does 18/24 and 15/20 form a proportion

Answer:

122°

Step-by-step explanation:

10a + 2° + 5a - 2° = 180° [ being linear pair ]

15a = 180°

a = 180° / 15

a =12°

Now

<XYQ = 10a + 2° = 10 * 12° + 2° = 120° + 2° = 122°

Hope it will help :)

Answer:

✑ [tex] \underline{ \underline{ \sf{First ,\: Let's \: learn \: about \: the \: ratio}}} : [/tex]

Let us consider , there are 30 boys and 40 girls in a school. So, the ratio of number of boys to number of girls = [tex] \sf{ \frac{30}{40} = \frac{3}{4} = 3:4}[/tex] and read as 3 is to 4. We can say , the ratio compares two of more quantities of same unit. Until two quantities have same units , it is meaningless to compare by ratio. So, to find the ratio of two quantities , it is necessary to express them in same unit or of same kind. Since , they are in division form. So ,ratio is unit less quantity. Thus , the ratio is a comparison of two quantities of the same kind in division which doesn't have any units. For example : [tex] \sf{ \frac{a}{b}} [/tex] is a ratio and is read as ' a is to b ' in which ' a : is antecedent and ' b ' is called consequent.

✎ [tex] \underline{ \underline{ \sf{Now \: let's \: solve : }}}[/tex]

☪ [tex] \underline{ \sf{Solution}} : [/tex]

£ 21 is to be divided between Amy and Ben in the ratio 5 : 2. So, let Amy get £ 5x and Ben get £ 2x.

Then , According to the question , [tex] \text{5x +2x = 21}[/tex]

Solve for x :

⇝ [tex] \sf{7x = 21}[/tex]

⇝ [tex] \sf{ \frac{7x}{7} = \frac{21}{7} }[/tex]

⇝ [tex] \sf{x = 3}[/tex]

The value of x is 3. Now , substitute the value of x in 5x :

Amy received £ 5x = 5 × 3 = £ 15 .

☥ [tex] \boxed{ \boxed{ \tt{Our \: final \: answer \: is \bold{£ \: 15}}}}[/tex]

Hope I helped ! ツ

Have a wonderful day / night ♡

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Answer:

y= 3/2 x -2

Step-by-step explanation:

I guess you want to find the y=mx+b form

So you do +3x on both sides which will gave you: 2y= 3x-4

Then, you will divide by two on both sides to find the y value: 2y/2 = (3x-4)/ 2

So 3/2 is the fraction like the answer above and -4/2 = -2

Hope that helps :)

Answer:

Gfdyuihgff hibhhiuuuuyyygfxf. Hugfti. Hffty9

Answer:

vertical line

Step-by-step explanation:

Step-by-step explanation:

-20 > -2x + 4

2x > 4 + 20

2x > 24

x > 12

or

x ∈ 《12 , + ∞》

-20 > -2x + 4

-20 -4 > -2x

-24 > -2x

-24/-2 < x  <inequality changes when you divide by a -ve no. >

12 < x

Answer:

x = 2 and y = 1

Step-by-step explanation:

Given equations are :

2x-y=3 ...(1)

3x+y=7 ...(2)

Add equation (1) and (2) as follows :

2x-y + 3x+y = 3 + 7

2x + 3x = 10

5x = 10

x = 2

Put the value of x in equation (1)

2(2)-y=3

4-y = 3

y = 4-3

y = 1

Hence, the solution of the given equations are (2,1).

Answer:

1. 2m - n + 2

Step-by-step explanation:

12×4m - 12×2n + 12×4. ( because 12 is multipled by whole bracket)

48m - 24n + 48.

2m - n + 2. (by finding common factor 24)

Answer:

Option D is correct .

Step by step explanation:

A function is given to us and we need to find its inverse . The function is g(x) = -2x⁵ - 2.

So for finding its inverse , exachange x with y .

⇒ g(x) = -2x⁵ - 2 .

Let g(x) = y ,

⇒ y = -2x⁵ - 2 .

Replace x with y ,

⇒ x = -2y⁵ - 2

⇒ x + 2 = -2y⁵

⇒ y⁵ = x+2 / -2

⇒ y⁵ = (-1) ( x + 2) / (-1)(-2)

⇒ y⁵ = -x - 2/ 2

⇒ y = ⁵√ [ ( -x -2)/2 ]

Hence the inverse of the function is ,

[tex]\boxed{\red{\bf f^{-1}(x)=\sqrt[5]{\dfrac{-x-2}{2}}}}[/tex]

Given:

Original price = $15.25

Tax rate = 7%

To find:

The total amount.

