Three numbers have a ratio of 2: 3: 4. Find the largest number if their sum is 36.

Answer:

Step-by-step explanation:

Given:

Let's first try to simplify ∠CAB in ΔABC. Then we can find the 'x' in ΔFDE with the help of ΔABC.

ΔABC = 108 + 48 + ∠CAB = 180°

=> 156 + ∠CAB = 180°

=> ∠CAB = 24°

=> 48 + 108 + 2x - 48 = 180°

=> 108 + 2x = 180°

=> 2x = 72°

=> x = 36°

So, after working on this problem, we can conclude that 'x = 36°' and 'y = 48°'. Hoped this helped.

Answer: x=36, y=48

Step-by-step explanation:

The sum of the angles in a triangle is 180.  From triangle ABC we see that:

108 + 48 + Z = 180, where Z is the unknown third angle.

156  + Z = 180

Z= 24 (angle CAB).

Since the triangles are similar, we can say angle EDF(y) is equal to angle CAB (48).  Thus,

y = 48

we can also say that angle CAB is the same as angle DFE:

24 = (2x-y)  

24=2x-48

72=2x

x=36

5 - 6 = -1

-1 - 9  = -10

-10 - 8 = -18

-18 - 5 = -23

-23 - 4  = -27

-27 + 5  = -22

-22 - 5 = -27

-27 -5 = -32

-32 -5  = -37

-37 - 32 = -69

Answer = -69

Answer:

£134.2 more

Step-by-step explanation:

Divide 1342 by 100

Then you get 13.42

Times that by 10 and £134.2 is 10%

There are 12 coins which are 20 cent each and 23 coins which are 50 cent each.

Let x represent the number of 20 cent ($0.2) coins

i) Since there are 35 coins in total:

Number of 50 cent coins = 35 - x

ii) The total value of the coins is $13.90. Hence:

0.2x + 0.5(35 - x) = 13.90

iii) 0.2x + 17.5 - 0.5x = 13.90

0.3x = 3.6

x = 12

Number of 50 cent coin = 35 - x = 35 - 12 = 23

Therefore there are 12 coins which are 20 cent each and 23 coins which are 50 cent each.

Find out more at: https://brainly.com/question/21105092

Answer:

b=29 a=5.5 n=-13 r=12

Step-by-step explanation:

a: 5+8(4)=5+24=29

b: 3-5(-0.5)=3+2.5=5.5

c: 2(-2)^2-5=2(-4)-5=-8-5=-13

d= -3(-1-3)=-3(-4)=12

substitute the variable with the number and pedmas

variable is the letters in the equation: y=5+8x

Answer:

3

Step-by-step explanation:

72÷8=9

3×y=9

3=y

I hope this helps

Answer:

(4, 6 )

Step-by-step explanation:

x - 3y = - 14 ( add 3y to both sides )

x = - 14 + 3y → (1)

x - y = - 2 → (2)

Substitute x = - 14 + 3y into (2)

- 14 + 3y - y = - 2

- 14 + 2y = - 2 ( add 14 to both sides )

2y = 12 ( divide both sides by 2 )

y = 6

Substitute y = 6 into (1)

x = - 14 + 3(6) = - 14 + 18 = 4

solution is (4, 6 )

Answer:

11M + 2X + 8

Step-by-step explanation:

Hope this helps!! :))

Answer:

11M + 2x + 8

I did the math

it rights tho

Answer:

you will half the recipe, so

50g flour

30g sugar

25g margarine

20g chocolate chips

1 egg

then add together. recipe for 15 cookies will be;

150g flour

90g sugar

75g margarine

60gr chocolate chips

3 eggs

Answer:

x+4 x<5

8 5<_x<7

2x -1 7<_x<_10

Answer:

$24.75

Step-by-step explanation:

$8.25 is for 3. So triple that cost gets you $24.75

Answer: .8, -.9, -.5, .9 (estimates)

Step-by-step explanation: correlation coefficients are between -1.0 and 1.0.

