To eliminate the y-terms and solve for x in the fewest steps, by which constants should the equations be multiplied by before
adding the equations together?
First Equation: 5x - 4y = 28
Second equation: 3x - 3y = 30
The first equation should be multiplied by 3 and the second equation by 5.
The first equation should be multiplied by 3 and the Second equation by -5.
The first equation should be multiplied by 9 and the second equation by 4
The first equation should be multiplied by 9 and the second equation by -4.
Mark this and retum
Save and Exit
Next
Submit

Answer= 13 years

Solution,

Let the age of grandmother be y

Let the age of grandson be X

according to question,

9x=y ( equation I)

X+56=y( equation ii)

Substituting,

9x=x+56

or,9x-x=56

or,8x=56

or,X=56/8

X=7

Again,

Age of grandson after 6 years

=7 years+6 years

=13 years

Hope it helps

Good luck on your assignment

The age of her grandson after 6 years is 13 years.

A mathematical statement in which two expressions are set equal to each other is known as an algebraic equation. A variable, coefficients, and constants are commonly included in an algebraic equation.

Let the age of the grandmother be x and the age of her grandson be y.

Since the grandmother is 9 times older than her grandson, we can write

x = 9y ...(1)

Since the grandmother is 56 years older than her grandson, we can also write

x = y + 56 ...(2)

We have to solve these two algebraic equations.

Equating the L.H.S. of (1) and (2),

9y = y + 56

i.e. 9y - y = 56

i.e. 8y = 56

i.e. y = 56/8 = 7

So, now the age of her grandson is 7 years.

Therefore the age of her grandson after 6 years is 6+7= 13 years.

Know more about algebraic equations here -

https://brainly.com/question/140336

#SPJ2

Answer:

2π/3 I believe !

Step-by-step explanation:

Answer:

y-intercept is 3

Step-by-step explanation:

This equation is a linear equation [tex]y=mx+b[/tex].

m is the slope.

b is the y-intercept.

[tex]y=mx+b[/tex] is the same as [tex]y=7x+3[/tex]

7 would be the slope.

3 would be the y-intercept.

Answer:

91+c

Step-by-step explanation:

The equation to find the perimeter of the triagle is every side added together. We know 2 sides which means we add them to get 91. Then we know we don't know the next number but we add it so we just put the c where the next number to be added would go.

Answer:

A. Obtuse

Step-by-step explanation:

Supplementary Angles: either of two angles whose sum is 180°

Adjacent: have a common side, a common vertex, and don't overlap

Answer:

(A) The independent variable is time (t) in minutes, and the dependent variable is rental cost (), in dollars. The linear function that models this situation is

R(t) = 30t +8

The time that can be rented for $26 = 1min

Step-by-step explanation:

Based on the information given:

Setup charge on Rent at local copy center = $9

an additional $150 for every 5 minutes. To determine the time that can be rented for $26, let's find the relationship between the rental cost and the time.

For every 5min = $150

For 1 min = $150/5

For t min = 150t/5

Where t = number of minutes of rental time

Rental cost = set up charge + additional cost

Let Rental cost = R(t)

R(t) = 9 + 150t/5

Writing it in form of a linear equation: y = mx + c

R(t) = 150t/5 +9

R(t) = (150/5) ×t + 9

R(t) = 30t + 9

The independent variable is time (t) in minutes, and the dependent variable is rental cost (), in dollars. The linear function that models this situation is

R(t) = 30t + 9

The time that can be rented for $26:

Rental cost = $26

R(t) = 30t +9

26 = 30t +9

26-9 = 30t

17 = 30t

t = 17/30 = 0.57

t is approximately = 1min (nearest minute)

The time that can be rented for $26 = 1min

[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}[/tex]

This is the distance formula. To find the distance, solve as shown:

[tex]d=\sqrt{(6-9)^{2}+(3-(-2))^{2} } \\d=\sqrt{(6-9)^{2}+(3+2)^{2} } \\d=\sqrt{(-3)^{2}+(5)^{2} } \\d=\sqrt{9 +25 } \\d=\sqrt{34 }[/tex]

Answer:

111 units

Step-by-step explanation:

the diameter is double the radius so divide 222 by 2 to get 111 units.

