What is the original polynomial

Answer:

5(8a + 9)

Step-by-step explanation:

40 and 45 can both be divided by 5, so this is a common factor.

-> 40 divided by 5 is 8

       [] It has a variable, so it will be 8a

-> 45 divided by 5 is 9

Our final answer is 5(8a + 9)

-> To check we can multiply it out, 5 * 8a is 40a, 5 * 9 = 45

-> This works

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.

- Heather

Answer:

Measure of each angle is 108 and 72 degrees.

Step-by-step explanation:

Let's the angle  be "n"

Supplementary angle = 180 °

n- (180-x) = 36

n - 180 + n = 36

Combine like terms

n - 180 + n = 36

2n - 180 = 36

Add 180 to both sides of the equation

2n - 180+180 = 36+180

Simplify

2n = 216

Divide both sides of the equation by the same term

2n/2 = 216/2

Simplify

n = 108

2n = 216  

Measure of each angle

1st = 108

2nd = 180-108 = 72

[RevyBreeze]

Answer:

An angle measures 36° more than the measure of its supplementary angle. What is the measure of each angle?

Step-by-step explanation:

Let's the angle  be "n"

Supplementary angle = 180 °

n- (180-x) = 36

n - 180 + n = 36

Combine like terms

n - 180 + n = 36

2n - 180 = 36

Add 180 to both sides of the equation

2n - 180+180 = 36+180

Simplify

2n = 216

Divide both sides of the equation by the same term

2n/2 = 216/2

Simplify

n = 108

2n = 216  

Measure of each angle

1st = 108

2nd = 180-108 = 72

It took Deborah 2 hours to catch Mortimer.

To determine, if Mortimer drove at 50 mph and Deborah drove along the same route at 75 mph, how many hours did it take Deborah to catch him, the following calculation must be made:

Therefore, it took Deborah 2 hours to catch Mortimer.

Learn more about time calculation in https://brainly.com/question/26368368

Answer:

C.) 8

Step-by-step explanation:

[tex]11- (1/2)^4 x 48 = 11- 1/16 x 48= 11-3= 8[/tex]

Perimeter of a closed figure is the sum of length of its outline. The perimeter of the consider triangular pool is: [tex]12x^2 + 8x + 25[/tex] units.

Perimeter of a triangle = Sum of lengths of all its 3 sides.

For the given case, we have:

Length of first side(hypotenuse) = [tex]8x^2[/tex] units

Height = [tex]4x^2 + 15[/tex] units

Base is of length [tex]8x + 10[/tex]

Thus, its perimeter is calculated as:

Perimeter of a triangle = Sum of lengths of all its 3 sides.

Perimeter =  [tex]8x^2 + 4x^2 + 15 + 8x + 10 = (8+4)x^2 + 8x + 25 = 12x^2 + 8x + 25[/tex] units

Perimeter = [tex]12x^2 + 8x + 25[/tex] units

Thus,

The perimeter of the consider triangular pool is: [tex]12x^2 + 8x + 25[/tex] units.

Learn more about perimeter here:

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Answer:

12x2 + 8x + 25

Step-by-step explanation:

i said so

Answer:

18

Step-by-step explanation:

7, 17, 27, 37, 47, 57, 67

70, 71, 72, 73, 74, 75, 76, 77, 78, 79

Answer:

64 frogs

Step-by-step explanation:

After 7 months: 2 x 2 = 4

After 14 months: 4 x 2 = 8

After 21 months: 8 x 2 = 16

After 28 months: 16 x 2 = 32

After 35 months: 32 x 2 = 64

Step-by-step explanation:

[tex]8. log_{10}(2.15) = 0.332 \: then \: log_{10}(21500) = ..... \\ log(21500) = log(2.15 \times 10000) \\ = log(2.15) + log(10000) \\ = log_{10}(2.15) + log_{10}( {10}^{4} ) \\ = 0.332 + 4 log_{10}(10) \\ = 0.332 + 4(1) \\ log_{10}(21500) = 4.332[/tex]

9. log(2)=a, log(3)=b, then log(36)=______

log(36) = log(6*6) = log(6) + log(6)

log(36)= log(6) + log(6)

log(36) = log(3*2) + log(3*2)

log(36) = (log(3) + log(2)) + (log(3) + log(2))

log(36) = (a + b) + (b + a)

log(36) = a + b + b + a

log(36) = 2a + 2b

Answer:

4.3324384599

or you can just round it to 4.332

All the square root term are equal then they can be added. Then the length of piping is needed in all is 98√6.

