For homework, Anya had to find the width of a bedroom after the scale changed from 1 inch : 4 feet to 1 inch : 7 feet. Her work is shown below.

1 inch = 4 feet. 1 inches = 7 feet. A rectangle with length of 4 inches and width of 2 inches. StartFraction 1 over 7 EndFraction = StartFraction x over 2 EndFraction. 7 x = 2. x = StartFraction 2 over 7 EndFraction feet.

1
7
= x
2
7x = 2x = 2
7
feet

What error did Anya make?

Answer:

Set y = 0, evaluate the quadratic at h=−b2a and solve for k.

k=9 I think..... I'm not completely sure but I think that's how it is

Answer:

[tex]\displaystyle \text{Vertex} = \left(k, 3-k^2\right)[/tex]

Step-by-step explanation:

We are given the quadratic equation:

[tex]y=x^2-2kx+3[/tex]

Where k is a non-zero constant.

And we want to determine the vertex of the parabola in terms of k.

The vertex of a parabola is given by the formulas:

[tex]\displaystyle \text{Vertex}=\left(-\frac{b}{2a}, f\left(-\frac{b}{2a}\right)\right)[/tex]

In this case, a = 1, b = -2k, and c = 3.

Find the x-coorinate of the vertex:

[tex]\displaystyle x=-\frac{(-2k)}{2(1)}=\frac{2k}{2}=k[/tex]

To find the y-coordinate, we substitute the value we acquired back into the equation. So:

[tex]\displaystyle \begin{aligned} y(k)&=(k)^2-2k(k)+3\\&=k^2-2k^2+3\\&=3-k^2\end{aligned}[/tex]

Therefore, our vertex in terms of k is:

[tex]\displaystyle \text{Vertex} = \left(k,3-k^2\right)[/tex]

Answer:

ab + bc + ca = 40

Step-by-step explanation:

Using the expansion identity

(a + b + c)² = a² + b² + c² + 2(ab + bc + ca) , that is

9² = 1 + 2(ab + bc + ca)

81 = 1 + 2(ab + bc + ca) ← subtract 1 from both sides

80 = 2(ab + bc + ca) ← divide both sides by 2

40 = ab + bc + ca

Answer:

565.6854249 without rounds

Answer:

Step-by-step explanation:

Well, the area is 400m^2 so we know each side is 20 feet long. Then with that we can make a 40deg 40deg 90deg triangle with the side lengths 20, 20, and x. So, the proportion would be 20/1=x/rad2. This gives us x=28.28, so the fence is 28.28m long. Hope this helps :))

Answer:

y = -1/2 x -5

Step-by-step explanation:

The slope intercept form of an equation is

y = mx+b where m is the slope and b is the y intercept

We know b

y = mx-5

Substitute the values of x and y into the equation to determine the slope

-2 = m(-6) -5

Add 5 to each side

-2+5 =-6m

3 = -6m

Divide by -6

3/-6 = m

The slope is -1/2

y = -1/2 x -5

Answer:

A

Step-by-step explanation:

Answer:

5/2

Step-by-step explanation:

We know,

Equation of the slope is, y = mx + c.   Where m is the slope.

y - 4 = 5/2*(x-2)

y = 5/2*(x-2) + 4

y = (5/2)x - 5 + 4

y = (5/2)x - 1

y = (5/2)x + (-1)      [y = mx + c form]

Slope, m = 5/2

Hope this will help. Please mark me brainliest.

Simplify 52⋅(x−2)52⋅(x-2). Apply the distributive property. y−4=5/2x+5/2⋅−2 Combine 5252 and x

y−4=5x2+5/2⋅−2 Cancel the common factor of 2.Factor 2 out of −2

y−4=5x2+52⋅(2(−1))y-4=5x2+52⋅(2(-1))

Cancel the common factor.

y−4=5x2+52⋅(2⋅−1)y-4=5x2+52⋅(2⋅-1)

Rewrite the expression.

y−4=5x2+5⋅−1y-4=5x2+5⋅-1

Multiply 55 by −1-1.

y−4=5x2−5

Add 44 to both sides of the equation.

y=5x2−5+4y=5x2-5+4

Add −5-5 and 44.

y=5x2−1

Reorder terms.

y=52x−1

THE ANSWER IS M = 5/2

Answer:

9(x + 2)

Step-by-step explanation:

