There are 36 cupcakes. 9 of them are chocolate. What percent are chocolate?

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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

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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]

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:

A = 2/4

B = 1.25

C = 11/4 , 2.75

Step-by-step explanation:

16/9

1,7777777777777 =

= 1,(7)

= (17 - 1)/9

= 16/9

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:

line: y = (1/8)x - 17/4

Step-by-step explanation:

To find perpendicular of line (negative reciprocal the given slope)

y = -8x-5

Perpendicular slope = (1/8)x

-4 = (1/8)(2) + b

-4 = 1/4 +b

Multiply everything by 4 to make it eaiser

-16 = 1 -+4b

-17 = 4b

b = -17/4

Answer:

20 m

Step-by-step explanation:

The maximum height is given by the vertex form of the equation, that is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Given

h(t) = - 5t² + 20t ← factor out - 5 from each term

      = - 5(t² - 4t)

Using the method of completing the square

add/subtract ( half the coefficient of the t- term)² to t² - 4t

h(t) = - 5(t² + 2(- 2)t + 4 - 4 )

      = - 5(t - 2)² + 20 ← in vertex form

with vertex = (2, 20 )

The maximum height is at the value of k = 20

That is the maximum height is 20 m

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:

(C) [tex]3x + 7 > 4x[/tex]

Step-by-step explanation:

Let [tex]x[/tex] represent the number that is unknown.

Using the words, we can write out each equation.

"The sum of three times a number and seven" will be adding 7 to 3x. So [tex]3x + 7[/tex].

"is greater than four times the number." will include a greater than sign and then 4 times the number, x. So:

[tex]> 4x[/tex]

Combining these, we get [tex]3x + 7 > 4x[/tex].

Hope this helped!

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Work Shown:

x = a number (something unknown)

3x = 3 times a number

3x+7 = the sum of 3 times a number and 7

4x = 4 times a number

3x+7 > 4x is the inequality that forms because the "the sum of 3 times a number and 7" portion is greater than the "4 times a number" portion

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.

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:

Answer:

speed = 43.974 miles per hour

= 43.974 mi/h

Step-by-step explanation: speed calculator

Answer:

r = 4.

Step-by-step explanation:

0.4r = 1.6

4r = 16

2r = 8

r = 4.

0.4(4) = 1.6

1.6 = 1.6

Hope this helps!

Part (a)

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Explanation:

You use the compound interest formula

A = P(1 + r/n)^(n*t)

where

After plugging those values in, you would go from A = P(1 + r/n)^(n*t) to

A = P(1 + r/n)^(n*t)

A = 5000(1 + 0.016/1)^(1*x)

A = 5000(1.016)^x

Since you're using x for the input, it's possible your teacher wants you to use y for the output. So replace A with y to get y = 5000(1.016)^x

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

Part (b)

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Explanation:

Plug x = 15 into the equation we found back in part (a). Use your calculator to simplify. Round to the nearest hundredth which is rounding to the nearest penny.

y = 5000(1.016)^x

y = 5000(1.016)^15

y = 6344.1818561953

y = 6344.18

Answer:

girlie u gotta chill

Step-by-step explanation:

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:

Step-by-step explanation:

7 quarter mile laps totals 7/4 miles, or 1 3/4 miles.

1 3/4 miles is between 1 and 2, a subset of real numbers.

Answer:

SO 18²⁴ IS GREATER

Step-by-step explanation:

24×36=864

18²⁴=1.3382588×10³⁰

HOPE IT WILL HELP ^_^

Answer:

24*26

Step-by-step explanation:

18/24ths doubled will result in a fraction while 24*26 is going to be an integer (864) much larger than 3/2= (18/24)*2

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

Answer:

All whole numbers are integers. AND All natural numbers are rational numbers.

Step-by-step explanation:

Answer:

The answer is D and E

Step-by-step explanation:

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]    

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

#SPJ2

Answer:

x^3-64y^3

Step-by-step explanation:

(x-4y)^3

(x)^3-(4y)^3

x^3-64y^3

Hope this helps ;) ❤❤❤

Answer:

first term= -42

common difference= 24

10th term= 174

Greetings from Brasil...

As said:

1° angle: X

2° angle: 2X

3° angle: 20 + 5X

"...The sum of the measures of the angles of a triangle is 180 degrees..."

(1° angle) + (2° angle) + (3° angle) = 180

X + 2X + (20 + 5X) = 180

X + 2X + 5X = 180 - 20

8X = 160

X = 160/8

X = 20

But the problem asks for the value of each angle. Thus

1° angle: X

as X = 20, so

1° angle: X = 20

2° angle: 2X

as X = 20, so

2° angle: 2.20 = 40

3° angle: 20 + 5X

as X = 20, so

3° angle: 20 + 5.20 = 20 + 100 = 120

The values of the first, second, and third angles are 20°, 40° and 120° respectively.

Let the first angle = x

Let the second angle = 2 × x = 2x

Let the third angle = 20 + (5 × x) = 20+5x

Total angles in the triangle = 180°

Based on the information above, the angles will be calculated thus:

x + 2x + 5x + 20 = 180

Collect like terms

8x = 180 - 20

8x = 160

x = 160/8

x = 20

First angle = 20°

Second angle = 2x = 2 × 20° = 40°

Third angle = 5x + 20 = (5 × 20°) + 20° = 120°

The angles are 20°, 40°, and 120°

Read related link on:

https://brainly.com/question/15348675

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

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:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = - 4}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{3x - 5 = 2x - 9}[/tex]

Move 2x to left hand side and change it's sign

⇒[tex] \sf{3x - 2x - 5 = - 9}[/tex]

Move 5 to right hand side and change it's sign

⇒[tex] \sf{3x - 2x = - 9 + 5}[/tex]

Collect like terms

⇒[tex] \sf{x = - 9 + 5}[/tex]

Calculate

⇒[tex] \sf{x = - 4}[/tex]

Hope I helped!

Best regards!!