If David walks 1/2 mile in 1/4 hour, then how fast does David walk in one hour? (In other words, what is David's "unit rate"?)

Answer:

The beam should be placed 8 feet from the center.

Step-by-step explanation:

According to the Question,

The struts are y = √(x + 8) and y = √(x − 4).  The struts are 2 feet apart at the location of the beam:

thus, √(x + 8) − √(x − 4) = 2  

on Solving we get,

√(x + 8) = 2 + √(x − 4)

x + 8 = 4 + 4√(x − 4) + x − 4

8 = 4√(x − 4)

2 = √(x − 4)

x − 4 = 4

x = 8

Answer:

C and E

Step-by-step explanation:

Answer:

3 and 5

Step-by-step explanation:

The solution of this problem is in this picture.

Answer:

Step-by-step explanation:

you do part a

Equation 1: 4x+y=2

Equation 2: 3x-3y=9

b

Divide equation 2 by 3

x-y=3

add y to both sides

x=3+y

Sbustitute this into equation 1

4(3+y)=2

12+4y+y=2

5y= -10

y= -2

Plug this into equation 1

4x-2=2

x=1

Part c.

Equation 1: 4x+y=2

Equation 2: 3x-3y=9

divide equation 2 by 3

x-y=3

add the two equations

(x-y)+(4x+y)=2+3

5x=5

x=1

Plug this into equation 1

4(1)+y=2

4+y=2

y= -2

For part a just create a table and graph it

Answer:

The cost of each cavity filling was $ 134.60.

Step-by-step explanation:

Given that the total cost of Anfa's trip to the dentist was $ 628.35, and she paid a flat fee of $ 89.95 which included the checkup: cleaning and then had 4 cavities filled, each of which cost the same amount, to determine which shows the correct equation and value of x, the cost of each cavity filling, the following calculation must be performed:

(628.35 - 89.95) / 4 = X

538.4 / 4 = X

134.6 = X

Therefore, the cost of each cavity filling was $ 134.60.

Answer:

Aaron has no nickels

Step-by-step explanation:

eg

Answer:

x=(6×6)/9=4

just cross multiply and get your answer

Answer:

x=4

Step-by-step explanation:

Step 1

Represent the ratios as fractions

6/9=x/6

Step 2

Cross-multiply the numerators and denominators

9x=6×6

9x=36

9x/9=36/9

Therefore x=4

Answer:

Step-by-step explanation:

Answer I do not know i am not there yet i am sorry

Step-by-step explanation:

:(

Answer:

Step-by-step explanation:

Properties of the similarity of two triangles,

1). Corresponding angles of two triangles should be equal.

2). Corresponding sides of two triangles should be proportional.

By applying second property in the given triangles RTY and CVB,

[tex]\frac{CV}{RT}=\frac{TY}{VB}=\frac{CB}{RY}[/tex]

[tex]\frac{15}{10}= \frac{9}{6}= \frac{CB}{RY}[/tex]

[tex]1.5= 1.5= \frac{CB}{RY}[/tex]

Ratio of sides CB and RY should be 1.5 for the similarity of two triangles.

Therefore, additional information required for the similarity of two triangles is "the measure of third sides of both the triangles should be known"

Answer:

JL = 7

Step-by-step explanation:

If JK = 4, KL = 3x, and JL = 7x, what is JL? ​

From the diagram given in tbe question,

JK + KL = JL

4 + 3x = 7x

Collect like terms

4 = 7x - 3x

4 = 4x

4x = 4

x = 4/4

x = 1

Since JL from the diagram = 7x

Hence:

7 × 1 = 7

JL = 7

Answer:

1/21

Step-by-step explanation:

1/3 / 7 = 1/3 / 7/1 = 1/3 * 1/7 = 1/21

Answer:

21

Step-by-step explanation:

1/3 x 7/1 you flip the 7 and you will have 1/3x1/7 and then u 7x3 and u will get 21

Answer: D. P, Q and R.

Step-by-step explanation:

The vertices of the triangle PQR - it is P, Q and R.

Answer: The answer is £2121.8.

You can check this formula....

