What is the sum of the two polynomials?
x² - 4x +5
+3x²+x-2
O 4x4 - 3x² +3
O 4x²-3x +3
O 4x²-3x+7
O 3x²-3x+7
O 3x²-3x +3

Answer:7/8, 8/9, 9/10, 10/11, etc.

Answer:

it's easy if you set your mind to it, think about it angain

Step-by-step explanation:

the constant k of proportionality is defined by

y = kx

or in our case

b = ka

so, let's see

14 = k×2

k = 14/2 = 7

this also works for the other data pairs :

7×5 = 35

7×9 = 63

7 × 1/3 = 7/3

perfect.

so, the constant of proportionality is 7.

What number is 15% of 43?

43% of 300 is what number?

12% of what number is 43?

43 is what percent of 106?

What percent of 43 is 6?

The base as used in the question refers to the main number that is a=to say the number on which other calculation are focused on.

Percent is a term used in mathematics to refer to a fraction with a denominator of one hundred. Numbers in percent is accompanied with the percent symbol which is %. Any number having that symbol means that the number is a fraction with a denominator of one hundred.

The term amount as used refers to the result gotten when some mathematical operation is being done on the base.

The calculations to the questions asked are below:

What number is 15% of 43?

= 15/100 x 43

= 6.45

43% of 300 is what number?

= 43/100 x 300

= 129

12% of what number is 43?

= 12/100 x 43

= 5.16

43 is what percent of 106

= 43/106 * 100

= 40.56%

What percent of 43 is 6

= 6/43 x 100

= 13.95%

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Answer:

See picture below.

Step-by-step explanation:

Answer:

eueueue

Step-by-step explanation:

Answer: this equation has 5 zeroes.

Step-by-step explanation:

The number of zeroes in any number can be found by,

we have expression as

[tex]5*10^{5}[/tex]

now ;

10*10 has 2 zeroes;

10*10*10 has 3 zeroes;

similarly ;

this equation has 5 zeroes.

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Answer:

none

Step-by-step explanation:     105×5=525

Answer:

8370/ 62: 135

62/8370: 0.007

Step-by-step explanation:

The cost to carpet this room area is $2764.8.

What is the area?

Area of room = 32*24 (product is equal to the area of carpet)

Cost of carpet per square foot = $3.6 (three. six)

Cost of carpet = Area of carpet * Cost of carpet per square foot (product)

 = 32 x 24 x 3.6

 = 2764.8

The cost to carpet this room area is $2764.8.

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Answer:

it is negative 12

Step-by-step explanation:

-12

Answer:

-12

Step-by-step explanation:

Answer: 18.25

Step-by-step explanation:

5.5*4=22

401.5/22=18.25

Answer:

$18.25

Step-by-step explanation:

Since area is given as A=LW, and we are given the values of the dimensions of the floor, we get:

5.5×4=22

So, the area is 22 yards, and it costs $401.5 to carpet it. Now, We simply need to divide the cost by the area to get the "cost per-square yard" as needed in the question. We get:

401÷22=18.25

So, the cost of the carpet per square yard is $18.25

The value of the expression 2x - 17 is 3

The expression is given as

-3x + 6 = -24

Subtract 6 from both sides

-3x = -30

Divide both sides by -3

x = 10

Multiply by 2

2x = 20

Subtract 17 from the sides

2x - 17 = 3

Hence, the value of the expression 2x - 17 is 3

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Step-by-step explanation:

parallel means it has the same slope.

the slope of a line is always the factor of x (5 in our case).

so, we have already

y = 5x + ?

we resolve the "?" by using the point coordinates as x and y and solve :

1 = 5×-2 + ?

1 = -10 + ?

? = 11

so, the equation is

y = 5x + 11

Answer:

[tex]8^{20}[/tex]

Step-by-step explanation:

using the rule of exponents

[tex](a^m)^{n}[/tex] = [tex]a^{mn}[/tex] , then

[tex](8^5)^{4}[/tex] = [tex]8^{5(4)}[/tex] = [tex]8^{20}[/tex]

a) The greatest common factor is 3. And the result is 3 × (6 + 7).

b) The greatest common factor is 7. And the result is 7 × (8 + 5).

In this question we must find the greatest common factor, that is, the maximum integer with which can be divided the two number, and take advantage of this result to simplify the sum of the same two numbers, if possible.

First, we proceed to determine the required results for each of the two cases:

18 = 2 × 3 × 3

21 = 3 × 7

Then, the greatest common factor is 3. The complete procedure is:

18 + 21 = 2 × 3 × 3 + 3 × 7 = 3 × (6 + 7)

56 = 2³ × 7

35 = 5 × 7

Then, the greatest common factor is 7. The complete procedure is:

56 + 35 = 2³ × 7 + 5 × 7 = 7 × (8 + 5)

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Answer: There are 80 people in the 6th grade

Step-by-step explanation:

Answer:

[tex]\displaystyle \mathsf $\dfrac{1}{2}$ km[/tex]

Step-by-step explanation:

If I have traveled 1/4th of the distance between two places, I still have 1 - 1/4 = 3/4th of the distance yet to cover

If the distance between the two places is d, distance left =(3/4) . d

In this case, d = 2/3 km

So distance left to cover = [tex]\dfrac{2}{3}\cdot \dfrac{3}{4}[/tex]

We can cross-cancel the 3 which appears as the denominator in the first fraction and the numerator in the second fraction

[tex]\dfrac{2}{\cancel{3}}\cdot\dfrac{{\cancel{3}}}{4}=\dfrac{2}{4}[/tex]

Dividing both numerator and denominator by 2 gives us

[tex]\dfrac{2\div2}{4\div2}=\dfrac{1}{2}[/tex]

Answer:
[tex]\displaystyle \mathsf $\dfrac{1}{2}$ km[/tex]

What is that for?

