Work out the values of a and b in the identity
5(7x + 8) + 3(2x + b) ≡ ax + 13

Answer:

y=4−2x/3

Step-by-step explanation:

Move all terms that don't contain y to the right side and solve.

As we know that

[tex]\sf \blue{Perimeter = 2(l + b)}[/tex]

Now,

[tex]\sf \orange{Area = l \times b}[/tex]

Area=28[tex]\bold{ m^2  }[/tex] 

Answer:

1.)  a=600

2.)b=8.5

3.)c=1

4.)d=163.500

5.)e=0.1

6.)f=20

7.)g=0.010

8.)h=-36

Step-by-step explanation:

The game is formed such that a duck is either winning duck or a non winning duck .

there is no other result for any duck present in the game .

Also choosing a duck is a fair game it is independent of any prior situation .

here we would be using a basic probability formula , that is

Probability of a result = number of items in favour of that result divide by total number of items present in the game .

Step-by-step explanation:

a^2 + b^2 = c^2

a = 6

b = x

c = 11

6^2 + b^2 = 11^2

36 + b^2 = 121

b^2 = 121 - 36

b^2 = 85

Find the square root of both sides.

b = 9.22

Answer:

Step-by-step explanation:

according to the question

[tex]step - 1 : define[/tex]

[tex] \frac{2}{5} \times 30[/tex]

[tex]step - 2 : simplify[/tex]

[tex] \frac{60}{5} [/tex]

[tex] \huge 12[/tex]

Answer:

a) The margin of error associated with a 95% confidence interval is of $4.73.

b) $26.49 to $35.95

Step-by-step explanation:

Question a:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1-0.95}{2} = 0.025[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1-\alpha[/tex].

So it is z with a pvalue of [tex]1-0.025 = 0.975[/tex], so [tex]z = 1.96[/tex]

Now, find the margin of error M as such

[tex]M = z*\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 1.96*\frac{19}{\sqrt{62}} = 4.73[/tex]

The margin of error associated with a 95% confidence interval is of $4.73.

Question b:

The lower end of the interval is the sample mean subtracted by M. So it is 31.22 - 4.73 = $26.49

The upper end of the interval is the sample mean added to M. So it is 31.22 + 4.73 = $35.95

So $26.49 to $35.95

Answer:

y = 17/7

Step-by-step explanation:

Answer:

the amount received from the credit card company is $19.16

Step-by-step explanation:

The computation of the amount received from the credit card company is shown below:

= Purchase made by the customer × received percentage

= $20 × 95.8%

= $19.16

Hence, the amount received from the credit card company is $19.16

The same is to be considered and relevant too

Answer:

x = -4

y = 4

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Answer:

a) 2/3

b) 1/9

c) 52/99

d) 2/11

e) 743/999

f) 29/111

Step-by-step explanation:

Take the recurring numbers (numbers after the decimal). If there is one recurring number place it over 9, if there are two then place them over 99, if there are three then place them over 999 etc.

Then simplify (if possible).

a) 6/9 = 2/3

b) 1/9

c) 52/99

d) 18/99=2/11

e) 743/999

f) 261/999=29/111

Answer:

The factors of given quadratic equation

  [tex]x = \frac{9}{15} and x = -2[/tex]

Step-by-step explanation:

Explanation:-

Given quadratic equation 15x² +39 x -18 =0

The factors of 270 = 30 × 9

The quadratic equation 15x² +39 x -18 =0

                                   ⇒ 15 x² +30 x-9x -18=0

                                ⇒ 15x(x+2) -9( x+2) =0

                               ⇒( 15x -9)(x+2) = 0

                      15x - 9=0    and  x+2 =0

                      15 x =9   and  x = -2

                      [tex]x = \frac{9}{15} and x = -2[/tex]

Answer:

option d 11 .......substitute 2 inplace of x

Answer:

Yes

Step-by-step explanation:

.25 hour = 1/4 hour

75 * 1/4 = 18 3/4

You travel 18 3/4km in 1/4 hr(.25 hr).

Answer:

x=3 ,y=6

Step-by-step explanation:

4x+6y=44 eqni

4x+2y=28 eqn ii

now subtract it eqn i and ii

4x+6y=44

-4x+2y=28

or, 0 +4y=24

or, 4y=24

or , y=24/4

or,y=6

putting value of y in eqn i

4x+6y=44

4x+6×6=44

4x=44-36

4x=12

x=12/4

x=3

Answer: C (x=1)

Step-by-step explanation:

f(x)=0 at points of intersection of the graph of the function with x-axis.