It is the measure of distance between the two points is called a length. It is a scalar quantity.

A builder needs three pipes of different lengths.

The pipes are 6√96 feet long, 12√150 feet long, and 2√294 feet long.

The length of pipes can be written as

[tex]6\sqrt{96} = 6 \sqrt{2*2*2*2*2*3} = 24\sqrt6[/tex]

[tex]12\sqrt{150} = 12 \sqrt{5*5*6} = 60\sqrt6[/tex]

[tex]2\sqrt{294} = 2 \sqrt{6*7*7} = 14\sqrt6[/tex]

Since all the square root term are equal then they can be added.

[tex]24 \sqrt{6} + 60 \sqrt{6} + 14\sqrt{6}\\\\98\sqrt{6}[/tex]

Thus, the length of piping is needed in all is 98√6.

More about the lenght link is given below.

https://brainly.com/question/8552546

Answer:

98 sqrt 6

Step-by-step explanation:

Jesus told me

The number pi is a famous irrational number since we cannot represent it as a fraction of two integers. Pi is approximately equal to 3.14159. The decimal digits go on forever without any pattern.

Another irrational number would be [tex]\sqrt{2}[/tex] which is approximately equal to 1.4142; the decimal digits for this number also go on forever without any pattern.

Answer:

Its 10

Step-by-step explanation:

5 + 5 = 10

Addition can be defined as the process of adding two numbers. The sum of 5 and 5 is 10.

Addition can be defined as the process of adding two numbers such that the result is the combined value of the two numbers.

Given that we need to add 5 and 5. This can be simply understood with the help of an example. One hand has 5 fingers and as we need to add the 5 and 5 therefore, we need to add the number of fingers in the two hands which is equal to 10. therefore, we can write it as,

[tex]5 + 5 =10[/tex]

Hence, the sum of 5 and 5 is 10.

Learn more about Addition:

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#SPJ2

A. Graph is in the picture

B. slope is -6500 and they-intercept is (0, 80000)

Multiply the amount Lisa’s fruit stand sold by the amount more Daves fruit stand sold:

Daves fruit stand sold 3 times more:

3 x 1/3 box = 3/3 = 1 box

Answer: 1 box

Dave sold

[tex]\\ \tt\hookrightarrow 3(1/3)=3/3=1box[/tex]

Answer:

  3.09 miles

Step-by-step explanation:

Given one distance and two angles, we will need to use the Law of Sines. For this, we need to know the internal angles of the triangle formed by the various bearing lines.

The angle between the bearings of A and B from the transmitter will be the difference of the reverse of the given bearings.

  A from T = 39.3° +180° = 219.3°

  B from T = 313.9° -180° = 133.9°

Then the angle at T between receivers is ...

  219.3° -133.9° = 85.4°

The angle between A and T as measured at B will be ...

  313.9° -270° = 43.9°

These angles and length AB can be used with the Law of Sines to find AT:

  AT/sin(B) = AB/sin(T)

  AT = AB(sin(B)/sin(T)) = (4.44 mi)·sin(43.9°)/sin(85.4°)

  AT ≈ 3.09 mi

The distance of the transmitter from A is about 3.09 miles.

Answer:

Step-by-step explanation:

1. 43+(-56) - 78

43 - 56 - 78 = -91

2. -78 - 65 = -143

3. -19 - 4 = -23

4. -16 + 9 = -7

5. 71 + (-18)

71 - 18 = 53

Hope this helps!

Answer:

Step-by-step explanation:

43+(-56)minus 78= negative 91

43+-56= - 13    13-78= negative 91

-78 subtract 65=143 because when your in negatives it is opposite so when you subtract it is addition so what is -30 add 50=20. So what is -78 subtract 65=143

-19 subtract 4 =-23 because like I said in negatives it's opposite.

-16+9=7.

And last 71 + -18=53 because it is subtracting 18 since it is negatives.