    -1.0 means a perfectly negative correlation, which will be a straight line going down from left to right

    0 means no correlation, it's just random points on the graph with no sense of direction or relationship

   1.0 means a perfectly positive correlation, which will be a straight line going up from left to right

the more line-like the shape the data points make are, the further away the correlation coefficient is from 0. you can tell if it's negaitive or positive from the direction of the line.

Answer:

what are you even learning?

Answer:

what is your topic in math class..?

Step-by-step explanation:

which one of the 3 categories represent the 6m ?

the 7 ? the 3 ? or the 5 ?

I suspect it is the 3 (the middle), because it is the only one working with 6 using only integer numbers.

you really have to be more careful about putting all relevant information here for a question.

so,

in general, we see that a "whole" set of distance types has 7 + 3 + 5 = 15 parts (in our case equally long distance segments).

the length of the first type (whatever it is) is 7 parts of the whole 15 parts. = 7/15

the length of the second type is 3 parts of the whole 15 parts (and we suspect this type to be 6m). = 3/15

and the length of the third type is 5 parts of the whole 15 parts. = 5/15

since we now know (or rather assume) that 6m = 3 parts, we can then calculate that 1 part of the 15 is 6/3=2m.

aha !

so then 7 parts are 2×7 = 14m.

and 5 parts are 2×5 = 10m

I guess that's what you needed to find, right ?

just to practice : what would it be, if 6m stands for the 7 ?

we still have the 15 parts of the whole.

but now 7 parts stand for 6m.

1 part is then 6/7m.

3 parts would then be 3×6/7 = 18/7m

5 parts would be 5×6/7 = 30/7m

you see now, why I think the 6m were meant for the 3 part category ?

Answer:

A.) Yes

Step-by-step explanation:

Plug in (3,2) into both equations ....

2(3) - 3(2) = 0

2(3) + 2 = 8

Then solve ....

2(3) - 3(2) = 0

6 - 6 = 0

0 = 0

2(3) + 2 = 8

6 + 2 = 8

8 = 8

Since both equation are true the solution (3,2) is true

Answer:

-1 , 1/2

Step-by-step explanation:

Each term is obtained by dividing by (-2)

-16/-2 = 8

So, the next two terms are:

2/-2 = -1

-1/-2 = 1/2

Answer:

Step-by-step explanation:

Numbers: HCF of 18 and 30

18: 2 * 3 * 3

30:2 * 3 * 5

HCF: 2 and 3 = 6

a: a * a and a.

HCF = a

b: b

c: c and c*c

HCF: C

Answer: 6*a*b*c(3a + 5*c)

Note: for this question one of the factors is the HCF and the other is what remains when the HCF is taken out.

Answer:

Slope = - ⅖

Y-intercept = (0, 4), where b = 4

Step-by-step explanation:

Given the linear equation in standard form, 2x + 5y = 20, where A = 2, B = 5, and C = 20:

Start by transforming the standard equation into its slope-intercept form, y = mx + b, where m = slope, and b = y-intercept.

Subtract 2x from both sides:

2x -2x + 5y = - 2x + 20

5y = -2x + 20

Divide both sides by 5 to isolate y:

[tex]\frac{5y}{5} = \frac{-2x + 20}{5}[/tex]

y = - ⅖x + 4 ⇒ This is the slope-intercept form where the slope, m = -⅖, and the y-intercept, b = 4.  The y-intercept is the point on the graph where it crosses the y-axis, and has coordinates of (0, b). The y-coordinate is the value of b in the slope-intercept form. Therefore, the y-intercept is (0, 4).

Answer:

y = (1/8)x

Step-by-step explanation:

The relevant basic formula is y = kx, where k is the constant of proportionality.

