10. Eleanor spent 40% of her money on a $130 outfit. How much money
did she have left?

Answer:

1. 5ft

2. 2ft

3. 2ft

4. 1ft

Step-by-step explanation:

Answer:

(you got it right, not quite sure why it isn't there though!)

Step-by-step explanation:

remember PEMDAS

parentheses first

(8g+5) but we can't add them up since they not like terms

now we go from left to right (since we have Multiplication first and then Addition)

distribute the 4 to the (8g+5)

which makes it 32g +20

now we go back to the equation,

32g +20 + 6

are there any like terms we can combine?

yes, the 20 and the 6

20+6=26

leaving us with

Answer:

[tex]= \frac{-125x^3-1}{x-1}[/tex]

Answer:120 dollars

Step-by-step explanation:

Answer:

x = 1

Step-by-step explanation:

Horizontal asymptotes are the y-values for which a particular function is undefined;

Finding the horizontal asymptote for linear reciprocal function is quite simple;

For this kind of function, where there is no x term in the numerator, the horizontal asymptote is just equivalent to the constant added to the fraction (note: having no added constant is the same as having an added 0);

so:

f(x) = 1/(x - 1) = (1/( - 1 )) + 0

The horizontal asymptote is y = 0 for this function.

If it was F(x) = (1/(x - 1)) + 1, the horizontal asymptote would be  y = 1

hope it help!! :)

Answer:

32, 52

Step-by-step explanation:

84=x+y

x=2y-12

Solving the system of equations

Plug second equation into first

84=(2y-12)+y

84=3y-12

y=32

Plug y into first equation

84=x+32

x=52

Answer:

Step-by-step explanation:

1. b. (2,14)

2. a. (-1,4)

3. c. (-2,2)

Answer:  1. b

               2. a

               3. c

Step-by-step explanation:

We will change the second equation to y form, then we get:

2x - y = - 6

    - y = -2x - 6

      y = 2x + 6

Then we plug in each point to see whether it fixes the equations.

a) 1. y = 3x + 8

      4 ?= 3(-1) + 8

      4 ?= -3 + 8

        4 x 5    

a) 2. y = 2x + 6

      4 ?= 2(-1) + 6

      4 ?= -2 + 6

        4 = 4

Point a is a solution of the second equation, but not a solution for the first equation.

b) 1. y = 3x + 8

   14 ?= 3(2) + 8

   14 ?= 6 + 8

     14 = 14  

b) 2. y = 2x + 6

   14 ?= 2(2) + 6

   14 ?= 4 + 6

     14 x 10  

Point b only fits the first equation, but does not fix (not a solution) of the second equation.

c) 1. y = 3x + 8

 2 ?= 3(-2) + 8

 2  ?= -6 + 8

    2 = 2

c) 2. y = 2x + 6

     2 ?= 2(-2) + 6

     2 ?= - 4 + 6

       2 =  2

Point c fits both the first equations and the second equations.

In the given figure : lines l and m are parallel and a, b are transversal

Since, the lines a and b are parallel and l act as a transversal.

Then,

x = 23

Answer : x = 23

Answer:

B

Step-by-step explanation:

9 - 3 = 6

6 ÷ -2

= -3

I think it's b

Answer:

11200

Step-by-step explanation:

Answer:

1: 75

Step-by-step explanation:

20cm : 15m

Convert meters to cm

1 meter = 100 cm

15m = 15 x 100 = 1500 cm

20cm:1500cm

Divide both sides of the ratio by 20

=> 1 : 1500/20 = 1: 75

The ratio of 20cm to 15m in the form 1:n is 1:75.

A ratio is a mathematical comparison of two or more quantities expressed in terms of the number of times one quantity contains another quantity.

It is used to express the relationship between two or more numbers or variables and is usually written as a fraction or with a colon between the two numbers.

We have,

First, we need to convert both measurements to the same unit.

Let's convert 20cm to meters:

20 cm = 20/100 m = 0.2 m

Now we can express the ratio of 20cm to 15m as:

0.2m : 15m

To simplify this ratio, we can divide both sides by the greatest common factor of the two numbers, which is 0.1m:

0.2m/0.1m : 15m/0.1m

2 : 150

Finally, we can simplify the ratio by dividing both sides by 2:

1 : 75

Therefore,

The ratio of 20cm to 15m in the form 1:n is 1:75.

