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mars1129 [50]
3 years ago
16

Which statement is true about the polynomial 5s6t2 + 6st9 – 8s6t2 – 6t7 after it has been fully simplified? It has 3 terms and a

degree of 9. It has 3 terms and a degree of 10. It has 4 terms and a degree of 9. It has 4 terms and a degree of 10.
Mathematics
1 answer:
Anton [14]3 years ago
5 0

Answer: The polynomial has 3 terms and a degree of 10.

Step-by-step explanation:

The given polynomial: 5s^6t^2 + 6st^9 - 8s^6t^2 - 6t^7

Here, two terms 5s^6t^2 and 8s^6t^2 have same power for s and t i.e. they are like terms.

Combine like terms , we get

6st^9 - 3s^6t^2 - 6t^7. i.e. there are 3 terms.

Degree of 6st^9  is 1+9=10;

Degree of - 3s^6t^2 is 6+2=8;

Degree of  - 6t^7  is 7.

Since degree of the polynomial = highest degree i.e. 10

Hence, the polynomial has 3 terms and a degree of 10.

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A store buys 7 sweaters for $42 and sells them for $182. How much profit does the store make per sweater?
defon

Answer:

$20 per sweater.

Step-by-step explanation:

It is given that,

A store buys 7 sweaters for $42 and sells them for $182.

We need to find how much profit the store make per sweater.

The amount the store bought the sweaters fr is calculated as follows :

$182- $42 = $140

Profit the store made per sweater is given by :

\dfrac{140}{7}=20

Hence, the store will make $20 per sweater.

5 0
3 years ago
Please help. will mark brainliest. What is the value of x? Show all of your work.
AveGali [126]

Answer:

9 cm

Step-by-step explanation:

\sqrt{117} ^{2} - 6^{2}  = x^{2}

81 =x^{2}

\sqrt{81} = x

9 cm = x

6 0
3 years ago
List the order from least to greatest. 88 inches, 7 1/4 feet, 2 1/2 yards
adell [148]
The way you wrote them was right
3 0
3 years ago
Two angles are supplementary. One angle can be represented by 2x, while the other by 3x-10. What is the value of 2x? Based on th
liubo4ka [24]
Supplementary angles = 180
2x +3x-10 = 180
5x -10 =180
5x -10 +10 =180+10
5x =190
5x/5 =190/5
x = 38
2x=76
3x-10= 3(38)-10=104

The measure of angles are 76 and 104
6 0
3 years ago
How many gallons of a 50​% antifreeze solution must be mixed with 80 gallons of 30​% antifreeze to get a mixture that is 40​% ​a
Bas_tet [7]
I don't know what the "six-step method" is, but I do know how to solve the problem:

Let x = number of gallons of 50% solution

amount of antifreeze in 50% solution = 0.50x
amount of antifreeze in 10% solution = 0.10(80) = 8
amount of 40% solution = 0.40(x+80) = 0.40x + 32

Then, 0.50x + 8 = 0.40x + 32

0.10x = 24

x = 240 gal
3 0
3 years ago
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