3/5(x+30)

multiply fractions

3(15x + 30)/5

factor 3(15x + 30) = 45(x + 2)

divide the numbers

45(x + 2)/5

45/5=9

= 9(x + 2)

Answer:

9x + 18

Step-by-step explanation:

[tex]\frac{3}{5} ( 15x + 30 )[/tex]

9x + 18

Answer:

$200

Step-by-step explanation:

Given :

Cost of blender + import duty = $240

Import duty = 20% of cost price

Let :

Cost of blender = x

Import duty = 20% of x = 0.2x

Therefore,

x + 0.2x = $240

1.2x = 240

x = 240 / 1.2

x = $200

Cost of blender = $200

Answer:

x=20,y=34

Step-by-step explanation:

x+14=2x-6 (vertically opposite angles)

x-2x = -6-14

-x = -20

x=20

x+14=y (corresponding angles)

20+14=y

y=34

Answer:

x = 20, y = 34

Step-by-step explanation:

(2x - 6) and (x + 14) are vertical angles and are congruent, then

2x - 6 = x + 14 ( subtract x from both sides )

x - 6 = 14 ( add 6 to both sides )

x = 20

Then

2x - 6 = 2(20) - 6 = 40 - 6 = 34

y and (2x - 6) are alternate angles and are congruent , so

y = 34

Answer:

x = 25

Step-by-step explanation:

The volume (V) of the triangular prism is calculated as

V = Al ( A is the area of the triangular face and l is its length )

A = [tex]\frac{1}{2}[/tex] bh = 0.5 × 5 × 8 = 20 cm² , then

V = 20 × 20 = 400 cm³

The volume of the cuboid is calculated as

V = lbh = 3.2 × 5 × x = 16x

Given V = 400 cm³ , then

16x = 400 ( divide both sides by 16 )

x = 25

Answer:

Step-by-step explanation:

[tex] = > 12 \times 2[/tex]

[tex] = 24[/tex]

Answer:

Theresa is 58.82 in tall

Step-by-step explanation:

Let  

x----------> Paul and Steve heights

y----------> Theresa height

we know that

1 1/2-------> 3/2---> 1.5

1 1/3-------> 4/3----> 1.33

Paul says he is 16 inches shorter than 1 1/2 times Theresa's height

x=1.5y-16-------> equation 1

Steve says he's 6 inches shorter than 1 1/3 times Theresa's height

x=1.33y-6------> equation 2

equals 1 and 2

1.5y-16=1.33y-6

1.5y-1.33y=-6+16

0.17y=10----------> y=58.82 in

x=1.5y-16------> 1.5*(58.82)-16------> x=72.24 in

the answer is

Theresa is 58.82 in tall

Answer:

The partial sum that models the situation

is Sn=a1(1 - rn)/(1 - r).

n = number of years Mia works this job

an = Mia's salary during her nth year

Sn = total amount Mia earns after n years

r = percent increase, represented as a decimal, plus 1, because the total salary is needed and not just the amount of each increase

Answer:

The partial sum that models the situation

is Sn=a1(1 - rn)/(1 - r).

n = number of years Mia works this job

an = Mia's salary during her nth year

Sn = total amount Mia earns after n years

r = percent increase, represented as a decimal, plus 1, because the total salary is needed and not just the amount of each increase

Step-by-step explanation:

We have a linear function y=kx+b and we know that                                                       [tex]\displaystyle\bf \left \{ {{5*1+c=2} \atop {5p+c=-2}} \right.=>\left \{ {{c=-3} \atop {5p+c=-2}} \right. => 5p-3=-2 => p=\frac{1}{5}[/tex]                                       [tex]\displaystyle\bf Answer: \boxed{C) \quad p=\frac{1}{5} }[/tex]                            

Answer:

Its B. You can avoid having a hold placed on when your funds are available

Step-by-step explanation:

I just got it right rn.

The value of the x is 27.

We have given that the diagram of a rhombus

We have to determine the value of the x

The angle is sitting on a right angle because rhombuses have 4 right angles

90 = 4x-18

108 = 4x

x = 27

Therefore the value of the x is 27.

To learn more about the rhombus visit:

https://brainly.com/question/20627264

#SPJ1

Answer: It's 14, not 27.

