Am I doing this right? The question is... At the first store Arlene visited, she spent 40% of her money plus $4. At the second store she spent 50% of her remaining money plus $5. At the third store Arlene spent 60% of her remaining money plus $6. When Arlene finished shopping at the three stores, she had $2 left over. How many dollars did she have when she started shopping?

My equation was x - 2 = ((0.4x+4)0.5+5)0.6+6. Both sides of the equation were to find how much she spent. I got 13.86363...

Answer:

0.0478

Step-by-step explanation:

We solve using z score formula

z = (x-μ)/σ, where

x is the raw score = 135 mm

μ is the population mean = 130 mm

σ is the population standard deviation.

We are given variance = 9

Standard deviation = √variance = √9 = 3

Hence

z = 135 - 130/3

z = 1.66667

Probability value from Z-Table:

P(x<135) = 0.95221

P(x>135) = 1 - P(x<135) = 0.04779

Approximately to 4decimal places = 0.0478

========================================================

Explanation:

The old dimensions of the rectangle were 30 by 15.

The new dimensions are 30+x by 15+x, where x is some positive number.

The new rectangle dimensions multiply to 1000

(30+x)(15+x) = 1000

Use the FOIL rule to expand out the left side like so

(30+x)(15+x) = 1000

450+30x+15x+x^2 = 1000

450+45x+x^2 = 1000

x^2+45x+450

Then lets get everything to one side

x^2+45x+450 = 1000

x^2+45x+450-1000 = 0

x^2+45x-550 = 0

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

From here we use the quadratic formula

Plug in a = 1, b = 45, and c = -550.

[tex]x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(45)\pm\sqrt{(45)^2-4(1)(-550)}}{2(1)}\\\\x = \frac{-45\pm\sqrt{4225}}{2}\\\\[/tex]

[tex]x = \frac{-45\pm65}{2}\\\\x = \frac{-45+65}{2} \ \text{ or } \ x = \frac{-45-65}{2}\\\\x = \frac{20}{2} \ \text{ or } \ x = \frac{-110}{2}\\\\x = 10 \ \text{ or } \ x = -55\\\\[/tex]

Earlier we defined x to be a positive number. This means we ignore x = -55. It makes no sense to add on a negative amount to each dimension.

The only practical answer is x = 10.

So each dimension is increased by 10 feet.

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

If x = 10, then the old dimensions of 30 by 15 bump up to 30+10 = 40 by 15+10 = 25

Then note how 40*25 = 1000, which helps confirm we have the correct dimensions.

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

Now go back to the question at hand: we want to find the new width. The old width was 30 feet. The new width is 30+x = 30+10 = 40 feet

Step-by-step explanation:

14) g(x)= x + 3 - 1

= x + 2

15) g(x)= x - 2 + 5

= x + 3

Answer:

the answer is c aka (2.4)(–1.8) and (0.6)(–0.4)

Step-by-step explanation: i got it right on the test edge 2021

Answer:

Step-by-step explanation:

It’s 88

By undestanding the theory behind rational functions and functional theory, we conclude that the function have:

Domain: (- ∞, - 3) ∪ (- 3, + ∞)

Range: (- ∞, 0) ∪ (0, + ∞)

In this question we have a rational function and we must determine its domain and range, whose elements exist if and only if the denominator evaluated at respective point is distinct of zero. Graphically speaking, the domain of the function represents the set of x-values, whereas the range represents the set of y-values.

By a graphing tool (i.e. Desmos) we construct the rational function and derive the following conclusions:

Domain: (- ∞, - 3) ∪ (- 3, + ∞)

Range: (- ∞, 0) ∪ (0, + ∞)

By undestanding the theory behind rational functions and functional theory, we conclude that the function have:

Domain: (- ∞, - 3) ∪ (- 3, + ∞)

Range: (- ∞, 0) ∪ (0, + ∞)

To learn more on rational functions: https://brainly.com/question/27914791

#SPJ1

Answer:

Range: (negative infinity, 0) U (0, 1/9) U (1/9, infinity)

Domain: (negative infinity, -3) U (-3, 6) U (6, infinity)

Step-by-step explanation:

100% on the test

Answer:

$109.96

Step-by-step explanation:

Using the data from the table we need to add all of the transaction amounts together in order to calculate the final balance amount at the end of the first month since all of the transactions listed in the table are from the same month. (negative values cancel out the addition and instead subtract from the total)

100 + (-12.25) + 25.82 + 14.95 + (-18.56) = 109.96

Assuming that the initial account balance at the beginning of the month was $0 then the account balance at the end of the month would be $109.96

Answer:

y=1/2x

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form y/x=k or kx

The value of the constant k is equal to the value of the slope m

In this problem we have the point (8,4)

