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Zarrin [17]
3 years ago
13

Find the total cost if a pair of shoes cost $49.95 and the tax is 5.5%

Mathematics
1 answer:
serious [3.7K]3 years ago
7 0

Answer:

52.70

Step-by-step explanation:

49.95x.055=2.75 tax

49.95+2.75=52.70 total costs

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For the polynomial 6xy2 – 5x2y? + 9x2 to be a trinomial with a degree of 3 after it has been fully simplified, the missing expon
Karolina [17]

Consider the polynomial 6xy^2-5x^2y^?+9x^2.

For this polynomial to be trinomial with a degree of 3. We have to identify the missing exponent of the 'y' term.

Let the missing exponent of the 'y' term be 0

So, the polynomial will be 6xy^2-5x^2y^0+9x^2

= 6xy^2-5x^2+9x^2

= 6xy^2+4x^2 which is not a trinomial, which is a binomial.

So, the missing exponent of 'y' can'not be zero.

Let the missing exponent of the 'y' term be 2

So, the polynomial will be 6xy^2-5x^2y^2+9x^2

= 6xy^2-5x^2y^2+9x^2

= 6xy^2-5x^2y^2+9x^2 which is a trinomial of degree 4.

So, the missing exponent of 'y' can'not be '2'.

If we will take the missing exponent of 'y' more than 2, than the degree of the given polynomial will not be 3 anymore.

Let the missing exponent of the 'y' term be 1

So, the polynomial will be 6xy^2-5x^2y^1+9x^2

= 6xy^2-5x^2y+9x^2

= 6xy^2+4x^2 which is a trinomial of degree 3

So, the missing exponent of 'y' is 1.

7 0
3 years ago
Read 2 more answers
Find the distance between the points (-21, 17) and (33, 17)
Norma-Jean [14]
Plug it into the distance formula.

d= (sqrt) (x2-x1)^2 +(y2-y1)^2

d= (sqrt) (17-17)^2 + (33-(-21)^2
d=(sqrt) (0)^2 + (33 +21)^2
d= (sqrt) (54)^2
d= (sqrt) 2916
d=54

The distance is 54 units. 

I hope this helps!
~kaikers
7 0
3 years ago
Please can someone help!
Rom4ik [11]

Answer:

51 mph

Step-by-step explanation:

→ The first thing we need is a formula which links speed, distance and time so,

Speed = Distance ÷ Time

Speed = mph

Distance = metres/miles

Time = hours

→ Since we want to work out the average speed of the entire journey we need to first work out the total distance and total time. Using the first sentence of the paragraph, it says that <em>the car travels at an average speed of 45 mph for 40 minutes, </em>we can rearrange the formula to work out the distance so,

Speed = Distance ÷ Time

→ Rearrange to get distance as subject

Distance = Speed × Time

→ Substitute in the values

Distance = 45 × 40

→ Remember that the time is hours but we substituted in minutes so we divide the time value by 60

40 ÷ 60 = 0.666666667

→ Substitute in the time value multiplied by the speed

Distance = 45 × 0.666666667 = 30

⇒ 30 metres/miles is overall distance for the first part of the journey

→ Now we have to work out the distance for the second part of the journey. State the distance formula.

Distance = Speed × Time

→ Substitute in the values into the distance formula

Distance = 60 × 25

→ Remember that the time is hours but we substituted in minutes so we divide the time value by 60

25 ÷ 60 = 0.416666667

→ Substitute in the time value multiplied by the speed

Distance = 60 × 0.416666667 = 25

⇒ 25 metres/miles is overall distance for the second part of the journey

→ Now we have to add the distance of both the journeys together

25 + 30 = 55

→ Then we add the times of the journey together

40 minutes + 25 minutes = 65 minutes

→ Convert 65 minutes into hours

65 ÷ 60 = 1.08333 hours

→ Substitute both values into the speed = distance ÷ time formula

Speed = 55 ÷ 1.08333 = 50.76923077

→ The question says to round it to the nearest whole number so,

50.76923077 = 51 mph

7 0
3 years ago
Help ASAP with 10&amp;11 ASAP thanksss
kari74 [83]
10 is 287.9999 m squared and 11 is 2,435.125 yards squared
6 0
3 years ago
Pls help me with this multiple choice !
s2008m [1.1K]

Answer:

B. x = 14, y = 14

Step-by-step explanation:

Look up "45 45 90 triangle" to see rules that are consistent between all triangles like this.

3 0
3 years ago
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