The number that is 75% of one less than a number n.

Answer:

[tex]\frac{2}{3}[/tex]

Step-by-step explanation:

If we have 3 red spaces, 5 white spaces, and one blank space, there are a total of 9 spaces.

Since there are 3 red spaces, there is a [tex]\frac{3}{9} = \frac{1}{3}[/tex] chance of getting a red. However, the question asks the probability of not getting a red, so the chances of not getting a red are [tex]1 -\frac{1}{3} = \frac{2}{3}[/tex].

Hope this helped!

i just did the test....^

The minimum realized income is $2,965.12 per month.

Lenders typically use the debt-to-income ratio to assess a borrower's ability to repay a mortgage loan.

The debt-to-income ratio = borrower's total monthly debt payments ÷ gross monthly income.

We have,

To determine the minimum realized income per month we need to consider the debt-to-income ratio.

Lenders typically require a debt-to-income ratio of 43% or less.

So,

Assuming a debt-to-income ratio of 43%.

The minimum realized income per month.

= 1,275 / 43%

= 1275 / 0.43

= 2,965.12

Therefore,

The minimum realized income per month required to afford a mortgage payment of $1,275.00, assuming a debt-to-income ratio of 43%, is approximately $2,965.12 per month.

Learn more about debt to income ratio here:

https://brainly.com/question/20901566

#SPJ5

Answer:

Step-by-step explanation:

(x-4) (x+10)  ⇒ (x+a)(x+b)=x²+(a+b)x+ab

a=-4 , b=10

x²+(-4+10)x+-4(10)

x²+6x-40

(3x+4) (3x +5)

3(x+4/3) *3(x+5/3)  ⇒ identity : (x+a)(x+b)=x²+(a+b)x+ab  

a=4/3    b=5/3

3*3=9

9[x²+(4/3 +5/3)x+4/3(5/3)]

9[x²+9/3 x+20/9]

9x²+27x+20

(-3a +5b +4c)^2  ⇒  

suitable identity is (a+b+c)²= a² + b² + c² + 2ab + 2bc + 2ca

a=-3a , b=5b , c=4c

9a²+25b²+16c²- 30ab +40bc - 24ca

Answer:

  x = 1/2 or 2

Step-by-step explanation:

You can factor this as ...

  2x^2 -4x -x +2 = 0 . . . rewrite the middle term to enable factoring

  2x(x -2) -1(x -2) = 0 . . . . factor by grouping

  (2x -1)(x -2) = 0 . . . . factor out (x -2)

  x = 1/2, 2 . . . . . . values of x that make the factors zero

Hello!

Answer:

[tex]\huge\boxed{59.04 units}[/tex]

To solve, we will need to use Right-Triangle Trigonometry:

Begin by solving for angles ∠S and ∠R using tangent (tan = opp/adj)

tan ∠S = a / (1/2b)

tan ∠S = 3√5 / 14

tan ∠S ≈ 0.479

arctan 0.479  = m∠S (inverse)

m∠S and m∠R ≈ 25.6°

Use cosine to solve for the hypotenuse, or the missing side-length:

cos ∠S = 14 / x

x · cos (25.6) = 14

x  = 14 / cos(25.6)

x ≈ 15.52

Both triangles are congruent, so we can go ahead and find the perimeter of the figure:

RS + RQ + QS = 28 + 15.52 + 15.52 = 59.04 units.

Hope this helped you! :)

Answer:

[tex]\large \boxed{\mathrm{59.05 \ units}}[/tex]

Step-by-step explanation:

Take one small triangle, solve for hypotenuse.

[tex]\frac{b}{2} =\frac{28}{2} =14[/tex]

Use Pythagorean theorem.

[tex]c=\sqrt{(3\sqrt{5})^2 +14^2 }[/tex]

[tex]c= 15.524175...[/tex]

Add the hypotenuse twice because there are two triangles, then add to the length of b to find the perimeter.

