find the ratio a : b if it is given that 5a-3b=7b

Answer:

4

Step-by-step explanation:

divide 18 by 72

Answer:

Step-by-step explanation:

the sales tax will be 150*(7/100)=10.50

choice B

Answer:

X=-1

Y=1

Solve using Elimination.

Step-by-step explanation:

Multiply the second equation by 7.

The two equations are now:

7x+6y=-1

-7x +14y=21

Combine the two equations

7x and -7x cancel each other out, 14y+6y is 20y, and 21 - 1 is 20.

The equation is now

20y=20, divide 20 on both sides to get Y=1.

Now, substitute 1 as Y in the second equation for -x+2(1)=3

-x+2=3, can be simplified, by subtracting 2 from both sides. Giving us

-x=1.

Divide both sides by -1 for X=-1

Final answers being X=-1, Y=1

Hope this helps! Let me know if you have further questions!

Answer:

b. x > -6

Step-by-step explanation:

> [greater than], and < [less than] inequalities are not filled in because the value is not included, but is only greater or less than.

≥ [greater than or equal to], and ≤ [less than or equal to] inequalities are filled in because the value is included, and it is greater than or less than.

Given that there is an empty circle with an arrow moving in the positive direction from -6, the inequality must be a greater than, and since the value is -6, x > -6.

Answer:

Step-by-step explanation:

you got this i believe in you!

Answer:

50 :D

Step-by-step explanation:

Answer:

<C = 52*

Step-by-step explanation:

180- 2(65) = 52

Answer:

48 cups

Step-by-step explanation:

There are 16 cups in 1 gallon. I know this because i divided 64 by 4 to get the amount added. If you subtract 16 from 64, you get 48 cups.

Answer:

18=3x x=6

Step-by-step explanation:

3x+30+x=

10+2x+5x+2=

3x+18+x=

2x+5x=

18=3x    

   x=6

Answer:

a. 4/11

b. 11-4= 7 used books. So the ratio of used books to all books is 11/7

Answer:

Slope = 5

Point = (4, 2)

Step-by-step explanation:

Slope: 5

Step-by-step explanation:

This is called point slope form. y-y1=m(x-x1)

If m is slope then your slope is 5

Answer:

Nickel = 13

Dimes = 8

Quarters = 16

Step-by-step explanation:

Let N denote Nickel,

Let D denote dime

Let Q denote quarter

Now, from online conversions;

1 nickel = 5 cents

Also, 1 dime = 10 cents

Also, 1 quarter = 25 cents

Isabelle has $5.45 which is also 545 cents.

Thus, we have;

5N + 10D + 25Q = 545 - - - (eq 1)

We are told that;

she has five more nickels than dimes, and twice as many quarters than dimes.

Thus;

N = D + 5

Also, Q = 2D

Plugging them for N and Q in eq 1 givens;

5(D +5) + 10D + 25(2D) = 545

5D + 25 + 10D + 50D = 545

25 + 65D = 545

65D = 545 - 25

65D = 520

D = 520/65

D = 8

Thus; N = D + 5 = 8 + 5 = 13

Q = 2D = 2 × 8 = 16

Answer:

26

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

so first we need to figure out how many money did she save

50*20% = 10 dollars

so she saved 10 dollars

then 50-10=40

so she paid 40 dollars

Answer:

5 m

8 m

Step-by-step explanation:

Area of square = s² ; s = side length

Let the area of each room equal to x and y

x + y = 89cm²

If x = smaller room

y = x + 3 in dimension

Hence,

x² + (x + 3)² = 89

(x +3)(x +3) = x² + 3x + 3x + 9

x² + x² + 3x + 3x + 9 = 89

2x² + 6x + 9 = 89

2x² + 6x - 80 = 0

x² + 3x - 40 = 0

x² + 8x - 5x - 40 = 0

x(x + 8) - 5(x + 8) = 0

x + 8 = 0 ;

x - 5 = 0

x = - 8 or x = 5

Dimension can't be negative :

So, x = 5

Samller square = x = 5

Larger square = x + 3 = 5 + 3 = 8

Answer:

25 is the total length

Step-by-step explanation:

Distance driven = 15

Which Is 3/5 of the way home

Total length of drive

The unknown = x which is the total length of his drive

From the statement in this question 15 is three-fifth of c

So we have this equation:

(3/5)x = 15

We divide both sides by (5/3) so that x can stand on its own

(3/5)(5/3)x = 15(5/3)

(15/15)x = 75/3

x = 25

The total length of the drive is 25

Answer: 9 (2x + 1)

Step-by-step explanation: i hope i helped

Answer:

18.85 inches

Step-by-step explanation:

Eq: 2πr

D/2=R

6/2=3 inches

2π3

=18.85 inches

OR

πd

6π

=18.85 inches

Answer:

2

Step-by-step explanation:

because the 8 feet used on a ladder on level at the ground from the side of a house.