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To question 16, we see that for every change of plus 2 drinks, they pay an additional value of $2.50. It means that each drink does cost half of this value.

This way, the equation that will give the value of the total cost will be:

Where X stands for the number of drinks, and 1.25 is the value of a single drink.

From the solution presented above, we are able to conclude that the rate of change represents the value of a unitary drink, in the present situation.

The faster driving rate of Goldie is 20 miles/hour.

Given that, by driving 10 miles per hour faster, Goldie was able to have 2 hours and 30 minutes off her 50-mile trip.

The speed formula can be defined as the rate at which an object covers some distance. Speed can be measured as the distance travelled by a body in a given period of time. The SI unit of speed is m/s.

Here, Speed = 10 miles/hour, Time = 2 hours and 30 minutes = 2.5 hours  and Distance = 50 mile.

Now, Distance = Speed × Time

Let the faster driving rate be x.

50 = x × 2.5

⇒ x = 50/2.5

⇒ x = 20 miles/hour

Therefore, the faster driving rate of Goldie is 20 miles/hour.

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Answer:

Step-by-step explanation:

I don't agree with the other answer.

You need to you systems of equations

So

d=50     t=t-2.5       x=r+10

d=rt

50=(r+10)(t-2.5) (faster equation)

50=rt (slower equation)

t=[tex]\frac{50}{r}[/tex]   (substitute into faster equation)

50 = (r+10)(50/r -2.5)                mult both sides by r to get rid of fraction

50r = (r+10)(50-2.5r)                 FOIL

50r = 50r -2.5r² + 500 -25r     Simplify

2.5r²+25r-500=0                      divide all by 2.5

r²+10r-200                                 factor

(r-20)(r+10)                                 eliminate negative answer

r=20

x=r+10  =20+10 =30 mph

Using approximation, the two are the same and she contains enough flour.

The unitary technique entails finding the value by multiplying the single value and then solving the problem using the initial value of a single unit. If an event may take place in m different ways and a second event can take place in n different ways after it, then the two events that follow can take place in m n different ways.

Given that Karina buys a small bag of flour that has 2 2/3 cups of flour. The recipe calls for 2 5/7 cups of flour.

1) 2 2/3  cups of flour.

= ((2 × 3)+2)/3

= 2.666

Therefore, she get 2.666

2)  2 5/7 cups of flour.

= ((2 × 7) + 5)/7

= 2.714

Therefore, she get 2.714

Using approximation, the two are the same and she has enough flour.

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If a bouncy ball is dropped such that the height of its first bounce is 3.75 feet and each successive bounce is 79% of the previous bounce's height. The height of the 7th bounce of the ball is 0.7.

Given data:

First bounce = 3.75 feet

Successive bounce = 79% or 0.79%

Bounce = 7

Now let determine the height of thee 7th bounce of the ball using this formula

Height =  First bounce  × (Successive bounce) ^ Number of bounce

Let plug in the formula

Height = 3.75 × (0.79 ) ^7

Height  = 0.7

Therefore the height is 0.7.

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Answer:  1 1/2x−1 3/4

Step-by-step explanation: i took the test on k12

The simplified form of the given expression is option c 1 1/2x - 1 3/4

Given,

The expression; 1/4 (3x - 7) + 3/4x

We have to simplify this expression;

Simplification of expressions;

To simplify a phrase, create an equivalent expression without any terms that are identical. The expression will then be rewritten using the fewest terms feasible.

Then,

1/4 (3x - 7) + 3/4x

= 1/4 × 3x - 1/4 × 7 + 3/4x

= 3/4x - 7/4x + 3/4x

= 6x/4 - 7/4

= 3x/2 - 7/4

= 1 1/2x - 1 3/4

Therefore,

The simplified form of the given expression is option c 1 1/2x - 1 3/4

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Answer:

Given:

Model : Ship = 3 : 400

The surface area of the model = 7200 cm²

To Find:

The surface area of the actual ship in m²

Let's start with the map scale given:

Model : Ship = 3 : 400

We start by adding in a unit. Usually, we choose the units associated with the model:

Model : Ship = 3 cm : 400 cm

Now, according to tot the question, we know that the actual ship is in m:

Model : Ship = 3 cm : 400 ÷ 100 m

Model : Ship = 3 cm : 4 m

The question asked for surface area, so the units have to be in squares:

Model : Ship = (3 cm)² : (4 m)

Model : Ship = 9 cm² : 16 m²

Now, that we have the units set correctly according to the question requirement, we will find 1 branch of the model:

Model : Ship = 9 cm² : 16 m²

Model : Ship = 9÷9 cm² : 16÷9 m²

Model : Ship = 1 cm² : 16/9 m²

Finally, we can find the required units by multiplying both sides with the required units:

Model : Ship = 1 cm² : 16/9 m²

Model : Ship = 1 x 7200 cm² : 16/9 x 7200 m²

Model : Ship = 7200 cm² : 12800 m²

Answer: The surface area of the ship is 12800 m²

(by the way, this was copied from the same website)

hope this helps :)

The rational equation is simplified to  x² - 17x = 0

An algebraic expression can simply be defined as an expression composed of factors, variables, terms, coefficients and constants.

These expression are also described as expressions consisting of arithmetic operations such as;

Given the expression;

1/2 - 7/2x = 5/x

find the lowest common multiple

x - 7 /2x = 5/ x

cross multiply

x(x - 7) = 5(2x)

multiply through

x² - 7x = 10x

collect like terms

x² = 10x + 7x

x² - 17x = 0

Hence, the equation is x² - 17x = 0

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The simplest form of the expression as we have it is; (-4x^4z^2)(2xy^3z^2)

When we are asked to simplify, what we are asked to do is to write the expression that we have in a form that is simplest. That is, we should put the expression in a form that there would not be any simpler presentation of the expression.

We have;

(-2x^2z)^2(2xy^3z^2)

Then we now have to deal with the exponent outside the bracket;

(-4x^4z^2)(2xy^3z^2)

Thus, we now have the expression in the simplest form that it can take and it can not be further broken down.

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Answer:

1st one- 4

2nd one- 1

3rd one- 5

4th one-6

5th one-3

6th one-2

Answer: 14/27

Step-by-step explanation:

Step-by-step explanation:

the triangles are congruent out at least similar, so both have the same angles.

therefore,

2x = 80

x = 40

The graph of the equation -4x = -60 is shown below.

A vertical line is expressed as the equation, x = b. Here, the variable "b" is the point on the x-axis where the line intercepts the horizontal axis.

Thus, to plot the graph for a vertical line with the equation, x = b, we would simply draw a vertical line that crosses the x-axis at point b.

Given the equation, -4x = -60, rewrite the equation in the form x = b, to determine the value of b:

-4x/-4 = -60/-4 [division property of equality]

x = 15

This means that the graph of the equation, -4x = -60, would be a graph that has a vertical line that crosses the x-axis at 15.

the graph is shown below.

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The hyperbola has a center of (2, -3)

The equation of the hyperbola is given as

(y + 3)²/9 − (x − 2)²/2 = 1

A hyperbola is generally represented as

(y - k)²/a² − (x − h)²/b² = 1

Where the coordinates of the center of the hyperbola is

Center = (h, k)

Next, we compare (y - k)²/a² − (x − h)²/b² = 1 and (y + 3)²/9 − (x − 2)²/2 = 1

From the comparison, we have

(h, k) = (2, -3)

This means that the center is (2, -3)

Hence, the coordinates of the center is (2, -3)

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Answer:

Umm 20 dollars?

Step-by-step explanation:

The building is 5.88 units tall.

It is given that the ball is dropped from a tall building.

The formula in the box relates the distance in meters "d" fallen to the time in seconds "t".

The formula is given below :

d = 4.9*t

The ball falls for a total of 1.2 seconds before hitting the ground.

The ball will travel a distance in the time interval from when the ball is dropped until it hits the ground.

The time for which the ball travels the distance is 1.2 seconds.

The distance travelled by the ball is :

d = 4.9*t

d = 4.9*1.2

d = 5.88

Hence, the ball travels a distance of 5.88 after it is dropped from the top of the building and before hitting the ground.

The height of the building is equal to the distance calculated.

The height of the building is 5.88.

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In this problem, we have a continuous exponential growth model

so

the equation is of the form

where

a is the initial value ------> a=2,100

y is the number of bacteria

x ----> number of hours

so

For x=2.5 hours, y=2,249 bacteria

substitute

solve for k

apply ln both sides

k=0.0274

convert to percentage