Answer:

C. x²+12x+36

Step-by-step explanation:

Since a square's area is figures out with [tex]length^{2}[/tex] and since the length is x+6, then we get:

(x+6)²=

(x+6)(x+6)=

Use FOIL method.

First: x²

Outer: 36

Inner: 6x

Last: 6x

x²+36+6x+6x=

x²+12x+36

The answer that fits is C. x²+12x+36.

Answer:

C. x²+12x+36

hope this helped

Answer:

and 4x-5x-4x+3y+7y-3y-8z+10z-8z

-5x+7y-6z :this is the answer

To find the volume of a box-shaped fish trap, we have to multiply the three dimensions of it: 

(1/4 m)* (2/3 m)* (3/5 m)

= (1*2*3)/ (4*3*5) m^(3)

= 6/ 60 m^(3)

= 1/10 m^(3)

= 0.1 m^(3)

The volume of the box-shaped fish trap is 0.1 m^(3).

Hope this is helpful~

Answer:

Mr Y got 10 votes

Step-by-step explanation:

The election of the housing society has 30 voters. Each of them gives the vote. The three person vying for the post of secretary are X, Y and Z.

Le us calculate the votes of each contestant

Mr X

He got 2/5 of the total votes

number of votes = 2/5 × 30

number of votes = 60/5

number of votes = 12

Mr Z

He got 1/4 of the total votes

number of votes = 1/4 × 30

number of votes = 30/4

number of votes = 1/4 × 30

number of votes = 7.5 ≈ 8 votes

Mr Y

The remaining votes will be 30 - 12 - 8 = 10 votes

Therefore,

Mr Y got 10 votes

Answer:

D

Step-by-step explanation:

D is the correct answer, (-y, x)

Answer:1.8*10^-1

Step-by-step explanation:

Answer:     1.8 x 10^−1

Step-by-step explanation:

Answer:

3 5/7

Step-by-step explanation:

First we need to get a common denominator.

We can do this by multiplying the fractions by opposite denominators.

This gets us 3 50/70 and 3 42/70

Now we can see that 3 5/7 is greater

Steps:

Using the given inputs: 3  5/7   and  3  6/10

Rewriting these inputs as fractions:  3 5/7                3 6/10

                                                            26/7                 36/10

The least common denominator (LCD) is: 70.

Rewriting as equivalent fractions with the LCD:      3 5/7             3 6/10

                                                                                    260/70     252/70

Comparing the numerators of the equivalent fractions we have:

3 5/7   3 6/10

260/70 > 252/70

Comparison shows:  3 5/7 > 3 6/10

Answer: 3 5/7 > 3 6/10

Please mark brainliest

Hope this helps.

Answer:

25/24

Step-by-step explanation:

Let

Sally=S

May=M

Sally is 5/6 as tall

S = 5/6

May is 4/5 as tall

M = 4/5

S/M = 5/6/4/5

=5/6×5/4

=25/24

Answer:

no solutions

Step-by-step explanation:

Subtract the two equations

3x+y=18

-(3x+y=16)

--------------------

0 + 0 = -2

0 does not equal negative 2

This is never true so there are no solutions

Answer:

The number of solutions is 0.

Step-by-step explanation:

The x and y terms are equal. The constants are different. The lines are parallel. No solution.