[tex]15.524175...+15.524175...+28[/tex]

[tex]59.048349...[/tex]

Answer:

54

Step-by-step explanation

You can't find the other sides, it may seem impossible, but you have to look at this problem in a different way. To find the perimeter of any figure you just need to know the top base, bottom base, right side, and left side.

We see that the top base equals to the bottom base as it is a rectilinear figure. You have to treat the side with 8 and side with 5 as one base. So they equal 13. Now do the same for the bottom.

So, 13 + 13 = 26

The right side is equal to the left side as it is a rectilinear figure, so the right side is 4 + 10 = 14. The left side is also 14.

So 14 + 14 = 28

26 + 28 = 54 units

Sorry, if I couldn't explain properly. I tried my best. As it is hard for me to explain in words. If I could draw it out, I could do better.

Answer:

45

Step-by-step explanation:

I broke the sections apart and then added:

14+14=28

13+13=26

26+28=54

Answer: [tex]243/5[/tex]

[tex]3^2/3(3^4)/5\\=9/3(3^4)/5\\=3(3^4)/5\\=(3)(81)/5\\=243/5[/tex]

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

Explanation:

19 = h/3 - 8

19+8 = h/3 - 8+8  .... see note 1

27 = h/3

h/3 = 27

3*(h/3) = 3*27 .... see note 2

h = 81

----------

Answer:

The time it takes the rock to reach the canyon floor is approximately 4 seconds.

Step-by-step explanation:

The equation representing the height h (in feet) of an object t seconds after it is dropped is:

[tex]h=-16t^{2}+h_{0}[/tex]

Here, h₀ is the initial height of the object.

It is provided that a small rock dislodges from a ledge that is 255 ft above a canyon floor.

That is, h₀ = 255 ft.

So, when the rock to reaches the canyon floor the final height will be, h = 0.

Compute the time it takes the rock to reach the canyon floor as follows:

[tex]h=-16t^{2}+h_{0}[/tex]

[tex]0=-16t^{2}+255\\\\16t^{2}=255\\\\t^{2}=\frac{255}{16}\\\\t^{2}=15.9375\\\\t=\sqrt{15.9375}\\\\t=3.99218\\\\t\approx 4[/tex]

Thus, the time it takes the rock to reach the canyon floor is approximately 4 seconds.

Answer:

t=4

Step-by-step explanation:

ed2020

Answer:

The correct option is;

f(x) = -2·x² + 5·x - 1

Step-by-step explanation:

Given the points

(-1, -8), (0, -1), (1, 2), we have;

The general quadratic function;

f(x) = a·x² + b·x + c

From the given points, when x = -1, y = -8, which gives

-8 = a·(-1)² + b·(-1) + c = a - b + c

-8 =  a - b + c.....................................(1)

When x = 0, y = -1, which gives;

-1 = a·0² + b·0 + c = c

c = -1.....................................................(2)

When x = 1, y = 2, which gives;

2 = a·1² + b·1 + c = a + b + c...............(3)

Adding equation (1) to (3), gives;

-8 + 2 = a - b + c + a + b + c

-6 = 2·a + 2·c

From equation (2), c = -1, therefore;

-6 = 2·a + 2×(-1)

-2·a  = 2×(-1)+6 = -2 + 6 = 4

-2·a = 4

a = 4/-2 = -2

a = -2

From equation (1), we have;

-8 =  a - b + c = -2 - b - 1 = -3 - b

-8 + 3 = -b

-5 = -b

b = 5

The equation is therefore;

f(x) = -2·x² + 5·x - 1

The correct option is f(x) = -2·x² + 5·x - 1.

Answer:x=45

Step-by-step explanation:

Answer:

10,12

Step-by-step explanation:

let the two numbers be x and y

difference between x and y is 2

but y is ½x + 4

x -(½x+4) = 2

x - ½x - 4 = 2

½x = 6

x = 12

y = ½x + 4

y = 10

Answer:

Line S

Step-by-step explanation:

Answer:

line s

Step-by-step explanation:

coz if you extend both the line (line r and line s )

they will not intersect at any point...

plz let me know if it was helpful to you dude!