Find the value of k

y/x=k------> substitute the value of x and y

4/8=k

k=1/2

The equation is equal to

y=1/2x

Answer:

f(x) = [tex]\frac{-h(x) + 7}{4}[/tex]

Step-by-step explanation:

h(x) is defined by the formula,

h(x) = -4f(x) + 7

If the graph attached is of the function 'h' and we have to find the function 'f',

h(x) - 7 = -4f(x)

4.f(x) = -h(x) + 7

f(x) = [tex]\frac{-h(x) + 7}{4}[/tex]

Therefore, function 'f' will be defined by,

f(x) = [tex]\frac{-h(x) + 7}{4}[/tex]

Answer:

p= 2r/m^2

Step-by-step explanation:

Answer and Step-by-step explanation:

The word, "Consecutive" means, "Back-to-back" or "One after the other." Therefore, consider these integers:

1, 2, 3, 4, 5, 6, 7, 8, . . .

If we write down these integers in such a way that only even integers follow back-to-back, we have:

2, 4, 6, 8, . . .

If we write down these integers in such a way that only odd integers follow back-to-back, we have:

1, 3, 5, 7, . . .

Since 2, 4, 6, 8, . . . Are all even integers that follow back-to-back, then this is known of consecutive even integers.

Since 1, 3, 5, 7, . . . Are all odd integers that follow back-to-back, then this is known of consecutive odd integers.

Answer:

x = 2

Step-by-step explanation:

It is given that,

U is the midpoint of TV.

TU = x² + 2x – 2

UV = -x+8

We need to find a positive value of x.

For midpoint,

TU  = UV

Putting values,

x² + 2x – 2 = -x+8

or

x² + 2x – 2+ x - 8= 0

x² +3x-10 = 0

x² +5x - 2x -10 = 0

x(x+5) -2(x+5) = 0

(x-2) (x+5) = 0

x = +2 and x = -5

Hence, the positive value of x is 2.

Answer:

3.5 cm

Step-by-step explanation:

The computation of the approximate length of minor arc JH is as follows

As in the attached picture we can see that circle M is shown also the minor arc measures 25 degrees

Now the circle length is

= π × 16

= 50.26 cm.

Now this length would be proportional to 360 degrees

Let us assume the minor length arc JH be x

So, the equation would be

50.26 cm ÷  x cm = 360° ÷ 25°

x = 50.26 × 25 ÷ 360

x = 3.5 cm

Answer:

A. 3.5 cm

Step-by-step explanation:

In the picture attached, circle M is shown.

From the picture, minor arc JH measures 25°.

The length of the circle is π*Diameter = π*16 = 50.26 cm. This length is proportional to 360°. To find the length of minor arc JH, we have to use the next proportion:

50.26 cm / x cm = 360° / 25°

x = 50.26*25/360

x = 3.5 cm

Answer:

29

Step-by-step explanation:

I subtracted 65 from 36 since the question only gave me 2 numbers and a variable to use.

Step-by-step explanation:

c = 65 - 36

c = 29

C is 29 that is the answer

Answer:

A=1

Step-by-step explanation:

7(5a-4)-1=14-8a

35a-28-1=14-8a

35a-29=14-8a

43a-29=14

43a=43

a=1

Answer:

41/43

Step-by-step explanation:

7(5a - 4) - 1 = 14 - 8a

35a - 28 - 1 = 14 - 8a

35a - 27 = 14 - 8a

35a + 8a = 14 + 27

43a = 41

a = 41/43

Hope this answer helps you

Answer:

0.1875

Step-by-step explanation:

3/4/6(2/3)

3/4/12/3

3/4/4

0.75/4

=0.1875

from Keith as Joaquin.

solve.

Answer:

r=√(3v)/(xh)

Step-by-step explanation:

the volume of a cone is given as

v= 1/3 xr^2 h. Then we need the radius, r, of the cone

v= 1/3 xr^2 h

Let us cross multiply we have

3v= xr^2h

Make r^2 subject of the formula we have

r^2= 3v/xh

Find the square root of bother sides we have

r=√(3v)/(xh)

the radius, r, of the cone can be expressed as r=√(3v)/(xh)

Answer:

I might be wrong but I think it is A

Answer:

The correct expression for this would be:

4g + 2c = 300

Step-by-step explanation:

Since the console costs 300 for buying 4 games and 2 controllers, let's represent 4 games with 4g and 2 controllers with 2c.

This means 4g and 2c gives 300. Mathematical, this is written as

4g + 2c = 300

Answer:

simple

Step-by-step explanation:

-12r+8-2r+2

-14r-10

Answer:

The question makes no sense in my opinion