Answer:

$ 809.78

Step-by-step explanation:

Given that

F = future value = $50,000

Interest rate = r = 1.45% = 0.0145

Number of period per year = 12months

Time expressed in years = 5years

The present value of a periodic deposit

P =( F ×r/n)/{ (1+r/n)^nt} -1

Substituting the values into the above formula

P = (50000× 0.0145/12)/(1+0.0145/12)^12×5}-1

= 50000×0.001208/(1+0.0012)^60}-1

= 60.4/1.0012)^60}-1

60.416/1.074608-1

60.4/0.07460

= $ 809.779

His monthly deposit will be $ 809.78

Answer:

12a+62b

Step-by-step explanation:

4a(2+3b)-5b(4a-10)

opening brackets

=8a+12b-20a+50b

=8a-20a+12b+50b

=-12a+62b

Answer:

Step-by-step explanation:

This right triangle is on a grid.

The area is the height * base/2

The base is on a line segment parallel to the x axis which is 6 squares.

The height is on a line segment parallel to the y axis which is 2 squares

The area is the height * base /2

Area = 6 * 2 /2 = 12/2 = 6 square units.

Answer:

                                                                                                                                                     32

Step-by-step explanation:

2b+6=70

      -6=70-6=64

       [tex]\frac{2b}{2}[/tex]=64÷ 2

         b=32

beaten it's a visable line beween the equal line

Answer:

1/6

Step-by-step explanation:

Since we don't care what appears on the first roll

P( outcome) = 1

Second roll

P(1 or 2) = number of 1 or 2 / total number of outcomes

              =2/6 = 1/2

Third roll

odd numbers 1,3,5

P( odd number)= number of odd numbers/ total

                          =3/6 =1/2

P( outcome, 1or 2, odd)  = P( outcome) *P(1 or 2) *P( odd number)

                                       = 1* 1/3 * 1/2

                                       = 1/6

Answer:

x = 7

Step-by-step explanation:

-7x= -8x+7

Add 8x to each side

-7x+8x= -8x+8x+7

x = 7

Answer:

The value of [tex]x[/tex]:

[tex]x = 7[/tex]

Step-by-step explanation:

Solve for [tex]x[/tex]:

[tex]-7x = -8 x + 7[/tex]

Add both sides by [tex]8x[/tex]:

[tex]-7x + 8x = -8x + 8x + 7[/tex]

[tex]x = 7[/tex]

So, the final answer is [tex]x = 7[/tex] .

Answer:

7/9

Step-by-step explanation:

19/6

Step-by-step explanation:

3/4 + 5/3 +3/4

3/4 + 3/4 = 3/2

3/2 + 5/3 =19/6 or 3.16....

Answer: 700

84 is 12% of What Number:

12% of 700 is 84

100% of 700 is 700, therefore 12 percent of 700 equals 84.

To check this, 12% of 700 IS 84 (Check on Calculator)

Hope this helps!!

Answer:

1.5*w^2 + 15*w + 36

Step-by-step explanation:

We have to make the width of the portrait be 'w'

 in addition to that the height of the frameless portrait (h) = 1.5 times its width, i.e. 1.5 * w

Frame width is 3 inches on all sides.

Therefore the area of the framed portrait is the total area of the portrait plus the area of the frame. The figure representing the above scenario is shown below.

I enclose a figure that allows us to see the problem better, the area of the rectangle ABCD is the area of the framed portrait.

From the figure, we have to:

AB = 3 + w + 3 = w + 6

BC = 3 + h + 3 = h + 6 = 1.5 * 2 +6

We know that the area of the rectangle ABCD is given as the product of the length AB and the width BC. Thus,

Area = (w + 6) * (1.5 * w + 6)

Area = 1.5 * w ^ 2 + 6 * w + 9 * w + 36

Area = 1.5*w^2 + 15*w + 36

That is, the expression for the framed portrait area in terms of the width 'w' is:

1.5*w^2 + 15*w + 36

Answer: They can make 18 ornaments

Step-by-step explanation:

you make 4 and 1/2 into the common denominator of 4. So then you get 4 and 2/4 you multiply 4 by 4 to get 16 and then add it to the 2/4 to get 18/4 each takes 1/4 so you have 18(1/4)