how do you wirte 15 and 40 in simplest form

Answer:

see explanation

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

(x - 3)² + (y + 4)² = 36 ← is in standard form

with (h, k) = (3, - 4 ) = centre and r = [tex]\sqrt{36}[/tex] = 6

Susan interpreted the values of h and k incorrectly by using the values - 3 and 4 instead of taking the negative of them.

She also divided 36 by 2 , thus omitting the root of 36

Answer:

B. 72.5

Step-by-step explanation:

b° = 1/2(180° - 35°)

b° = 1/2 * 145°

b° = 72.5°

b = 72.5

The value of angle b will be 72.5°. Then the correct option is B.

It is the center of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.

The angle that the very same arc subtends at any point around the circle's periphery is the double of the angle that same arc subtends at the center.

The central angle is 35°. Then the angle at the periphery will be

⇒ 35 / 2

⇒ 17.5°

We know that the radius of the circle and tangent of the circle makes 90°.

Then the angle b is given as

b + 17.5 + 90 = 180

                  b = 180 – 107.5

                  b = 72.5°

Thus, the value of angle b will be 72.5°.

Then the correct option is B.

More about the circle link is given below.

https://brainly.com/question/11833983

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Answer:

first term= -42

common difference= 24

10th term= 174

Answer:

True

Step-by-step explanation:

It means the perimeter of it is 5 times the length of its side.

The answer is yes, the statement is TRUE.

Answer: lived 48 years

              reigned for 15 years

Step-by-step explanation:

Let x represent the number of years he reigned.

Let y represent Alexander's age.

Use the given information to create a system of equations:

Equation 1:      x + 9 = (1/2)y

Equation 2:     x - 9 = (1/8)y

Multiply the second equation by -1 and add the equations to eliminate x:

 [tex].\quad x+9=\dfrac{1}{2}y\\\\\underline{-x+9}=\underline{-\dfrac{1}{8}}y\\\\.\qquad 18=\dfrac{3}{8}y\\\\.\qquad 48=y[/tex]  

Input y = 48 into either equation to solve for x:

[tex].\quad x+9=\dfrac{1}{2}(48)\\\\.\quad x+9 = 24\\\\.\qquad x = 15[/tex]    

18 + 22 = 40 total kids.

22 are boys

Probability the letter is with a boy would be 22/40 = 11/20

do you want me to make you a box and whisker plot if so then here

Answer:

Option (C)

Step-by-step explanation:

           Statements                                 Reasons

1). EG = FH                               1). Given information

2). EG = EF + FG                      2). Segment addition postulate

3). FH = FG + GH                      3). Segment addition postulate

4). EF + FG = FG + GH             4). Definition of congruent segments

5). EF = GH                               5). Subtraction property of equality

Therefore, reasons given in Option (C) will be the answer.

Answer:

y = -3x + 1

Step-by-step explanation:

slope = -3

y = mx + b

7 = -3(-2) + b

7 = 6 + b

1 = b

y = -3x + 1

========================================

Work Shown:

LK = 65

LR = 52

RK = LK - LR = 65 - 52 = 13

The triangles are similar, so the corresponding sides form equal ratios

LK corresponds to RK as they are both on the same side

LK/RK is one ratio and it is equal to MK/SK

----------------

LK/RK = MK/SK

65/13 = 60/x

65x = 13*60 ... cross multiply

65x = 780

x = 780/65 ... divide both sides by 65

x = 12

SK = 12

Answer:

12

Step-by-step explanation:

RK = 65- 52= 13

similar triangle (∆RKS and ∆LKM)

[tex] \frac{13}{65} = \frac{x}{60} [/tex]

[tex]x = \frac{60 \times 13}{65} [/tex]

[tex]x = 12[/tex]

Answer:

A = 2/4

B = 1.25

C = 11/4 , 2.75

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex] \sf{16 - x = 3}[/tex]

Move constant to right hand side and change it's sign

⇒[tex] \sf{ - x = 3 - 16}[/tex]

Calculate

⇒[tex] \sf{ - x = - 13}[/tex]

Change the signs of both sides of the equation

⇒[tex] \sf{x = 13}[/tex]

Hope I helped!

Best regards!!

