Megan and Julie are stuck simplifying radical expressions. Megan has to simplify the quantity of x to the one third power, over x to the one twelfth power. Julie has to simplify the thirty second root of the quantity of x times x to the second times x to the fifth. Using full sentences, describe how to fully simplify Megan and Julie's expressions. Describe if Megan and Julie started with equivalent expressions or if they started with expressions that are not equal.

Answers

Answer 1

Answer: x to the one-third divided by x to the one-twelfth is equal to x to the power of:

1/3-1/12

1/3-1/12

3/12

1/4

Therefore, this is the fourth root of x.

Julie is finding x to the (1+2+5)/32, or x to the 8/32 power. This simplifies to x^(1/4), which is also the fourth root of x. Megan and Julie have started with equal expressions.

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Increase £64 by 70%??????

Answers

I'm not sure if you used the euro sign accidentally or what but this is how to increase 64 by 70%

divide 64 by 10.
6.40
then multiply it by 7.
44.80
then add 44.8 to your original number. (64)
the answer is:
108.8

If you did put that sign there purposely and if it means something then I don't know if it matters or if this is right.

The side length of an equilateral triangle is 6 cm. What is the height of the triangle?

Answers

the way m comfortable solving this is using pythagorean therem.

the imaginery hight line you draw in the middle of the triangle should split the 6cm base in half to 3cm and the outside of the tryangle is 6cm.
pythagorian theorem formula states:
c^2 =a^2 +b^2

c=6cm
b = 3cm
a=?
6^2 =3^2+a^2
36=9+a^2
36-9=a^2
a^2 =27

square root 27 to find a
=5

The answer is 5 cm.
Hope this helps!! xx

A student has earned the following scores on four 100-point tests this marking period: 63, 72, 88, and 91. What score must the student earn on the ﬁfth and ﬁnal 100-point test of the marking period to earn an averagetest grade of 80 for the ﬁve tests?

Answers

In order to have average 80 score from 5 tests, student needs to have 400 points (80%*500=0.8*500=400)
So far he has 63+72+88+91= 314
400-314=86

He needs to get 86 points from the last test.
Since he is obviously getting better at tests, i think he'll manage :)

What is the graph of the equation? y=-2

Answers

Your answer would look like this

The answer is D because it is a horozontal line crossing the Y-axis at the point (0,-2)

Mallory has three dollars in her wallet if this is 10% of her monthly allowance what is her monthly allowance

Answers

Answer:

$30.

Step-by-step explanation:

Definition:

Allowance: A regular sum of money that is given by a parent or guardian to a child in each month.

Solution:

We can use the following formula to find the total amount of Mallory's monthly allowance:

$\sf \textsf{ Percentage of allowance saved} * \textsf{ Total allowance = Amount saved}$

In this case, we know that Mallory has saved $3, which is 10% of her monthly allowance.

Plugging these values into the formula, we get:

$\sf 10\% * \textsf{ Amount saved} = 3$

$\sf 0.10 * \textsf{ Amount saved} = 3$

Divide both sides by 0.10.

$\sf \textsf{ Amount saved} = (3)/(0.10)$

$\sf \textsf{ Amount saved} = 30$

Therefore, Mallory's monthly allowance is $30.

Jerome takes a math course and a science course for summer school. For every 5 hours Jerome spends studying math, he studies science for 4 hours. If Jerome spent a total of 54 hours studying last week, then how long did he study math?