Hope it helps :)

Answer:

x= -2

Step-by-step explanation:

11+2x = 5 - x

6 = -3x

x = -2

Answer:

number 1 is a - 2.01 = 5.5 and the answer is a=7-51

number 2 is b + 2.01 = 5.5 and the answer is b=3.49

number 3 is 10c = 13.71 and the answer is c=1.371

number 4 is 100d = 13.71 and the answer is d=0.1371

Step-by-step explanation:

Answer:

21 books

Step-by-step explanation:

Subtract $32.50 from her total savings:

$204 - $32.50 = $171.50

Divide the remaining money by the cost for each book from the sale:

$171.50 / $8.15 = 21.0429448

Round:

21 books

Step-by-step explanation:

BF is parallel to CG, DH

so here the ans is choice 1

Answer:

BF is parallel to none of the options.

Step-by-step explanation:

Answer:

1496

Step-by-step explanation:

A = lw

22 x 16 = 352 ( bedroom)

22 x 18 = 396 (living)

352 + 396 = 748

748 x 2 = 1496

hope this helps

pls mark brainliest

Answer:

<6

Step-by-step explanation: The total should be 180 and its common sense to know that measure <5 is not 105 degrees

Answer:

2/7

Step-by-step explanation:

2 ÷ 7 = 2/7 of a gallon each hour he works

Answer:

2(x^2 + 3x + 34)

Step-by-step explanation:

(6x+7+8^2) + (2x^2-3)

= 6x + 7 + 64 + 2x^2 - 3

= 2x^2 + 6x + 68

= 2(x^2 + 3x + 34)

Quadrilateral LAMB is a parallelogram because opposite sides are parallel.

A quadrilateral is a polygon with four sides and four angles. Types of quadrilaterals are square, rectangle, kite, parallelogram, rhombus and so on.

A parallelogram is a quadrilateral in which opposite sides are opposite and parallel to each other.

Quadrilateral LAMB is a parallelogram because opposite sides are parallel.

Find out more on Quadrilateral at: https://brainly.com/question/16691874

Answer:

g(x) = [tex]\frac{1}{3}(x - 1) = \frac{x}{3} - \frac{1}{3}[/tex]

Step-by-step explanation:

f(x) = 3x + 5

f[g(x)] = 3[g(x)] + 5

⇒  3[g(x)] + 5 = x + 4

⇒  3[g(x)] = x + 4 - 5

⇒  3[g(x)] = x - 1

⇒  g(x) = [tex]\frac{1}{3}(x - 1) = \frac{x}{3} - \frac{1}{3}[/tex]

Answer:

[tex]25x^6y^{10}[/tex]

Step-by-step explanation:

[tex](5xy^3)^2(xy)^4\\\\5^2*x^2*(y^3)^2*x^4*y^4\\\\25*x^{2+4}*y^{3*2}*y^4\\\\25*x^6*y^6*y^4\\\\25x^6*y^{6+4}\\\\25x^6y^{10}[/tex]

Remember to use your exponent rules

Hi!

Given:

[tex](5xy^3)^2(xy)^4[/tex]

Distribute the exponent:

[tex]5^2x^2y^6 * x^4y^4[/tex]

Multiply like terms (add the exponents to do it):

[tex]25x^6y^[/tex]^10

For more information on how to solve these types of questions, see:

https://brainly.com/question/219134

Answer:

0.625%

Step-by-step explanation:

3 3/4 = 3.75

3.75 ÷ 600 × 100 = 0.625

Answer:

x = 2 , y = -3

Step-by-step explanation:

by elimination method

+5y in equation 1 cancel -5y in equation 2

2x - 8x = -11 - 1

-6x = -12

divide both sides by - 6

- 6x/ -6 = -12/-6

x = 2

substitute x = 2 into equation ii

- 8 (2) - 5y = - 1

- 16 - 5y = - 1

collect like terms

- 5y = -1 + 16

- 5y = 15

divide both sides by -5y

-5y/-5y = 15/-5y

y = - 3

Answer:

It would take 4 minutes.

Step-by-step explanation:

Step 1: divide 63 by 3 to get how many hotdogs the champion can eat in a minute which equals 21

Step 2: Divide 84 by 21 to get 4 minutes

Answer:

Normal

Step-by-step explanation:

If your BMI is less than 18.5, it falls within the underweight range. If your BMI is 18.5 to 24.9, it falls within the normal or Healthy Weight range. If your BMI is 25.0 to 29.9, it falls within the overweight range. If your BMI is 30.0 or higher, it falls within the obese range.

Answer:

The answer is B

Step-by-step explanation:

Took The Test