Which pair of ratios is equivalent?
O A. 4:6 and 12:18
O B. 2:3 and 4:8
O C. 3:5 and 6:15
O D. 7:10 and 8:12

Answer:

90.

Step-by-step explanation:

If the number of girls = x then the number of boys = x+60 and the total is 2x + 60.

As the ratio of boys to girls = 5:1, the fraction of boys = 5/6 and of girls is 1/6.  

So x = 1/6(2x + 60)

x = 1/3x + 10

2/3 x = 10

x = 10*3/2 = 15.

So the total number of people = 2(15) + 60 = 90.

Answer:

250

Step-by-step explanation:

1. Simplify the expression to 2 x 5^3.

2. Evaluate the power (125)

3. Solve 2 x 125

Answer:

There is no picture

Step-by-step explanation:

I wanted to help but i cant

Answer:Its D

Step-by-step explanation: (6, 34)

Answer:

3.141592654...

Step-by-step explanation:

it just keeps going and going and never stops.

please give me brainliest

Answer:

57.12, but being precise and accurate, you might wanna put 58.

Step-by-step explanation:

So, there's this guy, his name is calculator.

Answer:

u=2

Step-by-step explanation:

8u+ 33 =-7(u-9)

Distribute

8u+ 33 =-7u+63

Add 7u to each side

8u+33+7u = -7u+63+7u

15u+33 = 63

Subtract 33 from each side

15u +33-33 = 63-33

15u = 30

Divide each side by 15

15u/15 = 30/15

u =2

Answer & Step-by-step explanation:

- 22 = -8u + 6(u-7)

-22 = -8u + 6u - 42

8u - 6u = 22 - 42

2u = -20

u = -20/2

u = -10

Answer:

a. [tex] y = \frac{2}{5}x - 6 [/tex]

Step-by-step explanation:

The slope-intercept form of equation of a line is given as [tex] y = mx + b [/tex]. Where,

m = slope

b = y-intercept.

Rewrite the equations, [tex] 2x - 5y = 12 [/tex] and [tex] 4y + 24 = 5x [/tex], in the slope-intercept form by making y the subject of the formula. Then, derive our new equation that has the same slope as the first equation, and the same y-intercept as the second equation.

[tex] 2x - 5y = 12 [/tex]

[tex] 2x - 12 = 5y [/tex]

Divide both sides by 5

[tex] \frac{2x - 12}{5} = \frac{5y}{5} [/tex]

[tex] \frac{2x}{5} - \frac{12}{5} = y [/tex]

Rewrite

[tex] y = \frac{2x}{5} - \frac{12}{5} [/tex]

The slope of [tex] 2x - 5y = 12 [/tex] is ⅖.

[tex] 4y + 24 = 5x [/tex]

[tex] 4y = 5x - 24 [/tex] (subtraction property of equality)

Divide both sides by 4

[tex] \frac{4y}{4} = \frac{5x - 24}{4} [/tex]

[tex] y = \frac{5x}{4} - \frac{24}{4} [/tex]

[tex] y = \frac{5x}{4} - 6 [/tex]

The y-intercet of [tex] 4y + 24 = 5x [/tex] is -6

Therefore, the equation that has the same slope as the first equation and the same y-intercept as the second equation would be:

[tex] y = mx + b [/tex]

Plug in the values of m and b

[tex] y = \frac{2}{5}x + (-6) [/tex]

[tex] y = \frac{2}{5}x - 6 [/tex]

I think it's A :)))

..........

Answer:

c

Step-by-step explanation:

it has a fraction with the variable next to it

Answer:

b

Step-by-step explanation:

Answer:

x=35

Step-by-step explanation:

Answer:

[tex] -0.2 [/tex]

Step-by-step explanation:

Given:

(-3, 3.6);

(5, 2)

Required:

Rate of change

SOLUTION:

Rate of change for the function is given as [tex] \frac{y_2 - y_1}{x_2 - x_1} [/tex].

Let,

[tex] (-3, 3.6) = (x_1, y_1) [/tex]

[tex] (5, 2) = (x_2, y_2) [/tex]

Rate of change = [tex] \frac{2 - 3.6}{5 - (-3)} [/tex]

[tex] = \frac{-1.6}{8} [/tex]

[tex] = -0.2 [/tex]

The rate of change of y with respect to x for this function is -0.2

Given :

The graph of a linear function is shown on the grid

To find the rate of change of y with respect to x , we need to pick two points from the graph

Two points are (-3,3.6)  and (5,2)

Lets apply slope formula to find out rate of change

[tex]slope =\frac{y_2-y_1}{x_2-x_1}\\slope =\frac{2-3.6}{5+3} \\slope = -0.2[/tex]

The rate of change of y with respect to x for this function is -0.2

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Answer:

  no solution

Step-by-step explanation:

Subtract 10y from both sides of the equation:

  10y -10y = 10y -10y -2

  0 = -2 . . . . FALSE

There are no values of y that will make this be true. The given equation has NO SOLUTION.

Answer:

69.75.

I'm just going to type filler text so Brainly accepts it.

Answer:

Step-by-step explanation:

Exact Form:

279/4

Decimal Form:

69.75

Mixed Number Form

69 3/4

Answer:

4/5

Step-by-step explanation:

4/3 ÷ 5/3

Copy dot flip

4/3 * 3/5

Rewriting

4/5 * 3/3

4/5

Answer:

Step-by-step explanation:

The answer is 0.8

Answer:

r = 6.5902%

Step-by-step explanation:

I = Prt

since the time is in days, it needs to be converted to years.

t = 155/365 = 0.424658

115.58 = (4130) r (0.424658)

115.58 = 1753.8045 r

115.58/1753.8054 = r

0.065902 = r

then, converting  r decimal to a percentage

r = 0.065902 x 100 = 6.5902 %

Answer:

700,000

Step-by-step explanation:

you need to look at the ten thousands and look at the number if it is past 5 you round up.

Answer:

yes

Step-by-step explanation:

ur welcome

brainliest pls

xd

Answer:

A=82

b=71

c=71

d=54

e=44

f=109

g=73

Answer:

1.917

Step-by-step explanation:

The difference between 4.091 and 2.174 will be;

⇒ 1.917

Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.

Given that;

The numbers are,

⇒ 4.091 and 2.174

Now,

Since, The numbers are,

⇒ 4.091 and 2.174

Hence, The difference the number 4.091 and 2.174 is,

⇒ 4.091 - 2.174

⇒ 1.917

Thus, The difference between 4.091 and 2.174 = 1.917

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Answer:

Step-by-step explanation:

Another way to state it is to say that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. If you put the two shortest sides end to end, they have to be longer than the longest side to be able to angle up to form a triangle.

Answer:

3. 3, 5, 7

4. 1.1, 2.2, 3.2

5. 13, 5, 12

7. 5, 4, 3

8. 4, 4, 3

Step-by-step explanation:

In a triangle, the sum of the lengths of any two sides must be greater than the length of the third side.

1. 19, 16, 3

16 + 3 = 19

No triangle

2. 1, 2, 3

1 + 2 = 3

No triangle.

3. 3, 5, 7

3 + 5 = 8 > 7

3 + 7 = 10 > 5

7 + 5 = 12 > 3

Triangle

4. 1.1, 2.2, 3.2

1.1 + 2.2 = 3.3 > 3.2

2.2 + 3.2 = 5.4 > 1.1

1.1 + 3.2 = 4.3 > 2.2

Triangle

5. 13, 5, 12

13 + 5 = 18 >12

5 + 12 = 17 > 13

13 + 12 = 25 > 5

Triangle

6. 1, 7, 8

1 + 7 = 8

No triangle.

7. 5, 4, 3

5 + 4 = 9 > 3

4 + 3 = 7 > 5

5 + 3 = 8 > 4

Triangle.

8. 4, 4, 3

4 + 4 = 8 > 3

4 + 3 = 7 > 4

Triangle.

Answer: 17.4

Step-by-step explanation:

There isn't much to it... it's basic addition.

I guess if you were not using a calculator you would set it up like this:

3.1

+7.4

+6.9

---------

17.4

Answer:

17.4

Step-by-step explanation:

if you estimate all of these you get 3,7, and 7, these(added together) are 17,

Answer:

x = 15

y = 19

Step-by-step explanation:

(5x-5) = (4x+10) reason[ being corresponding angle]

or, 5x-4x = 10+5

or, x = 15.

Similarly,

(5x-5)+(6y-4) = 180 reason[being supplementary angle]

putting the value of x in the equation, so

or, (5*15 -5)+(6y-4) = 180

or, 75-5+6y-4 = 180

or, 66+6y = 180

or, y = 30-11

or, y = 19.

Answer:b

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Because subtraction and addition are alike just how multiplication and division are.

The inverse of f(x) is (x+6)/5, the correct option is A

Suppose that the given function is

[tex]f:X\rightarrow Y[/tex]

Then, if function 'f' is one-to-one and onto function (a needed condition for inverses to exist), then, the inverse of the considered function is

[tex]f^{-1}: Y \rightarrow X[/tex]

such that:

[tex]\forall \: x \in X : f(x) \in Y, \exists \: y \in Y : f^{-1}(y) \in X[/tex]

It simply means, inverse of 'f' is undo operator, that takes back the effect of 'f'

Given;

f(x) = 5x - 6

f^-1 (x ) = x+6/5

Let, y = f(x) and rearrange making x the subject;

y = 5x - 6 ( add 6 to both sides )

y + 6 = 5x ( divide both sides by 5 )

x = (y+6)/5

Change y back into terms of x

x  = (x+6)/5

Therefore, the answer in inverse will be (x+6)/5

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Answer:

-8 is less than k is less than -2

Step-by-step explanation:

I think we are trying to find k

-50 is less than 7k+6 is less than -8

-6                           -6                     -6

-56 is less than 7k is less than -14

-56/7 is less than 7k/7 is less than -14/7

-8 is less than k is less than -2

Hope this helps!

Answer:

Step-by-step explanation:

-50 - 6 < 7k < -8-6

 -56 < 7k < -14

   -8 < k < -2

Answer:

1. Given

2. Similar Lines(given in diagram)

3. Vertical Angles

4. SAS(or Side-Angle-Side)

Step-by-step explanation:

1 is given because that is whats given to you.

2 is Similar Lines because, on the diagram, when a line has a small dash on it and another line has the same dash, this means that they are similar.

3 is Vertical Angle because a vertical angle is an angle that is reflective of another angle and, according to the Vertical Angle Theory, all vertical angles are equal.

4 is SAS because you always go counterclockwise on the triangle when finding the congruent abbreviation and her you can see it is Side(LN=NW), Angle(LNS=WNK), Side(SN=NK).

Answer:

21 brownies

Step-by-step explanation:

Answer:

21 brownies.

Step-by-step explanation:

83 - 62 = 21

So there are 21 brownies left on the plate.

Hope I helped :)

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Answer:

(4p x 4) x 2 = 16p x 2 = 32p

Step-by-step explanation:

The required simplification is (4p⁴)² = 256p⁸.

Some of the rules of exponents are as follows,

The product of two exponents having the same power is equal to the power of their base multiplied.

The product of two exponents having the same base is equal to the sum of the powers of different exponents to the same base.

The given expression is  as below,

(4p⁴)²

Without using the exponents the given expression can be simplified as follows,

The power to any number simply means that the number will be multiplied to itself as many number of times. this basic rule is used to obtain result as,

(4p⁴)²

= (4p × 4p × 4p × 4p)²

= (16p⁴)²

= 16p⁴ × 16p⁴

= 256 × (p × p × p × p × p × p × p × p)

= 256p⁸

Hence, the given expression can be simplified as  256p⁸.

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Answer:

1st im not sure

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