The graph of the function intersects x-axis at three points:

somewhere between -3 and -2;

somewhere between -1 and 0;

at x=1.

Since x=1 is the value of x from the domain, then correct choice is option C.

Step-by-step explanation:

For the base of the triangles, we just have to remove the 1m and divide the remaining measurement into two since they are symmetrical.

[tex]5m - 1m = 4m \\ \frac{4m}{2} = 2m \: each[/tex]

For the area of the rectangle:

[tex]base \times height = 1m \times 4m = 4 {m}^{2} [/tex]

For the area of each triangle:

[tex] \frac{1}{2} base \times height = \frac{1}{2} (2m)(4m) = 4m^{2} [/tex]

For the area of the trapezoid, just combine the two areas:

4m² + 4m² = 8m²

Answer:

For the base of the triangles, we just have to remove the 1m and divide the remaining measurement into two since they are symmetrical.

For the area of the rectangle:

Step-by-step explanation:

For the area of each triangle:

For the area of the trapezoid, just combine the two areas:

4m² + 4m² = 8m²

Answer:

A and B

Step-by-step explanation:

you divide 5 and 25

like this 5/25 and then multiply by 100

For B you do the same thing but is 8/40 and then you multiply by 100

Answer:

A odd # is 3.5.7 and etc such that you have odd numbers

Answer:

Step-by-step explanation:

2880° per ride doesn't make sense, because it is not a whole number.

Do you mean 2880° per ride?

r = 8 feet

circumference = 2πr = 16π feet

2880° × (16π feet)/(360°) = 128π feet ≅ 402 feet

A rider seated 8 feet from the merry-go-center round would travel 392.2 feet during the ride.

The circumference is the distance that surrounds a circle. We can measure the circumference of the earth by measuring the distance that we will have to walk all the way around the world.

Given, A merry go round rotates 2808 degrees per ride. A rider is seated 8 feet from the center.

Thus r = 8 feet

Circumference = 2πr

Circumference = 2π*8

Circumference = 16π

Distance traveled by that man = 2808* 16π/360

Distance traveled by that man = 392.22 feet

therefore, a rider seated 8 feet from the center of the merry-go travel during the ride would travel 392.2 feet.

Learn more about circumference here:

https://brainly.com/question/28757341

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Answer:

691,255(0.985)t ≤ 621,859; t ≥ 7

Step-by-step explanation:

i just did it. it was C

Answer:

Yes it is corect,

C

Step-by-step explanation:

Answer:

D. Move the decimal point in 132.9 three places to the left.

Step-by-step explanation:

Multiplication of a decimal by the nth power of 10:

We move the decimal point n places to the right.

Division of a decimal by the nth power of 10:

We move the decimal point n places to the left.

In this question:

There is a division by 1000, which is the 3rd power of 10, because [tex]10^3 = 1000[/tex]

So, we should move the decimal point three places to the left, and the correct answer is given by option D.

Answer:

i think the Hight would be 60

Step-by-step explanation:

Answer:

discrete, the class boundaries are;

16 - 25

26 - 35

36 - 45

46 - 55

56 - 65

66 = 75

continuous, the class boundaries are;

16 to less than 26

26 to less than 36

36 to less than 46

46 to less than 56

56 to less than 66

66 to less than 76

Step-by-step explanation:

Given that;

Range of the dataset = maximum value - minimum value = 74 - 16 = 58

total number of data set n = 50

Rule : [tex]2^{k}[/tex] ≥ n

substitute value of n

[tex]2^{k}[/tex] ≥ 50

k × log(2) = log( 50 )

k × 0.3010 = 1.69897

k = 1.69897 / 0.3010

k = 5.64

Hence, we have a total of 6 number of classes needed to be constructed.

so,

class width = 74 - 16 / 6 = 58 / 6 = 9.67

If the Data is discrete, the class boundaries are;

16 - 25

26 - 35

36 - 45

46 - 55

56 - 65

66 = 75

If the Data is continuous, the class boundaries are;

16 to less than 26

26 to less than 36

36 to less than 46

46 to less than 56

56 to less than 66

66 to less than 76

Answer:

to torture people

Step-by-step explanation:

but real anwser is to help children learn more about their ecosystem and to give more knowledge and learn new things

Answer:

The answers are 0 and -1

Step-by-step explanation:

Answer:

0 and -1

Step-by-step explanation: