the present age of the father is twice HD old is the age of its own three years hence if two years hence the age of the father will be thrice as old as the age of this 11 years ago find your age before one before 5 years​

Answer:

x = 22, y = -4

Step-by-step explanation:

x + 6y = -2 --- Equation 1

-x = 3y - 10 --- Equation 2

Equation 2 ×(-1): x = -3y + 10 --- Equation 3

Substitute x = -3y + 10 into Equation 1:

x + 6y = -2

-3y + 10 + 6y = -2

3y + 10 = -2

3y = -2-10

    = -12

y = -12 ÷ 3

y = -4

Substitute y = -4 into Equation 3:

x = -3y + 10

x = -3(-4) + 10

  = 12 + 10

x = 22

Answer:

680

Step-by-step explanation:

total percent=85%

total marks=800

obtain marks = total percent % 100 mutiply by total marks

Answer:

slope is -1

Step-by-step explanation:

slope is

m= (y2-y1) / (x2-x1) = -5+6 /2-3 = 1/-1 = -1

Answer:

C, D, and E

Step-by-step explanation:

Hope this helps.

Happy New Year!!

Answer:

m3=15(8)+22=142

m1=19(8)-10=142

Both are equal so the answer is Yes they are parallel

Answer:

129-14 is 115 than minus 6 than add 12

Step-by-step explanation:

Answer:

[tex]2y + (4x + 7) + (2x + 19) \\ = 2y + (4x + 2x) + (19 + 7) \\ = 2y + 6x + 26 \\ = 2(y + 3x + 13)[/tex]

Answer:

d=5

Step-by-step explanation:

Answer: d= 5

Step-by-step explanation:

I did this test on edgunity if you need a step by step I can leave it in the comments below. Good luck

Answer:

option C is correct

4 degree polynomial with 4 terms

Answer:

3650 yds

Step-by-step explanation:

Take the length that each person ran and multiply by the number of runners

5 * 730yds

3650 yds

Answer:

length that was ran along = length the first racer runs

= 1×730

= 730 yards

Answer:

D

Step-by-step explanation:

Answer:

[tex]y=-\frac{4}{7} x+\frac{55}{7}[/tex]

Step-by-step explanation:

Change the given equation to slope-intercept to get [tex]y=\frac{7}{4}x-\frac{1}{4}[/tex]. When you multiply the slopes of perpendicular lines, you get -1. -1 divided by [tex]\frac{7}{4}[/tex] is [tex]-\frac{4}{7}[/tex]. The slope of the new line is then [tex]-\frac{4}{7}[/tex]. The perpendicular line passes through (5, 5) so you can have the equation[tex]5=-\frac{4}{7} (5)+b[/tex]. Simplifying gets [tex]b = \frac{55}{7}[/tex] . So now the final equation for the perpendicular line is [tex]y=-\frac{4}{7} x+\frac{55}{7}[/tex]

Answer:

1/2 b ≤-8

Step-by-step explanation:

Answer:

It’s 15 and 17

Step-by-step explanation:

34-7x=2y

-13 -13

(15,17)

Answer:

160-20=140. 140/4=$35.

Answer:

3b = 27

Step-by-step explanation:

They will each receive 9 books

Answer:

B(9) = 11 means the depth of the water in the bathtub, 9 minutes after Tyler began to fill the bathtub is 11 inches

Step-by-step explanation:

Whereby the function is expressed as B(t) = d,

Where;

d = The depth of the water

Therefore, when we have B(9) = 11, by comparing with the general form of the function, B(t) = d, we have;

t = 9 = The time in minutes after Tyler began to fill the bathtub = 9 minutes

d = The depth of the water = 11 inches

Which gives the meaning of the equation, B(9) = 11 as the depth of the water in the bathtub, 9 minutes after Tyler began to fill the bathtub is 11 inches.

Answer: 756: 1764

756 girls and 1,764 boys

Step-by-step explanation:

Girls to boys- 3:7

Total Students: 2,520

Using the information given, you will create an equation.

3x + 7x = 2,520

10x = 2,520

X = 252

Now you plug-in 252 for x in your ratio

X is the the number of people

3(252) : 7(252)

756: 1764

Now when you add these numbers, you get 2,520 which is the total number of students in all. This proves your answer to be correct.

Hope this helps!

The number of girls were in the class is 756 and the number of boys were in the class is 1764.

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

Given that, the ratio of the number of girls to the number of boys was 3 to 7.

2,520 students were present

Now, 3+7 =10

Number of girls =3/10 ×2,520

= 756

So, the number of boys =2520-756

= 1764

Therefore, the number of girls were in the class is 756 and the number of boys were in the class is 1764.

To learn more about the ratio visit:

brainly.com/question/13419413.

#SPJ5

Answer:

the answer is 13%

Step-by-step explanation:

Answer:

[tex]B.\ -3x - 2y = 12[/tex]

[tex]C.\ 15x + 10y = -60[/tex]

[tex]E.\ 6x + 4y = -24[/tex]

[tex]F.\ 1.5x + y =-6[/tex]

Step-by-step explanation:

Given

[tex]3x + 2y = -12[/tex]

Required

Determine equations with same solution as [tex]3x + 2y = -12[/tex]

For a solution to have the same solution as [tex]3x + 2y = -12[/tex], the equation must be expressed as [tex]3x + 2y = -12[/tex]

[tex]A.\ 3x - 2y = 12[/tex]

This can not be expressed as [tex]3x + 2y = -12[/tex]

[tex]B.\ -3x - 2y = 12[/tex]

Multiply through by -1

[tex]-1(-3x - 2y) = 12 * -1[/tex]

[tex]3x + 2y = -12[/tex]

This has the same solution as the given equation

[tex]C.\ 15x + 10y = -60[/tex]

Divide through by 5

[tex]\frac{15x}{5} + \frac{10y}{5} = \frac{-60}{5}[/tex]

[tex]3x + 2y = -12[/tex]

This has the same solution as the given equation

[tex]D.\ 6x + 2y = -12[/tex]

Divide through by 2

[tex]\frac{6x}{2} + \frac{2y}{2} = \frac{-12}{2}[/tex]

[tex]3x + y = -6[/tex]

This can not be expressed as [tex]3x + 2y = -12[/tex]

[tex]E.\ 6x + 4y = -24[/tex]

Divide through by 2

[tex]\frac{6x}{2} + \frac{4y}{2} = \frac{-24}{2}[/tex]

[tex]3x + 2y = -12[/tex]

This has the same solution as the given equation

[tex]F.\ 1.5x + y =-6[/tex]

Multiply through by 2

[tex]2*1.5x + 2*y =-6*2[/tex]

[tex]3x + 2y =-12[/tex]

This has the same solution as the given equation

[tex]G.\ x + \frac{2}{3}y = -12[/tex]

Multiply through by 3

[tex]3 * x + 3*\frac{2}{3}y = -12*3[/tex]

[tex]3x + 2y = -36[/tex]

This can not be expressed as [tex]3x + 2y = -12[/tex]

The equations with the same solution as [tex]3x + 2y = -12[/tex] are the ones that we were able to expressed as [tex]3x + 2y = -12[/tex].

And the equations are:

[tex]B.\ -3x - 2y = 12[/tex]

[tex]C.\ 15x + 10y = -60[/tex]

[tex]E.\ 6x + 4y = -24[/tex]

[tex]F.\ 1.5x + y =-6[/tex]

Answer:

5n = $10.25

Step-by-step explanation:

We know that the tub is 5 pounds, and costs $10.25. We also know that n is in dollars per pound. Dollars per pound can be written as the product of dollars, divided by pounds, so we can plug that in being n = $10.25/5, next we want to make the equation contain an integer on both sides and not contain any fractions, so we multiply both sides by 5, resulting in 5n = $10.25

Answer:

453

Step-by-step explanation:

because we multiply the value with the equation

Answer:

1/2

Step-by-step explanation:

Step one:

given data

sample space

1 blue slice,

2 red slices, and

3 yellow slices

sample size= 1+2+3= 6

Required:

The probability that the dial stops on a blue or red slice

1. The probability that the dial stops on a blue = 1/6

2. The probability that the dial stops on a red= 2/6= 1/3

Hence The probability that the dial stops on a blue or red= 1/6+1/3

= 1+2/6

=3/6

=1/2

Answer:

Yess

Step-by-step explanation:

54:18 = 54/18 = 3/1 = 3:1

18:6 = 18/6 = 3/1 = 3:1

54:18 = 18:6 = 3:1 = 3:1

Thus, Both 54:18 and 18:6 are equivalent

-TheUnknownScientist

Answer:

The difference is significative we reject H₀

Step-by-step explanation:

Normal Distribution

Population mean            X₁    =  150

Population standard deviation       σ  =  25

Sample size        n   =  125

Sample mean     X₂   =  158

1.-CI =  95 %   significance level    α  =  5%    α = 0,05

From z-table α = 0,05    z(c)  =   1,64    ( the test is one-tail test to the right)

2.-Hypothesis Test

Null Hypothesis                                    H₀        X₂  =  X₁

Alternative Hypothesis                        Hₐ        X₂  >  X₁

3.-To compute z(s)

z(s)  =  ( X₂  -  X₁ ) / σ/√n

z(s)  =    8 * 11,14 /25

z(s)  =  89,12/25

z(s)  = 3,56

4.- Comparing  z(s)  and z(c)

z(s)  > z(c)

Then z(s) is in the rejection region we reject H₀

Answer:

I think b sorry if im wrong