Solution:

We know that,

Total amount = Original price + Tax

According to the question,

Total amount = 15.25 + 7% of 15.25

[tex]\text{Total amount}=15.25+\dfrac{7}{100}\times 15.25[/tex]

[tex]\text{Total amount}=15.25+1.0675[/tex]

[tex]\text{Total amount}=16.3175[/tex]

Round to the nearest cent (two decimal places).

[tex]\text{Total amount}\approx 16.32[/tex]

Therefore, the total value is $16.32.

Answer:

60 km/hr

Step-by-step explanation:

Let the speed at the initial average speed from Town X to Town Y be a.

We are told that it journeyed to Town Z at an average speed 20 km/h faster than its initial average speed. Thus, its average speed here is (a + 20) km/hr.

Town Y was 200 km from Town Z.

Thus, time spent here is;

t_2 = 200/(a + 20)

Time from X to Y is; t_1 = 150/a

We are told that it took the same time to travel for both parts of the journey.

Thus; t_1 = t_2

150/a = 200/(a + 20)

Cross multiply to get;

150(a + 20) = 200a

150a + 3000 = 200a

200a - 150a = 3000

50a = 3000

a = 3000/50

a = 60 km/hr

Answer:

1 inch represents 60 feet.

Step-by-step explanation:

120/2

= 60

So his scale is 1:60

Answer:

Its 1 inch represents 60 ft

Step-by-step explanation:

you have to divide 120 by 2 and thats 1 inch per 60 feet

Answer:

A)10

Step-by-step explanation:

hope it helps u

Answer:

it's answer is b

|-80+15| = |-65| = 65 units

Hope this helps :)

This question is about displacement. Displacement is a set of vectors. So the answer is - can't be + can't be.

so,answer-b

Answer:

104?

Step-by-step explanation:

52*4 = 208 ÷ 2 = 104

Answer:

The third Graph

Step-by-step explanation:

Using the vertical line test to determine whether or not a graph represents a function. If a vertical line is moved across the graph and, at any time, touches the graph at only one point, then the graph is a function. If the vertical line touches the graph at more than one point, then the graph is not a function.

Answer:

The third Graph

Step-by-step explanation:

Answer:

1 ballon will be leftover.

Step-by-step explanation:

53 divided by 4 will be 13 and 13 times 4 is 52 sooo 53 minus 52 is 1 balloon left over. the sad lonely balloon...

Answer:

Prime numbers between 70 and 80 are 71,73,79

71+73+79=223

50 =2x5x5=2x5^2

Answer:

Yes, good for him. lol

Step-by-step explanation:

Answer:

what he do there?

Answer:

1.74

Step-by-step explanation:

9514 1404 393

Answer:

  B

Step-by-step explanation:

The given equation is in slope-intercept form:

  y = mx + b

where the slope is m = -3 and the y-intercept is b = +2.

So, the graph will have a slope of ...

  "rise"/"run" = -3 = -3/1

and will cross the y-axis at y=2.

Graphs A and B cross the y-axis in the right place, but only Graph B has a negative "rise" a x increases.

Answer:

It will take 3.5 minutes to make 126 copies

Step-by-step explanation:

Answer:

Step-by-step explanation:

We can do 126/36 to get our answer since 126 is the total copies and 36 is the copies we can do in a minute. 126/36 = 3.5 so it will take 3.5 minutes.

Answer:

208.8

Step-by-step explanation:

240 times 0.87 is 208.8

Answer: ↓↓↓

Step-by-step explanation:

a.) 100 - 10^2

b.) 10,000 - 10^4

c.) 100,000 - 10^5

d.) 10 - 10^1

e.) 1000 - 10^3

f.) 1,000,000 - 10^6

What I do personally is that I count the number of zeros in the number and that is how many powers the ten powers to. Like a, there are two zeros in 100 so its 10 to the power of 2.

Answer:

x=10

Step-by-step explanation:

X^2=6^+8^

x^2=36=64

x^2=100, square root of 100 =10

x=10

Step-by-step explanation:

the correct answer is in there

Answer:

A. Jim did not simplify the (4-2)^2 which is the first step.

B.

5-3(4-2)^2 = 5-3(4)

5-12=-7

Step-by-step explanation:

Hopefully this helps. Got some help from math-way lol

Answer:

Step-by-step explanation:

Answer:

a) (2,4)

Step-by-step explanation:

it's where the points meet