Answer:

hear is your answer please mark as brain list

Answer:

[tex](x^3 + 3x^2 - x + 2)(x^2 + 6x -2) = x^5 + 9x^4+ 15x^3 + 2x^2 + 10x -4[/tex]

Step-by-step explanation:

Given

[tex](x^3 + 3x^2 - x + 2)(x^2 + 6x -2)[/tex]

Required

The equivalent expression

We have:

[tex](x^3 + 3x^2 - x + 2)(x^2 + 6x -2)[/tex]

Open bracket

[tex](x^3 + 3x^2 - x + 2)(x^2 + 6x -2) = x^5 + 6x^4 - 2x^3 + 3x^4 + 18x^3 - 6x^2 -x^3 + 6x^2 - 2x + 2x^2 + 12x -4[/tex]

Collect like terms

[tex](x^3 + 3x^2 - x + 2)(x^2 + 6x -2) = x^5 + 6x^4 + 3x^4- 2x^3 -x^3 + 18x^3 - 6x^2 + 6x^2 + 2x^2- 2x + 12x -4[/tex]

Evaluate like terms

[tex](x^3 + 3x^2 - x + 2)(x^2 + 6x -2) = x^5 + 9x^4+ 15x^3 + 2x^2 + 10x -4[/tex]

Answer:

Step-by-step explanation:

a) -14 , -9 , -4 , 1 ................

Common difference = d = 2nd term - 1st term

           = -9-[-14]

           = -9 + 14

          d = 5

The next term can be got by adding 5 to the previous term

5th term = 1 + 5 = 6

6th term = 6 + 5 = 11

7th term = 11 + 5 = 16

Next 3 terms are : 6 , 11 , 16

[tex]b) \frac{5}{6},\frac{2}{3},\frac{1}{2},\frac{1}{3},.....\\\\d = \frac{2}{3}-\frac{5}{6}\\\\=\frac{2*2}{3*2}-\frac{5}{6}\\\\=\frac{4}{6}-\frac{5}{6}\\\\=\frac{-1}{6}\\\\a_{5} = \frac{1}{3}+\frac{-1}{6}=\frac{1*2}{3*2}+\frac{-1}{6}=\frac{2}{6}+\frac{-1}{6}=\frac{1}{6}\\\\a_{6}=\frac{1}{6}+\frac{-1}{6}=0\\\\a_{7}=0+\frac{-1}{6}=\frac{-1}{6}\\\\\\Next 3 terms : \frac{1}{6},0,\frac{-1}{6}[/tex]

Answer:

Step-by-step explanation:

3(4 + 5 + 6)

= 3(15)

= 3 × 15

= 45 (Ans)

Answer:

Step-by-step explanation:

x²+7x-11=-5x+6

x²+7x+5x-11-6=0

x²+12x-17=0

[tex]x=\frac{-12\pm \sqrt{12^2-4*1*(-17)} }{2*1} \\=\frac{-12 \pm \sqrt{144+68} }{2} \\=\frac{-12 \pm \sqrt{212}}{2} \\=\frac{-12+2\sqrt{53}}{2}\\=-6 \pm \sqrt{53}[/tex]

Answer:

[tex]P(none) = 0.0859[/tex]

Step-by-step explanation:

Given

[tex]p =20\%[/tex] --- proportion of household that tuned to September

[tex]n =11[/tex] --- selected households

Required

[tex]P(none)[/tex]

Using the complement rule, the proportion that did not tune (q) is:

[tex]q= 1 - p[/tex]

[tex]q= 1 - 20\%[/tex]

[tex]q= 1 - 0.20[/tex]

[tex]q= 0.80[/tex]

So, the probability that none of the 11 tuned in is:

[tex]P(none) = q^{11}[/tex]

[tex]P(none) = 0.80^{11}[/tex]

[tex]P(none) = 0.0859[/tex]

Answer:

0.9

Step-by-step explanation:

0.7*(1.5 + y) = 3.5y - 1.47

or, (0.7*1.5) + 0.7y = 3.5y - 1.47

or, 1.05 + 1.47 = 3.5y - 0.7y

or, 2.52 = 2.8y

or, y = 2.52/2.8

or, y = 0.9

Hope this will help. Please mark me brainliest.

Answer:

A

Step-by-step explanation:

Answer:

NO

Step-by-step explanation:

No, because the sides are not congruent.

Answer:

240.8

Step-by-step explanation:

→ Calculate time taken

16:43 - 14:56 = 1 hour and 47 minutes

→ Write the speed formula and make distance the subject

Speed = Distance ÷ Time ⇔ Distance = Speed × Time

→ Convert 1 hour and 47 minutes into decimal format

1.78333333 or  [tex]1\frac{47}{60}[/tex]

→ Substitute values into formula

135 ×  [tex]1\frac{47}{60}[/tex]  = 240.75

Answer: (12, 0) and (0, 8)

Step-by-step explanation:

This equation is in standard form. We can sub in a number for x to solve for y and vice versa.