Answer: 13

Step-by-step explanation:

   16-x=3

16-x-3=3-3 ⇔ subtraction property of equality

   13-x=0

13-x-13=0-13 ⇔ subtraction property of equality

       -x=-13

        x=13

-----------------------------------

Easier way if you know how to do equation

16-x=3

   -x=-13 (skip all the subtracting parts)

    x=13

Hope this helps!! :)

Answe:

27

Step-by-step explanation:

Let total children =x

when x divide by 6 we got 3

and when divide by 8 we also got 3

since x divided by both 6 and 8 got 3, we can use LCM to find the number to children in the club exclude the 3 player. you will get 24 and by adding 3 the total players that you will get is 27

Correct question:

The LCM of two numbers is 9 times their HCF .The sum of LCM and HCF is 500 . Find the HCF​  of two numbers.​

Answer:

The HCF of two numbers is 50.

Step-by-step explanation:

let the H.C.F of the two numbers = x

let the L.C.M of the two numbers = y

y = 9x -------equation (1)

y + x = 500 -------- equation (2)

y = 500 - x

Substitute in the value of y in equation (1)

500 - x = 9x

500 = 9x + x

500 = 10x

x = 500 / 10

x = 50

Therefore, the HCF of two numbers is 50.

Answer:

50

Step-by-step explanation:

There are 2 prime factors that are different and 2 numbers that we look for that are identical when looking for prime factors.

So  for numbers that don't end in 0 like 500 we can start with 3 to get 27 as one of the two numbers, then we look to see if 27 divides into that.

But for 500 it will always be numbers that end in  0 or 5  and also 1,  2 and 4

So we work with 9+1 = 10

x = 10

500/10 = 50

Answer:

x₁ = 0.6

x₂ = 1.07

Step-by-step explanation:

36x² + 23 = 60x

36x² - 60x + 23 = 0

x = {-(-60)±√((-60²)-(4*36*23))} / (2*36)

x = {60±√(3600-3312)} / 72

x = {60±√288) / 72

x = {60±16.97) / 72

x₁ = {60-16.97} / 72 = 43.03/72 = 0.6   aprox.

x₂ = {60+16.97} / 72 = 76.97/72 = 1.07    aprox.

verify:

x₁

36*0.6² + 23 = 60*0.6

36*0.36 + 23 = 36

13 + 23 = 36

x₂

36*1.07² + 23 = 60*1.07

36*1.145 + 23 = 64.2

41.2 + 23 = 64.2

Answer: Hi!

GEMDAS is the guideline that you would use to solve a algebraic expression. It tells you the order of which things you should solve or simplify first.

G. Groupings. (There is a similar expression called PEMDAS that is a bit easier to understand, where  the P stands for parentheses, brackets, etc.)

E. Exponents.

MD. Multiplication and Division, right to left.

AS. Addition and Subtraction, right to left.

Hope this helps!

Answer:

h=4 and k=-4....

Step-by-step explanation:

hopevit helps you

Step-by-step explanation:

[tex]A^2= \begin{bmatrix} 4 & 0 \\ 4 & 4 \end{bmatrix}[/tex]

Equate this to $hA + kI$

Thus,

[tex] A^2= h \begin{bmatrix} 2 & 0 \\ 1 & 2 \end{bmatrix} + k \begin{bmatrix} 1 & 0 \\ 0 & 1 \end{bmatrix}[/tex]

Hence we have the following equations (by equating corresponding terms on both sides):

$2h+k=4$

$h=4$

Solve these to get $h=4$ and $k=-4$

Answer:

Step-by-step explanation:

The answer is 3 /8/33.

step by step explanation

First, we can write:

x

=

3

.

¯¯¯¯

24

Next, we can multiply each side by

100

giving:

100

x

=

324

.

¯¯¯¯

24

Then we can subtract each side of the first equation from each side of the second equation giving:

100

x

−

x

=

324

.

¯¯¯¯

24

−

3

.

¯¯¯¯

24

We can now solve for

x

as follows:

100

x

−

1

x

=

(

324

+

0

.

¯¯¯¯

24

)

−

(

3

+

0

.

¯¯¯¯

24

)

(

100

−

1

)

x

=

324

+

0

.

¯¯¯¯

24

−

3

−

0

.

¯¯¯¯

24

99

x

=

(

324

−

3

)

+

(

0

.

¯¯¯¯

24

−

0

.

¯¯¯¯

24

)

99

x

=

321

+

0

99

x

=

321

99

x

99

=

321

99

99

x

99

=

3

×

107

3

×

33

x

=

3

×

107

3

×

33

x

=

107

33

Now, we can convert this improper fraction to a mixed number:

x

=

107

33

=

99

+

8

33

=

99

33

+

8

33

=

3

+

8

33

=

3

8

33

3

.

