11)°
The measure of arc AC is (7y - 7)°
We need to determine the measure of arc ABC.
<u>Value of y:</u>
The value of y is given by

Substituting the values, we get;

Adding the like terms, we have;

Adding both sides of the equation by 12, we have;


Thus, the value of y is 12.
<u>Measure of arc ABC:</u>
The measure of arc ABC can be determined by adding the measure of arc AB and arc BC.
Thus, we have;



Substituting y = 12, we get;



Thus, the measure of arc ABC is 283°
Answer : The expression which is equivalent to
is
.
Step-by-step explanation :
The given expression is:
![\sqrt[4]{9}^{\frac{1}{2}x}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B9%7D%5E%7B%5Cfrac%7B1%7D%7B2%7Dx%7D)
As we know that:
![\sqrt[4]{x} =x^{\frac{1}{4}}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7Bx%7D%20%3Dx%5E%7B%5Cfrac%7B1%7D%7B4%7D%7D)
So, by solving the above expression, we get:

By multiplying the power of 9, we get the following expression.

Hence, the expression which is equivalent to
is
.