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Paladinen [302]
3 years ago
6

If the quantity 4 times x times y cubed plus 8 times x squared times y to the fifth power all over 2 times x times y squared is

completely simplified to 2xayb + 4xcyd, where a, b, c, and d represent integer exponents, what is the value of a? _______
Mathematics
1 answer:
VladimirAG [237]3 years ago
7 0
(4xy^3+8x^2y^5)/(2xy^2)  Since 2xy^2 is a common factor we have

2y+4xy^3

2y=2x^ay^b

x^0=x^a

a=0
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A pair of shoes usually sells for $69. If the shoes are 30% off, and sales tax is 8%, what is the total price of the shoes, incl
hodyreva [135]

Answer:

52.16

Step-by-step explanation:

So, Lets find out the discount first. Since the shoes are 30% off, that means the shoes are 70% of their original price, so lets multiply the original price of 69 by .7. 69*.7=48.3

Now to find the sales tax we need to multiply the price we got finding the sale by 1.08 since the sales tax is added on not removed from the price. 48.3*1.08=52.16

The prices after the sale and including tax is 52.16

6 0
3 years ago
Please Help.<br> Match the reasons to the statements given.
marishachu [46]

Answer:

1. Given

2. Diagonals of a parallelogram bisect each other.

3. Vertical angles are equal.

4. Definition of parallelogram.

5. If lines parallel, then alternate interior angles are equal.

6. ASA

7. CPCTE

Step-by-step explanation:

Statement 1:

The first statement is a parallelogram ABCD, which is already given in the question. So, reason 1 is: Given.

Statement 2:

BT and TD are equal because for a parallelogram, its diagonal bisect each other. Here, BD and AC are the diagonals of parallelogram ABCD. So, the diagonals bisect each other at T. Hence, BT = TD

Statement 3:

Angles 1 and 2 is a pair of vertical angles. A pair of vertical angles are always equal to each other.

Statement 4:

A parallelogram is a quadrilateral whose opposite sides are parallel and equal. Hence, BC ||AD is because of the definition of a parallelogram.

Statement 5:

Angles 3 and 4 is a pair of alternate interior angles. If two lines are parallel, then the alternate interior angles are always equal.

Statement 6:

The triangles BET and DFT are now congruent because:

i.Angle- \angle1=\angle2

ii. Side - BT = TD

iii. Angle - \angle3=\angle4

Therefore, by ASA postulate the two triangles are congruent.

Statement 7:

As the two triangles are congruent, then their corresponding parts are also equal.

So, by CPCTE, ET=FT

5 0
3 years ago
Model 3 + (-4) on the number line
klemol [59]

So all your doing is going 3 jumps to the positive side and 4 jumps to the negative side.

4 0
3 years ago
What is the slope of line a?<br> A. -1/4<br> B. -4<br> C. 4<br> D. 1/4
Len [333]

Answer:

A. -1/4

Step-by-step explanation:

The line is going down making the slope negative and doing rise over run the slope is -1/4.

\frac{1- 0}{0-4}= 1/-4 = -1/4

6 0
3 years ago
Read 2 more answers
For any nonzero real number a, the __________ of a is 1/a .
SIZIF [17.4K]

A non zero real number could be written as a/1.

When this gets reversed to be 1/a, it is the multiplicative inverse.

4 0
3 years ago
Read 2 more answers
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