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Number of hours Aviva's work for gross earnings of $662.30 for a week with regular rate of $10.80 per hour for 35 hour week and 1.5 of regular pay for overtime is 52.6hours.

Given,

Gross earning for week=$662.30

Regular rate per hour for 35hour week=$10.80

Overtime rate=1.5×(10.80)

For 'h' number of hours

(10.80×35)+(10.80×1.5) h=$662.30

⇒378 +16.20h=662.30

⇒h=284.30/16.20

⇒h≈17.6hours

Number of hours Aviva's work=35 +17.6

                                                  =52.6hours

Therefore, number of hours Aviva's work for gross earnings of $662.30 for a week with regular rate of pay $10.80 per hour for a 35 hour week and 1.5 of regular pay for overtime is 52.6hours.

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The triangle ΔXYZ is congruent to the triangle ΔX'Y'Z'. And the intersection of ZZ' and AB form a right angle.

A point, line, or geometric figure can be transformed in one of four ways, each of which affects the structure and/or location of the object.

The reflection does not change the shape and size of the geometry. But flipped the image.

The triangle ΔXYZ is reflected across the line AB to get the tringle ΔX'Y'Z'.

The diagram is given below.

A reflection is a transformation that maps every point P over a line such that the line segment PP' will intersects the line of reflection at a right angle.

Thus, the triangle ΔXYZ is congruent to the triangle ΔX'Y'Z'. And the intersection of ZZ' and AB form a right angle.

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Answer: She can use 4 gigabyte while remaining in her budget.

Step-by-step explanation:

You would first subtract 54  from 70 which leaves you with 16,

Then you would divide 16 by 4 to find how many gigabytes she could use which gives you 4

So she can use 4 gigabyte while remaining in her budget.

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Answer: Answer is 3

Step-by-step explanation:

let the maximum number of gigabytes of data is x

total budget is  $70

then, flat cost is $54 and $5per gigabyte

we get:

54 +5 × x= 70

5x =70 - 54

x = [tex]\frac{16}{5}[/tex]  = 3.2 ≈ 3

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If a pipe is leaking at a rate of 8 US fluid ounces per minute, then 3.75 US liquid gallons of the fluid will leak from the pipe in an hour.

As per the question statement, a pipe is leaking at a rate of 8 US fluid ounces per minute and we are required to calculate the amount of leak that will occur at the same rate of leakage, in an hour, in the units of US liquid gallons.

To solve this question, we need to know to know about two basic mathematical conversions, i.e.,

1 US Liquid Ounce = 0.00781 US Liquid Gallons, and

1 hour = 60 minutes.

Therefore, amount of leak that will occur at the rate of 8 US fluid ounces per minute, in an hour = [tex](8 * 60)=480[/tex] US fluid ounces.

And 480 US fluid ounces = [tex](0.00781 * 480)=3.75[/tex] US Liquid Gallons.

Hence, 3.75 US Liquid Gallons of fluid will leak from the pipe in an hour.

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The maximum number of cubical boxes of side 1 feet that can be placed in a rectangular closet of length 6 feet, height 9 feet and breadth 5 feet is 270 boxes. Maximum number of boxes that can be placed along the length, height and breadth will be 168 boxes, 198 boxes and 150 boxes respectively.

Since the cube shaped boxes of length 1 feet are to be placed in the rectangular closet, the maximum number of boxes that will fit completely would be given as a comparison of volume of rectangular closet being equal to product of number of boxes and volume of 1 cubical box.

Volume of rectangular closet = Number of boxes * Volume of 1 cubical box

6 * 9 * 5 = n * (1*1*1)

Therefore, n = 270 boxes.

To calculate maximum number of boxes that will fit along the length would be calculated as product of length and breadth along 2 faces of closet and length and height along another 2 faces of closet.

Thus, [(9*6) + (9*6) + (6*5) + (6*5)] = 168 boxes along the length.

Similarly, to calculate maximum number of boxes that will fit along the height would be calculated as product of height and breadth along 2 faces of closet and length and height along another 2 faces of closet.

Thus, [(9*6) + (9*6) + (9*5) + (9*5)] = 198 boxes along the height

Similarly, to calculate maximum number of boxes that will fit along the breadth would be calculated as product of height and breadth along 2 faces of closet and length and breadth along another 2 faces of closet.

Thus, [(5*6) + (5*6) + (9*5) + (9*5)] = 150 boxes along the breadth.

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The equation is; y = 7/2x

We know that we could be able to obtain the equation by the use of the equation is a straight line. The general form of the equation of a straight line is given as y = mx +c

The first thing that we must do is to obtain the slope of the graph from;

m = y2 - y1/x2  x1

m = 45 - 15/6 - 2

m = 7/2

The graph begins at origin hence c = 0

y = 7/2x

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Answer:

D) Dilation and reflection.

→ The shape was dilated by -1.

→ This shape was then reflected upside down.

Dilating a shape is the act of making a shape smaller by a scaled amount. Dilation is useful in mathematics when you need to determine difference in shapes' scales factors.

Reflection is mirroring a shape to its opposite image. For instance, I have triangle ∠ABC', which is facing right. I then reflect this image, and it becomes triangle ∠ABC", which now faces left on the opposite axis.

Answer:

55%

Step-by-step explanation:

Ans                        

65.25 Step-by-step explanation:

Answer:

96

Step-by-step explanation:

12 colors times 2 possibilities of with or without air conditioning is 24.

24 times two possibilities of with or without automatic transmission is 48.

48 times two possibilities of with or power windows is 96.

96 times two possibilities of with or CD player is 192.