Let's sub in 0 for x.

[tex]2x+3y=24\\2(0)+3y=24\\3y=24\\\frac{3y}{3} =\frac{24}{3} \\y=8[/tex]

When x is 0 y is 8 giving us the coordinate (0, 8).

Now lets sub in 0 for y

[tex]2x+3(0)=24\\2x=24\\\frac{2x}{2} =\frac{24}{2} \\x=12[/tex]

When y is 0 x is 12 giving us the coordinate (12, 0)

Step-by-step explanation:

Begin by solving for y

3y = -2x + 24 divide by 3

y =-(2/3)x + 24

Choose x so that it is divisible by 3

Let x = 6 which 3 can divide into evenly

y = -(2/3)*6 + 24 3 into 6 is 2 so you are left with

y = - 2 * 2 + 24

y = - 4 +24

y = 20

By a similar mthed, let x = 15

y = -2/3 x + 24

y = -2/3 * 15 +24

y = -2 * 5 + 24

y = -10 + 24

y = 14

So your two solutions are

(6,20)

(15,14)

Answer:

Step-by-step explanation:

1 )  2 + 7t                        [ there are no like terms , so no further simplifying ]

2) 6r + ( - 16 r )

   =  6 r - 16 r                 [ both are like terms ]

   = - 10 r

3) (3x + 2 ) + ( 2x - 4 )

   = 3x + 2 + 2x - 4

   = 3x + 2x - 4 + 2               [ arranging like terms together ]

   = 5x - 2

4) (8 n² - 3 n + 6 ) + ( n - 2 )

   = 8n² - 3n  + 6 + n - 2

   = 8n² - 3n + n + 6 - 2             [ bringing like terms together ]

   = 8n² - 2n + 4

Answer:

1.) 2 + 7 t

2.) - 10 r

3.) 5 x - 2

4.) 8 n² - 2 n + 4

Step-by-step explanation:

1.) 2 + 7 t

No like terms, so no further simplifying.

2.) 6 r + ( - 16 r )

6 r - 16 r. ... ( combine like terms)

- 10 r

3.) ( 3 x + 2 ) + ( 2 x - 4 )

= 3 x + 2 + 2 x - 4

combine like terms

= 3 x + 2 x - 4 + 2

= 5 x - 2

4.) ( 8 n ² - 3 n + 6 ) + ( n - 2 )

= 8 n² - 3 n + 6 + n - 2

combine like terms

= 8n² - 3 n + n + 6 - 2

= 8 n² - 2 n + 4.

Answer:

if I'm not wrong it should be A

Answer:

The answer is going to be the general form for e^x = 1 + x/(1!) + + x^2/(2!) + x^3/(3!) +.....,. till infinity so : e^4 = 1 + 4/1 + 16/ 2 + 64/6 + 256/24 + 1024/ 120 + 4096/720 + 16384/5040 +...till the fraction is<0.1 = 54.6

Given:

The given number is:

[tex]96[/tex]

To find:

The product of prime factors of given number.

Solution:

We have,

[tex]96[/tex]

The prime factors of given number are:

2 | 96

2 | 48

2 | 24

2 | 12

2 | 6

3 | 3

  | 1    

So, 96 can be written as:

[tex]96=2\times 2\times 2\times 2\times 2\times 3[/tex]

Therefore, the 96 as the product of prime factors is [tex]96=2\times 2\times 2\times 2\times 2\times 3[/tex].

Answer:

2/3 mi

Step-by-step explanation:

Multiply the length of one side of a square by 4 to find the perimeter.

(1/6)(4) = 4/6

Simplify. The common factor is 2.

4/6 = 2/3

Answer:

0.07

Step-by-step explanation:

According to the Question,

Let C denote the event that a student takes calculus & S denote the event that a student is on scholarship.

We have,

⇒P(C ∪ S)=0.85 , P(C)=0.31 , P(S)=0.61

We Know, P(C∩S) = P(C) + P(S) − P(C∪S)

Then, Put the Above Values in the Equation, we get

So, P(C∩S) = 0.31 + 0.61 - 0.85 ⇒ 0.07