We must find k.  To do this, let y = 15/6 and x = 20 in the above formula:

15/6 = k(20)

We solve for k by dividing both sides by 20:  15/(6*20) = k = 1/8

Then the specific formula for this situation is y = (1/8)x

Answer:

There is no way of finding out.

Step-by-step explanation:

Answer:

y = x^2 - 16x

Step-by-step explanation:

The given roots are x = {0, 16}

y = (x - 0)(x - 16)

y = x(x - 16)

y = x^2 - 16x

Answer:

$8640

Step-by-step explanation:

Step 1:

The total amount of the car currently is $45,000. The car depreciates by 10% for the next 3 years. Then multiply 3 to 45,000.

3 × 45,000 = 135,000

The price then decreases by 10%. So, find 10% of 135,000

[tex]10\% = \frac{10}{100}[/tex]

[tex]135000=\frac{135000}{1}[/tex]

[tex]\frac{10}{100}\times \frac{135000}{1}[/tex]

Cross cancel the zeros

[tex]\frac{10}{1}\times \frac{1350}{1}[/tex]

Multiply across

[tex]10\times1350 = 13500[/tex]

Therefore, for the three years, the cars price is now $13,500.

Step 2:

The next step is the same as the first one. But now the car currently is $13,500. And The car depreciates by 8% for the next years. We have to find the value in 8 years. Then multiply 8 to 13,500.

8 × 13,500 = 108,000

Now, find 8% of 108,000

[tex]8\% = \frac{8}{100}[/tex]

[tex]108000=\frac{108000}{1}[/tex]

[tex]\frac{8}{100}\times \frac{108000}{1}[/tex]

Cross cancel the zeros

[tex]\frac{8}{1}\times \frac{1080}{1}[/tex]

Multiply across

[tex]8\times1080 = 8640[/tex]

Therefore, the value of the vehicle in 8 years is $8640.

Answer:

1) (4,5.5) which is (4, 5 [tex]\frac{1}{2}[/tex])

Step-by-step explanation:

Graph it do the equation, (mx2+nx1 divided by  m+n  ,  my2+ny1  divided by m+n )

m being 1 and n being 5. Plug in the points and you get the answer to be, (4,5.5). So the answer is 1)

Answer:

In set theory and its applications to logic, mathematics, and computer science, set-builder notation is a mathematical notation for describing a set by enumerating its elements, or stating the properties that its members must satisfy.

Step-by-step explanation:

For example, C={2,4,5} denotes a set of three numbers: 2, 4, and 5, and D={(2,4),(−1,5)} denotes a set of two pairs of numbers. ... Another option is to use set-builder notation: F={n3:n is an integer with 1≤n≤100} is the set of cubes of the first 100 positive integers.

Answer:

In set theory and its applications to logic, mathematics, and computer science, set-builder notation is a mathematical notation for describing a set by enumerating its elements, or stating the properties that its members must satisfy.

Step-by-step explanation:

No Explanation

Given that

[tex]f(x) = -3\\\\\implies x^2 -5x +3 = -3 \\\\\implies x^2 -5x +6=0\\\\\implies x^2 - 3x -2x +6 =0\\\\\implies x(x-3) -2(x-3) =0\\\\\implies (x-2)(x-3)=0\\\\\implies x =2~ \text{or} ~ x =3[/tex]

Answer:

(2, - 3 ) and (3, - 3 )

Step-by-step explanation:

f(x) = x² - 5x + 3 and f(x) = - 3 , then equating

x² - 5x + 3 = - 3 ( add 3 to both sides )

x² - 5x + 6 = 0 ← in standard form

(x - 2)(x - 3) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 2 = 0 ⇒ x = 2

x - 3 = 0 ⇒ x = 3

solutions are (2, - 3 ) and (3, - 3 )

Answer:

1*4 = 4 in^2

Step-by-step explanation:

The area for this shape is calculated by multiplying width and length:

1*4 = 4 in^2

Answer:

between 7.0 and 9.0 hours of sleep

Step-by-step explanation:

got it right