The variables Y and X have a proportional relationship andY equals 15 when x=3. What is the value of X when Y =4?

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:

WHERE IS THE QUESTION

Step-by-step explanation:

Answer:

I think it might be e=5h someone please correct me if I'm wrong

Step-by-step explanation:

Answer:

e = 5h

Step-by-step explanation:

To find the unit rate (money earned per hour), we divide 10 by 2, which gets us 5. That means $5 is earned per house. If h is the number of houses shoveled, and he earns $5 per house, we can write that as 5h. If e is the money earned, we can write this whole thing as e = 5h.

Answer:

i think I might be 0.57142857142 but if it’s wrong as g00gle

Step-by-step explanation:

Answer:

C. 12/21

Step-by-step explanation:

2/3 × 6/7 = twelve twenty first

Answer:

A.5/12

Step-by-step explanation:

Answer:5/12

Step-by-step explanation:

Answer:

72 hope it helps............

Answer:

72

is you answer because 8×9=72

Answer:

y=-2x+3

Step-by-step explanation:

In a y=mx+b equation, M is the slope and B is the y intercept. So write down that equation and plug in the numbers you're given

Answer:

8 to 20 miles

The covered wagon made 8 to 20 miles per day depending upon weather, roadway conditions and the health of the travelers. It could take up to six months or longer to reach their destination.

Step-by-step explanation:

Answer:52

Step-by-step explanation:

Answer: what is your question

Step-by-step explanation:

Answer:

C.....................m

Answer:

boy:girls

5:4

64/4= 16

5 X 16 =80

there are 80 boys

Answer:

Constitution will not be amended.

Step-by-step explanation:

To amend the country's constitution, number of states should approve the amendment = [tex]\frac{7}{9}[/tex] of 69

= [tex]\frac{7}{9}\times 69[/tex]

= 53.67

≈ 53 states

But the states who approved the amendment = 52

And 52 < 53

Therefore, constitution will not be amended.

Answer:

n = 104

Step-by-step explanation:

Answer:

n = 104

Step-by-step explanation:

Answer:

y = 3x + 11

Step-by-step explanation:

Substitute the information into the point-slope form equation.

Point-slope form: y - y₁ = m(x - x₁)

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

y - 2 = 3(x + 3)

y - 2 = 3x + 9

y = 3x + 11

Answer:

$10.76

Step-by-step explanation:

Just multiply 2.99 by 3.6 and round

Answer:

x=5,y=2

Step-by-step explanation:

THis are the answer's because in the inequalities u solve them and them u get your answer

Answer:

x = 8

Step-by-step explanation:

Let the number = x

x/6 - 1/3 = x/8

-1/3 = x/8 - x/6

-1/3 = (6x-8x)/48

-1/3 = -2/48x

Divide both sides by -2/48

x = -1/3 ÷ -2/48

= -1/3 × -48/2

= 48/6

= 8

x = 8

The number = 8

Answer:

here is how you do it

Step-by-step explanation:

first you must solve 1% of 20 which is .2

then you solve for 10% which is 2

then you double it which is 4

so you would take 4 dollars of the original price

the cost is $16

Answer:

3x+14

Step-by-step explanation:

2(3x+4) -3(x-2)

6x+8 -3(x-2)

6x+8 -3(x-2)

6x+8 -3x+6

6x+8-3x+6

6x+ 14 -3x

6x +14 -3x

3x +14

Answer:

ofc! :D

Step-by-step explanation:

i- x represents the input

ii- y represents the output

iii- yes, the input (x) is 4 times greater than the output (y)

b just plot them like normal on a coordinate grid :D

Answer:

2

Step-by-step explanation:

2^13= 8192 and the last digit is 2.

Answer:

V=706.85

Step-by-step explanation:

Well, first of when you want to find the volume of the cone you need to have a radius and hieght. And the radius is half the diameter, so divide the diameter into half: 10/2=5 in. and you already have the height so just plug in the numbers.

Formula: V= [tex]\frac{1}{3}[/tex][tex]\pi[/tex][tex]r^{2}[/tex]h ---> V= [tex]\frac{1}{3}[/tex][tex]\pi[/tex]([tex]5^{2}[/tex])(27)

And put the plugged in formula in your calculator and you'll find the answer!

V=706.85

I hope this helped.

Answer:

y= 2x + 3

Step-by-step explanation:

To have a parallel line they need to have the same slope.

Then you need to plot the point (2,7).

A slope of 2x means that it goes up 2 y values for every x value it goes up by. So to find the y-intercept, you need to go down 2 x values. Meaning you need to subtract 4 y values. (0,3).

y= (slope) + y-intercept

Answer:

y = 2x + 3

Step-by-step explanation:

1. Approach

The line y = 2x -1 is written in slope-intercept form, essentially; y = mx + b, where "m" is the slope, and "b" is the y-intercept. If two lines are parallel, then they both have the same slope. So one simply has to substitute in a point on the line to find out what the y-intercept is, and assemble the equation.

2. Slope

As mentioned above, two parallel lines have the same slope. Hence the slope of the line that one is trying to find the equations of is 2.

3. y-intercpet

Substitute in the point that is given, and solve for the y-intercept.

y = mx + b

y = 2x + b

7 = 2(2) + b

7 = 4 + b

3 = b

4. Assembling what one knows

The equation of the line is;

y = 2x + 3

Were 2 is the slope, and 3 is the y-intercept.

Answer:

One solution, x = 8/9

Step-by-step explanation:

One way to solve this is to take one equation and substitute into the other and then solve. So, take y=5(x-4) and put that into the other equation.

4x + 12 = -y

4x + 12 = -(5(x-4))       <--- substitution here

4x + 12 = -5(x-4)

4x + 12 = -5x + 20     <-- simplifying

4x + 5x = 20 - 12

9x = 8

x = 8/9

Answer:

false

Step-by-step explanation:

7x-9=(7x-1)(9)

7x-9=63x-9

so, the LHS is not equal to RHS.

Answer: 3/2 I’m on something similar rn

Step-by-step explanation: