A family spent 35% of its annual budget on a trip to Australia .What fraction in simplest form of the family was spent on the trip to australia?

Answer:

a = 62.5

b = 40

c =62.5

d = 70

Note that [tex]\displaystyle \Big (\frac{9}{4} \Big )^{1/2}[/tex] is the same as [tex]\sqrt{\frac{9}{4}}=\frac{\sqrt{9}}{\sqrt{4}}=\frac{3}{2}[/tex].

Hope this helps.

Answer:

a= 14^2 or 196

b= 48^2 or 2304

c= 50^2 or 2500

Step-by-step explanation:

Answer: I think the greatest common factor is 4x^2

Step-by-step explanation:

Find the numerical common factors. Which are 8, -12, and 20. Find the variable common factors for x^4, x^3, and x^2. Multiply them together. Then break down the factors on both sides and pick the biggest one. Finally multiply them together. (I’m sorry, I’m very bad at explaining things.)

Answer:

The answer is B

Step-by-step explanation:

The preceding two stages are development stage and startup stage. In growth stage one should first focus on fine tuning the business model and by finding ways for operational inefficiencies. Dale has actually already identified the inefficiency which is new machines and non being able to cater to some customers due to lack of machines. In this exact stage businessman try to grow the business by analyzing the main profit drivers and the finding ways to grow the profit driver with less cost

Answer:

7.8^5

Step-by-step explanation:

Answer:

x= -6

y= -5

Step-by-step explanation:

(x,y) = (-6, -5)

Answer:

(-6,-5)

x=-6

y=-5

Step-by-step explanation:

9x-7y=-19

5x-3y=-15

When solving with elimination, you multiply both equations by a number to get two terms to cancel each other out.

We can try to get the y's to cancel out. The LCD of 7 and 3 is 21, so we multiply one equation by 3 and another by -7 (to get one -21y and one 21y)

{9x-7y=-19}*3=

27x-21y=-57

{5x-3y=-15}*(-7)=

-35x+21y=105

Now, we combine the two equations.

27x-21y=-57

-35x+21y=105

-8x=48

Now, solve for x.

-8x=48

x=-6

Now we can plug x into one of the original equations to get y.

I will use 9x-7y=-19.

9(-6)-7y=-19

-54-7y=-19

Add 54 to both sides.

-7y=35

y=-5

We can put these values into an ordered pair: (-6,-5).

Answer:

Step-by-step explanation:

Paul receives 3x; Helen receives 4x.

4x = £20

x = £5

Paul receives £15

Answer:

Disect the shape

Step-by-step explanation:

6 x 10 x 18 ÷ 2 = (Answer)

Answer:

The one the left Will most likely land on 5,6, and 1 and less likely to land on 2,3,and 4 and the one on the right you are more likely to land on all equally

Step-by-step explanation:

Answer:

5.16

Step-by-step explanation:

We multiply the number of weeks by the number of days to find the total amount of days that she ran:

5 weeks × 3 days/week = 15 days

We are looking for the amount of miles/day (which represents the number of miles per day).

So, we take [tex]\frac{77.4miles}{15days}[/tex]= 5.16 miles/day

Answer:

Horizontal Asymptote → y = 17

Step-by-step explanation:

Given function is f(x) = [tex]\frac{2}{5}(16)^{x+13}+17[/tex]

Here, the parent function is g(x) = [tex]\frac{2}{5}(16)^x[/tex]

Parent function has a horizontal asymptote as y = 0

If the function g(x) is shifted 13 units left and 17 units up, new function will be f(x) = [tex]\frac{2}{5}(16)^{x+13}+17[/tex]

When the parent function is shifted 17 units up, horizontal asymptote shifts 17 units upwards.

Therefore, horizontal asymptote of the image function becomes y = 17.

Answer:\

1) 5x ( 2x + y)

2) 3y(5x+ y)

3) 7y(2x^2y +1)

I hope im right!!

Answer:

5 1/4

Step-by-step explanation:

If each canvas takes up 4 oz of paint then you should take 21 and divide it by 4 to get the answer. Erven can only paint 5 full canvases and 1/4 of another canvas.

Answer:

if you're looking for the cost per pound its 1.3 because 20 divided by 14.99 is 1.3 :)

Answer:

-390 is your answer

Answer:

Step-by-step explanation:

PEDMAS - Parenthesis , Exponents ,  Division, Multiplication , Addition and subtraction.

(-9 - 6 *5) *10 = (-9 - 30) *10

                     = -39 *10

                     = -390

Answer:

See answers below

Step-by-step explanation:

Given that sin theta = √3/√7

Opposite =√3

Hypotenuse = √7

Get the adjacent

Adj² = (√7)²-(√3)²

Adj² = 7-3

Adj² = 4

Adj = √4

Adj = 2

Cos theta = adj/hyp = 2/√7

csc theta= 1/sin theta = 1/(√3/√7) =

√7/√3

sec theta= 1/costheta = 1/(2/√7) = √7/2

tan theta= opp./adj = √3/2

cot theta =1/tan theta = 1/(√3/2) = 2/√3

= 2√3/3

Answer:

A. 0, - 9

Step-by-step explanation:

Given

x² + 9x = 0

x (x + 9 ) = 0

Either

x = 0

or,

x + 9 = 0

x = - 9

Hope it will help :)

The values of x that satisfy the equation x² + 9x = 0 are x = 0 and x = -9.

Option A is the correct answer.

An equation contains one or more terms with variables connected by an equal sign.

Example:

2x + 4y = 9 is an equation.

2x = 8 is an equation.

We have,

x² + 9x = 0

To solve for x, we can factor the expression:

x(x + 9) = 0

According to the zero product property, this equation is satisfied if either x = 0 or x + 9 = 0.

We have two solutions:

x = 0 or x = -9

Therefore,

The values of x that satisfy the equation x² + 9x = 0 are x = 0 and x = -9.

Learn more about equations here:

https://brainly.com/question/17194269

#SPJ7

Answer:

(-2, 3)

Step-by-step explanation:

I believe (-2, 3)

Answer:

Step-by-step explanation:

5

,

8

,

11

,

14

,

17

This is an arithmetic sequence since there is a common difference between each term. In this case, adding

3

to the previous term in the sequence gives the next term. In other words,

a

n

=

a

1

+

d

(

n

−

1

)

.

Arithmetic Sequence:  

d

=

3

This is the formula of an arithmetic sequence.

a

n

=

a

1

+

d

(

n

−

1

)

Substitute in the values of

a

1

=

5

and

d

=

3

.

a

n

=

5

+

(

3

)

(

n

−

1

)

Simplify each term.

Answer:

x = 18

Step-by-step explanation:

you set the 2 equations equal to eachother

you minus x on both sides to get x on one side

than find the answer

Answer:  Like terms are combined together in algebraic expression so that the result of the expression can be calculated with ease. For example, 7xy + 6y + 6xy is an algebraic equation who's like terms are 7xy and 6xy. Therefore, this expression can be simplified by combining like terms as 7xy + 6xy + 6y = 13xy + y.

Step-by-step explanation:

Answer:

If in a equation there are numbers that have the same letters you can just add them or subtract them depending on the signs.

Step-by-step explanation:

For example this equation:

2x + 7b - 7x + 9b + 1a - 22a

So you just put them in different categories(Remember to bring them with the sign that's in front of each number) after that you just add or subtract them

category x(only numbers that have x's go here):     +2x-7x  = -5x

category b (only numbers that have b's go here):    +7b+9b = +16b

category a (only numbers that have a go here):       +1s-22b = -21a

now just put them in the same equation:

-5x+16-21a

and done!^^

Hope this example helped~

Answer:

(-1,-2)

Step-by-step explanation:

Think of the line y=x as a mirror.  The image of the point (1,2) is obtained by drawing a line through (1,2) perpendicular to the line y=x and finding the point on the perpendicular line that is equal distance from the line y=x but on the other side. This gets you to the point (2,1).

Similarly, from (2,1) find the mirror image using the line y=-x as the mirror. You travel diagonally 1.5 diagonal squares to reach y=-x and then continue another 1.5 diagonals to reach (-1,-2) which is your answer.

Answer:

0.02826855123 or 35.37

Step-by-step explanation:

24/849 = 0.02826855123

849/24 = 35.37