Answer:

5.27 lb

Step-by-step explanation:

Given that,

Mya has 3 times as much floor as Eric. Mya has 15.81 lb of floor. The relation is given by :

Let Eric has F floor.

3F = 15.81 ...(1)

We need to find how much flour Eric has.

Dividing both sides by 15.81.

F = 15.81/3

F = 5.27 lb

Hence, Eric has 5.27 lb of flour.

Answer:

A

Step-by-step explanation:

Given :

2x + 4y = 14  ---------- eq 1

4x + y = 20 ---------- eq 2

if you multiply eq 2 by -4 on both sides, you get

-4 (4x + y = 20) = -4 (20)

-16x -4y = -80 --------- eq3

we can see that eq. 1 and eq 2 together forms the system of equations presented in option A, Hence A is equvalent to the orginal system of equations given in the question.

The system of equations which is equivalent to the [tex]2x + 4y = 14[/tex],[tex]4x + y = 20[/tex]  is given in option [tex](A)[/tex] i.e. [tex]2x + 4y = 14[/tex] and [tex]-16x - 4y = -80[/tex].

System of equations comprises of two or more equations and seeks common solutions to the equations.

We have,

[tex]2x + 4y = 14[/tex]   [tex]........(i)[/tex]

  [tex]4x + y = 20[/tex]    [tex]........(ii)[/tex]

Now,

To check that which option suits best for system of equation,

Lets multiply equation [tex](ii)[/tex] by [tex](-4)[/tex],

  [tex](-4) (4x + y) = (-4)*(20)[/tex]

[tex]-16x-4y=-80[/tex],

So, this above obtained equation is in option  [tex](A)[/tex].

Hence, we can say that the system of equations which is equivalent to the [tex]2x + 4y = 14[/tex] ,[tex]4x + y = 20[/tex] is given in option [tex](A)[/tex] i.e. [tex]2x + 4y = 14[/tex] and [tex]-16x - 4y = -80[/tex].

To know more about system of equations click here

https://brainly.com/question/21620502

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Answer:

x=109

Step-by-step explanation:

The angles inside of a triangle all add up to 180 degrees. So:

23+48+x=180

Simplify Like-Terms:

71+x=180

Subtract 71 from both sides:

x=109

Answer: Hence, Mean height of the girls is: 1.48

Step-by-step explanation: It is given that:

in a class of 32 students .

the mean height of 14 boys is 1.56 and the mean height of all 32 students is 1.515.

Since there are 14 boys in a class.

So, number of girls is equal to (32-14)=18.

The mean height of 14 boys is 1.56.

Hence the sum of height of 14 boys is= 1.56×14=21.84

Similarly mean height of 32 students is 1.515.

Hence, sum of height of 32 students=1.515×32=48.48.

Let x denote the mean height of 18 girls.

Hence, sum of height of 18 girls is: 18 x.

Now,

18x+21.84=48.48

( since sum of height of girls and boys is equal to the sum of height of all the students)

so, 18x=48.48-21.84

18 x=26.64

Hence, x=1.48

Hence, Mean height of the girls is: 1.48

Answer:

Step-by-step explanation:

Find 5% of £16855.21 by 3.5%

5%=842.7605

1%=168.5521

0.5%=84.27605

168.5521+168.5521+168.5521+84.27605=

£16855.21-589.93235 =16265.27765

16265.28 is the answer rounded to 2dp

Answer:

its is6700rr centimeters

Step-by-step explanation:

Answer:

SRM, MRS

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

We will first take a right triangle and we will apply the pythagorean theorem to it. First, the base of the right triangle will be 12/2 which is 6; then, we will just use the theorem.

a^2+b^2 = c^2 (pythagorean theorem)

8^2+6^2 = c^2

100 = c^2

c = 10 because the square root of 100 is 10