Answer:

358.125

Step-by-step explanation:

Answer:

358 3/24

Step-by-step explanation:  

[tex]\text{Solve for y:}\\\\-4.1=8(y-5)\\\\\text{Use the distributive property}\\\\-4.1=8y-40\\\\\text{Add 40 to both sides}\\\\35.9=8y\\\\\text{Divide by 8}\\\\\boxed{4.4875=y}\\\\[/tex]

Answer:

we need more information

Step-by-step explanation:

Answer:

10x -24 ft^2

Step-by-step explanation:

The area of the square is x^2

The area of the flower garden is lw

( x-4) ( x-6)

x^2 -6x-4x +24

x^2 -10x +24

Subtract the flower garden from the square to find the area of the patio

x^2 - ( x^2 -10x +24)

Distribute the minus sign

x^2 -x^2 +10x -24

10x -24

Answer:

c. 10x -24 sq. ft

Step-by-step explanation:

area of lot = x * x

area of garden = (x-4)(x-6) = x^2-10x+24

Area of patio

= area of lot - area of patio

= x^2 -(x^2-10x+24)

= 10x-24 sq.ft

Answer:

The answer to your question is given below.

Step-by-step explanation:

1. f(x) = 5x + 1

x = – 5

f(x) = 5x + 1

f(–5) = 5(–5) + 1

f(–5) = –25 + 1

f(–5) = –24

2. f(x) = 5x + 1

x = – 1

f(x) = 5x + 1

f(–1) = 5(–1) + 1

f(–1) = –5 + 1

f(–1) = – 4

3. f(x) = 5x + 1

x = 1

f(x) = 5x + 1

f(1) = 5(1) + 1

f(1) = 5 + 1

f(1) = 6

4. f(x) = 5x + 1

x = 2

f(x) = 5x + 1

f(2) = 5(2) + 1

f(2) = 10 + 1

f(2) = 11

5. f(x) = 5x + 1

x = 2

f(x) = 5x + 1

f(3) = 5(3) + 1

f(3) = 15 + 1

f(3) = 16

Summary

x >>>>>>>> f(x)

–5 >>>>>> – 24

–1 >>>>>> – 4

1 >>>>>>>> 6

2 >>>>>>> 11

3 >>>>>>> 16

Answer:

The watered area is approximately 3783 square feet.

Step-by-step explanation:

The area that is watered due to the rotation of the spankler is a circular section area ([tex]A[/tex]), whose formula is:

[tex]A = \frac{\theta }{2}\times \frac{1}{360^{\circ}}\times 2\pi \times d^{2}[/tex]

Where:

[tex]d[/tex] - Water distance, measured in feet.

[tex]\theta[/tex] - Rotation angle, measured in sexagesimal degrees.

Given that [tex]d = 85\,ft[/tex] and [tex]\theta = 60^{\circ}[/tex], the watered area is:

[tex]A = \frac{60^{\circ}}{2} \times \frac{1}{360^{\circ}}\times 2\pi \times (85\,ft)^{2}[/tex]

[tex]A \approx 3783\,ft^{2}[/tex]

The watered area is approximately 3783 square feet.

Answer:176

Step-by-step explanation:

6 times 29.33333333333333

Answer:

Range : { -5,1,7}

Step-by-step explanation:

Take the values in the domain and substitute into the equation

x = -3

y = -2(-3) +1 = 6+1 =7

x = 0

y = -2(0) +1 = 0+1 =1

x = 3

y = -2(3) +1 = -6+1 =-5

The range is the y values

We put then in order from smallest to largest

Range : { -5,1,7}

Answer:

35:40 = 7:8 is the equivalent ratio.

Step-by-step explanation:

35 / 5 = 7

40 / 5 = 8

=

7:8

Answer:

the equivalent ratio is 35:40 = 7:8

Step-by-step explanation:

35 divided by 5= 7

40 divided by 5= 8

=7:8

Answer:

8

Step-by-step explanation:

gcf

Answer:

  2

Step-by-step explanation:

The series is a geometric series with a common ratio (r) of 1/2 and a first term (a1) of 1/2^0 = 1. The sum of such a series is given by ...

  S = a1/(1 -r) 1/(1 -1/2) = 2

The sum of the series is 2.

Answer:

12

563 - (563x0.25) = 422.25 -> 422

16

422 -(422x0.25) = 316.5 -> 317

20

317 - (317x0.25) = 237.75 -> 238

24

238 - (238x0.25) = 178.5 -> 179

28 (continue the step by step process)

134.25 -> 134

32

100.5 -> 101

36

75.75 -> 76

40

57

44

42.75 -> 43

48

32.25 -> 32

52

24

56

18

Step-by-step explanation:

the time interval has to keep skipping by four hours because the medicine is filtered in that amount of time.

The multiplying by 0.25 part must be done first in order to show how much the kidney has filtered.

after this, you need to subtract that from how many milligrams of medicine are left in your system

note that if you do not subtract, you will only be showing how much the kidney has filtered. the question asks for how much is left in the SYSTEM overall, so subtracting is quite necessary to completely answer the question.

I hope this helped.

Answer:

see below

Step-by-step explanation:

x + 3y = 5,

y = –x + 3

Substitute the point into each equation and verify that it is true

x + 3y = 5,  2 +3(1) = 5   5 = 5  true

y = -x +3    1 = -2+3     1=1  true

(2,1) is a solution

Answer:

D,A,A,A,

Step-by-step explanation:

that's the real answer

1d

2a

2a

2a

God bless

Answer:

It will take Machine A 20 additional minutes.

Step-by-step explanation:

First we have get the rate of work per hour, Machine A builds 1/2 of a car per hour, while Machine B builds 1/3 of a car per hour.

Using this we can determine the amount of work that has been done so far in one hour before Machine B broke down:

1/2 + 1/3 = 3/6 + 2/6 = 5/6

Now we can produce an equation accordingly to determine how much time it'll take machine a to finish the job:

5/6 + 1/2x = 1

1/2x = 1/6

x = 1/3 hours = 20 minutes

Note: In the question you typed "how much additional time will it take machine b to finish" but I think you meant machine a because machine b broke down. Please correct me if I'm wrong.

Hope this helps! And let me know if you have any questions!

Answer:

5/w -7

Step-by-step explanation:

quotient means division

5/w

less than means it comes after

5/w -7

Answer:

5/w-7

Step-by-step explanation:

First, let's write out "the quotient of a number 5 and w"

The quotient is the result from dividing two numbers. Therefore, we must divide 5 and w.

5/w

Now, let's add on "7 less than". Since it is "less than" it will come after the division. "Less" means subtract. So, subtract 7 from 5/w.

5/w-7

7 less than the quotient of a number 5 and w as an expression is: 5/w-7

Answer:

B(-5, 1)

Step-by-step explanation:

We can test each value in the equation and see if the equation works out.

[tex]y > |x| - 6[/tex]

Let’s try A - (-1, -5).

[tex]-5 > |-1|-6\\\\-5 > 1-6\\-5>-5[/tex]

-5 is NOT greater than -5, it is equal so A doesn’t work.

Let’s try B, (-5, 1).

[tex]1 > |-5| -6\\1 > 5-6\\1 > -1[/tex]

1 IS greater than -1, so B works.

Let’s try C for fun.

[tex]-1 > |5| -6\\-1 > 5-6\\-1 > -1[/tex]

-1 is NOT greater than -1, it is equal, so it doesn’t work.

Hope this helped!

Answer:

B(-5,1)

Let us simply just write this in all scenarios.

A(-1,-5)

-5>|-1|-6

-5>-5

(False)

B(-5,1)

1>|-5|-6

1>-1

(True)

C(5, -1)

-1>|5|-6

-1>-1

False

Answer:

  55°

Step-by-step explanation:

Perhaps you want the measure of angle B. (There is no "b" in the figure.)

That measure is half the measure of the intercepted arc:

  m∠B = 110°/2 = 55°

Angle B is 55°.