Step-by-step explanation:

Answer:

7.5 grams

Step-by-step explanation:

The percent of gum Arabic is 100 -30 -40 = 30 %

30%  of 25 g =

.30 * 25

7.5 grams

Answer:

[tex]7.5gm[/tex]

Step-by-step explanation:

Solution:

[tex]100\% - 30\% - 4\% = 3\% \: arabic \\ 30\% \times 25 = 7.5[/tex]

Answer:

log (9) + log(4)

Step-by-step explanation:

log (9.4)

Log (ab) = log (a) + log (b)

log (9) + log(4)

Answer:

A. log ( 9 ) + log ( 4)

Step-by-step explanation:

log( 9.4)

use log (a*b) = log (a) + log (b) to expand expression

log (9) + log (4)

Answer:

64, 125, 216

Step-by-step explanation:

1, 8, and 27 are perfect cubes, i.e., each is the cube of an integer, and they're perfect cubes of consecutive positive integers:

1 = 1³ = 1×1×1

8 = 2³  

27 = 3³

Therefore, the next three-term numbers of the given sequence are:

64 =  4³

125 = 5³ and

216 = 6³

Therefore, the final sequence will look like this:

1, 8, 27, 64, 125, 216

Answer:

r = (200 - y)/π

Step-by-step explanation:

The question details  includes;

The shape of the indoor track = Two semi-circular ends and a mid rectangular region

The distance around the indoor track = 400 meters

The radius, r, of the semicircular ends in terms of y = Required

Let y represent the length of the rectangular middle area of the track, we have;

The perimeter of the indoor track = The distance around the track = 400 m

The perimeter of the indoor track = 2 × π·r + 2 × y = 400

2 × (π·r + y) = 400

∴ π·r + y = 400/2 = 200

r = (200 - y)/π

Answer:

Formula: C= $15n + $250

50 People: $1000

100 People: $1750

Formula: n= (C- $250)/ 15

$4000 Budget: 250 Guests

$2000 Budget: 116.67 Guests

Step-by-step explanation:

Since the rental is $250 with an additional charge of $15 per person, we write this as C = $250 + $15n.

With the given equation, simply substitute n for the amount of guests.

C = $250 + $15(50) = $1000

C = $250 + $15(100) = $1750

To solve for n, everything would need to be moved to isolate n. This can be achieved by first subtracting $250 from each side: C- 250= 15n

Then divide both sides by 15, making the new equation: (C-250)/15 = n

Again, substitute C with allowed cost to find the amount of guests allowed.

n = ($4000- 250)/ 15 = 250 People

n = ($2000-250)/15 = 116.67 People

Answer:

a. 125 – 7d

Step-by-step explanation:

Let d be the number of days.

Given the following data;

Total distance (month) = 125 miles

Distance covered per day = 7 miles

To determine how many miles he has left to run after running for "d" days, this mathematical expression can be used;

Total distance - distance covered per day = number of miles remaining

[tex] 125 - 7d [/tex]

Answer:

y - 4 = (9/4)(x - 4)

Step-by-step explanation:

Here we're given the slope (9/4) of a line and one point (4, 4) on the line.  The easiest form of the equation of a straight line to use here is the point-slope form:

y - k = m(x - h).

Here h = 4 and k = 4; the slope is m = 9/4.

Thus, the desired equation is

y - 4 = (9/4)(x - 4)

Answer:

Yes, it is

Step-by-step explanation:

A straight line graph is of the general form;

y = mx + b

where m is the slope and b is the y intercept

We can rewrite what we have as

3y = -2x + 5

y = -2x/3 + 5/3

As we can see, it can be expressed in the general form and that makes it a straight graph

Answer:

V = 0.375 units³

Step-by-step explanation:

The volume of a rectangular prism is V = lwh.

Where l is the length, w is the width, and h is the height.

Given 1 unit(s) for the length, ¾ unit(s) for the width, and ½ unit(s) for the height.

V = lwh

V = (1)(¾)(½) units

V = (⅜) units

V = 0.375 units

Answer:

7/8

Step-by-step explanation:

Solution :

As Sally determines the angle of rotation, since it is π, she lies on the negative x-axis. The first block then should be negative x-axis if r is positive and in the positive x-axis if r is negative.

My other reason for changing the dragged phase would be as they used the word, therefore, in the last sentence, which would mean an interference from the above statements, from the drag phase you have given the interference would be positive x-axis.

Answer:

the third one

Step-by-step explanation:   6  22  22  24

the quotient is 86.6666666   the repeating 6 is sometimes written with a bar above the .6  like

86.6   except the bar is on top of the second 6