¯¯¯¯

24

=

3

8

33

This question was not written properly.

Complete Question

Solve for b.

2/3b + 5 = 20 - b

Answer:

b = 9

Step-by-step explanation:

We are given the algebraic expression

2/3b + 5 = 20 - b

Step 1

Collect like terms

2/3b + b = 20 - 5

Step 2

Solve for the left hand side of the equation

2/3b + b = 15

(5/3)b = 15

Step 3

Cross multiply

5b = 15 × 3

Step 4

Divide both sides by 5

5b/5 = 45/5

b = 9

Answer: b=9

Step-by-step explanation:bc khan +]

Answer:

The answer is: Integers, Rational numbers, and Real numbers.

Step-by-step explanation:

Following are the description of the numbers:

That's why, the choice is "C, E, and F" which are Real numbers, Integers, and Rational numbers are correct.

Learn more:

Numbers: brainly.com/question/3589540

Answer:

1.5 x 10^7

Step-by-step explanation:

move 7 times to the right to check answer 1.5000000

1.5 x [tex]10^{7}[/tex] is written in scientific notation.

Scientific notation is a manner of writing very huge or very small numbers. a range of is written in scientific notation whilst a variety of between 1 and 10 is extended with the aid of a strength of 10. As an example, 650,000,000 can be written in clinical notation as 6.5 ✕ 10^8. Created by means of Sal Khan and the CK-12 Foundation.

The color of mild a star emits is associated with its temperature. This means we will determine the effective temperature of the solar by using measuring the amount of mild it emits at each wavelength and evaluating the ensuing spectrum we see in models.

Learn more about scientific notation here: https://brainly.com/question/27862246

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Answer:

Answer:

speed = 43.974 miles per hour

= 43.974 mi/h

Step-by-step explanation: speed calculator

Answer:

Step-by-step explanation:

41. The product of 0.25 and 0.4 is 0.100, with three decimal places. Trailing zeros are usually dropped--except when they are used to indicate significant digits in a calculation. Hence, the usual presentation of the result is ...

  0.25 × 0.4 = 0.1

__

42. To find total beats, multiply beats per second by seconds.

  (52 beats/second)(35.5 seconds) = (52)(35.5) beats = 1846 beats

The hummingbird's wings will beat 1846 times in 35.5 seconds.

__

43. To find total sales for the week, multiply the price of a tin of popcorn by the number sold in the week (42).

Answer:

41) 0.25 × 0.4 = 0.1

It has only one decimal place in the product because 0.25 has two significant figures and 0.4 has one significant figure. When multiplying, the product will always match with the number that has the least amount of significant figures. Since 0.4 has one significant figure, the product, 0.1, will also have one significant figure.

42) 35.5 s × 52 times/s = 1,846 times

43) 42 tins × $9.25/tin = $388.50

Hope that helps.

Answer:

Step-by-step explanation:

Given  P(0,-3), Q(7,0), to get PQ, we will use the formula fr calculating the distance between two points expressed as;

PQ = √(x₂-x₁)²+(y₂-y₁)²

From the given coordinates, x₁ = 0, y₁ = -3, x₂ = 7, y₂ = 0

PQ = √(7-0)²+(0-(-3))²

PQ = √7²+3²

PQ = √49+9

PQ = √58

Let the coordinte of the midpoint be (X, Y)

X = x₁+x₂/2 and Y = y₁+y₂/2

Substituting the given coordinates will give;

X = 0+7/2

X = 7/2

X = 3.5

Y = -3+0/2

Y = -3/2

Y = -1.5

Hence, the coordinates of the midpoint of PQ is (3.5, -1.5)

Answer:

52.38%

Step-by-step explanation:

Given that,

Total number of students in the class is 42

Out of 42, 10 like hamburgers, 22 like pizza, 8 like french fries, and 2 like salad.

We need to find the percentage of the class chose pizza. There are 22 student who like to have pizza. Required percentage is given by :

[tex]P=\dfrac{22}{42}\times 100\\\\P=52.38\%[/tex]

So, 52.38% of students chose pizza.

Answer:

(c) (x+3)(x+4)=5

Step-by-step explanation:

It's in factored form, and you would use the method of finding the perfect square to get the equation set to zero and find the solutions.

16/9

1,7777777777777 =

= 1,(7)

= (17 - 1)/9

= 16/9